University of Wollongong
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A closed-form pricing formula for European options under the Heston model with stochastic interest rate

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posted on 2024-11-16, 04:44 authored by Xinjiang He, Song-Ping ZhuSong-Ping Zhu
In this paper, a closed-form pricing formula for European options in the form of an infinite series is derived under the Heston model with the interest rate being another random variable following the CIR (Cox-Ingersoll-Ross) model. One of the main advantages for the newly derived series solution is that we can provide a radius of convergence, which is complemented by some numerical experiments demonstrating its speed of convergence. To further verify our formula, option prices calculated through our formula are also compared with those obtained from Monte Carlo simulations. Finally, a set of pricing formulae are derived with the series expanded at different points so that the entire time horizon can be covered by converged solutions.

Funding

The effect of bans on short selling: a comprehensive study

Australian Research Council

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Citation

He, X. & Zhu, S. (2018). A closed-form pricing formula for European options under the Heston model with stochastic interest rate. Journal of Computational and Applied Mathematics, 335 323-333.

Journal title

Journal of Computational and Applied Mathematics

Volume

335

Pagination

323-333

Language

English

RIS ID

118614

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