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Credit Default Swaps and the mixed-fractional CEV model

Axel A. Araneda

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Abstract: This paper explores the capabilities of the Constant Elasticity of Variance model driven by a mixed-fractional Brownian motion (mfCEV) [Axel A. Araneda. The fractional and mixed-fractional CEV model. Journal of Computational and Applied Mathematics, 363:106-123, 2020] to address default-related financial problems, particularly the pricing of Credit Default Swaps. The increase in both, the probability of default and the CDS spreads under mixed-fractional diffusion compared to the standard Brownian case, improves the lower empirical performance of the standard Constant Elasticity of Variance model (CEV), yielding a more realistic model for credit events.

Date: 2022-11
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