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Option and Futures Evaluation With Deterministic Volatilities1

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  • Farshid Jamshidian

Abstract

Several risk‐neutral expectation formulae are derived in a general multifactor setting. Specializing to deterministic covariances of returns, they lead to formulae for forward and future prices as well as formulae for options on forward and futures contracts. the results are applicable to currencies, bonds, commodities with stochastic convenience yield, and stock indices. For currencies, a noarbitrage relation between domestic and foreign economies is formulated and applied to evaluate quanto futures and options.

Suggested Citation

  • Farshid Jamshidian, 1993. "Option and Futures Evaluation With Deterministic Volatilities1," Mathematical Finance, Wiley Blackwell, vol. 3(2), pages 149-159, April.
    • Handle: RePEc:bla:mathfi:v:3:y:1993:i:2:p:149-159
    DOI: 10.1111/j.1467-9965.1993.tb00084.x
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    Cited by:

    1. John Crosby, 2008. "A multi-factor jump-diffusion model for commodities," Quantitative Finance, Taylor & Francis Journals, vol. 8(2), pages 181-200.
    2. Samson Assefa, 2007. "Pricing Swaptions and Credit Default Swaptions in the Quadratic Gaussian Factor Model," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 31, July-Dece.
    3. Guiotto, Paolo, 2022. "A note on the spot-forward parity under stochastic cost of carry," Energy Economics, Elsevier, vol. 112(C).
    4. Raphaël Douady, 2013. "Yield Curve Smoothing and Residual Variance of Fixed Income Positions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00666751, HAL.
    5. repec:dau:papers:123456789/5374 is not listed on IDEAS
    6. Farshid Jamshidian, 1997. "LIBOR and swap market models and measures (*)," Finance and Stochastics, Springer, vol. 1(4), pages 293-330.
    7. San-Lin Chung, 2000. "American option valuation under stochastic interest rates," Review of Derivatives Research, Springer, vol. 3(3), pages 283-307, October.
    8. Martzoukos, Spiros H., 2001. "The option on n assets with exchange rate and exercise price risk," Journal of Multinational Financial Management, Elsevier, vol. 11(1), pages 1-15, February.
    9. Samson Assefa, 2007. "Calibration and Pricing in a Multi-Factor Quadratic Gaussian Model," Research Paper Series 197, Quantitative Finance Research Centre, University of Technology, Sydney.
    10. Jamshidian, Farshid, 2008. "Numeraire Invariance and application to Option Pricing and Hedging," MPRA Paper 7167, University Library of Munich, Germany.
    11. Bick, Avi, 2012. "The relationship between reciprocal currency futures prices," Finance Research Letters, Elsevier, vol. 9(4), pages 194-201.
    12. Constantin Mellios, 2001. "Valuation of Interest Rate Options in a Two-Factor Model of the Term Structure of Interest Rate," Working Papers 2001-1, Laboratoire Orléanais de Gestion - université d'Orléans.
    13. Samson Assefa, 2007. "Pricing Swaptions and Credit Default Swaptions in the Quadratic Gaussian Factor Model," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2007, January-A.
    14. Anh Ngoc Lai & Constantin Mellios, 2016. "Valuation of commodity derivatives with an unobservable convenience yield," Post-Print halshs-01183166, HAL.
    15. John Crosby, 2008. "Pricing a class of exotic commodity options in a multi-factor jump-diffusion model," Quantitative Finance, Taylor & Francis Journals, vol. 8(5), pages 471-483.
    16. Topaloglou, Nikolas & Vladimirou, Hercules & Zenios, Stavros A., 2020. "Integrated dynamic models for hedging international portfolio risks," European Journal of Operational Research, Elsevier, vol. 285(1), pages 48-65.
    17. Jamshidian, Farshid, 2007. "Exchange Options," MPRA Paper 4471, University Library of Munich, Germany, revised 14 Aug 2007.

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