CVA for Cliquet options under Heston model
Department
Mathematics
Document Type
Article
Publication Date
4-1-2019
Abstract
Credit value adjustment (CVA) is an important pricing component in the counterparty credit risk (CCR) management. Cliquet options are a popular volatility product with protection against downside risk as well as significant upside potential. This paper aims to study the CVA for Cliquet options under stochastic volatility models. A partial differential equation (PDE) is first derived to price Cliquet options under the Heston model. Numerical schemes are then provided to solve the PDE and calculate exposure and CVA. Numerical tests are also carried out to examine the scheme accuracy and impacts of wrong way risk to CVA. Test results show that the numerical schemes are accurate. Wrong way risk plays an important role in pricing CVA for Cliquet options and the impact is crucial from the perspective of CCR management.
Journal Title
The North American Journal of Economics and Finance
Journal ISSN
1062-9408
Volume
48
First Page
272
Last Page
282
Digital Object Identifier (DOI)
10.1016/j.najef.2019.02.008