Pricing collateralised options in the presence of counterparty credit risk : an extension of the Heston–Nandi model

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Venter, Pierre Johan
Mare, Eben

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South African Statistical Association

Abstract

In this paper, a closed-formexpression for a collateralised European option in the presence of counterparty credit risk and stochastic volatility is derived. The model is applied to Standard and Poor’s 500 index options. The model prices obtained are consistent with expectations.

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Keywords

Collateral, Counterparty credit risk, Option pricing, Generalized autoregressive conditional heteroskedasticity (GARCH)

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Citation

Venter, P.J. & Mare, E. 2022, 'Pricing collateralised options in the presence of counterparty credit risk : an extension of the Heston–Nandi model', South African Statistical Journal, vol. 56, no. 1, pp. 37-51, doi : 10.37920/sasj.2022.56.1.3.