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Various passport options and their valuation

Author

Listed:
  • Hyungsok Ahn
  • Antony Penaud
  • Paul Wilmott

Abstract

The passport option is a call option on the balance of a trading account. The option holder retains the gain from trading, while the writer is liable for the loss. Multi-asset passport options and passport options with discrete constraints are studied. For the first ones the pricing equations are Hamilton-Jacobi-Bellman equations. For those with discrete constraints, a linear complementary problem must be solved in order to price the option. The gain by selling passport options to utility maximizing investors and to investors who guess the market a certain percentage of the time is also examined.

Suggested Citation

  • Hyungsok Ahn & Antony Penaud & Paul Wilmott, 1999. "Various passport options and their valuation," Applied Mathematical Finance, Taylor & Francis Journals, vol. 6(4), pages 275-292.
    • Handle: RePEc:taf:apmtfi:v:6:y:1999:i:4:p:275-292
    DOI: 10.1080/13504869950079293
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    References listed on IDEAS

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    1. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    2. Steven E. Shreve & Jan Vecer, 2000. "Options on a traded account: Vacation calls, vacation puts and passport options," Finance and Stochastics, Springer, vol. 4(3), pages 255-274.
    3. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Josef Teichmann & Hanna Wutte, 2023. "Machine Learning-powered Pricing of the Multidimensional Passport Option," Papers 2307.14887, arXiv.org.
    2. G. Dorfleitner & J. Gerer, 2020. "Time consistent pricing of options with embedded decisions," Review of Derivatives Research, Springer, vol. 23(1), pages 85-119, April.
    3. Peter Buchen & Hamish Malloch, 2014. "CLA's, PLA's and a new method for pricing general passport options," Quantitative Finance, Taylor & Francis Journals, vol. 14(7), pages 1201-1209, July.
    4. Vicky Henderson & David Hobson, 2001. "Passport options with stochastic volatility," Applied Mathematical Finance, Taylor & Francis Journals, vol. 8(2), pages 97-118.

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