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A Credit-Risk Valuation under the Variance-Gamma Asset Return

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  • Roman V. Ivanov

    (Laboratory of Control under Incomplete Information, Trapeznikov Institute of Control Sciences of RAS, Profsoyuznaya 65, 117997 Moscow, Russia)

Abstract

This paper considers risks of the investment portfolio, which consist of distributed mortgages and sold European call options. It is assumed that the stream of the credit payments could fall by a jump. The time of the jump is modeled by the exponential distribution. We suggest that the returns on stock are variance-gamma distributed. The value at risk, the expected shortfall and the entropic risk measure for this portfolio are calculated in closed forms. The obtained formulas exploit the values of generalized hypergeometric functions.

Suggested Citation

  • Roman V. Ivanov, 2018. "A Credit-Risk Valuation under the Variance-Gamma Asset Return," Risks, MDPI, vol. 6(2), pages 1-25, May.
    • Handle: RePEc:gam:jrisks:v:6:y:2018:i:2:p:58-:d:147258
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    References listed on IDEAS

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    Cited by:

    1. Roman V. Ivanov, 2023. "On the Stochastic Volatility in the Generalized Black-Scholes-Merton Model," Risks, MDPI, vol. 11(6), pages 1-23, June.
    2. C. O. Iroham & M. E. Emetere & H. I. Okagbue & O. Ogunkoya & O. D. Durodola & N. J. Peter & O. M. Akinwale, 2019. "Modified Pricing Model for Negotiation of Mortgage Valuation Between Estate Surveyors and Valuers and Their Clients," Global Journal of Flexible Systems Management, Springer;Global Institute of Flexible Systems Management, vol. 20(4), pages 337-347, December.
    3. Roman V. Ivanov, 2023. "The Semi-Hyperbolic Distribution and Its Applications," Stats, MDPI, vol. 6(4), pages 1-21, October.

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