The first part of this paper presents a general approach to valuing a financial institution's contracts when there is credit risk. The approach uses contingent claims pricing theory and is particularly appropriate for an off-balance sheet contract, such as a swap, that can have either a positive or a negative value to the counterparty. The second part of the paper extends the analysis by considering the problem, faced by bank supervisory authorities, of determining capital requirements for off-balance sheet contracts.
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John Hull (1989) studied this question.
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