ADI method of credit spread option pricing based on jump-diffusion model

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Mohamadinejad R.; Neisy A.; Biazar J.

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2021 | Volume:11 | Issue:1 Page(s): 195-210

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Information Journal Paper

Title

ADI method of credit spread option pricing based on jump-diffusion model

Author(s)

Mohamadinejad R. | Neisy A. | Biazar J. | Issue Writer Certificate

Keywords

Interest rate

option pricing

Jump-diffusion models

Alternating direction implicit

Convergence

Abstract

As the main contribution of this article, we establish an option on a credit spread under a stochastic Interest rate. The intense volatilities in financial markets cause Interest rates to change greatly; thus, we consider a jump term in addition to a diffusion term in our Interest rate model. However, this decision leads us to a partial integral differential equation. Since the integral part might bring some difficulties, we put forward a fairly new numerical scheme based on the Alternating direction implicit method. In the remainder of the article, we discuss consistency, stability, and Convergence of the proposed approach. As the final step, with the help of the MATLAB program, we provide numerical results of implementing our method on the governing equation.

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