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General framework for pricing derivative securities

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  • Musiela, Marek

Abstract

This article describes a general methodology that can be used for financial risk management. The approach is based on the model of Heath et al. (1992) of term structure movements but deals with the case of incomplete market. Both, domestic and foreign economies are investigated. Prices of various options are calculated using the forward measure introduced recently by El Karoui and Rochet (1989).

Suggested Citation

  • Musiela, Marek, 1995. "General framework for pricing derivative securities," Stochastic Processes and their Applications, Elsevier, vol. 55(2), pages 227-251, February.
    • Handle: RePEc:eee:spapps:v:55:y:1995:i:2:p:227-251
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    References listed on IDEAS

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    1. McFarland, James W & Pettit, R Richardson & Sung, Sam K, 1982. "The Distribution of Foreign Exchange Price Changes: Trading Day Effects and Risk Measurement," Journal of Finance, American Finance Association, vol. 37(3), pages 693-715, June.
    2. Harrison, J. Michael & Pliska, Stanley R., 1983. "A stochastic calculus model of continuous trading: Complete markets," Stochastic Processes and their Applications, Elsevier, vol. 15(3), pages 313-316, August.
    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.
    4. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    5. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    6. So, Jacky C, 1987. "The Distribution of Foreign Exchange Price Changes: Trading Day Effects and Risk Measurement--A Comment," Journal of Finance, American Finance Association, vol. 42(1), pages 181-188, March.
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    Cited by:

    1. Roncoroni, Andrea & Galluccio, Stefano & Guiotto, Paolo, 2010. "Shape factors and cross-sectional risk," Journal of Economic Dynamics and Control, Elsevier, vol. 34(11), pages 2320-2340, November.
    2. Coutant, Sophie & Jondeau, Eric & Rockinger, Michael, 2001. "Reading PIBOR futures options smiles: The 1997 snap election," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 1957-1987, November.
    3. Alan Brace & Dariusz G¸atarek & Marek Musiela, 1997. "The Market Model of Interest Rate Dynamics," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 127-155, April.
    4. Giuseppe Arbia & Michele Di Marcantonio, 2015. "Forecasting Interest Rates Using Geostatistical Techniques," Econometrics, MDPI, vol. 3(4), pages 1-28, November.
    5. Lie-Jane Kao, 2016. "Credit valuation adjustment of cap and floor with counterparty risk: a structural pricing model for vulnerable European options," Review of Derivatives Research, Springer, vol. 19(1), pages 41-64, April.

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