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Barclays Bank bought a call option with 3 years to expiration from a hedge fund. The expected value of the option and the probabilities of

Barclays Bank bought a call option with 3 years to expiration from a hedge fund. The expected value of the option and the probabilities of default are given below:

Year 1 2 3
Expected value of option to bank ($ million) 10 12 14
Probability of bank defaulting 2% 2% 2%
Probability of hedge fund defaulting 4% 4% 4%

Assume that the option is uncollateralized, there is no recovery in the case of default and there are no other open positions with the hedge fund. The appropriate equivalent annual interest rate is 2% for all maturities

What is the bank's CVA (in $ million)?

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