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Analytical valuation of power exchange options with default risk

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  • Xu, Guangli
  • Shao, Xinjian
  • Wang, Xingchun

Abstract

In this paper, we provide an analytical valuation formula for power exchange options with default risk. The proposed model not only considers the correlations among the two underlying assets and the asset of the counterparty, but also allows for the possible default prior to the maturity of the option. We decompose the risk of all assets into idiosyncratic and systematic parts. By means of the measure-change technique, we obtain a pricing formula for power exchange options with default risk. Finally, numerical results are presented to show the power exchange option values.

Suggested Citation

  • Xu, Guangli & Shao, Xinjian & Wang, Xingchun, 2019. "Analytical valuation of power exchange options with default risk," Finance Research Letters, Elsevier, vol. 28(C), pages 265-274.
    • Handle: RePEc:eee:finlet:v:28:y:2019:i:c:p:265-274
    DOI: 10.1016/j.frl.2018.05.007
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    1. Carmona, Julio & León, Angel & Vaello-Sebastià, Antoni, 2011. "Pricing executive stock options under employment shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 97-114, January.
    2. S. Fischer, 1977. "Call Option Pricing When the Exercise Price Is Uncertain and the Valuation of Index Bonds," Working papers 206, Massachusetts Institute of Technology (MIT), Department of Economics.
    3. Johnson, Herb & Stulz, Rene, 1987. "The Pricing of Options with Default Risk," Journal of Finance, American Finance Association, vol. 42(2), pages 267-280, June.
    4. Hui Chen, 2010. "Macroeconomic Conditions and the Puzzles of Credit Spreads and Capital Structure," Journal of Finance, American Finance Association, vol. 65(6), pages 2171-2212, December.
    5. Blenman, Lloyd P. & Clark, Steven P., 2005. "Power exchange options," Finance Research Letters, Elsevier, vol. 2(2), pages 97-106, June.
    6. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    7. Benjamin Yibin Zhang & Hao Zhou & Haibin Zhu, 2009. "Explaining Credit Default Swap Spreads with the Equity Volatility and Jump Risks of Individual Firms," The Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5099-5131, December.
    8. Fischer, Stanley, 1978. "Call Option Pricing when the Exercise Price Is Uncertain, and the Valuation of Index Bonds," Journal of Finance, American Finance Association, vol. 33(1), pages 169-176, March.
    9. Xingchun Wang & Shiyu Song & Yongjin Wang, 2017. "The Valuation of Power Exchange Options with Counterparty Risk and Jump Risk," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 37(5), pages 499-521, May.
    10. Wang, Xingchun, 2016. "Pricing power exchange options with correlated jump risk," Finance Research Letters, Elsevier, vol. 19(C), pages 90-97.
    11. Klein, Peter, 1996. "Pricing Black-Scholes options with correlated credit risk," Journal of Banking & Finance, Elsevier, vol. 20(7), pages 1211-1229, August.
    12. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    13. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-186, March.
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    Cited by:

    1. Xingchun Wang, 2020. "Analytical valuation of Asian options with counterparty risk under stochastic volatility models," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(3), pages 410-429, March.
    2. Zaevski, Tsvetelin S. & Kounchev, Ognyan & Savov, Mladen, 2019. "Two frameworks for pricing defaultable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 309-319.
    3. Geonwoo Kim, 2020. "Valuation of Exchange Option with Credit Risk in a Hybrid Model," Mathematics, MDPI, vol. 8(11), pages 1-11, November.
    4. Xin‐Jiang He & Sha Lin, 2023. "Analytically pricing exchange options with stochastic liquidity and regime switching," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(5), pages 662-676, May.
    5. Yun, Ana & Kim, Geonwoo, 2025. "Valuing options with hybrid default risk under the stochastic volatility model," Finance Research Letters, Elsevier, vol. 72(C).
    6. Wang, Xingchun, 2022. "Pricing vulnerable options with stochastic liquidity risk," The North American Journal of Economics and Finance, Elsevier, vol. 60(C).
    7. Afhami, Bahareh & Rezapour, Mohsen & Madadi, Mohsen & Maroufy, Vahed, 2023. "A comonotonic approximation to optimal terminal wealth under a multivariate Merton model with correlated jump risk," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    8. Zhang, Jiayi & Zhou, Ke, 2025. "Pricing options on the maximum or the minimum of several assets with default risk," The North American Journal of Economics and Finance, Elsevier, vol. 75(PA).
    9. Wang, Xingchun, 2019. "Valuation of new-designed contracts for catastrophe risk management," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
    10. Li, Zelei & Wang, Xingchun, 2020. "Valuing spread options with counterparty risk and jump risk," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).

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    More about this item

    Keywords

    Power exchange option; Default risk; Systematic risk; Idiosyncratic risk;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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