Pricing a Collateralized Derivative Trade with a Funding Value Adjustment

Autor: Chadd B. Hunzinger, Coenraad C.A. Labuschagne
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Journal of Risk and Financial Management, Vol 8, Iss 1, Pp 17-42 (2015)
Journal of Risk and Financial Management
Volume 8
Issue 1
Pages 17-42
ISSN: 1911-8074
Popis: The 2008 credit crisis changed the manner in which derivative trades are conducted. One of these changes is the posting of collateral in a trade to mitigate the counterparty credit risk. Another is the realization that banks are not risk-free and, as a result, cannot borrow at the risk-free rate any longer. The latter led banks to introduced the controversial adjustment to derivative prices, known as a funding value adjustment (FVA), which is interlinked with the posting of collateral. In this paper, we extend the Cox, Ross and Rubinstein (CRR) discrete-time model to include collateral and FVA. We prove that this derived model is a discrete analogue of Piterbarg's partial differential equation (PDE), which describes the price of a collateralized derivative. The fact that the two models coincide is also verified by numerical implementation of the results that we obtain. Full article
Databáze: OpenAIRE