finma ii ~ presentation 1

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    Return to NPV

    Example

    The government is lending you $100,000 for 10 years

    at 3% and only requiring interest payments prior to

    maturity. Since 3% is obviously below market, whatis the value of the below market rate loan?

    repaymentloanofPV-

    pmtsinterestofPV-borrowedamountNPV =

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    Return to NPV

    Example

    The government is lending you $100,000 for 10 years at 3% and only

    requiring interest payments prior to maturity. Since 3% is obviously below

    market, what is the value of the below market rate loan?

    Assume the market return on equivalent risk projects is 10%.

    012,43$

    988,56000,100

    )10.1(

    000,100

    )10.1(

    000,3000,001NPV

    10

    10

    1

    =

    =

    =

    =tt

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    Random Walk Theory

    The movement of stock prices from day to day

    DO NOT reflect any pattern.

    Statistically speaking, the movement of stock

    prices is random (skewed positive over the long term).

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    Random Walk Theory

    $103.00

    $100.00

    $106.09

    $100.43

    $97.50

    $100.43

    $95.06

    Coin Toss Game

    Heads

    Heads

    Heads

    Tails

    Tails

    Tails

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    Random Walk Theory

    S&P 500 Five Year Trend?

    or

    5 yrs of the Coin Toss Game?

    80

    130

    Month

    Level

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    Random Walk Theory

    S&P 500 Five Year Trend?

    or

    5 yrs of the Coin Toss Game?

    80

    130

    180

    230

    Month

    Level

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    Efficient Market Theory

    Last

    Month

    This

    Month

    Next

    Month

    $90

    70

    50

    MicrosoftStock Price

    Cycles

    disappear

    once

    identified

    Actual price as soon as upswing is

    recognized

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    Random Walk Theory

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    Random Walk Theory

    R

    eturninweekt+

    1,

    (%)

    Return in week t, (%)

    FTSE 100(correlation = -.08)

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    Random Walk Theory

    R

    eturninweekt+

    1,

    (%)

    Return in week t, (%)

    Nikkei 500(correlation = -.06)

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    Random Walk Theory

    R

    eturninweekt+

    1,

    (%)

    Return in week t, (%)

    DAX 30(correlation = -.03)

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    Random Walk Theory

    R

    eturninweekt+

    1,

    (%)

    Return in week t, (%)

    S&P Composite

    (correlation = -.07)

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    Efficient Market Theory

    Weak Form Efficiency

    Market prices reflect all historical information

    Semi-Strong Form Efficiency

    Market prices reflect all publicly available

    information

    Strong Form Efficiency

    Market prices reflect all information, both public

    and private

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    Efficient Market Theory

    Fundamental Analysts

    Research the value of stocks using NPV and other

    measurements of cash flow

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    Efficient Market Theory

    Technical Analysts

    Forecast stock prices based on the watching the

    fluctuations in historical prices (thus wiggle

    watchers)

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    Efficient Market Theory

    -16

    -11

    -6

    -1

    4

    9

    14

    19

    24

    29

    34

    39

    Days Relative to annoncement date

    Cum

    ulativeAbnorm

    alReturn

    (%)

    Announcement Date

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    Efficient Market Theory

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    40

    1962

    1977

    1992

    Return(%)

    Funds

    Market

    Average Annual Return on 1493 Mutual Funds and theMarket Index

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    Efficient Market Theory

    0

    5

    10

    15

    20

    First Second Third Fourth Fifth

    AverageReturn(%)

    IPO

    Matched Stocks

    IPO Non-Excess Returns

    Year After

    Offering

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    Efficient Market Theory

    2000 Dot.Com Boom

    883,1208.092.

    6.154

    )( 2000March === gr

    Div

    indexPV

    589,8074.092.

    6.154)( 2002October =

    =

    =

    gr

    DivindexPV

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    Lessons of Market Efficiency

    Markets have no memory

    Trust market prices

    Read the entrails

    There are no financial illusions

    The do it yourselfalternative

    Seen one stock, seen them all

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    M&M (Debt Policy Doesnt Matter)

    Modigliani & Miller

    When there are no taxes and capital markets

    function well, it makes no difference whether the

    firm borrows or individual shareholders borrow.Therefore, the market value of a company does

    not depend on its capital structure.

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    M&M (Debt Policy Doesnt Matter)Assumptions

    By issuing 1 security rather than 2, companydiminishes investor choice. This does not reducevalue if:

    Investors do not need choice, OR

    There are sufficient alternative securities

    Capital structure does not affect cash flows e.g...

    No taxes

    No bankruptcy costs

    No effect on management incentives

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    M&M (Debt Policy Doesnt Matter)

    Profits01.01V.

    urnDollar RetInvestmentDollar

    U

    L

    LL

    L

    L

    01V.Profits01.)E01(D.Total

    Interest)-Profits(01.01E.Equity

    Interest.0101D.Debt

    urnDollar RetInvestmentDollar

    =

    +

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    M&M (Debt Policy Doesnt Matter)

    ).01(V

    interest)-Profits(01.01E.

    urnDollar RetInvestmentDollar

    LL

    L

    D=

    Interest)-Profits(01.)D01(V.Total

    Profits01.01V.Equity

    Interest.01-01D.Borrowing

    urnDollar RetInvestmentDollar

    LU

    U

    L

    +

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    Example - Macbeth Spot Removers - All Equity Financed

    201510%5(%)sharesonReturn

    2.001.501.00$.50shareperEarnings

    2,0001,5001,000$500IncomeOperatingDCBA

    Outcomes

    10,000$SharesofValueMarket

    $10shareperPrice

    1,000sharesofNumber

    Data

    M&M (Debt Policy Doesnt Matter)

    Expected

    outcome

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    Examplecont.

    50% debt

    M&M (Debt Policy Doesnt Matter)

    3020100%(%)sharesonReturn

    321$0shareperEarnings

    500,11,000500$0earningsEquity

    500500500$500Interest

    000,21,5001,000$500IncomeOperating

    CBA

    Outcomes

    5,000$debtofueMarket val

    5,000$SharesofValueMarket

    $10shareperPrice

    500sharesofNumber

    Data

    D

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    Example - Macbeths - All Equity Financed- Debt replicated by investors

    3020100%(%)investment$10onReturn

    3.002.001.000$investmentonearningsNet1.001.001.00$1.0010%@Interest:LESS

    4.003.002.00$1.00sharestwoonEarnings

    DCBAOutcomes

    M&M (Debt Policy Doesnt Matter)

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    MM'S PROPOSITION I

    If capital markets are doing their job,

    firms cannot increase value by tinkering

    with capital structure.

    V is independent of the debt ratio.

    AN EVERYDAY ANALOGY

    It should cost no more to assemble a

    chicken than to buy one whole.

    No Magic in Financial Leverage

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    Proposition I and Macbeth

    2015(%)shareperreturnExpected

    1010($)shareperPrice

    2.001.50($)shareperearningsExpectedEquityandDebtEqual

    :StructureProposed

    EquityAll

    :StructureCuttent

    Macbeth continued

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    Leverage and Returns

    securitiesallofuemarket val

    incomeoperatingexpectedrassetsonreturnExpected a ==

    ++

    +=

    ED

    E

    rED

    D

    rr EDA

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    M&M Proposition II

    15.000,10

    1500securitiesallofuemarket val

    incomeoperatingexpectedrr AE

    ==

    ==

    ( )V

    Drrrr DAAE +=

    Macbeth continued

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    M&M Proposition II

    15.000,10

    1500

    securitiesallofuemarket val

    incomeoperatingexpectedrr AE

    ==

    ==

    ( )

    20%or20.

    5000

    500010.15.15.

    =

    +=Er

    Macbeth continued( )VDrrrr DAAE+=

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    Leverage and Risk

    20%-020%sharesonReturn

    $2.00-02($)shareperEarnings:debt%50

    10%-5%15%sharesonReturn

    $1.00-0.501.50($)shareperEarningsequityAll

    Change

    $500

    Income

    to$1,500

    Operating

    Macbeth continuedLeverage increases the risk of Macbeth shares

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    Leverage and Returns

    Asset Value 100 Debt (D) 40

    Equity (E) 60

    Asset Value 100 Firm Value (V) 100

    rd = 7.5%

    re = 15%

    Market Value Balance Sheet example

    %75.12100

    6015.

    100

    40075. =

    +

    =

    ++

    +=

    A

    EDA

    r

    ED

    Er

    ED

    Drr

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    Leverage and Returns

    Asset Value 100 Debt (D) 40

    Equity (E) 60

    Asset Value 100 Firm Value (V) 100

    rd = 7.5% changes to 7.875%

    re = ??

    Market Value Balance Sheet example continued

    What happens to Re when debt costs rise?

    %0.16

    100

    60

    100

    4007875.1275.

    =

    +

    =

    e

    e

    r

    r

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    Leverage and Returns

    +

    =

    V

    EB

    V

    DBB EDA

    ( )DAAE BBVD

    BB +=

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    WACC

    +

    ==

    V

    Er

    V

    DrrWACC EDA

    WACC is the traditional view of capitalstructure, risk and return.

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    r

    D

    V

    rD

    rE

    rE =WACC

    WACC

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    r

    D

    E

    rD

    rE

    M&M Proposition II

    rA

    Risk free debt Risky debt

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    r

    D

    V

    rD

    rE

    WACC

    WACC (traditional view)

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    r

    D

    V

    rD

    rE

    WACC

    WACC (M&M view)

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    After Tax WACC

    The tax benefit from interest expense

    deductibility must be included in the cost of

    funds.

    This tax benefit reduces the effective cost of

    debt by a factor of the marginal tax rate.

    +

    =

    V

    ErV

    DrWACC ED

    OldFormula

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    After Tax WACC

    +

    = V

    ErV

    DTcrWACC ED )1(

    Tax Adjusted Formula

    Aft T WACC

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    After Tax WACC

    Example - Union Pacific

    The firm has a marginal tax rate of 35%.

    The cost of equity is 10.0% and thepretax cost of debt is 5.5%. Given the

    book and market value balance sheets,

    what is the tax adjusted WACC?

    Aft T WACC

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    After Tax WACC

    Example - Union Pacific - continued

    Balance Sheet (Market Value, billions)

    Assets 22.6 7.6 Debt

    15 Equity

    Total assets 22.6 22.6 Total liabilities

    MARKET VALUES

    Aft T WACC

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    After Tax WACC

    Example - Union Pacific - continued

    +

    = V

    E

    rV

    D

    TcrWACC ED )1(

    Debt ratio = (D/V) = 7.6/22.6= .34 or 34%

    Equity ratio = (E/V) = 15/22.6 = .66 or 66%

    Aft T WACC

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    After Tax WACC

    Example - Union Pacific - continued

    +

    =

    V

    Er

    V

    DTcrWACC ED )1(

    ( ) ( )

    %8.7078.

    66.10.34.)35.1(055.

    ==

    +=WACC