Option Pricing Under Stochastic Interest Rates

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Author(s)

Haowen Fang 1,*

1. School of Business, Sun Yat-sen University, Guangzhou, Guangdong Province, China,510275

* Corresponding author.

DOI: https://doi.org/10.5815/ijem.2012.03.12

Received: 23 Mar. 2012 / Revised: 3 May 2012 / Accepted: 30 May 2012 / Published: 29 Jun. 2012

Index Terms

Option Pricing, Stochastic Interest Rates, Vasicek model, Brownian motions

Abstract

This paper reviews the research history of option pricing, then our model assumes that the interest rate subject to a given Vasicek stochastic differential equations, using option pricing by martingale method to study the stochastic interest rate model of European option pricing and obtain the pricing formula. Finally, we compare the differences between the standard European option pricing formulas and European option pricing formula under stochastic interest rate.

Cite This Paper

Haowen Fang,"Option Pricing Under Stochastic Interest Rates", IJEM, vol.2, no.3, pp.82-89, 2012. DOI: 10.5815/ijem.2012.03.12

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