A derivatives dealer has a single transaction with a company which is a long position in a five-year option. The Black-Scholes-Merton value of the option is $6

Suppose that the credit spread on five-year bonds issued by the company is 100 basis points. What is the dealer's CVA per option purchased from the counterparty?
A. $0.19
B. $1.19
C. $0.29
D. $1.29


C

The value of the option when the counterparty's credit risk is taken into account is 6e−0.01×5=5.71 and so the CVA is 6−5.71 or $0.29 per option purchased

Business

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