The Valuation of American Options with Stochastic Interest Rates: A Generalization of the Geske-Johnson Technique
将Geske-Johnson方法推广到随机利率环境，用于定价和 hedging 美式期权，发现利率波动性会提高期权价值，且影响程度取决于期权实值程度、资产和利率的波动性及相关性。
The Geske–Johnson approach provides an efficient and intuitively appealing technique for the valuation and hedging of American-style contingent claims. Here, we generalize their approach to a stochastic interest rate economy. The method is implemented using options exercisable on one of a finite number of dates. We illustrate how the value of an American-style option increases with interest rate volatility. The magnitude of this effect depends on the extent to which the option is in the money, the volatilities of the underlying asset and the interest rates, as well as the correlation between them.