Final Formulas

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  • Law of One Price: P$ * S = P Purchasing Power Parity (PPP): S(/$) = P/P$

    Real Effective Exchange Rate (REER): $

    $$ *CCEE NR =

    Fisher Effect: +++=++= rrrri 1)1)(1( International Fisher Effect: $

    2

    21 iiSSS = where S1 and S2 are /$

    Forward Rate:

    +

    +=

    360*1

    360*1

    *$

    /$/$

    Ni

    NiSFN or

    +

    +=

    360*1

    360*1

    *$

    Ni

    NiSpotFwd

    Forward Premium/Discount:

    100*360*100*360*$)/(

    $)/($)/(vs$ NFwd

    FwdSpotNF

    FSfN

    NN

    ==

    100*360*100*360*)/($

    )/($)/($$vs NSpot

    SpotFwdNS

    SFf NN==

    Interest Rate Parity (IRP): )/$()1()1()/$(

    $

    SiiF +

    += or SpotiiFwd

    )1()1(

    $

    ++=

    Cross-Exchange Rate: )$(*)

    $()

    ( SSS =

    Forward Cross-Exchange Rate: $)/($)/(

    )/($)/($)/(

    N

    N

    N

    NN F

    FFFF ==

    Futures Value of short position = - Notional Principal * (Spot Future) Value of long position = Notional Principal * (Spot Future) Options (St = spot price at time of expiry; E = exercise or strike price) Calls: CaT = CeT = Max [St E, 0] Profit for long call: Spot (Strike + Premium) Profit for short call: Premium (Spot Strike) Puts: PaT = PeT = Max [E St, 0] Profit for long put: Strike (Spot + Premium) Profit for short put: Premium (Strike Spot) Present Value (PV)/Future Value (FV) If have PV, FV = PV * (1 + interest rate) If have FV, PV = FV / (1 + interest rate) Cost of Capital

    ))(1()(VDtk

    VEkk deWACC +=

    )__()( premiumriskmarketkkkkk rfrfmrfe +=+= where m

    jjmj

    = Cost of Debt/Equities in Home Currency

    )]1)(1[($ skk foreign ++= - 1 where s = change in exchange rate International Portfolio Measures E(rp) = waE(ra) + wbE(rb) abbababbaap wwww 22222 ++= Sharpe Measure:

    i

    fii

    RRSHP

    = Treynor Measure: i

    fii

    RRTRN

    =

    FuturesOptions (St = spot price at time of expiry; E = exercise or Profit for long put: Strike (Spot + Premium) Profit for shPresent Value (PV)/Future Value (FV)Cost of CapitalCost of Debt/Equities in Home CurrencyInternational Portfolio Measures

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