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 (1) Treasury bills, (2) interest-rate...

The Cox, Ross, and Rubinstein binomial model is generalized to the multinomial case. Limits are investigated and shown to yield the Blacks-Scholes formula in the case of continuous sample paths for formula in the case of complete market structures. In the discontinuous case a Merton-type formula...