Study Session 16 - Forward Markets & Contracts Flashcards
Forward/futures contract price
S0*(1+Rf)^T
or S0=FP/((1+Rf)^T)
No-Arbitrage principle
there should not be a riskless profit to be gained by a combinationof a forward contract position with positions in other assets
no tradaction cost
no restriction on short sale and its proceeds
unlimited borrowing and lending @ risk-free
Value of long position in a forward contract at initiation
”””””””” at time t
S0-(FP/((1+Rf)^T)
St-(FP/((1+Rf)^T-t)
The no-arbitrage price of an equity forward/futures contract with discrete dividend
same as for bonds
(S0 - present value of dividend)*((1+Rf)^T)
or
(S0*((1+Rf)^T) - Future value of dividend
On the exam, use payment date unless the ex-dividend dates are given
Value of the long position in a forward contract on a dividend-paying stock
(S-Present value of dividend) - (FP/ ((1+Rf)^T-t))
price of an equity index forward/futures contract
S0e^((cc Rf-cc dividend yield)T)
cc = continuously compounded
Value of the forward contract on an equity index
St/(e^cc dividend yieldT-T)-FP/(e^cc RfT-t)
cc= continuously compounded
LIBOR quotation
annualized rate based on 360-day year
add-on yield
FRA Notation
ex: 2*3 FRA
2*3 FRA is a contract that expires in teo months (60 days), and the underlying loan is settled in three months (90 days). Theunderkying rate is a 1-Month (30 days) LIBOR on a 30-day loan in 60 day
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price of an FRA
unannualized rate le plus éloigné/unannualized rate le plus proche - 1
qu’on annualise en se rapellant que c’est sur une base de 360 jours par année
Value of a FRA
present value of the saving caused by the difference ofthe market rate and the settled rate
forward/futures price of a unit of foreign currency
S0* (1+Domestic currency interest rate/1+foreign currency interest rate)^T
value of a currency forward contracts
(St/((1+foreign interest rate)^T-t)) - ( Ft/((1+Domestic interest rate)^T-t)
Value of a futures contract
current futures price - previous mark-to-market price
If the correlation between the underlying asset value and interest rate is
positive
zero
negative
investor will…
go long in a futures contract, futures price will be higher
have no preference
go long in a forward contract, forward proce will be higher