
handle: 10419/102579
The credit valuation adjustment (CVA) of OTC derivatives is an important part of the Basel III credit risk capital requirements and current accounting rules. Its calculation is not an easy task—not only is it necessary to model the future value of the derivative, but also the probability of the default of a counterparty. Another complication in the calculation arises when the exposure to a counterparty is adversely, or favourably, correlated with the credit quality of that counterparty, i.e., when it is necessary to incorporate wrong-way, or right-way, risk. A semi-analytical CVA formula simplifying interest rate swap (IRS) valuation with the counterparty credit risk including the wrong-way risk is derived and analyzed in the article. The formula is based on the fact that the CVA of an IRS can be expressed using swaption prices. The link between the interest rates and the default time is represented by a Gaussian copula with a constant correlation coefficient. Finally, the results of the semi-analytical approach are compared with the results of a complex simulation study.
ddc:330, G13, Risky Swaption Price, Semi-analytical Formula, Credit Valuation Adjustment, Counterparty Credit Risk, Interest Rate Swap Price, C63, Counterparty Credit Risk, Credit Valuation Adjustment, Wrong-way Risk, Risky Swaption Price, Semi-analytical Formula, Interest Rate Swap Pricecointegration test, G32, G12, Wrong-way Risk, jel: jel:C63, jel: jel:G12, jel: jel:G13, jel: jel:G32
ddc:330, G13, Risky Swaption Price, Semi-analytical Formula, Credit Valuation Adjustment, Counterparty Credit Risk, Interest Rate Swap Price, C63, Counterparty Credit Risk, Credit Valuation Adjustment, Wrong-way Risk, Risky Swaption Price, Semi-analytical Formula, Interest Rate Swap Pricecointegration test, G32, G12, Wrong-way Risk, jel: jel:C63, jel: jel:G12, jel: jel:G13, jel: jel:G32
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