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Pricing of mountain range derivatives under a principal component stochastic volatility model

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  • Marcos Escobar
  • Pablo Olivares

Abstract

In this paper, a multidimensional stochastic volatility process is introduced. This process is simpler than existing ones in terms of number of parameters while keeping practical stylized facts like stochastic correlation and volatility. The pricing of two mountain range derivatives, Altavista and Everest, is analyzed under this framework, showing sensitivities to parameters, number of eigenvalues, and maturity time. Copyright © 2012 John Wiley & Sons, Ltd.

Suggested Citation

  • Marcos Escobar & Pablo Olivares, 2013. "Pricing of mountain range derivatives under a principal component stochastic volatility model," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 29(1), pages 31-44, January.
  • Handle: RePEc:wly:apsmbi:v:29:y:2013:i:1:p:31-44
    DOI: 10.1002/asmb.936
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    Citations

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    Cited by:

    1. Marcos Escobar & Sebastian Ferrando & Alexey Rubtsov, 2017. "Optimal investment under multi-factor stochastic volatility," Quantitative Finance, Taylor & Francis Journals, vol. 17(2), pages 241-260, February.
    2. Daniela Neykova & Marcos Escobar & Rudi Zagst, 2015. "Optimal investment in multidimensional Markov-modulated affine models," Annals of Finance, Springer, vol. 11(3), pages 503-530, November.
    3. Marcos Escobar & Christoph Gschnaidtner, 2018. "A multivariate stochastic volatility model with applications in the foreign exchange market," Review of Derivatives Research, Springer, vol. 21(1), pages 1-43, April.
    4. Marcos Escobar & Daniel Krause & Rudi Zagst, 2016. "Stochastic covariance and dimension reduction in the pricing of basket options," Review of Derivatives Research, Springer, vol. 19(3), pages 165-200, October.
    5. Wang, Hang & Hu, Zhijun, 2020. "Optimal consumption and portfolio decision with stochastic covariance in incomplete markets," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    6. Marcos Escobar & Sven Panz, 2016. "A Note on the Impact of Parameter Uncertainty on Barrier Derivatives," Risks, MDPI, vol. 4(4), pages 1-25, September.

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