Description: This paper presents an algorithm for valuing American options in a path simulation model. It demonstrates the accuracy by an example involving a put option on a non-dividend-paying stock for which the exact premium could be determined. It shows how the use of simulation models can be useful in valuing a broker-dealer's derivative book and analyzing the asset-liability condition of financial intermediaries.

Description: This paper shows that the Esscher transform is also an efficient technique for valuing derivative securities if the logarithms of the prices of the primitive securities are governed by certain stochastic processes with stationary and independent increments. Two applications are presented, the first for valuing a European call option and the second for pricing derivative securities of multiple risky assets.