Jump Diffusion Models for Risky Debts: Quality Spread Differentials
نویسندگان
چکیده
The quality spread differential is defined to be the difference between the default premiums demanded for fixed rate and floating rate risky debts. The risky debt model based on Merton’s firm value approach is used to examine the behaviors of the quality spread differential of fixed rate and floating rate debts. We extend earlier result by adopting Geometric Brownian diffusion process with jumps for the underlying firm value process of the debt issuer. Closed form formulas are obtained for the default premiums for risky debts. The impact of the jumps on the fixed-floating spread differential is examined.
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