Pricing Vulnerable Options Using Conditional Expectation Transform Methods

In this study, a conditional expectation transform (CET) method was developed for solving high-dimensional systems arising in vulnerable options pricing. The CET was formulated to recast the pricing of vulnerable options into that of exchange-traded options under special terminal condition. Then, tr...

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Bibliographic Details
Main Author: Han Wang
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2024/9626168
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Summary:In this study, a conditional expectation transform (CET) method was developed for solving high-dimensional systems arising in vulnerable options pricing. The CET was formulated to recast the pricing of vulnerable options into that of exchange-traded options under special terminal condition. Then, traditional option pricing methods are deployed to price the exchange-traded options, and an analytical formula for vulnerable options is obtained. The vulnerable European option, vulnerable Barrier option, and vulnerable floating Lookback option were analyzed as examples to demonstrate the effectiveness and accuracy of the CET method. Numerical examples were provided to confirm the theoretical results.
ISSN:1607-887X