A general firm value model under partial information

Cheikh Mbaye, Abass Sagna and Frédéric Vrins

Journal of Computational Finance

Abstract: We introduce a new structural default model intended to combine enhanced economic relevance and affordable computational complexity. Our approach exploits the information conveyed by a noisy observation of the firm’s value combined with the firm’s actual default state. Moreover, the model is reasonably general, since any diffusion can be used to depict the firm’s dynamics. However, this realistic setup comes at the cost of significant computational challenges. To mitigate these, we propose an implementation based on recursive quantization. A thorough analysis of the approximation error resulting from our numerical procedure is provided.We find that the observation noise has a significant impact on the credit spreads’ implied volatilities. The power of our method is illustrated through the pricing of credit default swap options.

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