A Structural Model with Counterparty Risks

Abstract

The recent financial crisis has triggered more studies on counterparty risks. The theoretical research on credit risk with counterparty risks has been built based upon the reduced-form model. In contrast, this paper suggests a structural model where firm value can be reduced due to counterparty risks. After deriving a price formula for corporate bonds, we analyze the credit spreads of the corporate bonds. The effects of the counterparty risk on credit spreads are as follows: First, regardless of the level of the counterparty's credit rating, the credit spreads of a firm increase because of counterparty risks. Second, the lower the counterparty's credit rating, the stronger the impact of either the correlation between the two firms on credit spreads, or the coefficient of reduction in firm value due to counterparty risks on credit spreads. Third, compared with existing structural models, there are some cases in which the structural model with counterparty risks is more consistent with actual credit spreads. These cases depend upon the counterparty's credit rating.