The Journal of Finance publishes leading research across all the major fields of finance. It is one of the most widely cited journals in academic finance, and in all of economics. Each of the six issues per year reaches over 8,000 academics, finance professionals, libraries, and government and financial institutions around the world. The journal is the official publication of The American Finance Association, the premier academic organization devoted to the study and promotion of knowledge about financial economics.
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The Valuation of American Options with Stochastic Interest Rates: A Generalization of the Geske—Johnson Technique
Published: 04/18/2012 | DOI: 10.1111/j.1540-6261.1997.tb04823.x
T. S. HO, RICHARD C. STAPLETON, MARTI G. SUBRAHMANYAM
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.