Lecture No. 05_Determinants of Asset Prices and Interest Rates

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    Fall 2 13all 2 13ADVANCED FINANCIAL INSTRUMENTS AND MARKETS

    LectureNo.0DeterminantsofAssetPricesand

    Hammad HassanMirzaAssistantProfessor(Finance)

    UniversityofSargodha

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    InterestRatesandTheoriesofInterest

    2Propertyof

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    Principles

    of

    Pricing

    Financial

    Assets

    The

    market

    price

    of

    an

    asset

    equals:

    N

    N

    rrrrP

    )1(...

    )1()1()1( 33

    2

    2

    1

    1

    +++

    ++

    ++

    +=

    where: P = the price of the financial assetCF = cash flow at end of ear t t=1 2 NN = maturity of the financial assetr = appropriate discount rate

    3Propertyof

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    r=

    RR

    +

    IP

    +

    DP

    +

    MP

    +

    LP

    +

    EP

    where: RR =therealrateofinterest

    DP =thedefaultriskpremiumMP=thematurit remiumLP =theliquiditypremiumEP

    =

    the

    exchange

    rate

    risk

    premium

    4Propertyof

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    discountrate.

    Asthe

    discount

    rate

    rises,

    the

    price

    falls.

    Asthediscountratefalls,thepricerises.

    Reversibilityintheformofcommissionsandtransfer

    .

    5Propertyof

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    EffectofAssetPropertiesonthescoun

    a e

    Asset Properties Discount Rate

    Liquidity Risk Positive

    Convertibility Negative

    Currency Risk Positive

    6PropertyofDepartmentofBusinessAdministraiton,UniversityofSargodha

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    Pretaxdiscount

    rate

    x

    1

    mar inaltax

    rate

    Ifthemarginaltaxrateisexpectedtoincrease,the

    aftertax

    discount

    rate

    will

    decrease

    Ifthemarginaltaxrateisexpectedtodecrease,the

    7Propertyof

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    assetisinverselyrelatedtoitsprice.

    Thesensitivityof

    the

    assets

    price

    to

    a

    change

    in

    the

    .

    Changesintherequiredyieldaremeasuredintermsofbasispoints.

    8Propertyof

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    Price

    Sensitivity

    of

    Financial

    Assets

    changeinyieldisaffectedbytheassets:

    Maturity Coupon

    Yieldlevel

    9Propertyof

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    Price

    Sensitivity

    of

    Financial

    Assets

    Thelonger

    the

    maturity

    of

    an

    asset,

    the

    greater

    the

    price

    sensitivitytoachangeintherequiredyield.

    CouponRate

    Thelower

    the

    coupon

    rate,

    the

    greater

    the

    price

    sensitivitytoachangeintherequiredyield.

    LevelofInterestRates

    Thelower

    the

    prevailing

    yield

    level,

    the

    greater

    the

    price

    sensitivitytoachangeintherequiredyield.

    10Propertyof

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    Measuring

    Price

    Sensitivity

    to

    InterestRateChanges

    Forasmalldecreaseinrequiredyield,thepercentagechangeinpriceis:

    0PP

    0P

    Where: P- = asset price if required yield decreasesP0 = initial asset price

    11Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    Measuring

    Price

    Sensitivity

    to

    InterestRateChanges

    Theaveragepercentagechangeinpriceperbasispointchangeinrequiredyieldis:

    PP +

    0 y

    ere: - = asse pr ce y e ecreasesP+ = asset price if yield increases

    0 y = change in required yield

    12Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    same yield, the bond with the longermaturity

    will have the reater duration.

    For bonds with the same maturity and thesame ield, the bond with the lower cou onratewill have the greater duration.

    The lower the initial yield, the greater theduration for a given bond.

    13Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    RelationshipbetweenDurationand

    r ce

    ens v y

    afinancialassetis:

    Durationx(y)x100

    14Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    Modified

    Duration

    and

    Effective

    Duration

    Assumesfuturecashflowsfromanassetdonotchange

    withchanges

    in

    interest

    rates.

    EffectiveDuration

    Assumesfuturecashflowsfromanassetchangewith

    15Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    lenderfortheuseofresourcesthatwillbeused

    duringsome

    time

    period

    then

    returned.

    Realrate

    Riskfreerate

    16Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    s er s ass ca pproac

    Loan

    able

    Funds

    Theory KeynesLiquidityPreferenceTheory

    17Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    Marginalrateoftimepreference

    Income Rewardforsaving

    DemandforBorrowedResources

    arg na

    pro uc v y

    o

    cap a

    Rateofinterest

    18Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    RealRateofInterest(r)

    Premiumfor

    Ex ected

    Inflation

    FishersLaw

    (1+

    i)

    =

    (1

    +

    r)(1

    +

    p)

    or

    = +

    19Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    ,Governments,andHouseholds

    Changesin

    the

    money

    supply

    Governmentdeficits

    Changesinpreferencesbyhouseholds

    EquilibriumRateofInterest

    20Property

    of

    Department

    of

    Business

    Administraiton,

    University

    of

    Sargodha

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    Transactionsdemand

    Precautionarydemand

    Speculativedemand

    SupplyofMoney

    Equ r umRate

    o

    Interest

    21PropertyofDepartmentofBusinessAdministraiton,UniversityofSargodha

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    ChangesintheDemandforMoneyandInterestRates

    Ifincreasing,causestheinterestratetorise.

    IncomeEffect

    Ifincreasing,causestheinterestratetorise.

    PriceExpectationsEffect

    Ifincreasing,

    causes

    the

    interest

    rate

    to

    rise.

    NetEffect: e n eres ra emayr se, a ,orrema n

    unchanged

    depending

    on

    the

    net

    effect

    of

    changes

    indesiredliquidity,income,andpriceexpectations.22

    PropertyofDepartmentofBusinessAdministraiton,UniversityofSargodha

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    PrincipalorParValue

    Cou onInterest

    YieldtoMaturity(YTM)

    IfYTM=couponrate,marketprice=parvalue

    IfYTM

    >

    coupon

    rate,

    market

    price