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Pricing Stock Options in a Jump‐Diffusion Model with Stochastic Volatility and Interest Rates: Applications of Fourier Inversion Methods

Pricing Stock Options in a Jump‐Diffusion Model with Stochastic Volatility and Interest Rates:... Fast closed form solutions for prices on European stock options are developed in a jump‐diffusion model with stochastic volatility and stochastic interest rates. The probability functions in the solutions are computed by using the Fourier inversion formula for distribution functions. The model is calibrated for the S and P 500 and is used to analyze several effects on option prices, including interest rate variability, the negative correlation between stock returns and volatility, and the negative correlation between stock returns and interest rates. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Finance Wiley

Pricing Stock Options in a Jump‐Diffusion Model with Stochastic Volatility and Interest Rates: Applications of Fourier Inversion Methods

Mathematical Finance , Volume 7 (4) – Oct 1, 1997

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References (29)

Publisher
Wiley
Copyright
Blackwell Publishers Inc 1997
ISSN
0960-1627
eISSN
1467-9965
DOI
10.1111/1467-9965.00039
Publisher site
See Article on Publisher Site

Abstract

Fast closed form solutions for prices on European stock options are developed in a jump‐diffusion model with stochastic volatility and stochastic interest rates. The probability functions in the solutions are computed by using the Fourier inversion formula for distribution functions. The model is calibrated for the S and P 500 and is used to analyze several effects on option prices, including interest rate variability, the negative correlation between stock returns and volatility, and the negative correlation between stock returns and interest rates.

Journal

Mathematical FinanceWiley

Published: Oct 1, 1997

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