Why is the calibration of a credit risk model to the market important in fixed income trading?

What will be an ideal response?


Although superior to what was previously available, there are two concerns that have been expressed about structural models: difficult to calibrate and computationally burdensome.Calibration is a necessary first step in fixed income trading because it allows traders to clearly see relative prices and hence be able to construct arbitrage trading strategies. To calibrate a structural model to price a corporate bond requires calibration to asset volatility, asset value, face value of the corporate issuer's debt, the default barrier (in the case of first-passage time models), and the risk-free rate. Although some of these values required for calibration can be estimated from market data (e.g., using Treasuries to estimate the risk-free rate), many are not observable or easy to obtain. The value of a corporation is estimated from stock prices for publicly traded corporations. Determining the face value of the corporation's debt may seem simple; however, in complex capital structures involving multiple bond issues, bank debt, guarantees on debt issues by others, pension liabilities, leasing obligations, and any interest-rate derivatives that the issuer may be exposed to, it is not simple. For first-passage time models, a suitable default barrier must be estimated. Because of this difficulty, it is argued that structural models are not suitable for the frequent marking to market of credit contingent securities.

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