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Pricing Credit Default Swaps under the scaled constant elasticity of variance model

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ARANEDA Axel A.

Rok publikování 2025
Druh Recenzovaný odborný článek
Časopis / Zdroj IMA Journal of Management Mathematics
Fakulta / Pracoviště MU

Ekonomicko-správní fakulta

Citace
www https://academic.oup.com/imaman/advance-article/doi/10.1093/imaman/dpaf032/8221730
Doi https://doi.org/10.1093/imaman/dpaf032
Klíčová slova scaled Brownian motion; first-passage time; CEV model; credit default swaps; squared Bessel process
Přiložené soubory
Popis This paper explores the capabilities of the Constant Elasticity of Variance model driven by scaled Brownian motion (sCEV) to address default-related financial problems, particularly the pricing of Credit Default Swaps (CDS). The first-passage time over zero-state (default) probability is obtained, linking the related Fokker-Planck equation to a well-known result for the square Bessel processes. After computing the present value of the protection payment due to a default event, a CDS contract is valued. The increase in both the probability of default and the coupon rates under scaled diffusion compared to the standard Brownian can improve the lower empirical performance of the standard Constant Elasticity of Variance model, leading to a more realistic model for credit events.

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