the relationship origin
DESCRIPTION
TRANSCRIPT
Southern Taiwan University
Department of Business Administration
(IMBA) Program
Master’s Thesis
THE RELATIONSHIP BETWEEN
WORKING CAPITAL MANAGEMENT
AND PROFITABILITY: A VIETNAM
CASE Graduate student: Huynh Phuong Dong
研究生: 桜橄
Advisor: Assistant Professor Jyh-Tay Su 指導教授: 証扐炮
May, 2010
i
Acknowledgements
I am deeply grateful for the encouragement and support throughout the
preparation of this thesis. I would like to express my deepest acknowledgement to my
supervisor, professor Jyh- Tay Su from the Southern Taiwan University, for his valuable
advice and recommendations.
I acknowledge Dr. Tran Phuoc Tru and Mr Nguyen Ba The from Da Nang
university of economics for their support with statistical techniques and data analysis.
I would like to thank my friends in Southern Taiwan University who have
supported me about material as well spirit in order to finish this thesis.
Finally, to my parents and my wife, I wish to extend my loving thanks for their
encouragement. My greatest debt of gratitude is to my wife, Mrs. Le Anh Phe, who was
patiently supporting me during my study in Taiwan. This thesis could not have been
written without her daily encouragement.
ii
Abstract
The working capital management plays an important role for success or failure
of firm in business because of its effect on firm’s profitability as well on liquidity. The
thesis is based on secondary data collected from listed firms in Vietnam Stock Exchange
(VSE) for the period of 2006-2008 with an attempt to investigate the relationship
existing between profitability, the cash conversion cycle and its components for listed
firms in VSE. The finding shows that there is a strong negative relationship between
profitability, measured through gross operating profit, and the cash conversion cycle.
This means that as the cash conversion cycle increases, it will lead to declining of
profitability of firm. Therefore, the managers can create a positive value for the
shareholders by handling the adequate cash conversion cycle and keeping each
different component to an optimum level.
Keywords: Working Capital Management, Gross operating profitability,
Vietnam Stock Exchange.
iii
Table of contents
Acknowledgements ............................................................................................................ i
Abstract ............................................................................................................................. ii
Table of contents .............................................................................................................. iii
List of tables ..................................................................................................................... v
List of figures ................................................................................................................... vi
CHAPTER ONE INTRODUCTION ............................................................................... 1
1.1 Background ............................................................................................................. 1
1.2 Aims of research ..................................................................................................... 3
1.3 Research structure ................................................................................................... 4
CHAPTER TWO LITERATURE REVIEW ................................................................... 5
2.1 Theory about working capital management and profitability ................................. 5
2.2 Related literature review ......................................................................................... 9
CHAPTER THREE RESEARCH METHODOLOGY ................................................. 21
3.1 Research design .................................................................................................... 21
3.2 Research method ................................................................................................... 21
3.3 Variable definitions and model development ....................................................... 22
3.3.1 Variable measurement ................................................................................... 22
3.3.1.1 Dependent variable ................................................................................. 22
3.3.1.2 Independent variable ............................................................................... 24
3.3.1.3 Control variable ...................................................................................... 26
3.3.2 Hypotheses ..................................................................................................... 26
3.3.3 Model development ....................................................................................... 28
3.3.3.1 Model classification ................................................................................ 28
3.3.3.2 Model development for this research ...................................................... 29
3.4 Data collection methods........................................................................................ 30
3.5 Data transformation .............................................................................................. 31
3.6 Data analysis methods .......................................................................................... 32
3.6.1 Descriptive statistics ...................................................................................... 32
iv
3.6.2 Correlation analysis ....................................................................................... 32
3.6.3 Multiple Regression analysis ......................................................................... 32
CHAPTER FOUR RESEARCH RESULTS .................................................................. 33
4.1 Descriptive statistics ............................................................................................. 33
4.2 Correlation analysis .............................................................................................. 35
4.3 Multiple regression analysis ................................................................................. 37
CHAPTER FIVE CONCLUSIONS AND IMPLICATIONS ........................................ 48
5.1 Conclusions ........................................................................................................... 48
5.2 Implications .......................................................................................................... 50
5.3 Limitations of research ......................................................................................... 52
References ....................................................................................................................... 53
Appendix ......................................................................................................................... 57
Appendix 1: Model 1 .................................................................................................. 57
Appendix 2: Model 2 .................................................................................................. 57
Appendix 3: Model 3 .................................................................................................. 58
Appendix 4: Model 4 .................................................................................................. 58
Appendix 5: Test normal for model 1 ......................................................................... 59
Appendix 6: Test normal for model 2 ......................................................................... 60
Appendix 7: Test normal for Model 3 ........................................................................ 62
Appendix 8: Test normal for model 4 ......................................................................... 63
v
List of tables Table 4.1: Descriptive statistics………………………………………………………... 33
Table 4.2: Correlation matrix………………………………………………………….. 35
Table 4.3: Variables entered/removeb for model 1…………………………………… 37
Table 4.4: Model summaryb for model 1…………………...………………………….. 37
Table 4.5: ANOVA result for model 1… …………….…….………………………... 38
Table 4.6: Result of regression model for mode 1… …….………………..………... 38
Table 4.7: Variables entered/removeb for model 2….…………………….……….…… 39
Table 4.8: Model summaryb for model 2……………..…………………….………….. 39
Table 4.9: ANOVA result for model 2………..…………..…………….…………….. 39
Table 4.10: Result of regression model for mode 2……………………………….…… 40
Table 4.11: Variables entered/removeb for model 3…..………..……………………… 40
Table 4.12: Model summaryb for model 3…………………..…………………………... 41
Table 4.13: ANOVA result for model 3………...……………………………………..... 41
Table 4.14: Result of regression model for mode 3..……………………………….…… 41
Table 4.15: Variables entered/removeb for model 4…..………..……….……………….. 42
Table 4.16: Model summaryb for model 4…….…………….…………………………... 42
Table 4.17: ANOVA result for model 4……………....……….………………………... 42
Table 4.18: Result of regression model for mode 4……………………………….…… 43
Table 5.1: Hypothesis test results………………...……………………………………. 50
vi
List of figures Figure 1.1: Research structure………………………………………………… 4
Figure 3.1: The Cash conversion cycle………………………………………. 25
Figure 3.2: Analytical model………………………………………………… 30
Figure 5.1: The relationship between working capital management and
profitability……………………………………………………….. 49
1
CHAPTER ONE INTRODUCTION
1.1 Background Assets in commercial firm consist of two kinds: fixed assets and current assets.
Fixed assets include land, building, plant, furniture, etc. Investment in these assets
represents that of part of firm’s capital, which is permanently blocked on a permanent or
fixed basis and is also called fixed capital that generates productive capacity. The form
of these assets does not change, in the normal course. In the contrast, current assets
consist of raw materials, work-in-progress, finished goods, bills receivable, cash, bank
balance, etc. These assets are bought for the purpose of production and sales, like raw
material into semimanufactured products, semimanufactured products into finished
products, finished products into debtors and debtors turned over cash or bills receivable.
The fixed assets are used in increasing production of an organization and the
current assets are utilized in using the fixed assets for day to day working. Therefore,
the current assets, called working capital, may be regarded as the lifeblood of a business
enterprise. It refers to that part of the firm’s capital, which is required for financing
short-term.
The management of this working capital is known as working capital
management. The basis objective of working capital management is to manage firm’s
current assets and current liabilities, in such a way, that working capital are maintained,
at a satisfactory level. The working capital should be neither more nor less, but just
adequate.
Working capital management plays an important role in a firm’s profitability and
risk as well as its value (Smith, 1980). There are a lot of reasons for the importance of
working capital management. For a typical manufacturing firm, the current assets
account for over half of its total assets. For a distribution company, they account for
even more. Excessive levels of current assets can easily result in a firm’s realizing a
substandard return on investment. However, Van Horne and Wachowicz (2004) point
out that excessive level of current assets may have a negative effect of a firm’s
profitability, whereas a low level of current assets may lead to lowers of liquidity and
stock-outs, resulting in difficulties in maintaining smooth operations.
Efficient management of working capital plays an important role of overall
corporate strategy in order to create shareholder value. Working capital is regarded as
2
the result of the time lag between the expenditure for the purchase of raw material and
the collection for the sale of the finished goods. The way of working capital
management can have a significant impact on both the liquidity and profitability of the
company (Shin and Soenen, 1998). The main purpose of any firm is maximum the
profit. But, maintaining liquidity of the firm also is an important objective. The problem
is that increasing profits at the cost of liquidity can bring serious problems to the firm.
Thus, strategy of firm must be a balance between these two objectives of the firms.
Because the importance of profit and liquidity are the same so, one objective should not
be at cost of the other. If we ignore about profit, we cannot survive for a longer period.
Conversely, if we do not care about liquidity, we may face the problem of insolvency.
For these reasons working capital management should be given proper consideration
and will ultimately affect the profitability of the firm.
Working capital management involves planning and controlling current assets
and current liabilities in a manner that eliminates the risk of inability to meet due short
term obligations on the one hand and avoid excessive investment in these assets on the
other hand ( Eljelly, 2004). Lamberson (1995) showed that working capital management
has become one of the most important issues in organization, where many financial
managers are finding it difficult to identify the important drivers of working capital and
the optimum level of working capital. As a result, companies can minimize risk and
improve their overall performance if they can understand the role and determinants of
working capital. A firm may choose an aggressive working capital management policy
with a low level of current assets as percentage of total assets, or it may also be used for
the financing decisions of the firm in the form of high level of current liabilities as
percentage of total liabilities (Afza and Nazir, 2009). Keeping an optimal balance
among each of the working capital components is the main objective of working capital
management. Business success heavily depends on the ability of the financial managers
to effectively manage receivables, inventory, and payables (Filbeck and Krueger, 2005).
Firms can decrease their financing costs and raise the funds available for expansion
projects by minimizing the amount of investment tied up in current assets. Lamberson
(1995) indicated that most of the financial managers’ time and efforts are consumed in
identifying the non-optimal levels of current assets and liabilities and bringing them to
optimal levels. An optimal level of working capital is a balance between risk and
efficiency. It asks continuous monitoring to maintain the optimum level of various
3
components of working capital, such as cash, receivables, inventory and payables (Afza
and Nazir, 2009). A popular measure of working capital management is the cash
conversion cycle, which is defined as the sum of days of sales outstanding (average
collection period) and days of sales in inventory less days of payables outstanding
(Keown et al, 2003). The longer this time lag, the larger the investment in working
capital. A longer cash conversion cycle might increase profitability because it leads to
higher sales. However, corporate profitability might also decrease with the cash
conversion cycle, if the costs of higher investment in working capital is higher and rises
faster than the benefits of holding more inventories and granting more inventories and
trade credit to customers (Deloof, 2003).
Lastly, working capital management plays an important role in managerial
enterprise, it may impact to success or failure of firm in business because working
capital management affect the profitability of the firm. The thesis is expected to
contribute to better understanding of relationship between working capital management
and profitability in order to help managers taking a lot of solutions to create value for
their shareholders, especially in emerging markets like Vietnam.
1.2 Aims of research This research is focusing on working capital management and its effects on
profitability for a sample of Vietnamese firms. The main objectives are:
• To investigate a relationship between working capital management and
profitability over a period of 3 years for 130 Vietnamese firms listed on Vietnam
Stock Exchange.
• To find out the effects of different components of working capital management
on profitability.
• To find out the relationship between profitability and size of Vietnamese firms.
• To find out the relationship between debt ratio used by the Vietnamese firms and
its profitability.
• To draw conclusion about relationship of working capital management and
profitability of Vietnamese firms.
4
1.3 Research structure This thesis is structured into 5 chapters. Chapter 1 introduces the research
including introduction, aims of research, structure of the study. Chapter 2 introduces
about literature review including theory about working capital management and
profitability, literature review about the relationship between working capital
management and profitability. Chapter 3 discusses methodology utilized in the research.
Chapter 4 analyses the data collected and presents the findings of the research. Chapter
5 points out conclusions and the implications of the research findings.
Figure 1.1 Research structure
INTRODUCTION
LITERATURE REVIEW
RESEARCH METHODOLOGY
RESEARCH RESULTS
CONCLUSIONS AND IMPLICATIONS
5
CHAPTER TWO LITERATURE REVIEW
2.1 Theory about working capital management and profitability According to Van Horne and Wachowicz (2004), working capital management
is the administration of current assets in the name of cash, marketable securities,
receivables, and inventories. Osisioma(1997) described working capital management as
the regulation, adjustment, and control of the balance of current assets and current
liabilities of a firm such that maturing obligations are met, and the fixed assets are
properly serviced.
Smith (1980) showed that the working capital management plays an important
role in a firm’s profitability and risk as well as its value. Efficient management of
working capital is very essential in the overall corporate strategy in order to create
shareholder value. Firms try to maintain an optimum level of working capital that
maximizes value for shareholders (Deloof, 2003)
According to Harris (2005), working capital management is a simple and
straightforward concept of ensuring the ability of the organization to fund the difference
between short-term assets and short-term liabilities. However, a ‘total approach’ should
be followed which covers all the activities of the company relating to vendors,
customers and products (Hall, 2002). In practice, working capital management has
become one of the most important issues in organizations, where many financial
managers are finding it difficult to identify the important drivers of working capital and
the optimum level of working capital (Lamberson, 1995). Consequently, companies can
reduce risk and improve their overall performance if they can understand the role and
determinants of working capital. A firm may apply an aggressive working capital
management policy with a low level of current assets as percentage of total assets, or it
may also be used for the financing decisions of the firm in the form of high level of
current liabilities as percentage of total liabilities (Afza and Nazir, 2009). Excessive
levels of current assets may have a negative effect on a firm’s profitability, whereas a
low level of current assets may lead to lower levels of liquidity and stock outs, resulting
in difficulties in maintaining smooth operations (Van Horne and Wachowicz, 2004).
The main objective of working capital management is to maintain an optimal balance
among each of the working capital components (Afza and Nazir, 2009). In the light of
6
view, Filbeck and Krueger (2005) stressed business success heavily depends on the
ability of the financial managers to effectively manage receivables, inventory, and
payables. Firms can reduce their financing costs and/or increase the funds available for
expansion projects by minimizing the amount of investment tied up in current assets
(Afza and Nazir, 2009). Most of the financial managers’ time and efforts are consumed
in identifying the non-optimal levels of current assets and liabilities and bringing them
to optimal levels (Lamberson, 1995). An optimal level of working capital is the one in
which a balance is achieved between risk and efficiency. It requires continuous
monitoring to maintain the optimum level of various components of working capital,
such as cash, receivables, inventory and payables (Afza and Nazir, 2009).
Efficient working capital management is an integral component of the overall
corporate strategy to create shareholder value. Working capital is the result of the time
lag between the expenditure for the purchase of raw materials and the collection for the
sale of the finished products. The continuing flow of cash from suppliers to inventory to
accounts receivable and back into cash is usually referred to as the cash conversion
cycle. Smith (1980) firstly signaled the importance of the trade-offs between the dual
goals of working capital management, i.e. liquidity and profitability. In other words,
decisions that tend to maximize profitability tend not to maximize the chances of
adequate liquidity. Conversely, focusing almost entirely on liquidity will tend to reduce
the potential profitability of the company.
A few key performance ratios of a working capital management system are the
working capital ratio, inventory turnover and the collection ratio. Ratio analysis will
lead management to identify areas of focus such as inventory management, cash
management, accounts receivable and payable management.
The component of working capital management includes following contents:
Number of days accounts receivable
Number of days accounts receivable is a key figure which measures the average
amount of time that a company holds its accounts receivable. It is calculated by the
following equation:
Number of days accounts receivable = Accounts receivable / sales * 365
Number of days inventories
Number of days inventories is a key figure which measures the average amount
of time that a company holds its inventory. It is calculated by the following equation:
7
Number of days inventories = Inventory / Costs of goods sold * 365
Number of days accounts payable
Number of days accounts payable is a key figure which measures the average
amount of time that a company holds its accounts payable. It is calculated by the
following equation:
Number of days accounts payable = Accounts payable / Costs of goods sold * 365
Cash conversion cycle
The cash conversion cycle is defined as the sum of days of sales outstanding
(average collection period) and days of sales in inventory less days of payables
outstanding (Keown et al, 2003). The cash conversion cycle concept also matches the
principle of cash management well, i.e. to collect cash as quickly as possible, to
postpone cash outflow as long as possible, and to put available cash to the best use
when we have it. The length of a firm cash conversion cycle depends on the number of
day’s credit it gets from its suppliers, the length of the production process and the
number of days finished products remain in inventory before they are sold, and finally,
the average collection period from the company customers. The length of the cash
conversion cycle is instrumental in determining the degree to which the firm must rely
on external financing. Accounts payable are a form of spontaneous credit generated
through the normal production process of the firm. This spontaneous credit has no
explicit financing charge (interest payments) as long as no penalty is charged for late
payment. Rising sales often present a firm with a serious financing problem because the
firm must finance its operations. The cash conversion cycle is also closely related to the
issue of firm valuation. The shorter the cash conversion cycle, the higher the present
value of net cash flows generated by the assets and thus, the higher the value of the firm.
Likewise, the shorter the cash conversion cycle, that is, the fewer the number of days
cash is tied up in working capital not offset by “free” financing in the form of deferred
payments, the more liquid the condition of the firm. The cash conversion cycle is a
measure for the efficiency of working capital management as it indicates how quickly
current assets are converted into cash.
Cash conversion cycle = number of days accounts receivable + number of days
inventories – number of days accounts payable
8
Importance of profitability
McMahon (1995) indicated that one goal of financial management is to
maximize the owner’s wealth. Thus, profitability is one of the most important objectives
of financial management as well in determining the success or failure of a business. At
the establishment stage, a business may not be profitable because of investment and
expenses for establishing the business. When the business becomes mature, profits have
to be produced. Thomas and Evanson (2006) indicated that the goal of a business is not
only for the generation of sales, but also for the generation of profits. Profit is especially
important because it is necessary for the survival of a business. Davidson and Dutia
(1991) stressed low profitability contributes to under-capitalization problems because it
leads to fewer dollars as retained earnings and therefore to a reliance on external capital.
Defining and measuring profitability
In general, accounting profits are calculated by revenues minus costs. However,
the problem of profitability measured by accounting is that they ignore risk (Nguyen,
2001). In the economic sense, a firm is profitable only if its profitability is greater than
investors can achieve independently in the capital market. Ross et al. (2005) took some
methods to measure profitability including return on sales, return on assets, and return
on equity.
• Profit margins are computed by dividing net income by revenue and thus express
profits as a percentage of total operating revenue.
• Return on assets is the ratio of net income to average total assets, and measures
managerial performance.
• Return on equity is defined as net income divided by average stockholders’
equity, and shows profit available for stockholders.
Cohen (2005) indicated a lot of different ratios to measure profitability of the
business. They consisted of asset-earning power, return on the owner’s equity, net profit
on sales, and return on investment.
• Asset-earning power is determined by the ratio of earnings before interest and
tax to total assets. It indicates how much operating profit each dollar of total
assets earns.
• Return on the owner’s equity is computed by dividing net income by average
equity, and shows return that the business received in exchange for investment.
9
• Net profit on sales is determined by the ratio between net income and net sales,
and measures the difference between what the business takes in and what it
spends in the process of doing business.
• Return on investment is simply computed by dividing net profit by total
investment. This measure is very useful for measuring profitability.
Factors influencing profitability
Based on the profitability measures presented by Cohen (2005), it can see that
the main factors influencing profitability include revenues, cost and capital. Generally,
revenue is determined or influenced by marketing, sales management and new product
development, whereas cost and capital are mainly affected the financial management
practices.
Burns (1985) found that there were many different economic factors that could
affect profitability. Lev (1983) also showed that variability of profit measures over time
is affected by type of product, degree of competition, degree of capital intensity as well
firm size. Kirchhoff and Kirchhoff (1987) implemented a research in order to examine
family contributions to productivity and profitability in small businesses. The findings
of the research showed that family members are more productive than other employees.
However, in their study family member’s productivity did not increase profitability.
Results showed the opposite, as paid family labor increases, profitability decreases. As
family member participation increases, wage and salary expense increase as a
percentage of revenue, thereby causing profit as a percentage of sales to decline.
2.2 Related literature review Working capital is essential for day-to-day operations of a business, and thus it
is the life-blood of any business. Working capital management is about the management
of current assets and current liabilities in such a way that a satisfactory level of working
capital, which maximizes the profits of the firm, is maintained. Inadequacy of working
capital may lead the firm to insolvency, whereas excessive working capital implies idle
funds which earn no profits. Therefore, efficient management of working capital is an
integral part of the overall corporate strategy to improve corporate profitability. But in
reality, controversy persists on the issue whether the working capital of a firm affects its
profitability or not. Following empirical studies are good literature for establishing the
relationship between working capital management and profitability.
10
By carefully monitoring both the timing and magnitude of cash flows, managers
can minimize loan draws or create cash for investment purposes and therefore lessen net
interest expenses. The cash conversion cycle, by reflecting the net time interval between
actual cash expenditures for the purchase of productive resources and the ultimate
collection of receipts from product sales, provides a valid alternative for measuring
corporate liquidity. The length of the cash conversion cycle is instrumental in
determining the degree to which a firm must rely on external financing. The cash
conversion cycle is closely related to issue of firm valuation. Soenen (1993)
implemented an empirical to examine the relationship between cash conversion cycle
and corporate profitability for 20 different industries during the period 1970-1989. The
research shows that there is negative relationship between a firm’s net trade cycle and
its profitability measured by the total return on total assets. The results demonstrate that
shorter net trade cycles are most commonly associated with higher profitability while
the reverse is also true. However, the relationship is not found to be very strong.
Analysis at the specific industry level indicates that the inverse association between the
net trade cycle and the profitability of firm is very different, depending on the type of
industry. The results show that, in most firms in these industries, managing the
corporate cash cycle efficiently has a direct impact on corporate profitability. This study
also shows that it is of interest for any individual firm to calculate the net trade cycle
and to make a comparison with other firms in the same industry. This calculation would
give the firm an indication of the efficiency of its working capital management relative
to others in the same industry. Moreover, a firm could verify whether changes in
operating and financial management practices with regard to the management of the
different components of working capital had a measurable impact on a profitability of
firm.
The cash conversion cycle measures the time between cash outlays for resources
and cash receipts from product sales. The cash conversion cycle is dynamic in the sense
that it combines both balance sheet and income statement data to create a measure with
a time dimension. A conservative approach to liquidity management results in a higher
cash conversion cycle by increasing the inventory period and the accounts receivables
period while reducing the accounts payables period. Management of the firm’s cash
conversion cycle involves tradeoffs between liquidity and profitability. If the days in
inventory are reduced too far, the firm loses sales from customer requiring credit. If the
11
firm increases the days in payable too much, discounts for early payments and
flexibility for future are both lost. Jose et al., (1996) made an empirical research to
investigate the relationship between profitability measures and management of ongoing
liquidity needs. The sample for research consisted of 2,718 firms for the twenty-year
period from 1974 to 1993. The data are taken from the annual Compustat tapes. The
study used correlation, nonparametric and multiple regression procedures on order to
evaluate the cross-sectional relationships between profitability measures and the cash
conversion cycle. The findings of research shows that more aggressive liquidity
management (lower cash conversion cycle) is associated with higher profitability for
several industries, including natural resources, manufacturing, service, retail and
professional services. For these industries, there is a statistically significant inverse
relationship between cash conversion cycle and profitability and this relationship is not
driven by size. The cross-sectional relationship between cash conversion cycle and
profitability is not significant statistic in the construction industry. The paper also
indicated that there is a statistically significant negative relationship between cash
conversion cycle and profitability disappears when size differences in natural resources
firms are controlled. Finally, a statistically significant negative relationship between
cash conversion cycle and profitability is found only when size differences are
controlled in the financial service industry.
Efficient working capital management plays an important role of corporate
strategy to create shareholder value. Working capital is the result of the time lag
between the expenditure for the purchase of raw materials and the collection for the sale
of the finished products. The continuing flow of cash from suppliers to inventory to
accounts receivable and back into cash is usually referred to as the cash conversion
cycle (Shin and Soenen, 1998). Working capital management can have a significant
impact on the liquidity as well profitability of the company. Smith (1980) first signaled
the importance of the trade-offs between the dual goals of working capital management,
i.e. liquidity and profitability. In other words, decisions that tend to maximize
profitability tend not to maximize the chances of adequate liquidity. Conversely,
focusing almost entirely on liquidity will tend to reduce the potential profitability of the
company. Shin and Soenen (1998) had implemented an empirical research about
efficiency of working capital management and corporate profitability. A sample of
58,985 firm years covering the period 1975-1994 is used in order to investigate the
12
relationship between firm’s efficiency of working capital management and its
profitability. Net trade cycle, calculated by (inventory + accounts receivable – accounts
payable)*365/sale, is used as an independent variable in the regression model.
Profitability, measured by operating income plus depreciation related to total assets
(IA), is used as a dependent variable. Current ratio, sales growth, debt ratio are used as
control variables. Pearson correlation and regression analysis are utilized for examining
this relationship. The results provide strong evidence of a negative association between
the net trade cycle and corporate profitability. Profitability is also significantly
negatively related to current ratio. In other words, liquidity and profitability are clearly
inversely related. The paper claim that reducing the net trade cycle as a way to enhance
the efficiency of working capital management pays off in terms of increased operating
income and higher risk adjusted return for the shareholders. Therefore, reducing the
firm’s net trade cycle is one possible way for the firm to create additional shareholders
value. In addition, the negative coefficient of debt ratio difference implies that an
increase in leverage is associated with a decline in profitability even though using
operating profit before interest as a measure of profitability.
Deloof (2003) investigated the relationship between working capital
management and corporate profitability for a sample of 1,009 large Belgian non-
financial firms for the 1992-1996 periods. The result from analysis showed that there
was a negative relationship between profitability that was measured by gross operating
income and cash conversion cycle as well number of days accounts receivable and
inventories. He suggested that managers can increase corporate profitability by reducing
the number of days accounts receivable and inventories. Less profitable firms waited
longer to pay their bills.
Padachi (2006) had made an attempt to examine the trends in working capital
management and its impact on firms’ performance. This study is based on a sample of
58 Mauritian small manufacturing companies. The data has been collected from the
financial statements of the sample firms having a legal entity and have filed their annual
return to the Registrar of Companies. The primary purpose of this research is to
investigate the impact of working capital management on corporate profitability of
Mauritian small manufacturing firms. The paper used return on total assets in order to
measure firm’s profitability as a dependent variable. The reason for choosing this
variable is the small and medium – size enterprises is characterized by a low fixed assets
13
base and relied to a large extent on accounts payable to fund its gross working capital.
Therefore, a comprehensive measure of profitability is best captured by computing the
return on total assets. Some firms have significant fixed financial assets and were thus
excluded from the calculation of return on total assets. Number of days accounts
receivable, number of days accounts payable, number of days inventories and cash
conversion cycle are used as independent variables. The control variable in the
regression model consist of total debt to total asset, natural logarithm of sales, current
assets to total assets, current liabilities to total assets and sales to current assets. Result
from analysis shows that there is a negative relationship between profitability and
number of days accounts receivable as well number of days accounts payable. In
addition, there is also a negative relationship between cash conversion cycle and
profitability. This means that mangers can increase profitability by shortening their
working capital cycle.
Garcia-Teruel and Martínez – Solano (2007) had implemented an empirical
research to provide evidence about the effects of working capital management on the
profitability of a sample of small and medium-sized (SEM) Spanish firms. The sample
for this study is 8,872 SMEs covering the period 1996-2002. The objective of this
research is to provide evidence about the effects of working capital management on
profitability. Return of assets was used to measure profitability of firms as a dependent
variable. The component of working capital management as number of days accounts
receivable, number of days inventories, number of days accounts payable were used as
independent variables. In order to analyze the effect of working capital management on
profitability of firms, they used correlation and regression analysis. From result of
analysis, they indicated out that the negative relation between profitability and the
number of days accounts receivable and number of days inventories could be explained
if less profitable firms incentivize their customers by granting them long payment
deadlines, or if firms with falling sales and consequently declining profits found their
stock levels rising. Likewise, the negative relation found between profitability and
number of days accounts payable could be a consequence of firms with more problems,
and hence lower profits, delaying their payments. However, they could not confirm that
the number of days accounts payable affected an SEM’s return on assets, as this relation
did not have significance when they controlled for possible endogeneity problems.
Moreover, the study also showed that the relationship between profitability and cash
14
conversion cycle was a negative relationship. Therefore, they suggested that managers
could create value by reducing their cash conversion cycle to a minimum, as far as that
was reasonable.
Working capital management is a very important component of corporate
finance because it directly affects the liquidity and profitability of the company. With
target of contributing towards a very important aspect of financial management known
as working capital management, Raheman and Nasr (2007) have implemented an
empirical research to investigate the relationship between working capital management
and profitability of Pakistani firms. They utilized the secondary data collected from
financial statement of listed firms in Karachi Stock Exchange (KSE) for a period 6 years
from 1999-2004. Net operating profitability was used as a variable while average
collection period, inventory turnover in days, average payment period and cash
conversion cycle were used as independent variables. Current ratio, natural logarithm of
sales, debt ratio and ratio of financial assets to total assets were used as control
variables. They used correlation model in order to measure the degree of association
between different variables under consideration. Regression analysis consisted of two
parts with pooled ordinary least squares and generalized least squares (cross section
weights) used to estimate the causal relationships between profitability variable,
liquidity and other chosen variables. From result of research, they found a significant
negative relationship between net operating profitability and the average collection
period, inventory turnover in days, average payment period and cash conversion cycle.
They suggested that managers can create value for their shareholders by reducing the
number of days accounts receivable and inventories to a reasonable minimum.
Kaushik (2008) had made an empirical study to examine the influence of
working capital on the profitability and evaluate the relationship between working
capital and profitability. The sample chosen for this research was 25 companies in the
India pharmaceutical industry during the period 1996-97 to 2007-08. Many statistical
tools and techniques had been used for analyzing these data. The ratios relating to
working capital management which had been used in this study are: current ratio,
inventory turnover ratio and debtor’s turnover ratio. The profitability measures that had
been selected for this study were: profit before interest and tax margin; and return on
capital employed. The degree of relationship between working capital management and
profitability had been assessed through correlation coefficients between the selected
15
measures of working capital management and profitability taking into account their
magnitudes (i.e., by Pearson’s simple correlation coefficient), ranking of their
magnitudes (i.e. by Spearman’s rank correlation coefficient), and the nature of their
associated changes (i.e. by Kendall’s correlation coefficient). Multiple correlation and
multiple regression techniques had been applied in order to recognize influence of the
selected measures relating to indicators of working capital management on the
profitability. In order to examine whether the computed values of correlation
coefficients and partial regression coefficients were statistically significant or not, t-test
had been used. The multiple correlation coefficients had been tested by F-test. The
findings of research show that liquidity management, inventory management and credit
management had positive contribution towards improvement of the corporate
profitability.
Singh and Pandey (2008) made an attempt to investigate the working capital
components and the impact of working capital management on profitability of Hindalco
industries limited. The research was based on secondary data collection from annual
reports of Hindalco for the study period 1990 to 2007. The ratio analysis, percentage
method and coefficient of correlation had been used to analyze the data. The research
also used the regression analysis in order to examine influence of working capital
management to profitability. The findings from this study show that the contribution of
long term source in working capital was below 30% in all the study period. It had also
been found that during the study period, except 1994, 1998, 2001, 2004 and 2007, the
working capital of Hindalco had registered an increasing trend. In the regression model,
they used current ratio, working capital ratio, inventory turnover ratio, receivables
turnover ratio and working capital to total assets as independent variables. While the
profit before tax to total assets ratios was used as a dependent variable. The regression
results of the research indicated that current ratio, liquid ratio, receivables turnover ratio
and working capital to total assets ratio had statistically significant impact on the
profitability of Hindalco industries limited.
Current assets are important components of total assets and need to be carefully
managed. Smith (1980) claimed that the working capital management played an
important role in a firm’s profitability and risk as well as its value. Efficient
management of working capital is very essential in the overall corporate strategy in
creating shareholder value. Deloof (2003) indicated that firms try to maintain an
16
optimum level of working capital that maximizes that value. The optimum level of
working capital is examined, to a large extent, by the methods adopted by the
management. The managers need to maintain optimum level of various component of
working capital, such as cash, receivables, inventory and payables. Nazir and Afza
(2009) had implemented an empirical research to examine the factors that determine the
working capital requirement of the firms. A sample of 132 manufacturing firms from 14
industrial groups that were listed on Karachi Stock Exchange between the periods 2004-
2007 were taken. In this study, the working capital requirement is used as a dependent
variable while various financial and economical factors, such as operating cycle of the
firm, level of economic activity, leverage, growth of the firm, operating cash flows, firm
size, industry, return on assets and Tobin’s q were used as the determining factors of
working capital management. The findings of research show that working capital
requirement, as a dependent variable, was influenced by various economic and financial
variables related to firm. Industry effect was found significantly influencing the working
capital management practices of non-financial firms operating in different sectors. This
research indicated that there was a positive relationship between operating cycle, was
used to measure the working capital management efficiency of firms, and working
capital requirement. This means that the higher the days of operating cycle, the more
working capital would be required by the firm as operative necessity. Tobin’s q is
positively affecting the requirements of working capital of the firms, indicating that
efficient management of working capital was associated with the stock market
performance of the Karachi Stock Exchange. Moreover, the findings also showed that
leverage of firm, was measured by debt to total assets ratio, was strongly and negatively
related to the working capital requirement of a firm, indicating that companies with an
increasing debt to total assets ratio showed lower working capital requirements. Level of
economic activity was not found to have any significant effect on working capital
management practices of firms in Pakistan. This was consistent with research of
Lamberson (1995) who proved that the response of the firms to change their working
capital requirements with changes in economic conditions was not significant. Lastly,
the research indicated that there was not statistically significant relationship between the
working capital requirement and size of the firm and sales growth.
Corporate finance basically deals with three decisions: capital structure
decisions, capital budgeting decisions, and working capital management decisions.
17
Among these, working capital management is a very important component of corporate
finance since it affects the profitability and liquidity of a firm (Appuhami, 2008). It
regards to current assets and current liabilities. There are many reasons for importance
of working capital management that are taken care by financial managers. For one thing,
a typical manufacturing firm’s current assets account for over half of its total assets. For
a distribution firm, they account for even more. The maintenance of excessive levels of
currents can easily result in a substandard return on a firm’s investment. However,
according to Van Horne and Wachowicz (2004) firm with inadequate levels of current
assets may incur shortages and have difficulties in smoothly maintaining day to day
operating. Basically, the necessary components of an organization’s working capital
depend on the type of business and industry. Cash, debtors, receivables, inventory,
marketable securities, and redeemable futures can be recognized as the component of
organization’s working capital. However, the question is to recognize the factors that
determine the adequacy of working capital based on growth, size, operating cash flow,
etc. The inability to understand the determining factors and measurement of adequate
amounts of working capital will lead an organization to bankruptcy. Departing from
these reasons, Appuhami (2008) had made an attempt to investigate the impact of firm’s
capital expenditure on their working capital management. The research was based on
financial data; the main source of data was financial statements, such as income
statements, balance sheets, and cash flow statements of listed companies in the stock
exchange in Thailand for the period from 2000 to 2005. Working capital requirement
and net liquidity balance were utilized as dependent variables. Capital expenditure,
operating expenditure and financial expenditure were used as independent variables.
Control variables were utilized in the model including: firm’s operating cash flow,
growth of the firm, leverage that measured by total long-term debt capital and divided
by equity. The findings of research showed that firm’s capital expenditure had a
significant impact on working capital management. In addition, the research also found
that the firm’s operating cash flow, which was recognized as a control variable, had a
significant relationship with working capital management.
Working capital management relates to the source and application of short-term
capital. When working capital is improperly managed, allocating more than enough of it
will render management non-efficient and reduce the benefits of short-term investment.
On the other hand, if working capital is too low, the firm may miss profitable
18
investment opportunities or suffer short-term liquidity crises, leading to degradation of
firm credit, as it cannot respond effectively to temporary capital requirements. Narender
et al., (2008) made a research to investigate the determinants of working capital
management cement industry in India for a period of 10 years. The research used net
liquid balance and working capital requirement to assess working capital management,
analyzing the influence of firm characteristics, external business factors and industry
effect. The findings of research indicated that size of the firm affected the company’s
working capital management both in the case of net liquid balance and working capital
ratio. In the case of working capital ratio, the research found that growth of the firm,
operating cash flow, and industry trends in terms of business significantly influence the
liquidity management in case of cement industry in India.
Efficiency in working capital management is so vital for especially production-
firms whose assets are mostly composed of current assets, as it directly affects liquidity
and profitability of any firm (Raheman and Nasr, 2007). According to Kargar and
Bluementhal (1994) bankruptcy may also be likely for firms that put inaccurate working
capital management procedures into practice, even though their profitability is
constantly positive. Thus, it must be avoided to regress from optimal working capital
level by bringing the aim of profit maximization in the foreground, or just in direct
contradiction, to focus only on liquidity and consequently pass over profitability. While
excessive levels of working capital can easily result in a substandard return on assets,
inconsiderable amount of it may incur shortages and difficulties in maintaining day to
day operations. Samiloglu and Demirgunes (2008) made an empirical research to
analyze the effect of working capital management on firm profitability. The sample for
analysis is listed manufacturing firms in Istanbul Stock Exchange (ISE) for the period of
1998-2007. The research used return on assets as a dependent variable. While accounts
receivable, inventory period, cash conversion cycle were used as independent variables.
Firm size, firm growth, leverage and fixed financial assets were used as control
variables. Result from research shows that, for the mentioned sample and period,
accounts receivables period, inventory period and leverage significantly and negatively
affect profitability of Turkish manufacturing firms, while firm growth significantly and
positively. However, the research also indicated that cash conversion cycle, size, and
fixed financial assets have no statistically significant effect on firm profitability. The
research suggested that firm profitability can be increased by shortening accounts
19
receivables and inventory periods. In addition, leverage is another variable affecting
firm profitability negatively. The only variable in the regression model that has
significantly positive effect on profitability is firm growth.
Moss and Stine (1993) stressed that a useful way of assessing the liquidity of
firms is with the cash conversion cycle. It measures the time lag between cash payments
for purchase of inventories and collection of receivables from customers. Traditional
measures of liquidity such as the current ratio and quick ratio are useful liquidity
indicators of firms; they focus on static balance sheet values. The cash conversion cycle
is a dynamic measure of ongoing liquidity management, since it combines both balance
sheet and income statement data to create a measure with a time dimension (Jose et al.,
1996). Uyar (2009) had made an empirical research about the relationship of cash
conversion cycle with firm size and profitability for corporations listed on the Istanbul
Stock Exchange. The findings of research show that there is a significant negative
correlation between the length of cash conversion cycle and the firm size, in terms of
both net sales and total assets. Hence, the research concluded that smaller firms have
longer cash conversion cycle. This finding is parallel to the finding of the study
conducted by Moss and Stine (1993). Since longer cash conversion cycles are associated
with smaller firms, this offers a strong incentive for these firms to better manage their
cash conversion cycle (Moss and Stine 1993). Moreover, finding of the study also
shows that there is a significant negative correlation between the length of cash
conversion cycle and profitability. The reason for this problem is keeping inventory for
a long time, being slow in collecting receivables, and paying debts quickly.
Current assets are considered as one of the important components of total assets
of a firm. A firm may be able to reduce the investment in fixed assets by renting or
leasing plant and machinery, whereas the same policy cannot be followed for the
components of working capital. The high level of current assets may cut down the risk
of liquidity associated with the opportunity cost of funds that may have been invested in
long-term assets. Although, the impact of working capital policies on profitability is
highly important, only a few empirical studies have been carried out to examine this
relationship. Departing from this reason, Afza and Nazir (2009) made an attempt in
order to investigate the potential relationship of aggressive policies with the accounting
and market measures of profitability of Pakistani firms. They used a sample of 204
Pakistani firms divided into 16 industrial groups by Karachi Stock Exchange for the
20
period 1998-2005. The impact of aggressive working capital investment and the
financing policies had been examined using panel data regression models between
working capital policies and profitability. The findings of research indicated that there
was a negative relationship between the profitability that measures of firms and degree
of aggressiveness of working capital investment and financing policies. From those
findings, they suggested that managers can create value if they adopted a conservative
approach towards working capital investment and working capital financing policies. In
addition, the paper also found that investors gave weight to the stocks of those firms that
adopted an aggressive approach to managing their short-term liabilities.
21
CHAPTER THREE RESEARCH METHODOLOGY
3.1 Research design Zikmund (1997) stressed that descriptive research seeks to determine the answers
to who, what, when, where and how questions. The essential difference between
descriptive and causal studies lies in their objectives (Emory, 1985). If the research is
concerned with finding out who, what, where, when, or how much, then the study is
descriptive. If it is concerned with learning why, that is, how one variable affects
another, it is causal (Nguyen, 2001). Major research question of this thesis is trying to
answer for how are the relationships between working capital management and
profitability of listed companies on Vietnam Stock Exchange (VSE).
This thesis is seeking to explain how working capital management affects
profitability. Therefore, this thesis is concerned with learning “why”, that is, how
“working capital management” variables affect the “profitability variable”. This concern
required a causal design to identify the cause-and-effect relationships between working
capital management and profitability of listed companies. Thus, causal research is
adequate in order to implement in this thesis.
3.2 Research method Based on the methods of data collection, Emory (1985) classified research into
two types: observation and surveys. However, Zikmund (1997) expands this
classification into four basic types: surveys, experiments, and observation and
secondary data studies.
• Survey is a research technique in which information is gathered from a
sample of people by use of a questionnaire (Zikmund, 1997).
• Experiment holds the greatest potential for establishing cause-and-effect
relationships. The use of experimentation allows investigation of changes
in one variable while manipulating other variables under controlled
conditions (Zikmund, 1997).
• Observation allows the researcher to monitor and record information
about subjects without questioning them (Emory, 1985).
22
• Secondary data are data gathered and recorded by someone else prior to
the current needs of the researcher (Zikmund, 1997). Secondary data can
be used for such things as forecasting sales by constructing models based
on past sales figures and through extrapolation. The advantage of
secondary data is the savings in time and costs of acquiring information
that are generated (Cavana et al., 2001). However, secondary data as the
sole source of information have the drawbacks of becoming obsolete and
not meeting the specific needs of the particular or setting.
In terms of research technique, this thesis uses secondary data because the main
purpose of this thesis is to investigate the relationship between working capital
management and profitability. Thus, this research uses the audited financial statement of
listed companies on Vietnam Stock Exchange (VSE) to investigate this relationship.
3.3 Variable definitions and model development
3.3.1 Variable measurement
Variables had to be defined and measured clearly before developing the
hypotheses to test these associations. Pedhazur and Schmelkin (1991) defined a variable
as any attribute or property in which organisms vary. Dependent and independent
variables are two kinds of variables involve in developing a causal model and testing the
hypotheses of association. The dependent variable is the variable of primary interest to
the researcher. The research’s goal is to understand and describe the dependent variable,
or to explain its variability or predict it (Cavana et al., 2001). An independent variable is
one that influences the dependent variable in either positive or negative (Cavana et al.,
2001)
Following is a more detail consideration of the dependent and independent
variables, which are defined and utilized in this thesis.
3.3.1.1 Dependent variable
This thesis examines the impact of working capital management on profitability.
Generally, profitability is viewed as a dependent variable. However, profitability is an
abstract concept and a latent variable, it cannot be measured directly (Nguyen, 2001) In
order to overcome this obstacle, researchers often use indicated variables to indirectly
measure profitability. Nguyen (2001) had reviewed variables that the previous
23
researchers used to measure profitability, such as Burns (1985) measured profitability
using three indicated variables: return on total assets, return on net assets and return on
equity. Hutchinson et al., (2006) used two indicated variables: return on sales and return
on equity to measure profitability, while Cohen (2005) suggested four variables: asset
earning power, return on equity, net profit on sales and return on investment. Generally,
depending upon their own purpose, researchers in the literature review used different
indicated variables to measure profitability. However, Nguyen (2001) concluded that
there were three variables: return on sales (ROS), return on assets (ROA) and return on
equity (ROE) were the most popularly used by the researchers and authors such as Ross
et al. (2005), Burns (1985) to measure profitability.
The empirical research about the relationship between working capital
management and profitability, the previous researches used the following variables to
measure profitability.
• Raheman and Nasr (2007) used net operating profitability (NOP) to measure
profitability of firm. It is defined as operating income plus depreciation, and
divided by total assets minus financial assets.
• Samiloglu and Demirgunes (2008) used return on assets (ROA) to measure
profitability when investigating the effect of working capital management on
firm profitability.
• Singh and Pandey (2008) used the profit before tax to total assets ratios to
measure profitability when investigating impact of working capital management
on the profitability of Hindalco industries limited.
• Deloof (2003) used gross operating income, which is defined as sales minus
cash of goods sold, and divided by total assets minus financial assets, in order to
measure profitability when examining the effect of working capital management
on profitability of Belgian firms.
• Lazaridis and Tryfonidis (2006) used gross operating profit to measure
profitability. It is calculated by subtracting cost of goods sold from total sales
and divided the result with total assets minus financial assets.
This thesis uses gross operating profit as a dependent variable. The reason for
using this variable instead of earnings before interest tax depreciation amortization or
profits before or after taxes is because this research wants to associate operating
‘success’ or ‘failure’ with an operating ratio and relate this variable with other operating
24
variables (i.e. cash conversion cycle). Moreover, the research wants to exclude the
participation of any financial activity from operational activity that might affect overall
profitability. Thus, financial assets are subtracted from total assets. This is consistent
with the research of Deloof (2003) and Lazaridis and Tryfonidis (2006).
3.3.1.2 Independent variable
The research investigates the relationship between working capital management
and profitability, therefore the components of working capital management is used as
independent variables. The independent variables used in this research are consistent
with the research of Deloof (2003) and Lazaridis and Tryfonidis (2006).
• Number of days accounts receivable
Number of days accounts receivable represents the average number of days that
the firm takes to collect payments from its customers. The higher the value, the
higher its investment in accounts receivable (Garcia-Teruel and Martínez - Solano,
2007).
• Number of days accounts payable
Number of days accounts payable reflects the average time it takes firms to pay
their suppliers. The higher the value, the longer firms take to settle their payment
commitments to their suppliers (.Garcia-Teruel and Martínez - Solano, 2007).
Sales - Cost of goods sold
Total assets – Financial assets
Gross operating profitability =
Number of days account
payable =
Average accounts payable
Cost of goods sold
x 365
Average account receivable
Sales
x 365 Number of days account
receivable =
25
• Number of days inventories
This variable reflects the average number of days of stock held by the firm.
Longer storage times represent a greater investment in inventory for a particular level of
operations (Garcia-Teruel and Martínez - Solano, 2007)
• Cash conversion cycle
The cash conversion cycle measures the time between cash outlays for resources
and cash receipts from product sales. The cash conversion cycle is dynamic in the sense
that it combines both balance sheet and income statement data to create a measure with
a time dimension (Jose et al., 1996). The cash conversion cycle, called cash gap, is the
sum of days of sales outstanding (average collection period) and days of sales in
inventory less days of payables outstanding (Keown et al, 2003).
Figure 3.1 The cash conversion cycle
Number of days
inventories =
Average inventory
Cost of goods sold x 365
The cash conversion cycle Inventory
purchase Inventory
sold
Time
Number of days
inventories Number of days accounts
recevable
Cash conversion cycle Number of days
accounts
payable Cash receive
Operating cycle
26
Cash conversion cycle is likely to be negative as well as positive. A positive
result indicates the number of days a company must borrow or tie up capital while
awaiting payment from a customer. A negative result indicates the number of days a
company has received cash from sales before it must pay its suppliers (Hutchinson et
al., 2007)
3.3.1.3 Control variable
The research investigates the relationship between working capital management
and profitability. So, the main purpose of this research is to examine how working
capital management affects profitability. The research will investigate the effect of
partly of working capital management on profitability in condition the other variables is
constant. The following control variables are used in this research:
• The natural logarithm of sale: that is used to measured size of firm ( used by
Deloof, 2003 and Lazaridis and Tryfonidis, 2006).
• Debt ratio: that is used as proxy for leverage, calculated by dividing total debt by
total assets (used by Deloof , 2003 and Lazaridis and Tryfonidis,2006).
• Ratio of financial assets to total assets: that is calculated by financial assets
dividing by total assets (used by Deloof, 2003 and Lazaridis and Tryfonidis,
2006).
3.3.2 Hypotheses
A hypothesis is a proposition that is empirically testable. It is an empirical
statement concerned with the relationship among variables (Zikmund, 1997). This thesis
makes a set of testable hypotheses that based on previous researches about this
relationship between working capital management and profitability.
Hypothesis 1:
There is a negative relationship between number of days accounts receivable and
profitability that is measured by gross operating profit.
Cash conversion
cycle =
Number of days
accounts
receivable
+ Number of
days
inventories
- Number of
days
accounts
27
Deloof (2003) indicated that there was a negative relationship between number
of days accounts receivable and profitability when investigating this relationship
between working capital management and profitability of 1,637 firms for period 1991-
1996. Similarly, Lazaridis and Tryfonidis (2006) and Raheman and Nasr (2007) also
showed that the relationship between number of days accounts receivable and
profitability was negative.
Hypothesis 2:
There is a positive relationship between number of days accounts payable and
profitability.
Deloof (2003) and Raheman and Nasr (2007) indicated that there was a negative
relationship between number of days accounts payable and profitability. However,
Lazaridis and Tryfonidis (2006) showed that there was a positive relationship between
them.
Hypothesis 3:
There is a negative relationship between number of days inventories and
profitability.
Deloof (2003), Raheman and Nasr (2007) and Lazaridis and Tryfonidis (2006)
indicated that there was a negative relationship between number of days inventories and
profitability.
Hypothesis 4:
There is a negative relationship between cash conversion cycle and profitability.
Traditional approach to interaction between cash conversion cycle and
profitability posits that relatively long cash conversion periods tend to decrease
profitability. Deloof (2003), Raheman and Nasr (2007) and Lazaridis and Tryfonidis
(2006) indicated that there was a negative relationship between cash conversion cycle
and profitability.
Hypothesis 5:
There may exist a positive relationship between debt ratio and profitability.
Deloof(2003), Raheman and Nasr (2007) and Lazaridis and Tryfonidis (2006) indicated
that there was a negative relationship between debt ratio and profitability.
Hypothesis 6:
There may exist a positive relationship between size of firms and profitability.
28
Deloof (2003), Rahemanand Nasr (2007) and Lazaridis and Tryfonidis (2006)
indicated that there was a positive relationship between natural logarithm of sales, used
to measure size of firm, and profitability.
Hypothesis 7: There may exist negative relationship between ratio of financial assets to
total assets and profitability.
Deloof (2003) and Raheman and Nasr (2007) indicated that there was a negative
relationship between financial assets to total assets ratio and profitability. However,
Lazaridis and Tryfonidis (2006) showed that there was a positive relationship between
them.
3.3.3 Model development
3.3.3.1 Model classification
Davis (2000) defined a model as any highly formalized representation of a
theoretical system, usually designated through the use of symbols. He emphasized the
importance of models to decision-makers as follows: models are extremely importance
to decisions-makers because they form the basis for the development of decision
support system.
There are a lot of ways in order to categorize models. According to Davis
(2000), all useful classification schemes have three elements in common: level of
aggregation, time dimension, and degree of uncertainty in the process being modeled.
Based on the basic forms of decision models, Davis (2000) classified models
into two types: verbal and mathematical models. Each can be used to transform a
complex real-world process into a more manageable representation of that process. The
verbal model has broad appeal in that it is more easily understood by decision makers
but it is quite difficult to implement, since many implied variables and relationships that
affect the objective are omitted (Davis, 2000).
The generalized mathematical model form can symbolically be represented as
follows:
OI = f (Ai, B j) where
OI = outcome information or objective from the model to be used by the decision maker
or the dependent variable
Ai= Controllable independent variables in the process being modeled
29
Bj = uncontrollable independent variables influencing the process being modeled, or the
environment variables
f= functional relationship between the outcome information variable (the dependent
variable) and the independent variables Ai and Bj (Davis, 2000).
3.3.3.2 Model development for this research
Based on the generalized mathematical model form as indicated by Davis (2000)
and the variables defined in subsection 3.2.1, the model of the relationship between
working capital management and profitability is developed as follows:
Where:
GROSSPR it : Gross operating profitability of firm i at time t; i= 1, 2, 3……, 130 firms
β 0: The intercept of equation
β i: Coefficients of Xit variables
Xit: The different independent variables for working capital management of firm i at
time t
t: Time = 1,2,3 years
ε: The error term
Specifically, when converting the above general least squares model into our specified
variables it becomes:
GROSSPRit = β 0 + β1 (WCMit)+ β2(DRit) + β3(LOSit) + β4(FATAit) + ε
Where
WCM: Working capital management, it consists of :
- Number of days accounts receivable (AR)
- Number of days accounts payable (AP)
- Number of days inventories (INV)
- Cash conversion cycle (CCC)
GROSSPRit it = β 0 + + ε βiXit
30
Figure 3.2: Analytical model
LOS: Logarithm of sales
FATA: Financial assets to total assets ratio
3.4 Data collection methods This thesis investigates the relationship between working capital management
and profitability in Vietnam Stock Exchange (VSE), so data used for this thesis is
secondary data. According to Zikmund (1997), secondary data is defined as data
gathered and recorded by someone else prior to the current needs of the researchers.
Secondary data are usually historical, already assembled, and do not require access to
respondents or subjects. This method has been popularly used by previous researchers
in examining the relationship between working capital management and profitability of
firms.
Efficient of working capital
management
‐ Number of days accounts
receivable
‐ Number of days accounts
payable
‐ Number of days inventories
‐ Cash conversion cycle
Profitability of
firms
Debt ratio
Ratio of financial
assets to total assets
ratio
Logarithm of sales
Analytical model for the study
31
The data is collected from audited financial statement of listed companies. In
Vietnam, these financial statements can be obtained from following organizations:
• HOCHIMINH STOCK EXCHANGE ( www.hsx.vn)
• HANOI STOCK EXCHANGE ( www.hnx.vn)
• STATE SECURITIES COMMISSION OF VIETNAM (www.ssc.gov.vn)
The reason the research choose this market because there have not been any
research about this relationship in Vietnam Stock Exchange (VSE). For the purpose of
research, firms in financial sector, banking and finance, insurance, leasing, business
service, renting, and other service are excluded from the sample. The most recent period
for this investigating is 2006-2008. Some of the firms are not included in the sample due
to lack information for the certain period. The sample is based on audited financial
statements of 130 firms that listed in VSE. With 130 firms for period of 2006-2008, it
has 390 observations totally.
3.5 Data transformation This section examines aspects of data transformation including purpose and
methods of data transformation. Zikmund (1997) defined data transformation as the
process of changing data’s original form to a format that is more suitable to perform a
data analysis that will achieve research objectives. Hence, the purpose of data
transformation is to create a more suitable format for data analysis.
This research uses ratios such as: gross operating profitability as a dependent
variable; number of days accounts receivable, number of days accounts payable, number
of days inventories as independent variables and debt ratio, natural logarithm of sales,
ratio of financial assets to total assets as control variables. The ratios are not available in
audited financial statement of listed companies. Hence, the process of deriving these
ratios required a transformation of raw data into more suitable data for analysis.
Computer package (Excel) will help this data transformation easily and quickly.
32
3.6 Data analysis methods
3.6.1 Descriptive statistics
Descriptive analysis refers to the transformation of the raw data into a form that
will make them easy to understand and interpret. Describing responses or observations
is typically the first form of analysis (Zikmund, 1997).
In this thesis, descriptive statistic is used to calculate averages, frequency
distribution, and percentage distribution used as a form of summarizing data. It is used
to describe characteristics of variables in the sample.
3.6.2 Correlation analysis
This thesis investigates the relationship between working capital management
and profitability of firms. Therefore, Pearson’s correlation analysis is used to see the
relationship between profitability, used as independent variable, and the component of
working capital management used as independent variables. If efficient working capital
management increases profitability, one should expect a negative relationship between
the measures of working capital management and profitability variable. The results of
correlation coefficients are presented by standard form of reporting correlation results –
correlation matrix.
3.6.3 Multiple Regression analysis
Multiple regression analysis is an analysis of association that simultaneously
investigates the effect of two or more independent variables on a single, interval-scaled
or ratio-scaled dependent variable (Zikmund, 1997).
Departing from shortcoming of Pearson’s correlation is that they do not allow
identifying causes from consequences. While, the main objective of this research is to
investigates the simultaneous effect of several independent variables (AR, AP, INV,
CCC…) on a dependent variable (GROSSPR). Multiple regressions are appropriate to
be selected in this study.
33
CHAPTER FOUR RESEARCH RESULTS
4.1 Descriptive statistics Descriptive analysis shows the average and standard deviation of the different
variables in the study. It also presents the minimum and maximum values of the
variables which help in getting a total picture about maximum and minimum values a
variable can get.
Table 4.1 Descriptive Statistics
n Minimum Maximum Mean Std. Deviation AR 390 1.92 313.36 51.91 43.62AP 390 .04 313.91 45.40 43.29INV 390 .77 315.21 89.46 64.51CCC 389 -121.70 410.65 96.21 81.75LOS 390 23.22 30.67 26.61 1.345DR 390 .04 .92 .44 .22FATA 390 .00 .84 .12 .15GROSSPR 390 -.43 3.86 .35 .41
130 Vietnam non- financial firms, 2006-2008
• Number of days accounts receivable (AR)= Average of accounts receivable /
Sales* 365 • Number of days accounts payable (AP)= Average of accounts payable / Cost of
goods sold *365 • Number of days inventory (INV) = Average of inventory / Cost of goods sold *
365 • Cash conversion cycle (CCC) = AR+ INV- AP • Natural logarithm of sales (LOS) = ln(sale) • Debt ratio (DR)= Total debt/ Total assets • Ratio of financial assets to total assets (FATA) = Financial assets/ Total assets • Gross operating profitability (GROSSPR) = ( Sales – Cost of goods sold)/ (Total
assets – Financial assets)
Table 1 gives descriptive statistics for 130 Vietnam non-financial firms for a
period of three years from 2006 to 2008 and for a total 390 firm -year observations.
Looking at this table, we can see that the average value of gross operating profitability
34
is 35.2% of total assets, and standard deviation is 40.7%. This figure means that the
value of profitability can deviate from mean to both sides by 40.7%. The maximum and
minimum values of gross operating profitability are 3.86 and -0.43, respectively.
Information from descriptive statistics also indicates that the mean of cash conversion
cycle that used as a proxy to measure the efficiency of working capital management is
96 days and standard deviation is 82 days. The average of number of days accounts
receivable is 52 days with standard deviation 44 days. Minimum time taken by a
company in order to collect cash from customers is nearly 2 days while the maximum
time for this goal is 313 days. The average time of paying to suppliers is 45 days and the
standard deviation is 43 days. Maximum time taken for firm to pay for their suppliers is
314 days while minimum time taken for this purpose is nearly 1day. Moreover, it takes
an average 89 days in order to sell inventory with standard deviation of 65 days.
Maximum time taken by a firm is 315 days, while minimum time to convert inventory
into sales is 1 day.
Natural logarithm of sales that measure the size of the firm is used as a control
variable. Figure from Table 1 indicates that the mean of logarithm of sales is 26.61 and
standard deviation is 1.35. The maximum value of logarithm of sales for a firm in a year
is 30.67 while the minimum value is 23.22.
Debt ratio is used as a proxy for leverage to check the relationship between debt
financing and the profitability. It is also used as a control variable. The result of
descriptive statistics indicates that the average of debt ratio is 44% with standard
deviation of 22%. The maximum debt ratio financing used by a firm is 92% which is
unusual because of debt nearly asset. However, it is also possible if the equity of the
firm is nearly zero. While the minimum of debt ratio is 4%, this means that there is a
company that uses a little debt in its operation.
Lastly, the ratio of financial assets to total assets is used to check the relationship
between the ratio of financial assets to the total assets of Vietnam firms and
profitability. It is also utilized as a control variable. The mean value for this ratio is 12%
with a standard deviation of 15%. The maximum value of financial assets to total assets
is 84% and the minimum value for this purpose is nearly 0%.
35
4.2 Correlation analysis Correlation analysis is used to identify the association between profitability as a
dependent variable and other related variables. In this case, the thesis investigate the
relationship between profitability of firm that is measured by gross operating
profitability and component of working capital management as: number of days
accounts receivable, number of days accounts payable, number of days inventories, cash
conversion cycle as well other control variables.
Table 4.2 Correlation matrix
AR AP INV CCC LOS DR FATA GROSSPR
AR
Sig.(2-tailed)
N
1.000 .408** .285** .549** -.279** -.035 -.043 -.223**
.000 .000 .000 .000 .487 .399 .000
390 390 390 390 390 390 390 390
AP
Sig.(2-tailed)
N
.408** 1.000 .235** -.116* -.138** .157** -.079 .195**
.000 .000 .022 .006 .002 .118 .000
390 390 390 390 390 390 390 390
INV
Sig.(2-tailed)
N
.285** .235** 1.000 .819** -.198** .043 -.119* -.202**
.000 .000 .000 .000 .401 .019 .000
390 390 390 390 390 390 390 390
CCC
Sig.(2-tailed)
N
.549** -.116* .819** 1.000 -.236** -.065 -.077 -.383**
.000 .022 .000 .000 .200 .129 .000
389 389 389 390 389 389 389 389
LOS
Sig.(2-tailed)
N
-.279** -.138** -.198** -.236** 1.000 -.040 -.016 .172**
.000 .006 .000 .000 .435 .746 .001
390 390 390 390 390 390 390 390
DR
Sig.(2-tailed)
N
-.035 .157** .043 -.065 -.040 1.000 -.271** .231**
.487 .002 .401 .200 .435 .000 .000
390 390 390 390 390 390 390 390
FATA
Sig.(2-tailed)
-.043 -.079 -.119* -.077 -.016 -.271** 1.000 .075
.399 .118 .019 .129 .746 .000 .140
36
N 390 390 390 390 390 390 390 390
GROSSPR
Sig.(2-tailed)
N
-.223** .195** -.202** -.383** .172** .231** .075 1.000
.000 .000 .000 .000 .001 .000 .140
390 390 390 390 390 390 390 390
** Correlation is significant at the 0.01level (2-tailed) *Correlation is significant at the 0.05 level (2-tailed) The first, we have started our analysis of correlation results between the number
of days accounts receivable (AR) and gross operating profitability. The result of
correlation analysis shows a negative coefficient – 0.223, with p value of 0.000. It
shows that there is a high significant at α = 1%. This means that if number of days
accounts receivable increase, it will make operating profitability decrease. Correlation
result between number of days inventories (INV) and the gross operating profitability
also indicate the same type of result. The correlation coefficient is – 0.202 and p value is
0.000. It also shows a high significant at α = 1%. It explains for reason why when the
firm takes more time in selling inventory, it will adversely affect its profitability. On the
other hand, correlation result between number of days accounts payable (AP) and gross
operating profitability is a positive. The correlation coefficient is 0.195 and p value is
0.000. It shows highly significant at α = 1%. This means that the more profitable firms
wait longer to pay their bills. The cash conversion cycle that is used as a comprehensive
measure of working capital management also has a negative correlation with gross
operating profitability with coefficient -0.383 and p value is 0.000. It also shows highly
significant at α = 1%. This demonstrates that paying suppliers longer and collecting
payments from customers earlier, and keeping products in stock less time, are all
associated with an increase in the firm’s profitability.
Result from analysis also shows a positive relationship between natural
logarithm of sales, used to measure the size of firm, and the gross operating
profitability. Its coefficient correlation is 0.172 with p value 0.001. It shows highly
significant at α = 1%. This shows that as size of the firm increases, it will increase its
profitability and vice versa.
To sum, result from analyzing of correlation indicates that there is a negative
relationship between cash conversion cycle, number of days accounts receivable,
number of days inventories with the profitability of firms are consistent with the
research of Deloof (2003) and Raheman and Nasr (2007). However, in their study, he
37
indicated a negative relationship between number of days accounts payable and
profitability. Contrast, this thesis shows a positive relationship between number of days
accounts payable and profitability. This analysis suits with the results of Lazaridis and
Tryfonidis (2006)
4.3 Multiple regression analysis A shortcoming of Pearson’s correlations is that they do not allow identifying
causes from consequences. Therefore, regression analysis is used to investigate the
impact of working capital management on corporate profitability. The determinants of
corporate profitability are estimated with pooled ordinary least squares (OLS). This
method was used by Shin and Soenon (1998), Raheman and Nasr (2007). In panel data
(pooled) OLS regression, time series and cross sectional observations are combined and
examined. In other words, several cross-sectional units are observed over a period of
time in a panel data setting.
Model 1
GROSSPRit = β0 + β1 (ARit) + β2 (DRit) + β3 (LOSit) + β4 (FATAit) + ε 4.1
In model 1, we use operating gross profitability (GROSSPR) as a dependent
variable. Number of days accounts receivable (AR) is used as an independent variable.
While, the control variables are used in this model including: debt ratio (DR), natural
logarithm of sales (LOS) and ratio of financial assets to total assets (FATA)
Table 4.3 Variables entered/removeb
Model 1 Variables Entered Variables Removed Method
1 FATA, LOS, DR, ARa Enter
a. All requested variable entered
b. Dependent variable: GROSSPR
Table 4.4 Model summaryb
Model R R Square Adjusted R2 Std. Error of
the Estimate
Durbin-
Watson
1 0.367a .135 .126 .38027 1.863
a. Predictors: (Constant), FATA, LOS, DR, AR
b. Dependent Variable: GROSSPR
38
Table 4.5 ANOVA result
Model Sum of
Squares
df Mean
Square
F Sig.
1 Regression 8.658 4 2.165 14.969 .000a
Residual 55.673 385 .145
Total 64.331 389
a. Predictors: (Constant) , FATA, LOS, DR, AR
b. Dependent Variable: GROSSPR
Table 4.6 Result of regression model
Model
Unstandardized
Coefficients
Standardized
Coefficients t Sig.
Collinearity
Statistics
B Std.Error Beta Tolerance VIF
1 (Constant) -.948 .412 -2.301 .022
AR -.002 .000 -.169 -3.418 .001 .916 1.091
LOS .042 .015 .138 2.796 .005 .918 1.089
DR .504 .093 .269 5.450 .000 .921 1.086
FATA .392 .136 .143 2.892 .004 .922 1.085
a. Dependent Variable: GROSSPR
Model 1 is estimated with fixed effects and includes number of days accounts
receivable as a measure of accounts receivable policy. The result of this regression
indicates that the coefficient of accounts receivable is negative with -.169 and p-value is
0.001. It shows highly significant at α = 0.01. This implies that the increase or decrease
in accounts receivable will significantly affect profitability of firm. Specifically, with
coefficient of – .169 indicates that when the other variables in the regression model is
no change, if number of days accounts receivable increase 1 day, it will lead to average
of gross operating profitability decrease .169 respectively.
Debt ratio is used as a proxy for leverage, from analysis of regression shows that
there is a positive relationship with dependent variable. The coefficient is 0.269 and has
significant at α = 0.01. This means that if there is an increase in debt ratio it will lead to
increase in profitability of firm. The result also indicates that there is a positive
relationship gross operating profitability and natural logarithm of sales as well ratio of
financial assets to total assets. The coefficients are 0.138 and 0.143 respectively. Both of
39
them are significant at α = 0.01. It implies that the size of firm has effect on profitability
of firm. The larger size leads to more profitable.
The adjusted R2, also called the coefficient of multiple determinations, is the
percentage of the variance in the dependent explained uniquely or jointly by the
independent variables and is 12.6%. The F statistic is used to test significant of R. From
result of SPSS, we see that the model is fit with F-statistics 14.969 and p-value is 0.000.
It shows highly significant at α = 0.01. So concludes that at least one of the AR, DR,
LOS, and FATA is related to GROSSPR.
Model 2
GROSSPRit = β0 + β1 (APit) + β2 (DRit) + β3 (LOSit) + β4 (FATAit) + ε 4.2
In model 2, there are the dependent variable gross operating profitability and the
same independent variables as the equation 4.1. The only difference is number of days
accounts receivable variable replaced by number of days accounts payable variable
Table 4.7 Variables entered/removeb
Model 1 Variables Entered Variables Removed Method
1 FATA, LOS, DR, APa Enter
a. All requested variables entered.
b. Dependent variable: GROSSPR
Table 4.8 Model summaryb
Model R R Square Adjusted R2 Std. Error of
the Estimate
Durbin-
Watson
1 0.381a .145 .137 .37787 1.791
a. Predictors: (Constant), FATA, LOS, DR, AP
b. Dependent Variable: GROSSPR
Table 4.9 ANOVA result
Model Sum of
Squares
df Mean
Square
F Sig.
1 Regression 9.358 4 2.339 16.384 .000a
Residual 54.973 385 .143
Total 64.331 389
a. Predictors: (Constant) , FATA, LOS, DR, AP
b. Dependent Variable: GROSSPR
40
Table 4.10 Result of regression model
Model
Unstandardized
Coefficients
Standardized
Coefficients t Sig.
Collinearity
Statistics
B Std.Error Beta Tolerance VIF
1 (Constant) -1.703 .391 -4.354 .000
AP .002 .000 .197 4.090 .000 .956 1.046
LOS .064 .014 .212 4.462 .000 .979 1.021
DR .473 .093 .252 5.105 .000 .907 1.102
FATA .446 .135 .162 3.313 .001 .924 1.082
a. Dependent Variable: GROSSPR
Looking at coefficients in table 4.10, we see that there is a positive relationship
between number of days accounts payable and profitability of firm. The coefficient is
0.197 and p value is 0.000. It shows highly significant at α = 0.01. It implies that the
increase or decrease in the number of days accounts payable significantly affects to
profitability of the firm. The positive relationship between the average payment period
and profitability indicates that the more profitable firms wait longer to pay their bills.
The same with result of model 1, logarithm of sales, debt ratio and financial
assets to total assets ratio are the positive relationship with profitability. All of them are
highly significant at α = 0.01.
The adjusted R2 is 13,7% and we see that the model is fit with F-statistics 16.384
and p-value is 0.000. It shows highly significant at α = 0.01. So concludes that at least
one of the AP, DR, LOS, and FATA is related to GROSSPR.
Model 3
GROSSPRit = β0 + β1 (INVit) + β2 (DRit) + β3 (LOSit) + β4 (FATAit) + ε 4.3
The third model is using the number of days inventories as an independent
variable as substitute of average payment period. The other variables are same as they
have been in first and second model.
Table 4.11 Variables entered/removeb
Model 1 Variables Entered Variables Removed Method
1 FATA, LOS, DR, INVa Enter
a. All requested variables entered.
b. Dependent variable: GROSSPR.
41
Table 4.12 Model summaryb
Model R R Square Adjusted R2 Std. Error of
the Estimate
Durbin-
Watson
1 0.367a .135 .126 .38021 1.829
a. Predictors: (Constant), FATA, LOS, DR, AP
b. Dependent Variable: GROSSPR
Table 4.13 ANOVA result
Model Sum of
Squares
Df Mean
Square
F Sig.
1 Regression 8.676 4 2.169 15.004 .000a
Residual 55.655 385 .145
Total 64.331 389
a. Predictors: (Constant) , FATA, LOS, DR, INV
b. Dependent Variable: GROSSPR
Table 4.14 Result of regression model
Model
Unstandardized
Coefficients
Standardized
Coefficients t Sig.
Collinearity
Statistics
B Std.Error Beta Tolerance VIF
1 (Constant) -1.057 .402 -2.627 .009
INV -.001 .000 -.167 -3.436 .001 .946 1.057
LOS .046 .015 .153 3.150 .002 .957 1.045
DR .525 .092 .280 5.688 .000 .925 1.081
FATA .366 .136 .133 2.688 .007 .913 1.096
a. Dependent Variable: GROSSPR
Looking at table 4.14, we can see that there is a negative relationship between inventory
turnover in days and profitability. The coefficient of this relationship is -.167 and
significant at α = 0.01. This means that if the inventory takes more time to sell, it will
adversely affect profitability. The figure of – .167 shows that if other variables in the
regression model are no change, number of days inventories increase one unit, it will
make average gross operating profitability decrease 0.167 unit respectively.
42
Result from this model also shows that the relationship between natural
logarithm of sales, debt ratio, ratio of financial assets to total assets and profitability are
positive with coefficient of 0.153, 0.280, and 0.133 respectively. The most of them are
highly significant at α = 0.01. The adjusted R2 is 12.6%. The coefficient of F statistic is
15.004 and has significant at α = 0.01. So concludes that at least one of the INV, DR,
LOS, and FATA is related to GROSSPR.
Model 4
GROSSPRit = β0 + β1 (CCCit) + β2 (DRit) + β3 (LOSit) + β4 (FATAit) + ε 4.4
In fourth model, cash conversion cycle is used as an independent variable
instead of number of days accounts receivable, number of days accounts payable,
number of days inventories. The other variables are kept the same as they have been in
the first, second and third models.
Table 4.15 Variables entered/removeb
Model 1 Variables Entered Variables Removed Method
1 FATA, LOS, DR, CCCa Enter
a. All requested variable entered
b. Dependent variable: GROSSPR
Table 4.16 Model summaryb
Model R R Square Adjusted R2 Std. Error of
the Estimate
Durbin-
Watson
1 0.460a .211 .203 .36345 1.906
a. Predictors: (Constant), FATA, LOS,DR, AP
b. Dependent Variable: GROSSPR
Table 4.17:
ANOVA result
Model Sum of
Squares
Df Mean
Square
F Sig.
1 Regression 13.592 4 3.398 25.724 .000a
Residual 50.724 385 .132
43
Total 64.316 389
a. Predictors: (Constant) , FATA, LOS, DR, INV
b. Dependent Variable: GROSSPR
Table 4.18 Result of regression model
Model
Unstandardized
Coefficients
Standardized
Coefficients t Sig.
Collinearity
Statistics
B Std.Error Beta Tolerance VIF
1 (Constant) -.571 .390 -1.464 .144
CCC -.002 .000 -.333 -7.081 .000 .928 1.078
LOS .032 .014 .104 2.231 .026 .939 1.065
DR .461 .089 .246 5.196 .000 .916 1.092
FATA .321 .130 .117 2.468 .014 .916 1.092
b. Dependent Variable: GROSSPR
The cash conversion cycle is used popularly to measure efficiency of working
capital management. From result of regression running indicates that there is a negative
relationship between cash conversion cycle and gross operating profitability. The
coefficient is -0.333 with p-value 0.000. It is highly significant at α = 0.01. This implies
that the increase or decrease in the cash conversion cycle significantly affects
profitability of the firm. The adjusted R2 is 20.3%. The coefficient of F statistic is
25.724 and has significant at α = 0.01. So concludes that at least one of the CCC, DR,
LOS, and FATA is related to GROSSPR.
All regression models are tested for multicollinearity. The variance inflation
factor (VIF) or the tolerances of the explanatory variables is used to detect whether one
predictor has a strong linear association with the remaining predictors. VIF measures
how much the variance of an estimated regression coefficient increases if your predictor
are correlation (multicollinearity). The largest VIF among all predictors is often used as
an indicator of serve muticollinearity. All predictors in the regression models had a
variance inflation factor (VIF) ranged between 1and1.1, except of debt ratio in model 2
with value at 1.102, which totally indicates that there is absence of multicollinearity
between the predictors in the regression models.
In addition, all regression models are tested for autocorrelation that is defined as
the cross-correlation of a signal with itself. Informally, it is the similarity between
44
observations as a function of the time separation between them. It is a mathematical tool
for finding repeating patterns, such as the presence of a periodic signal which has been
buried under noise, or identifying the missing fundamental frequency in a signal implied
by its harmonic frequencies. It is often used in signal processing for analyzing functions
or series of values, such as time domain signals.
This research uses Durbin-Watson test in order to test first-order autocorrelation
in the errors. In the most cases, when autocorrelation exits, there is a first-order
autocorrelation. The Durbin-Watson test statistic tests the null hypothesis that the
residuals from an ordinary least squares regression are not autocorrelated against the
alternative that the residuals follow an AR1 process. The Durbin-Watson statistic ranges
in value from 0 to 4. A value near 2 indicates non-autocorrelation; a value toward 0
indicates positive autocorrelation; a value toward 4 indicates negative autocorrelation.
From Durbin-Watson table, we see that du= 1.715 and 4- du= 2.285. This means that if
Durbin – Watson coefficient is ranged from 1.715 to 2.285, there will not be
autocorrelation in the errors. Results from SPSS indicate that all the Durbin-Watson
coefficient in four regression models are range from 1.791 to 1.906. Hence, we can
conclude that there is not autocorrelation in the errors of all regression models.
All the regression models are also tested for homogeneity of errors. This
research uses the Breush-Pagan-Godfrey to test heteroskedasticity that is a hypothesis
test of whether the pattern of the residuals is consistent across the range of predicted
values.
The null hypothesis for this test is (H0): The variance of the residuals is the same
for all values of independent variables.
The alternative hypothesis for this test is (H1): The variance of the residuals is
different for some values of the independent variables.
So, if the result of the test is failure to reject H0, we can conclude that the assumption of
homogeneity of errors is satisfied. Model 1 Heteroskedasticity Test: Breusch-Pagan-Godfrey
F-s tatis tic 1.402692 Prob. F (4,385) 0.2324 Obs*R-squared 5.601993 Prob. Chi-Square(4) 0.2309 Scaled explained SS 82.11388 Prob. Chi-Square(4) 0.0000
Test Equation: Dependent Variable: RESID^2 Method: Least Squares Date: 03/19/10 Time: 14:02
45
Sample: 1 390 Included observations: 390
Variable Coefficient Std. Error t-Statistic Prob.
C -1.279502 0.848012 -1.508825 0.1322 AR -0.000710 0.000950 -0.747092 0.4555
LOS 0.052095 0.030782 1.692360 0.0914 DR 0.182908 0.190309 0.961111 0.3371
FATA -0.067017 0.279098 -0.240122 0.8104
R-squared 0.014364 Mean dependent var 0.142750 Adjusted R-squared 0.004124 S.D. dependent var 0.783953 S.E. of regression 0.782335 Akaike info criterion 2.359671 Sum squared resid 235.6387 Schwarz criterion 2.410519 Log likelihood -455.1358 Hannan-Quinn criter. 2.379827 F-s tatis tic 1.402692 Durbin-Watson stat 2.005696 Prob(F-s tatis tic) 0.232383
Model 2 Heteroskedasticity Test: Breusch-Pagan-Godfrey
F-s tatis tic 1.693144 Prob. F (4,385) 0.1508 Obs*R-squared 16.98086 Prob. Chi-Square(4) 0.0019 Scaled explained SS 217.7705 Prob. Chi-Square(4) 0.0000
Test Equation: Dependent Variable: RESID^2 Method: Least Squares Date: 03/19/10 Time: 14:07 Sample: 1 390 Included observations: 390
Variable Coefficient Std. Error t-Statistic Prob.
C -1.685417 0.736648 -2.287954 0.0227 AP 0.003034 0.000853 3.557986 0.0004
LOS 0.061171 0.027115 2.255998 0.0246 DR 0.134542 0.174428 0.771332 0.4410
FATA 0.012646 0.253632 0.049859 0.9603
R-squared 0.043541 Mean dependent var 0.140957 Adjusted R-squared 0.033603 S.D. dependent var 0.724072 S.E. of regression 0.711803 Akaike info criterion 2.170705 Sum squared resid 195.0652 Schwarz criterion 2.221553 Log likelihood -418.2875 Hannan-Quinn criter. 2.190862 F-s tatis tic 1.693144 Durbin-Watson stat 1.988087 Prob(F-s tatis tic) 0.150781
46
Model 3 Heteroskedasticity Test: Breusch-Pagan-Godfrey
F-s tatis tic 2.046530 Prob. F (4,385) 0.0872 Obs*R-squared 8.119786 Prob. Chi-Square(4) 0.0873 Scaled explained SS 115.1004 Prob. Chi-Square(4) 0.0000
Test Equation: Dependent Variable: RESID^2 Method: Least Squares Date: 03/19/10 Time: 14:08 Sample: 1 390 Included observations: 390
Variable Coefficient Std. Error t-Statistic Prob.
C -1.216748 0.811115 -1.500094 0.1344 INV -0.001016 0.000619 -1.640028 0.1018 LOS 0.051801 0.029538 1.753694 0.0803 DR 0.184654 0.186093 0.992267 0.3217
FATA -0.081438 0.274876 -0.296272 0.7672
R-squared 0.020820 Mean dependent var 0.142706 Adjusted R-squared 0.010647 S.D. dependent var 0.770699 S.E. of regression 0.766585 Akaike info criterion 2.318995 Sum squared resid 226.2462 Schwarz criterion 2.369843 Log likelihood -447.2040 Hannan-Quinn criter. 2.339152 F-s tatis tic 2.046530 Durbin-Watson stat 2.006636 Prob(F-s tatis tic) 0.087235
Model 4 Heteroskedasticity Test: Breusch-Pagan-Godfrey
F-s tatis tic 1.285478 Prob. F (4,384) 0.2751 Obs*R-squared 15.80456 Prob. Chi-Square(4) 0.0033 Scaled explained SS 209.3972 Prob. Chi-Square(4) 0.0000
Test Equation: Dependent Variable: RESID^2 Method: Least Squares Date: 03/19/10 Time: 14:10 Sample: 1 390 Included observations: 389
Variable Coefficient Std. Error t-Statistic Prob.
C -0.566294 0.719295 -0.787290 0.4316 CCC -0.001424 0.000432 -3.294189 0.0011 LOS 0.029587 0.026130 1.132312 0.2582 DR 0.136023 0.163796 0.830441 0.4068
FATA -0.116332 0.240125 -0.484464 0.6283
R-squared 0.040629 Mean dependent var 0.130397 Adjusted R-squared 0.030635 S.D. dependent var 0.680852 S.E. of regression 0.670342 Akaike info criterion 2.050713 Sum squared resid 172.5537 Schwarz criterion 2.101659 Log likelihood -393.8637 Hannan-Quinn criter. 2.070910 F-s tatis tic 1.285478 Durbin-Watson stat 2.015620 Prob(F-s tatis tic) 0.275062
47
The result of running Breusch-Pagan-Godfrey for four regression models
indicates that the null hypothesis H0 is not rejected. Hence, the assumption of
homogeneity of error is satisfied for four models.
48
CHAPTER FIVE CONCLUSIONS AND IMPLICATIONS
5.1 Conclusions This thesis supports for existing literatures such as Shin and Soenen (1998),
Deloof(2003), Raheman and Nars (2007) who have found a strong negative relationship
between the measures of working capital management including the number of days
accounts receivable, number of days inventories and cash conversion cycle with
corporate profitability. Moreover, this thesis also adds to findings of Lazaridis and
Tryfonidis (2006) who claimed that there was a positive relationship between number of
days accounts payable and gross operating profitability.
The negative relationship between corporate profitability that measured by gross
operating profitability and cash conversion cycle that used as measuring efficient
working capital management shows that cash conversion cycle is longer, profitability is
smaller. This study suggests that managers can create value for their shareholders by
reducing the cash conversion cycle to a reasonable range.
Result from empirical analysis of relationship between working capital
management and profitability on Vietnam Stock Exchange also indicates that there is a
negative relationship between number of days accounts receivable and gross
profitability. This aspect, which is consistent with the results found by Deloof (2003),
underlines the importance of working capital management for firms. Lengthening the
deadlines for clients to make their payments, although it may improve profitability
because greater payment facilities may raise sales, also negatively affects profitability.
Thus a more restrictive credit policy giving customers less time to make their payments
improves performance (Garcia-Teruel and Martínez - Solano, 2007).
The findings of this empirical also indicate that number of days inventories has a
negative effect on gross operating profit. This means that the firm’s profitability can
also be improved by reducing the number of days inventories. The negative relationship
between profitability and number of days inventories as well number of days accounts
receivable can be explained if less profitable firms incentivize their customers by
granting them longer payment deadlines, or if with falling sales and consequently
declining profits find their stock levels rising. Besides, this thesis also shows the firms
will have more profitability if firms wait longer to pay their bills.
49
In addition, the control variables are utilized in the regression model also have
the relationship with profitability. Debt ratio, used as a proxy for leverage, natural
logarithm of sales and ratio of financial assets to total assets have a positive relationship
with gross operating profit.
Figure 5.1 The relationship between working capital management and
profitability
Regarding to hypotheses, this research takes following conclusions:
THE RELATIONSHIP BETWEEN WORKING CAPITAL MANAGEMENT AND
PROFITABILITY
Negative
Positive
Number of
days
accounts
receivable
Number of
days
accounts
payable
Number of
days
inventories
Cash
conversion
cycle
Gross
operating
profitability
Debt ratio
Logarithm
of sales
Ratio of
financial
assets to
total assets
Negative
Negative
Positive
Positive
Positive
50
Regarding to hypotheses, this research takes following conclusions:
Table 5.1 Hypothesis test results
Hypothesis 1 There is a negative relationship between number of days accounts receivable
and profitability that is measured by gross operating profit
Hypothesis 2 There is a positive relationship between number of days account payable and
profitability
Hypothesis 3 There is a negative relationship between number of days inventory and
profitability
Hypothesis 4 There is a negative relationship between cash conversion cycle and
profitability.
Hypothesis 5 There may exist a positive relationship between debt ratio and profitability.
Hypothesis 6 There may exist a positive relationship between size of firms and
profitability.
Hypothesis 7 There may exist a positive relationship between financial assets to total
assets ratio and profitability.
5.2 Implications The findings of this empirical research indicate that efficiency of working capital
management has an effect on profitability of firm. Therefore, managers want to create
value for their shareholders, they have to seek several solutions to improve their firm’s
profitability. This thesis as well others previous empirical research have demonstrated
that efficiency of working capital management has the significant relationship with
profitability. This means that in order to improve profitability of firm, a partly must
improve efficiency of working capital management. The findings of research from
regression indicate that cash conversion cycle has the largest negative effect on
profitability. It implies that an increase in the cash conversion cycle by 1 day is
associated with a decline in average gross operating profit by 33.3%. So, the managers
want to increase gross operating profit, they need to seek some of the solutions in order
to decrease cash conversion cycle which represents the number of days between the date
the firm must start to pay cash to its suppliers and the date it begins to receive cash from
its customers (Bodie and Merton, 2000).
51
From the equation of CCC above, it is seen that a firm can reduce its cash
conversion cycle by:
• Reducing the amount of time that goods are held in inventory.
In order to reduce number of days inventories, the managers improve control
process or by having suppliers deliver raw materials exactly when they are needed in the
production process.
• Collecting accounts receivable more quickly.
There are a lot of methods to speed up the collection process. Based on their
condition of operating business, the managers choose suitable solution as offering
discounts to customers who pay faster, and charging interest on accounts that are
overdue.
• Paying its bills more slowly:
In order to increase number of days accounts payable, the managers of listed
firms need to construct an effective cash management that is not only in the part of
speedy collection of its cash and receivables but also it should concentrate to slowing
their disbursement of cash to the customers or suppliers. Slowing disbursement of cash
is not the meaning of delaying the payment or avoiding the payment. Slowing
disbursement of cash is possible with the help of the following methods:
• Avoiding the early payment of cash
The firm should pay its payable only on the last day of the payment. If the firm
avoids early payment of cash, the firm can retain the cash with it and that can be used
for other purpose.
• Centralized disbursement system
Decentralizing collection system will provide the speedy cash collections.
Therefore, centralizing disbursement of cash system takes time for collection from our
accounts as well as we can pay on the date.
Cash conversion
cycle =
Number of days
accounts
receivable
+ Number of
days
inventories
- Number of days
accounts
payable
52
5.3 Limitations of research Although, findings of this empirical research is very important for mangers in
order to seek a lot of solutions to improve their profitability with hope that more and
more created value for their stockholders. However, this research also has the following
limitations:
• The period of time for this study is shortly in compare with some of the previous
studies about the relationship between working capital management and
profitability like Deloof, 2003, Shin and Soenen, 1998.
• Moreover, the study only refers to internal factors but not consider external
factors as industry dummy, level of economic activity (Lazaridis and Tryfonidis,
2006). Future research could further explore in order to expand the contributions
for this field.
\
53
References Afza, T., & Nazir, M. (2009). Impact of aggressive working capital management policy
on firms profitability. The IUP Journal of Applied Finance, 15(8), 20-30.
Appuhami. (2008). The impact of firm's capital expenditure on working capital
management: An empiricial study across industries in Thailand. International
Management Review, 4(1), 11-23.
Bodie, Z. and Merton, R. C. (2000). Finance, International edition: Prentice-Hall, New
Jersey.
Burns, P. (1985). Financial characteristics of small companies in the UK. Cranfield
School of Management.
Cavana, R., Delahaye, B., & Sekaran, U. (2001). Applied business research: Qualitative
and quantitative methods: John Wiley & Sons Australia, Milton.
Cohen, W. (2005). The entrepreneur and small business problem solver, 3ed: John
Wiley & Sons.
Davidson, W., & Dutia, D. (1991). Debt, liquidity and profitability problems in small
firms. Entrepreneurship Theory and Practice, 16(1), 53-64.
Davis, D., (2000). Business research for decision making, 5ed: Duxbury Thomson
Learning, Pacific Grove.
Deloof, M. (2003). Does working capital management affect profitability of Belgian
firms? Journal of Business Finance & Accounting, 30(3-4), 573-588.
Eljelly, A. M. (2004). Liquidity-profitability tradeoff: An empirical investigation in an
Emerging market. International Journal of Commerce and Management, 14(2),
48-61.
Emory, C. W. (1985). Business research methods, 3ed: Irwin.
Filbeck, G., & Krueger, T. (2005). Industry related differences in working capital
management. Mid-American Journal of Business, 20(2), 11-18.
Garcia-Teruel, P., & Martínez-Solano, P. (2007). Effects of working capital
management on SME profitability. International Journal of Managerial
Finance, 3(2), 164-177.
Gay, L., & Diehl, P. (1992). Research methods for business and management:
Macmillan, New York.
Hall, C. (2002). "Total" working capital management . AFP Exchange, 22(6), 26-32.
Harris, A. (2005). Working capital management: difficult, but rewarding. Financial
54
Executive, 21(4), 52-53.
Hutchinson, P., Farris, M., & Anders, S. (2007). Cash-to-cash analysis and
management. CPA journal , 77(8), 42-46.
Hutchinson, P., Meric, I., & Meric, G. (2006). The financial characteristics of small
firms which achieve quotation on the UK unlisted securities market. Journal of
Business Finance & Accounting, 15(1), 9-19.
Jose, M., Lancaster, C., & Stevens, J. (1996). Corporate returns and cash conversion
cycles. Journal of Economics and Finance, 20(1), 33-46.
Kargar, J., & Bluementhal, R. A. (1994). Leverage impact on working capital in small
business. TMA journal, 14(6), 46-53.
Kaushik, C. (2008). Working capital and profitability: An empirical analysis of their
relationship with reference to selected companies in the India pharmaceutical
industry. The Icfaian Journal of Management Research, VII (12), 42-59.
Keown, A. J., Martin, J. D., Petty, J. W., & Scott, D. (2003). Foundations of Finance,
4ed: Pearson Education, New Jersey.
Kerlinger, F. (1970). Foundations of behavioral research: Educational and psychological
inquiry: Holt, Rinehart & Winston, New York.
Kirchhoff, J., & Kirchhoff, B. (1987). Family contributions to productivity and
profitability in small business. Journal of Small Business Management, 25(4),
25-31.
Lamberson, M. (1995). Changes in working capital of small firms in relation to changes
in economic activity. Journal of Business, 10(2), 45-50.
Lazaridis, I., & Tryfonidis, D. (2006). Relationship between working capital
management and profitability of listed companies in the Athens stock exchange.
Journal of Financial Management and Analysis, 19(1), 26-35
Lev, B. (1983). Some economic determinants of time-series properties of earnings.
Journal of Accounting and Economics, 5(April), 31-48.
McMahon, R. G. P. (1995). Financial management for small business (2nd ed.): CCH
Australia.
Moss, J., & Stine, B. (1993). Cash conversion cycle and firm size: A study of retail
firms. Managerial Finance, 19(8), 25-34.
Narender, V., Menon, S., & Shwetha, V. (2008). Factors determining working capital
management in cement industry. South Asian Journal of Management, 15(4),
55
64-78.
Nazir, M. S., & Afza, T. (2009). Working capital requirements and the determining
factors in Pakistan. The International Journal of Applied Economics and
Finance, 15(4), 29-35
Nguyen, K. (2001). Financial management and profitability of small and medium
enterprises. DBA Thesis, Southern Cross University, Australia.
Osisioma, B. (1997). Sources and management of working capital. Journal of
Management Sciences, Awka, 2.January
Padachi, K. (2006). Trends in working capital management and its impact on firms’
performance: An analysis of Mauritian small manufacturing firms. International
Review of Business Research Papers, 2(2), 45-58.
Pedhazur, E., & Schmelkin, L. (1991). Measurement, design, and analysis: An
integrated approach. Lawrence Erlbaum Associates.
Raheman, A., & Nasr, M. (2007). Working capital management and profitability- case
of Pakistani Firms. International Review of Business Research Papers, 3(1),
279-300.
Ross, S. A., Westerfield, R. W., & Jaffe, J. (2005). Corporate finance, International
edition: McGraw-Hill/Irwin, Boston.
Samiloglu, F., & Demirgunes, K. (2008). The effect of working capital management on
Firm Profitability: Evidence from Turkey. The International Journal of Applied
Economics and Finance, 2(1), 44-50.
Shin, H. H., & Soenen, L. (1998). Efficiency of working capital management and
corporate profitability. Financial Practice and Education, 8(2), 37-45.
Singh, J. P., & Pandey, S. (2008). Impact of working capital management in the
profitability of Hindalco industries limited. Icfai University Journal of Financial
Economics, 6(4), 62-72.
Smith. (1980). Profitability versus liquidity tradeoffs in working capital management, in
readings on the management of working capital: West publishing company, New
York
Soenen, L. (1993). Cash conversion cycle and corporate profitability. Journal of Cash
Management, 13(4), 53-58.
Thomas III, J., & Evanson, R. (2006). An empirical investigation of association between
financial ratio use and small business success. Journal of Business Finance &
56
Accounting, 14(4), 555-571.
Uyar, A. (2009). The relationship of cash conversion cycle with Firm Size and
Profitability: An Empirical Investigation in Turkey. International Research
Journal of Finance and Economics, 24, February, 186-193.
Van Horne, J. C., & Wachowicz, J. M. (2004). Fundamentals of financial management,
12 ed: Prentice Hall, New York.
Zikmund, W. (1997). Business research methods: Harcourt Brace College Publishers,
Orlando.
57
Appendix
Appendix 1: Model 1
Collinearity Diagnosticsa
Model
Dimensi
on Eigenvalue Condition Index
Variance Proportions
(Constant) AR LOS DR FATA
1 1 3.914 1.000 .00 .02 .00 .01 .02
2 .617 2.519 .00 .04 .00 .03 .76
3 .361 3.290 .00 .77 .00 .09 .01
4 .107 6.040 .00 .07 .00 .86 .20
5 .001 58.781 1.00 .10 .99 .01 .01
a. Dependent Variable: GROSSPR
Residuals S tatis ticsa
Minimum Maximum Mean Std. Deviation N
Predicted Value -.2872 .7883 .3516 .14919 390
Residual -.54957 3.56313 .00000 .37831 390
Std. Predicted Value -4.282 2.927 .000 1.000 390
Std. Residual -1.445 9.370 .000 .995 390
a. Dependent Variable: GROSSPR
Appendix 2: Model 2
Collinearity Diagnosticsa
Model
Dimensi
on Eigenvalue Condition Index
Variance Proportions
(Constant) LOS DR FATA AP
1 1 3.875 1.000 .00 .00 .01 .02 .02
2 .645 2.451 .00 .00 .02 .69 .10
3 .365 3.257 .00 .00 .06 .08 .85
4 .114 5.837 .00 .00 .90 .21 .00
5 .001 56.222 1.00 1.00 .01 .00 .02
a. Dependent Variable: GROSSPR
58
Residuals S tatis ticsa
Minimum Maximum Mean Std. Deviation N
Predicted Value -.0966 .9845 .3516 .15510 390
Residual -.55008 3.39857 .00000 .37592 390
Std. Predicted Value -2.890 4.080 .000 1.000 390
Std. Residual -1.456 8.994 .000 .995 390
a. Dependent Variable: GROSSPR
Appendix 3: Model 3
Collinearity Diagnosticsa
Model
Dimensi
on Eigenvalue Condition Index
Variance Proportions
(Constant) LOS DR FATA INV
1 1 3.976 1.000 .00 .00 .01 .02 .02
2 .632 2.508 .00 .00 .02 .73 .04
3 .284 3.743 .00 .00 .14 .02 .80
4 .107 6.098 .00 .01 .81 .22 .09
5 .001 57.909 1.00 .99 .01 .01 .06
a. Dependent Variable: GROSSPR
Residuals S tatis ticsa
Minimum Maximum Mean Std. Deviation N
Predicted Value -.0780 .8276 .3516 .14934 390
Residual -.52869 3.56403 .00000 .37825 390
Std. Predicted Value -2.877 3.188 .000 1.000 390
Std. Residual -1.391 9.374 .000 .995 390
a. Dependent Variable: GROSSPR
Appendix 4: Model 4
Collinearity Diagnosticsa
Model
Dimensi
on Eigenvalue Condition Index
Variance Proportions
(Constant) LOS DR FATA CCC
1 1 3.902 1.000 .00 .00 .01 .02 .02
59
2 .624 2.502 .00 .00 .02 .74 .06
3 .369 3.251 .00 .00 .11 .02 .74
4 .105 6.110 .00 .01 .85 .21 .11
5 .001 58.041 1.00 .99 .02 .01 .08
a. Dependent Variable: GROSSPR
Residuals S tatis ticsa
Minimum Maximum Mean Std. Deviation N
Predicted Value -.2348 .9754 .3519 .18717 389
Residual -.53743 3.30470 .00000 .36157 389
Std. Predicted Value -3.135 3.331 .000 1.000 389
Std. Residual -1.479 9.093 .000 .995 389
a. Dependent Variable: GROSSPR
Appendix 5: Test normal for model 1
Case Processing Summary
Cases
Valid Missing Total
N Percent N Percent N Percent
s1 390 100.0% 0 .0% 390 100.0%
Descriptives
Statistic Std. Error
s1 Mean .8420 .01612
95% Confidence Interval for
Mean
Lower Bound .8103
Upper Bound .8737
5% Trimmed Mean .8441
Median .8317
Variance .101
Std. Deviation .31830
Minimum .04
Maximum 1.56
60
Range 1.52
Interquartile Range .44
Skewness -.072 .124
Kurtosis -.430 .247
T ests of Normality
Kolmogorov-Smirnova Shapiro-Wilk
Statistic df Sig. Statistic df Sig.
s1 .032 390 .200* .994 390 .111
a. Lilliefors Significance Correction
*. This is a lower bound of the true significance.
Appendix 6: Test normal for model 2
Case Process ing Summary
Cases
Valid Missing Total
N Percent N Percent N Percent
61
Case Process ing Summary
Cases
Valid Missing Total
N Percent N Percent N Percent
ResiualAP 390 100.0% 0 .0% 390 100.0%
Descriptives
Statistic Std. Error
ResiualAP Mean .8406 .01602
95% Confidence Interval for
Mean
Lower Bound .8091
Upper Bound .8721
5% Trimmed Mean .8430
Median .8317
Variance .100
Std. Deviation .31630
Minimum .04
Maximum 1.54
Range 1.50
Interquartile Range .44
Skewness -.090 .124
Kurtosis -.435 .247
T ests of Normality
Kolmogorov-Smirnova Shapiro-Wilk
Statistic df Sig. Statistic df Sig.
ResiualAP .034 390 .200* .993 390 .081
a. Lilliefors Significance Correction
*. This is a lower bound of the true significance.
62
Appendix 7: Test normal for Model 3
Case Process ing Summary
Cases
Valid Missing Total
N Percent N Percent N Percent
ResidualINV 390 100.0% 0 .0% 390 100.0%
Descriptives
Statistic Std. Error
ResidualINV Mean .8294 .01596
95% Confidence Interval for
Mean
Lower Bound .7980
Upper Bound .8608
5% Trimmed Mean .8311
Median .8285
Variance .099
Std. Deviation .31509
Minimum .04
Maximum 1.54
Range 1.50
Interquartile Range .42
Skewness -.102 .124
Kurtosis -.426 .247
T ests of Normality
Kolmogorov-Smirnova Shapiro-Wilk
Statistic df Sig. Statistic df Sig.
ResidualINV .047 390 .038 .993 390 .069
a. Lilliefors Significance Correction
63
Appendix 8: Test normal for model 4
Case Process ing Summary
Cases
Valid Missing Total
N Percent N Percent N Percent
ResidualCCC 390 100.0% 0 .0% 390 100.0%
Descriptives
Statistic Std. Error
ResidualCCC Mean .8444 .01583
95% Confidence Interval
for Mean
Lower Bound .8133
Upper Bound .8756
5% Trimmed Mean .8468
Median .8394
Variance .098
Std. Deviation .31259
Minimum .04
Maximum 1.54
Range 1.50
Interquartile Range .42
Skewness -.100 .124
Kurtosis -.404 .247
T ests of Normality
64
Kolmogorov-Smirnova Shapiro-Wilk
Statistic df Sig. Statistic df Sig.
ResidualCCC .042 390 .097 .994 390 .097
a. Lilliefors Significance Correction