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Pricing of compound exchange options

Author

Listed:
  • Becsky-Nagy, Patrícia
  • Száz, János
  • Vidovics-Dancs, Ágnes
  • Váradi, Kata

Abstract

This paper investigates the valuation of a novel financial derivative, the Compound Exchange option, which gives the holder the right to exchange two European call options with different underlying assets. Combining features of rainbow-, and compound options, a new class of exotic option is established. A closed-form pricing formula is derived for this novel option with underlying assets that have nonlinear payoffs, requiring a modification of the classic Margrabe framework. Probabilities and risk-neutral expected values under various scenarios are also calculated. The study contributes to the theory of exotic option pricing, providing practical insights for practitioners, academics, and risk managers.

Suggested Citation

  • Becsky-Nagy, Patrícia & Száz, János & Vidovics-Dancs, Ágnes & Váradi, Kata, 2025. "Pricing of compound exchange options," Finance Research Letters, Elsevier, vol. 85(PC).
  • Handle: RePEc:eee:finlet:v:85:y:2025:i:pc:s1544612325012875
    DOI: 10.1016/j.frl.2025.108029
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    References listed on IDEAS

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    1. Aliu, Florin, 2024. "Do infectious diseases explain Bitcoin price Fluctuations?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 93(C).
    2. Kim, Young Shin & Stoyanov, Stoyan & Rachev, Svetlozar & Fabozzi, Frank J., 2019. "Enhancing binomial and trinomial equity option pricing models," Finance Research Letters, Elsevier, vol. 28(C), pages 185-190.
    3. Lian, Yu-Min & Chen, Jun-Home & Liao, Szu-Lang, 2016. "Option pricing on foreign exchange in a Markov-modulated, incomplete-market economy," Finance Research Letters, Elsevier, vol. 16(C), pages 208-219.
    4. Jana, T.K. & Roy, P., 2011. "Supersymmetry in option pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2350-2355.
    5. Stulz, ReneM., 1982. "Options on the minimum or the maximum of two risky assets : Analysis and applications," Journal of Financial Economics, Elsevier, vol. 10(2), pages 161-185, July.
    6. repec:bla:jfinan:v:43:y:1988:i:5:p:1235-56 is not listed on IDEAS
    7. Johnson, Herb, 1987. "Options on the Maximum or the Minimum of Several Assets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(3), pages 277-283, September.
    8. 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.
    9. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    10. Srisht Fateh Singh & Vladyslav Nekriach & Panagiotis Michalopoulos & Andreas Veneris & Jeffrey Klinck, 2025. "Option Contracts in the DeFi Ecosystem: Opportunities, Solutions, and Technical Challenges," International Journal of Network Management, John Wiley & Sons, vol. 35(2), March.
    11. Yufeng Shi & Bin Teng & Sicong Wang, 2025. "Option pricing mechanisms driven by backward stochastic differential equations," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 11(1), pages 1-19, December.
    12. Giovanni Villani, 2007. "A Monte Carlo approach to value exchange options using a single stochastic factor," Quaderni DSEMS 08-2007, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    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.
    14. Jana, T.K. & Roy, P., 2012. "Pseudo Hermitian formulation of the quantum Black–Scholes Hamiltonian," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2636-2640.
    15. McDonald, Robert L & Siegel, Daniel R, 1985. "Investment and the Valuation of Firms When There Is an Option to Shut Down," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 331-349, June.
    16. P G Zhang, 1997. "Exotic Options:A Guide to Second Generation Options," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 2713.
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    Keywords

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    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

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