Applied Mathematical Models of Option Pricing

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 30 November 2024 | Viewed by 1702

Special Issue Editor


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Guest Editor
School of Natural Sciences, Seoul National University of Science and Technology (SeoulTech), Seoul, Republic of Korea
Interests: option pricing; mathematical models in finance

Special Issue Information

Dear Colleagues,

Options are one of the most popular derivatives in the financial market. As a result, 'option pricing' is an important topic in the field of financial mathematics. For option pricing, various mathematical methods and models have been developed. Many models and methods should be developed to address the challenging issues that arise in option pricing.

The purpose of this Special Issue is to develop mathematical models for pricing various options.

Articles should deal with option pricing problems using various mathematical models and mathematically or statistically demonstrate the proposed themes.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:

  • option pricing,
  • mathematical models,
  • financial mathematics,
  • stochastic volatility models,
  • jump-diffusion models,
  • credit risk,
  • machine learning. 

I look forward to receiving your contributions.

Dr. Geonwoo Kim
Guest Editor

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Keywords

  • option pricing
  • mathematical models
  • financial mathematics
  • stochastic volatility models
  • jump-diffusion models
  • credit risk
  • machine learning

Published Papers (1 paper)

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Research

15 pages, 375 KiB  
Article
A Simplified Approach to the Pricing of Vulnerable Options with Two Underlying Assets in an Intensity-Based Model
by Geonwoo Kim
Axioms 2023, 12(12), 1105; https://doi.org/10.3390/axioms12121105 - 07 Dec 2023
Viewed by 767
Abstract
In this paper, we study a simplified approach to determine the pricing formula for vulnerable options involving two correlated underlying assets. We utilize an intensity-based model to describe the credit risk associated with these vulnerable options. Without the change of measure technique, we [...] Read more.
In this paper, we study a simplified approach to determine the pricing formula for vulnerable options involving two correlated underlying assets. We utilize an intensity-based model to describe the credit risk associated with these vulnerable options. Without the change of measure technique, we derive pricing formulas for vulnerable options involving two underlying assets based on the probabilistic approach. We provide closed-form pricing formulas for two specific types of options: the vulnerable exchange option and the vulnerable foreign equity option. Finally, we present numerical results to demonstrate the accuracy of our formulas using the Monte-Carlo method and the effect of various parameters on the price of options. Full article
(This article belongs to the Special Issue Applied Mathematical Models of Option Pricing)
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