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  • 1BM 602

    . [email protected]

    081-625-2182

    BALANCE SHEET

    ASSETS

    Current Assets

    Fixed Assets

    LIAB. & EQUITY

    Debt

    Equity:Com. Stocks

    Retained Earnings

    BALANCE SHEET

    ASSETS

    Current Assets

    Fixed Assets

    LIAB. & EQUITY

    Debt (II)

    Equity: Com. Stocks (I)

    Retained Earnings(III)

    BALANCE SHEET

    ASSETSCurrent Assets

    Fixed Assets

    Uses of Funds

    LIAB. & EQUITYDebtEquity:

    Com. StocksRetained Earnings

    Sources of Funds

  • 2BALANCE SHEETInvesting Interest

    Equity: ------------------ DividendCom. Stocks (I) &Retained Earnings (III) Capital Gains

    Sources of Funds

    Managing

    BALANCE SHEETFinancing

    LIAB. & EQUITYDebt (II) ------------------> Interest

    Equity: ------------------ DividendCom. Stocks (I) &Retained Earnings (III) Capital Gains

    Sources of Funds : WACC & CAPITAL STRUCTURE

    Managing

    BALANCE SHEETInvesting

    ASSETSCurrent Assets ------- Liquidity & Profitability

    Fixed Assets ------ Fixed Assets Turnover------ Payback, DPB------ NPV, IRR, MIRR

    Uses of Funds

    Managing

  • 3BALANCE SHEETInvesting

    ASSETSCurrent Assets ------- Liquidity & Profitability

    Fixed Assets ------ Fixed Assets Turnover------ Payback, DPB------ NPV, IRR, MIRR

    Uses of Funds: RISK $ RATES OF RETURN

    Managing

    1 - 1

    Responsibility of the Financial Staffoi

    Maximize stock value by: ono Forecasting and planning (r) Investment and financing decisions ( )

    Coordination and control () Transactions in the financial markets (n) Managing risk ()

    1 - 5Financial Management Issues of the New Millennium

    n

    The effect of changing technology()

    The globalization of business(n)

    1 - 7

  • 4or +o n

    r

    ono

    n1 - 8

    r (Goals of the Corporation) r (Goals of the Corporation)

    oo(Stockholder wealth maximization)

    oo(Maximizing the price of the firms common stock)

    1 - 15

    Financial Goals of the Corporationr

    The primary financial goal is shareholder wealth maximization,which translates to maximizing stock price.(n oo oo )

    1 - 16 Business Ethics

    Ethics noor n o o no} on r (Positive Correlation)

    1 - 20

  • 5Factors that affect stock price.{no

    Projected cash flows to shareholders ( ooo)

    Timing of the cash flow stream (no)

    Riskiness of the cash flows ()

    1 - 31 Basic Valuation Modelno

    To estimate an assets value, one estimates the cash flow for each period t (CFt), the life of the asset (n),and the appropriate discount rate (k)nr o n t (CFt), r (n), n (k)

    n

    1tt

    t

    nn

    22

    11

    .k)(1

    CF

    k)(1CF

    k)(1CF

    k)(1CF

    Value /

    1 - 32

    Factors that Affect the Level and Riskiness of Cash Flows{n

    Decisions made by financial managers:(o) Investment decisions () Financing decisions (the relative use of debt financing) (r)

    Dividend policy decisions ({) The external environment (o)

    1 - 33

    1. on2. 3. 4. r

    1 - 34

  • 62 - 2 e The Annual Report

    Balance sheet

    Income statement

    Statement of retained earnings n{

    Statement of cash flows nnonon

    2 - 4

    Economic Value Added (EVA)

    n(o)

    2 - 30

    (EVA) = NOPAT After-tax ($) Cost

    of Capital

    nOperating After - tax %capital cost of capitalNOPAT

    2 - 31

    n oo (ooo}o)

  • 7MVA =Market value

    of equity

    Equity capital supplied by investors

    MVA = no o n oo

    2 - 34 3 - 2

    1. rn 1. rn

    n

    rnrn

    }onn n r n

    3 - 5

    1. }}n2. oon o

    3 - 6

  • 8 nno n n no ?

    n} 5 n 1. n (Liquidity)2. or (Asset Management)3. (Debt Management)4. (Profitability)5. (Market Value)

    3 - 71.1. Liquidity

    2.2. Asset Management o

    r (amount ofassets vs. sales)

    3.3. Debt Management ro

    3 - 8

    4.4. Profitability njn

    n PM, ROE ROA

    5.5. Market Value on}n n P/E M/B

    3 - 9 2. nn2. nn

    n = 4.2

    n = 2.1

    1. n (Current ratio)

    r=

    2. n (Quick or Acid test ratio)

    r - o=

    r = 1,000310 = 3.2

    r = 385310 = 1.2

    3 - 15

  • 93. nor3. nor

    n = 9. 0

    1. o (Inventory turnover ratio)

    o

    =

    r = 3,000615

    = 4.9

    3 - 17

    o : oo : o

    onnno

    on

    3 - 18

    r = 3753,000 / 365

    =375

    8.2192 = 46

    n = 36

    2. (DSO = Days sales outstanding)

    on

    one/365

    ==

    3 - 19o : DSOo : DSO

    r oonnono

    3 - 20

  • 10

    3. r(Fixed assets turnover ratio)

    r

    =

    r = 3,0001,000= 3.0

    n = 3.0

    4. r (Total assets turnover ratio) =

    r

    = 3,0002,000 = 1.5 r

    n = 1.8

    3 - 21 o : FA TAo : FA TA r n

    3. 0 x 3. 0 xFA TOTA TO 1. 5 x 1. 8 x

    rnnnrnno o

    3 - 22

    oo1. oo

    no2. oo3. ( - n) }oo

    nn

    4. n4. n3 - 23

    r = 310 + 7542,000

    = 1,0642,000

    = 53.2 %

    n = 40.0 %

    2. Time - interest - earned (TIE) = EBITn r 283.8

    88= = 3.2 n

    n = 6.0 n

    1. n(Debt ratio)

    r

    =3 - 28

  • 11

    3. EBITDA Coverage Ratio nn nono

    EBITDA coverage ratio EBITDA + Lease paymentsInterest + Loan repayments + Lease payments

    =

    411.8136

    = r 283.8 + 100 + 2888 + 20 + 28= = 3.0 n

    n = 4.3 n

    3 - 29o : no : n

    r nD/ATIEEBITDAcoverage

    53.2 %3.2 x3.0 x

    40.0 %6.0 x4.3 x

    r nn

    3 - 30

    nnn EBITDA nnonnnooo

    3 - 315. n5. n

    1. (Profit margin on sales)

    n}oo

    =

    r = 113.53,000

    = 3.8 %

    n = 5.0 %

    3 - 32

  • 12

    o : no : n

    r nPM 3. 8 % 5. 0 %

    PM r nn o on o

    3 - 33

    2. Basic Earning Power(BEP) EBITr

    =

    n = 17.2 %

    = 14.2 %

    r 283.82,000

    =

    3 - 34

    o : BEPo : BEP r n

    BEP 14.2 % 17.2 %

    BEP nnn r oon r BEP nnoorn

    3 - 353. r

    [Return on total assets (ROA) Return on Investment (ROI)]

    n}oor=

    n = 9.0 %

    r 113.52,000

    = 5.7 %=

    4. no}o[(Return on common equity (ROE)]

    n}oonoo=

    r 113.5896

    = = 12.7 %

    n = 15.0 %

    3 - 36

  • 13

    o : ROA ROEo : ROA ROE

    ROAROE

    5.7 % 9.0 %12.7 % 15.0 %

    r n

    r ROA ROE nn

    BEP nnon

    3 - 376. n6. n

    1. no [Price/Earnings (P/E) Ratio]

    nono

    =

    r = 23.002.27= 10.1

    n = 12.5

    3 - 38

    2. no (Price/Cash Flow Ratio)

    no no=

    r = 23.004.27 = 5. 4

    n = 6. 8

    3 - 393. n

    no [Market/Book(M/B) Ratio]

    nooon=nno(Book value per share)

    Market/book ratio (M/B) nonno=

    r 23.0017.92

    = = 1.3

    n = 1.7

    r = 89650

    = 17.92

    3 - 40

  • 14

    o : o :

    P/EP/CFM/B

    10.1 x 12.5 x5.4 x 6.8 x1.3 x 1.7 x

    r n

    P/E : 1 oonP/CF : 1 oonM/B : n 1 oon

    n 3 no n

    3 - 418. oorn8. oorn

    1. n no

    2. nnnn}o}

    3. joono4. oono

    3 - 49

    5. n (window dressing)6. n n LIFO FIFO7. rn

    o ono8. n nn

    nonn oo

    3 - 5010. o (r{)10. o (r{)

    1. on on2. o rn3. o Supplier n4. no5. rn}n6. o7. n

    3 - 52

  • 15

    4 - 2 (What is a market?) (What is a market?)

    A market is a venue where goods and services are exchanged. ( o o)

    A financial market is a place where individuals and organizations wanting to borrow funds are brought together with those having a surplus of funds. ( rn ooooo)

    4 - 5

    Types of Market1. Physical asset markets : (Tangible Real

    asset markets) r n on

    Financial asset markets : r n o o oo r

    1. 1. 4 - 6

    2. Spot markets : (on - the - spot) ron

    Futures markets : rnn

    4 - 7

  • 16

    3. Money markets : rn 1 e n

    Capital markets : r 1 e n o oo

    4 - 8

    6. Primary markets () : r

    oo

    4 - 11

    7. Secondary markets () :rnoo

    oo oon

    4 - 12

    .

    oo

    on -

    o

    o o

    r

    (OTC)

    ( Primary Market )

    ( Secondary Market )

    o

    n

    n

    4 - 13

  • 17

    onooonHow is capital transferred between savers and borrowers?

    Direct transfers o Investment banking house on

    Financial intermediaries on

    4 - 162. 2.

    Business SaversInvestment

    Banking HouseBusiness Savers

    FinancialIntermediaryBusiness Savers

    Securities (Stocks or Bonds)Dollars

    Stocks BondsDollars Dollars

    Dollars Dollars

    Business,Securities

    Intermediary,sSecurities

    4 - 17

    3. r3. r

    Organized Security Exchanges

    Over - the - Counter Market : OTC

    4 - 20

    The price, or cost, of debt capital is the interest rate. (o )

    The price, or cost, of equity capital is the required return. The required return investors expect is composed of compensation in the form of dividends and capital gains. (ono oonoo {n)

    4. o (The Cost of Money)4. o (The Cost of Money)4 - 22

  • 18

    Production opportunities(o) Time preferences for

    consumption (noon)

    {no{no

    Risk (oo) Expected inflation (jn)

    4 - 235. 5.

    r

    kA = 108

    0 Dollars

    %S1

    D1D2

    kB = 12

    Dollars

    D1

    S1%Market A : Low - Risk SecuritiesInterest Rate , k

    Market B : High - Risk SecuritiesInterest Rate , k

    0

    4 - 24

    k = k* + IP + DRP + LP + MRPk = k* + IP + DRP + LP + MRP

    6. r6. r

    4 - 25

    k = o (represents any nominal rate) n o (required rate of return on a debt security)

    k* = r (realrisk - free rate of interest) on j n r

    Nominal vs. Real rates Nominal vs. Real rates 4 - 26

  • 19

    IP = nj (inflation premium)kRF = k* + IP = r

    (rate of interest on treasury securities)DRP = nn

    o (default risk premium)LP = nn

    (liquidity premium)MRP = n

    n (maturity risk premium)

    4 - 27kRF = k* + IP

    Nominal (Quoted)Risk - Free Rate

    of Interest

    o- US. Treasury bill (T - bill)- Treasury bonds (T - bonds)

    * noo

    4 - 28

    IP noo }jor

    DRP (Default Risk Premium)o DRP

    o

    4 - 29

    LP (Liquidity Premium)n

    }o onn nn 2 - 4 - 5 %

    4 - 30

  • 20

    MRP (Maturity Risk Premium)r

    oo n (interest rate risk)

    o

    4 - 31 5 - 2

    1. r (financial assets) : ono

    nn

    5 - 52. r 2

    (1) Stand - alone risk () r

    (2) Portfolio risk rr

    5 - 6

  • 21

    (1) o (diversifiable risk)oo

    (2) no (market risk , relevant risk) r onno o

    3. nrn} 2 n5 - 7

    4. r noo (

    ) n 5 % (n) noooon 5 % ()

    o(averse to risk)

    o(averse to risk)

    5 - 8

    1. 1.

    () =

    o -

    = 1,100 - 1,000 = 100 n 1,000 1 e o 1,100 :

    5 - 9

    =o -

    =1,000=100

    10 %

    5 - 10

  • 22

    Risk, in traditional terms, is viewed as a negative.

    Websters dictionary, for instance, defines risk as exposing to danger or hazard. The Chinese symbols for risk, reproduced below, give a much better description of risk

    wang chi The first symbol is the symbol for danger,

    while the second is the symbol for opportunity, making risk a mix of danger and opportunity.

    5 - 11

    n}o (low or negative return)on}o

    5 - 12

    2 (Two types of investment risk) r

    (Stand - alone risk ) nr

    (Portfolio risk)

    5 - 13RISK,RETURN,AND DIVERSIFICATION

    RISK ----> UNFAVORABLE OUTCOME

    HIGH RISK, HIGH RETURNDONT PUT ALL EGGS IN ONE BASKET

    DIVERSIFY RISK(UNSYSTEMATIC RISK)

    5 - 14

  • 23

    2. (Stand Alone Risk)2. (Stand Alone Risk)

    rnoo on

    r

    r

    5 - 15(1) n} (Probability Distribution)(1) n} (Probability Distribution)

    n}rr

    on}or o n

    n}(probability distribution)n}

    (probability distribution)

    5 - 17

    r(Expected Rate of Return)

    k =^ P1k1 + P2k2 + .Pnknk^ = 6 P ik i

    n

    i = 1

    (2) no : k (k - hat) (2) no : k (k - hat) ^

    Pi = r i , ki = or i

    5 - 19

    - 70 0 15 100 (%)

    0.1

    0.20.3

    0.4

    Martin ProductsMartin Productsn}

    no

    100 15 20

    0.1

    0.20.30.4

    U.S. WaterU.S. Watern}

    (%)

    no

    5 - 21

  • 24

    5 - 22n}

    no(Expected Rate of Return)

    (%)10015 200 10-70

    U

    M

    Standard deviation )^(1

    2

    n

    iii PkkV

    Variance = )^(1

    2

    n

    iii PkkV 2

    o n

    (3) : n(3) : n5 - 23

    VV VVV Vk

    68.26%

    95.46%99.74%

    15%

    M

    -50.84% 80.84%

    k = 15%^= 65.84%

    ^

    V

    5 - 27 : :

    on (Coefficient of Variation CV)

    1. k no n2. no k n3. k n no

    n

    ^^V^

    V

    V

    5 - 28

  • 25

    CV = =Std dev V

    k^Mean

    (4) : Coefficient of Variation(4) : Coefficient of Variation

    n no 1 n

    A standardized measure of dispersion about the

    expected value, that shows the risk per unit

    of return.

    5 - 29(4) o(4) o

    oon }onn }on

    onon

    5 - 46

    Risk premium the difference between the return on a risky asset and less risky asset, which serves as compensation for investors to hold riskier securities.(n nnrrn }ono rn)

    on (Investor attitude towards risk)

    5 - 47

    Portfolio : nr 2

    3. nr (Portfolio Risk)3. nr (Portfolio Risk)

    r}no

    5 - 49

  • 26

    5 - 50

    (Expected return on a portfolio) = kP^kP = w1k1 + w2k2 + . . . . . . . . . wnknkP = w1k1 + w2k2 + . . . . . . . . . wnkn^^^^

    ^ ^kp = 6 wi k in

    i = 1

    (1) nonr(1) nonr

    kP = nn ki^ ^

    (2) nr : P(2) nr : P

    Correlation Coefficient : r

    P nnn i rnr

    rnnno

    V

    V

    VV

    5 - 52

    Stand-alone Market Firm-specificrisk risk risk= +

    }n stand - alone

    risk rnoon b

    }nr o

    (3) o(3) o5 - 58

    DiversifiableCompany - SpecificUnsystematic

    Risk

    }o}

    r n o r

    o o5 - 59

  • 27

    noon n n portfolio n

    RelevantMarketNon - diversifiableSystematic

    Risk

    nono5 - 60

    ono [betab] ooo ooo # Stocks in Portfolio

    10 20 30 40 2,000+

    Company Specific Risk

    Market Risk ()20

    0

    p (%)

    35

    ro (n)

    V

    Stand-Alone Risk pV

    VM=

    5 - 63

    Capital Asset Pricing Model : CAPM

    }r

    ornn (risk free rate) oo

    5 - 65

    ki = kRF + (kM - kRF)biki = oo i kRF = nkM = bi = noo i

    5 - 66

  • 28

    (4) no (Beta : b)(4) no (Beta : b)Beta Coefficient : b

    oo rrn

    5 - 67

    Run a regression of past returns of a security against past returns on the market. (o regression r)

    The slope of the regression line (sometimes called the securitys characteristic line) is defined as the beta coefficient for the security. [n regression line (n the securitys characteristic line) n}nor]

    5 - 68

    .

    .

    .ki_

    kM_

    - 5 0 5 10 15 20

    20

    15

    10

    5

    - 5

    -10

    Illustration of beta calculation:Regression line:

    ki = -2.59 + 1.44 kM^ ^

    Year kM ki1 15% 18%2 -5 -103 12 16

    5 - 69

    EXCESS RETURNON STOCK

    EXCESS RETURNON MARKET PORTFOLIO

    BetaBeta =RiseRiseRunRun

    Narrower spreadNarrower spreadis higher correlationis higher correlation

    Characteristic LineCharacteristic Line

    CHARACTERISTIC LINE5 - 70

  • 29

    An index of systematic risk.It measures the sensitivity of a stocks returns to changes in returns on the market portfolio.The beta of a portfolio is simply a weighted average of the individual stock betas in the portfolio.

    An index of systematic risksystematic risk.It measures the sensitivity of a stocks returns to changes in returns on the market portfolio.The betabeta of a portfolio is simply a weighted average of the individual stock betas in the portfolio.

    WHAT IS BETA ?5 - 71

    EXCESS RETURNON STOCK

    EXCESS RETURNON MARKET PORTFOLIO

    Beta < 1Beta < 1(defensive)(defensive)

    Beta = 1Beta = 1

    Beta > 1Beta > 1(aggressive)(aggressive)

    Each characteristic characteristic lineline has a

    different slope.

    CHARACTERISTIC LINES AND DIFFERENT BATAS

    5 - 72

    Security Market Line (SML)

    orn ono

    or

    4. rn4. rn5 - 85

    Security Market Line Equation : SML Security Market Line Equation : SML

    ki = kRF + (kM - kRF) biki = kRF + (kM - kRF) bi

    oo i

    = +

    n

    noo i

    o i

    5 - 86

  • 30

    Security Market Line ( SML ) Security Market Line ( SML ) 5 - 94

    SML 1Original situation

    o k (%)

    0 1 1.5 Risk , b i

    11

    6

    SML 1Original situation

    o k (%)

    SML 2

    0 1 1.5 Risk , b i

    1186

    New SMLIP = 2 %

    13

    5 - 95

    kM= 13.5%

    kM = 11%SML1

    Original situation

    SML2

    After increasein risk aversion

    Risk, bi

    13.5

    6

    1.0

    2. 5 %

    0

    o k (%)

    11

    5 - 98 6 - 2

  • 31

    }rn Show the timing of cash flows. () Tick marks occur at the end of periods, so Time 0 is today; Time 1 is the end

    of the first period (year, month, etc.) or the beginning of the second period. ( o 0 { 1 1 (e ) })

    CF0 CF1 CF3CF2

    0 1 2 3i%

    1. o (TIME LINE)1. o (TIME LINE)6 - 6

    Finding the FV of a cash flow or series of cash flows when compound interest is applied is called compounding. ( FV oo)

    FV can be solved by using the arithmetic, financial calculator, and spreadsheet methods. (FVoo o spreadsheet)

    FV = ?

    0 1 2 310%

    - 100

    6 - 102. n (Future Value : FV)2. n (Future Value : FV)

    FV1 = PV + PV ( i )= PV (1 + i)

    FV2 = FV1 (1 + i)= PV (1 + i) (1 + i)= PV (1 + i)2

    FVn = PV (1 + i)nFVn = PV (1 + i)n

    n FV5 = 100 (1 + 0.05)5= $ 127.63

    6 - 12Future Value Interest Factors : FVIFi , n = (1 + i)n

    PERIOD ( n )123456789

    10

    0 %1.00001.00001.00001.00001.00001.00001.00001.00001.00001.0000

    5 %1.05001.10251.15761.2155

    1.34011.04711.44751.55131.6289

    10 %1.10001.21001.33101.46411.61051.77161.94872.14362.35792.5937

    15 %1.15001.32251.52091.74902.01142.31312.66003.05903.51794.0456

    6 - 13

    1.2763

  • 32

    Finding the PV of a cash flow or series of cash flows when compound interest is applied is called discounting (the reverse of compounding). [n PV o o n n (}oo)]

    The PV shows the value of cash flows in terms of todays purchasing power. (PVn{)

    PV = ? 100

    0 1 2 3

    10%

    6 - 173. n{ (Present Value : PV)3. n{ (Present Value : PV)

    0 i = 5% 1 2 3 4 5

    FVn = PV (1 + i) nFVn

    (1 + i) no :

    127. 63PV = ? FV1 FV2 FV3 FV4

    PV =

    FV5

    6 - 18

    Present Value Interest Factors for $1: PVIFi , n = 1/( 1 + i )nPERIOD ( n )

    123456789

    10

    8 %.9259.8573.7938.7350.6806.6302.5835.5403.5002.4632

    10 %.9091.8264.7513.6830.6209.5645.5132.4665.4241.3855

    12 %.8929.7972.7118.6355.5674.5066.4523.4039.3606.3220

    14 %.8772.7695.6750.5921.5194.4556.3996.3506.3075.2697

    .7835

    5 %.9524.9070.8638.8227

    .7462

    .7107

    .6768

    .6446

    .6139

    Annuity = n ()n on n oo

    6 - 315. nn(Future Value of an Annuity : FVAn)5. nn(Future Value of an Annuity : FVAn)

  • 33

    Future Value of an Annuity (FVAn) nn

    Annuity n} 2 1. Ordinary Annuity (Deferred Annuity) :

    nn 2. Annuity Due : nn o

    6 - 32 What is the difference between an ordinary annuity and an annuity due?

    Ordinary Annuity

    PMT PMTPMT

    0 1 2 3i%

    PMT PMT

    0 1 2 3i%

    PMT

    Annuity Due

    6 - 33

    Future Value Interest Factors for $1 Annuity : FVIFAi , nPERIOD ( n )

    123456789

    10

    8 %1.00002.08003.24644.50615.86667.33598.922810.63712.48814.487

    10 %1.00002.10003.31004.64106.10517.71569.487211.43613.57915.937

    12 %1.00002.12003.37444.77936.35288.115210.08912.30014.77617.549

    14 %1.00002.14003.43964.92116.61018.535510.73013.23316.08519.337

    3.1525

    5 %1.00002.0500

    4.31015.52566.80198.14209.549111.02712.578

    1. Ordinary Annuity1. Ordinary Annuity

    6. n{n (Present Value of an Annuity : PVA)6. n{n (Present Value of an Annuity : PVA)

    PVAn = PMT (PVIFAi , n)PVAn = PMT (PVIFAi , n)

    0 5 % 1 2 3100 100 100

    PVA3

    95. 2490. 7086. 38

    272. 32

    1. o

    6 - 41

  • 34

    Present Value Interest Factors for $1 Annuity : PVIFAi , nPERIOD ( n )

    123456789

    10

    5 %0.95241.8594

    3.54604.32955.07575.78646.46327.10787.7271

    8 %0.92591.78332.57713.31213.99274.62295.20645.74666.24696.7101

    10 %0.90911.73552.48693.16993.79084.35534.86845.33495.75906.1446

    12 %0.89291.69012.40183.03733.60484.11144.56384.96765.32825.6502

    14 %0.87721.64672.32162.91373.43313.88874.28834.63894.94645.2161

    2.7232 0 1 2 3 4 5PV = ? 100 100 100 100 100

    5 %

    7. Perpetuities7. Perpetuities

    Perpetuities on n

    PV ( Perpetuities ) = PMTi

    1000.05 = $ 2,000=

    6 - 49

    1. n{ (Present Value)1. n{ (Present Value)

    8. nnn8. nnn

    PV = + +CF1 CF2 CFn(1 + i) (1 + i)2 (1 + i)n

    6 - 50

    100 200 200 200 200 0 1,0000 1 2 3 4 5 6 76 %

    1. o

    94.34178.00167.92158.42149.450665.06

    1,413.19

    6 - 51

  • 35

    Will the FV of a lump sum be larger or smaller if compounded more often, holding the stated I% constant?

    LARGER, as the more frequently compounding occurs, interest is earned on interest more often.

    Annually: FV3 = $100(1.10)3 = $133.10

    0 1 2 310%

    100 133.10

    Semiannually: FV6 = $100(1.05)6 = $134.01

    0 1 2 35%

    4 5 6

    134.01

    1 2 30

    100

    6 - 66

    Annual compounding FV = PV (1 + i) n

    More frequent compounding FVn = PV mniNom

    m

    1 +

    6 - 79

    1. Nominal (Quoted) Rate : iNomAnnual Percentage Rate : APRooooonerr n

    12 4.5 % 1 e 3 4.5 % 1 e

    6 - 892. Periodic Rate : iPER

    iPER = iNomm

    oo 3 % n(3) } 12 % ne

    iPER = iNomm

    ; iNom = (iPER) m

    = 3 (4) = 12 %

    6 - 90

  • 36

    3. Effective (Equivalent) Annual Rate : EAR

    EAR : EFF % = 1 + iNom m - 1m

    6 - 91 7 - 2

    (What is a bond ?) A long-term debt instrument in which a borrower

    agrees to make payments of principal and interest, on specific dates, to the holders of the bond. oo (o) onnooono

    7 - 5

    1. on1. on

    1. (Treasury bonds Government bonds)

    nn o (no default risk)

    7 - 6

  • 37

    2. (Corporate bonds)n default risk

    3. (Municipal bonds) nn o default risk

    7 - 74. n (Foreign bonds)

    nnn default risk

    7 - 8

    oono 1 n

    1. no (Par value)

    7 - 9

    2. (Coupon interest rate)Floating rate bonds

    Fixed rate bonds

    on Zero coupon bonds nn

    ono

    7 - 10

  • 38

    3. n (Maturity date) nn 10 - 40 e

    4. nn (Call provisions) non oonn

    7 - 11

    5. n (Sinking funds) oono

    6. (Convertible bonds) oo}oo

    7 - 12

    7. o (Bonds issued with warrants) o

    oooo

    7 - 13

    8. o (Income bond) non

    9. Indexd bond (Purchasing power bond) j

    7 - 14

  • 39

    3. n (Bond Valuation)3. n (Bond Valuation)0 1 2 3 N

    INT +MINTINTINTVB = ?

    VB = nkd = o

    ( )

    kd%

    7 - 15

    N = {n

    INT = nM = nonn

    (par value)

    7 - 16

    VB = INT (PVIFAk , N) + M (PVIFk , N)VB = INT (PVIFAk , N) + M (PVIFk , N)

    VB = N INT + Mt = 1 (1 + kd) t (1 + kd) N

    d d

    7 - 17 n 1,000 10 % 15 e o 10 %nn

    VB = + ++ +INT( 1 + kd )1INT

    ( 1 + kd )2INT

    ( 1 + kd )NM

    ( 1 + kd )N

    VB = + +.+ +100( 1 + 0.1 )1100

    ( 1 + 0.1 )2100

    ( 1 + 0.1 )151,000

    ( 1 + 0.1 )15= 100 (PVIFA10% , 15) + 1,000 (PVIF10% , 15)

    7 - 18

  • 40

    nn

    M = 1,0001,495

    714

    Bond Value

    Years

    M

    Premium Bond

    Discount Bond

    0 5 10 15

    kd = coupon rate

    kd 5 %

    kd } 15 %

    7 - 27

    ooo

    4. 4. 7 - 29

    no (par value) 1,000 10 % 14 e

    1,494.93 o

    (YTM) en

    7 - 30

    VB = INT (PVIFA kd , 14) + M (PVIF kd , 14)VB = INT (PVIFA kd , 14) + M (PVIF kd , 14)

    1. o

    VB = N INT + Mt = 1 (1 + kd) t (1 + kd) N

    1,494.93 = + + + +100(1 + kd)100

    (1 + kd)2100

    (1 + kd)14 1,000

    (1 + kd)14

    7 - 31

  • 41

    o n

    n

    7 - 34

    VB = N 100 + Call Pricet = 1 (1 + kd) t (1 + kd) N

    1,494.93 = N 100 + 1,100t = 1 (1 + kd) t (1 + kd) N

    1. o7 - 36

    {

    o{

    ne 100 { 985

    985Current Yield = = 10.15 %100

    =

    7 - 386.6.

    (Interest Rate Risk)

    (Interest Rate Risk)

    n

    n

    1. rn(PRICE)

    1. ro(INCOME)o

    2. ono

    2. ono

    (Reinvestment Rate Risk)

    7 - 42

  • 42

    AAA AA A BBB

    oInvestment Grade

    oInvestment Grade

    (Junk Bond)

    (Junk Bond)

    BB B CCC D

    Ba B Caa CAaa Aa A Baa

    S&P :

    Moody ,s :

    7 - 45 8 - 2

    (Common Stock Valuation)3. no 3. no

    o : oo}o 2

    1. n{ooo2. ooooon n n (capital gain) oon n capital loss

    8 - 7

    Dt = { noe tP0 = o {P^t = o oe tP^0 = o }

    D0 = { e{

    8 - 8

  • 43

    g = {o^P0 = P0 orn

    kS = o

    kS = okS = no ^

    ^( non kS kS)

    8 - 9

    D1 = {noe (expected dividend yield)

    P1 - P0 = nooe (expected capital gains yield)

    P0^P0

    8 - 10

    non 2 n

    (1) no{ (2) noo

    Expected total return : kS = +D1 P1 - P0P0 P0

    ^ ^

    8 - 11oo 20

    (P0) no{ (D1) o 1.50 oo 1 e no (P1) 20.20 nonn

    kS = +D1 P1 - P0P0 P0

    ^ ^ = +1.50 20.20 - 2020 20= 8. 5 %

    8 - 12

    ^

  • 44

    noo{}rnoo{}r

    oooo ro {

    n o

    n{{

    o

    8 - 13

    P0 = + + ... + ^ D1 D2 D(1 + kS)1 (1 + kS)2 (1 + kS)

    P^0 = Dtt = 1 (1 + kS)t6v

    vv

    8 - 14

    4. no{

    4. no{

    P^0 =D0(1 + g)kS - g

    P^0 =D1

    kS - g

    8 - 15

    oo

    normalGrowth , 8 %

    normalGrowth , 8 %

    zeroGrowth , 0 %

    DecliningGrowth , - 8 %

    Dividend

    1.15

    0 1 2 3 4 5 Years

    End of SupernormalGrowth Period Supernormal

    Growth , 30 %

    { 8 - 21

  • 45

    9 - 2 n

    on o o

    1. oo}n(discount rate)

    2. onn

    9 - 6

    1. oo1. oo

    nn onn ooonnn nonon

    9 - 7

    2. 2.

    r (Capital Components) : oonn

    n component cost

    9 - 8

  • 46

    kd = n (on)

    kd (1 - T) = okP = ookS = ono}o 2 n

    n n n on

    ro9 - 9

    WACC = on (Weighted Average Cost of Capital)

    o WACC n (o)

    9 - 10

    3. o : kd(1 - T)3. o : kd(1 - T)

    o = - oo = - o

    = kd(1 - T)= kd(1 - T)

    = kd - kdT

    9 - 11

    4. oo : kP4. oo : kP

    DPPPkP =

    9 - 13

  • 47

    5. o : kS5. o : kSooo 2 n

    1. 2. on on ononn

    9 - 15

    }o (opportunity cost)oo ooo{nno oo = ooo = kS

    9 - 16

    oo

    3 1. o Capital Asset Pricing Model : CAPM

    kS = kRF + ( kM - kRF ) bikS = kRF + ( kM - kRF ) bi

    9 - 17 2. Risk Premium

    n (bond yield) 8 % risk premium 4 %

    kS = 8 % + 4 % = 12 % n bond yield 12 % : kS = 12 + 4 = 16 %

    kS = Bond Yield + Risk PremiumkS = Bond Yield + Risk Premium

    9 - 19

  • 48

    3. Dividend Yield Growth Rate Discounted Cash Flow

    P0 = D1

    kS - gD1kS = + g P0

    ^

    9 - 20

    3 kS nn 1 = 11.5 % 2 = 12.0 % 3 = 13.4 %

    onoo conservative o 13.4 %oo 3

    9 - 24

    6. oon : ke6. oon : keke n kS onn

    ononoD1

    P0 (1 - F)F = nono

    P0 (1 - F) =

    ke = + g

    9 - 257. on

    (Weighted Average Cost of Capital : WACC)7. on

    (Weighted Average Cost of Capital : WACC)

    WACC = wdkd(1 - T) + wPkP + wckSw = nn

    9 - 28

  • 49

    8. {no8. {no

    {no

    {no

    {o{o

    oo{{

    9 - 309. oo

    (Adjusting the Cost of Capital for Risk)9. oo

    (Adjusting the Cost of Capital for Risk)

    9 - 31

    no

    ooo

    10 - 2

    2. o2. o

    norn rooo

    10 - 9

  • 50

    3. 3. 1. nn2. nno3. r4. rn5. o6.

    10 - 11

    5. 5. 5.1 (Payback Period : PB)5.2 n{

    (Discounted Payback Period : DPB)5.3 n{ (Net Present Value : NPV)

    10 - 13

    5.4 (Internal Rate of Return : IRR)

    5.5 n (Modified Internal Rate of Return : MIRR)

    10 - 145.3 n{ ( NPV )5.3 n{ ( NPV )

    n{nNPV = PV - PV n

    = CF1 CF2 CFnCF0 + + + +( 1 + k )1 ( 1 + k )2 ( 1 + k )n= CFt

    nt = 0 ( 1 + k )n

    10 - 27

  • 51

    CF0 = CFt = e t

    k = o

    10 - 28

    5.4 ( IRR )5.4 ( IRR )

    n ( discount rate ) on{n ( n NPV n 0)

    10 - 34

    CF0 = + + +( 1 + IRR )1 ( 1 + IRR )2 ( 1 + IRR )nCF1 CF2 CFn

    ( 1 + IRR )1 ( 1 + IRR )2 ( 1 + IRR )3 ( 1 + IRR )41,000 = + + +500 400 300 100

    10 - 35

    0 1 2 3 4

    - 1,000 500 400 300 1001,000

    CF

    NPV

    PV

    0

    CF1-4

    IRR

    IRR S = 14.5 %

    10 - 36

  • 52

    r

    1. IRR no

    2. o IRR = o onoo

    10 - 38

    4. o IRR > oo IRR < o

    5. }o o IRR n

    3. o IRR > o ono

    S L : S

    10 - 39

    n IRR no NPV MIRR }r IRR

    10 - 53n 1.6 o e 1 10 o e 2 on 10 o o 10 %

    0 1 2- 1010- 1.6

    CFj CFj CFj i EXE

    = - 0.7736 o

    - 1010- 1.6NPV

    10

    10 - 54

  • 53

    100 200 300 400 500

    IRR1 = 25 %

    Cost of Capital ( % )

    NPV( Millions of Baths )

    - 1.5- 1.0

    0- 0.5

    0.51.01.5

    IRR2 = 400 %

    NPV = - 1.5 + -10 10( 1 + k ) ( 1 + k )2

    NPV = 0 IRR = 25% 400%

    10 - 55

    7. n7. n

    1. noe eoono (Cost of Capital)

    ( Modified Internal Rate of Return : MIRR )

    10 - 59

    2. oo 1 }n eo( Terminal Value : TV )

    3. no TV n MIRR

    10 - 60

    0 1 2 3 4Cash Flows - 1,000 500 400 300 100

    330484665.50

    1,579.50

    k = 10 %k = 10 %

    k = 10 %

    PV of TV 1,000NPV = 0

    MIRR = 12.1 %Terminal Value (TV)

    10 - 61

  • 54

    1. oj2. 3. o4. o5. o

    o6. on

    13 - 3

    on o ojo

    1. oj1. oj

    13 - 4

    o ( o o o ) oo (P0) (trade off)n E (ROE) EPS o (risk) o

    13 - 5{no{no{no

    1. 2. 3. n4. o ooo

    13 - 6

  • 55

    2. 2.

    1. 2. Operating Leverage

    3.

    13 - 7

    nno ( Return on Invested Capital ROIC ) on

    Capital = + no}o

    ROIC no oROIC = NOPAT = NI to commonstockholders +

    After-taxinterest payments

    Capital Capital

    ( 1 ) (Business Risk)( 1 ) ( 1 ) ( (Business Risk)Business Risk)

    13 - 8

    ROIC = ROE = NI to common stockholdersCommon equity

    non ROE

    13 - 9

    n ROE = ROICn ROE = ROIC {n{n1. oo ()2. 3. {4. o{

    5. rnon6. on7. o

    13 - 12

  • 56

    ( 2 ) Operating leverage ( 2 ) Operating leverage ( 2 ) Operating leverage Operating leverage o

    oo}o ooono o

    no}o

    13 - 13

    QBE FQBE F= P - V

    13 - 15

    Output o ROE = 0 EBIT = 0

    EBIT = PQ - VQ - F = 0

    13 - 17

    A A A B B B

    Sales

    Rev.TC

    FCSales

    Rev.

    TCFC

    Profit

    Loss

    (n)00

    (n)EBIT = 0 EBIT = 040 60

    ( 3 ) o (( 33 )) oo

    o WACC }oo P0 o

    oo WACC nn

    13 - 57

  • 57

    1. 2. oo

    4. 5. oo

    o

    3.

    4. o4. o13 - 65

    1. nnor2. nn3. no o4. ooon

    5. oo

    6. onn EBIT

    onnn

    ono

    o o M & M oo M M & M & M

    13 - 66

    o()

    0 D1 D2 Leverage ( D/A )

    20 o

    13 - 67 ( 1 ) ( 1 )

    100% 100%

    M&M oo o 2 nM&M oo o 2 n

    n}nonn oon}nonn

    oo

    13 - 68

  • 58

    0 D1 D2 Leverage ( D/A )

    20

    o ()

    o

    13 - 69( 2 ) oo(( 22 )) oooo

    oooo

    oooo

    ooo 3 nooooo 3 noo

    13 - 70

    13 - 71oonooonoo

    ()

    0 D1 D2 Leverage ( D/A )

    20o

    oonooono13 - 72

    0 D1 D2 Leverage ( D/A )

    20

    o()

    o

  • 59

    ( 3 ) (Trade - Off Theory)( 3 ) (Trade - Off Theory) n n

    ooo

    o

    roo ( no )

    roo ( no )

    o

    13 - 73

    0 D1 D2 Leverage ( D/A )

    20

    o ()

    noo

    o

    o

    o ( D/A = 0 )

    oooo ( - )

    M&M ( ooo 2 )roonoo

    ro (+)

    13 - 74

    ooooo noon D/A D1 ronoo oo D/A D2 oonroo D2 }o

    ooro M&Moo 100 %

    13 - 75

    n}nnono

    { noon

    no

    noon

    no

    (n) (n)13 - 76

  • 60

    nn

    ( 4 ) ( 4 ) ( (Signaling Theory)Signaling Theory)

    oono oono

    ooo 5 oono (Symmetric information)ooo 5 oono (Symmetric information)

    13 - 77

    oonooonooono

    (Negative)

    nnonoonno

    13 - 78

    (Positive)

    nononoon

    on M&M oo

    on M&M oo

    onoon ( oo )

    o

    onoon ( oo )

    o

    13 - 79nono

    o

    13 - 80

    oonoor oo{ o

  • 61

    14nrooo : {o

    1. ooo{n2. { 3. {4. {5. {on

    14 - 3

    nnoonrn

    n{nooo1. no

    2. n n3. nnn

    4. n

    { ( Dividend Policy ){ ( Dividend Policy )

    14 - 5

    1. ooo{n1. ooo{n14 - 6

    ooon{n o nj

    D1kS - g

    =P0^

    on}{

    1. on{2. oo

    oon

    o

    14 - 7

  • 62

    { {

    n

    n{{

    n{{

    o

    14 - 8

    1. Dividend Irrelevance onnn{n

    2. Bird - in - the - Hand : on{

    3. Tax Preference : o{nn

    on{ 3

    14 - 9

    1. Irrelevance2. Bird - in - the - Hand3. Tax Preference

    oo{nno{{

    o 3 o o 3 o14 - 15

    no on n 2 : 1 oooo

    o{ onn{ n no{ 10 % oo 100 o oo{ 10 o

    8. o{no8. o{no14 - 45

  • 63

    no (Stock Splits)z ono

    o

    z on n no} n nnnoo

    Ice Cream Parlor

    Banana Splits

    On Sale Now

    15 - 2

    16 - 21. r1. r

    ro

    ro}

    Permanent Current AssetsPermanent Current Assets VS Temporary Current AssetsTemporary Current Assets

    16 - 4

  • 64

    3. ConservativeApproach

    3. ConservativeApproach

    3 3

    1. Maturity Matching(Self - Liquidating)

    Approach

    1. Maturity Matching(Self - Liquidating)

    Approach

    16 - 5

    2. Relatively Aggressive Approach

    0 e

    r

    ro

    r

    n

    + no}o +

    roo

    16 - 6

    0 e

    r

    ro

    r

    n

    + no}o +

    roo

    16 - 7

    0 e

    r

    r

    r

    n

    + no}o +

    roo

    16 - 8