[A simple introduction to contingent claim valuation of risky assets in a discrete time, stochastic interest-rate economy is provided. Taking the term structure of interest rates as exogenous, closed-form solutions are derived for European options written on (i) Treasury bills, (ii) interest-rate forward contracts, (iii) interest-rate futures contracts, (iv) Treasury bonds, (v) interest-rate caps, (vi) stock options, (vii) equity forward contracts, (viii) equity futures contracts, (ix) Eurodollar liabilities, and (x) foreign exchange contracts.]

[The Cox, Ross, and Rubinstein binomial model is generalized to the multinomial case. Limits are investigated and shown to yield the Black-Scholes formula in the case of continuous sample paths for a wide variety of complete market structures. In the discontinuous case a Merton-type formula is shown to result, provided jump probabilities are replaced by their corresponding Arrow-Debreu prices.]

A simple introduction to contingent claim valuation of risky assets in a discrete time, stochastic interest-rate economy is provided. Taking the term structure of interest rates as exogenous, closed-form solutions are derived for European options written on (i) Treasury bills, (ii) interest-rate forward contracts, (iii) interest-rate futures contracts, (iv) Treasury bonds, (v) interest-rate caps, (vi) stock options, (vii) equity forward contracts, (viii) equity futures contracts, (ix) Eurodollar liabilities, and (x) foreign exchange contracts.

The Cox, Ross, and Rubinstein binomial model is generalized to the multinomial case. Limits are investigated and shown to yield the Black-Scholes formula in the case of continuous sample paths for a wide variety of complete market structures. In the discontinuous case of Merton-type formula is shown to result, provided jump probabilities are replaced by their corresponding Arrow-Debreu prices.