2012
DOI: 10.5815/ijem.2012.03.12
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Option Pricing Under Stochastic Interest Rates

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.

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Cited by 2 publications
(2 citation statements)
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“…Ghorbani [82] have studied on pricing with investment plane based on random interest rates. Ahmadi [83] has analyzed a new mathematical method with a linear fractional programming problem to evaluate the economic growth component.…”
Section: Strategy Dimensions and Control Package Dimensionsmentioning
confidence: 99%
“…Ghorbani [82] have studied on pricing with investment plane based on random interest rates. Ahmadi [83] has analyzed a new mathematical method with a linear fractional programming problem to evaluate the economic growth component.…”
Section: Strategy Dimensions and Control Package Dimensionsmentioning
confidence: 99%
“…Xiao [20] gave the solution of Black-Scholes formula under the partial differential equation method, the equivalent martingale measure method, and the derivation of European option pricing with the stochastic interest rate, paid dividend and jump-diffusion. Feng [21] with the stock price. Meanwhile, the investment strategy is taken when the stock price higher than the striking price.…”
Section: Introductionmentioning
confidence: 99%