Credit valuation adjustment of cap and floor with counterparty risk: a structural pricing model for vulnerable European options

Abstract

This study develops a structural pricing model based on the Black 76 formula for the evaluation of the credit value adjustment (CVA) of OTC traded caps and floors, which is mandated as an integral part of Basel III. The proposed structural pricing model improves the existing structural pricing models for vulnerable European options by allowing payments to be made after the exercise of the options. Five crucial determinants of caps’ and floors’ CVAs are identified by the proposed structural model, they are: the cap’s/floor’s tenor, the writer’s total asset value, the correlation between the cap’s/floor’s underlying and the writer’s total asset value, the volatility of the writer’s total asset value, and the writer’s aggregate liabilities. Numerical examples are given to demonstrate the effects of the crucial parameters. Compared to the market practice of CVA calculation based on reduced-form models, the five crucial parameters are the unique features of the proposed structural model.