Futures and Forwards Flashcards
NDFs
Nondeliverable forwards
Total return index
Dividends are reinvested into the underlying index
Eurodollar
- US dollar deposits held outside the USA. Based on the LIBOR
- The long position locks in a fixed rate
FRA payoff
FRA quotation
A * B
- Contract expires in A months
- At expiration the tenor is (B - A)
- Total duration is B
- FRA price
- FRA valuation
- Amount to pay in order to enter the FRA
- Amount to pay or receive in order to exit once held
Forward value at initiation - formula
Forward value at time t - formula
Off-market FRA
The initial value isn’t necessarily set at 0
F(0, T) for an underlying paying dividends
PV(D, 0, T) = present value of dividends (actualized from the ex-dividend dates or the actual dividend payment date)
Continuously compounded risk-free rate
Discrete to continuous
Price of a forward paying a constant dividend at rate deltac
S0 is discounted at the dividend yield rate and equals the present value of the stock without the dividends
F(0, T) on a coupon-paying bond
- PV(CI, 0, T) = present value of the coupons
- T = time to expiration
- Y = remaining time to maturity at expiration
Vt (0, T) for a coupon-paying bond
- The contract expires in T days
- After expiration, the bond has a tenor of Y days
FRA notation
- g - an arbitrary day prior to expiration
- h - the expiration day
- h + m - time until the maturity of the Eurodollar instrument on which the FRA is based
- Li (j) - the rate on a j-day LIBOR deposit on day i
FRA payoff using notation
FRA (0, h, m) in function of the Libor rate - formula
FRA - Vg (0, h, m) formula
F (0, T) - Interest rate parity
F (0, T) for a continuously compounded currency forward
Vt (0, T) for a currency forward
Vt (0, T) for a continuously compounded currency forward at time t