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Assessing the Costs of Protection in a Context of Switching Stochastic Regimes

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  • Pauline Barrieu
  • Nadine Bellamy
  • Jean-Michel Sahut

Abstract

We consider the problem of cost assessment in the context of switching stochastic regimes. The dynamics of a given asset include a background noise, described by a Brownian motion and a random shock, the impact of which is characterized by changes in the coefficient diffusions. A particular economic agent that is directly exposed to variations in the underlying asset price, incurs some costs, , when the underlying asset price reaches a certain threshold, L. Ideally, the agent would make advance provision, or hedge, for these costs at time 0. We evaluate the amount of provision, or the hedging premium, , for these costs in the disrupted environment, with changes in the regime for a given time horizon, and analyse the sensitivity of this amount to possible model misspecifications.

Suggested Citation

  • Pauline Barrieu & Nadine Bellamy & Jean-Michel Sahut, 2012. "Assessing the Costs of Protection in a Context of Switching Stochastic Regimes," Applied Mathematical Finance, Taylor & Francis Journals, vol. 19(6), pages 495-511, December.
  • Handle: RePEc:taf:apmtfi:v:19:y:2012:i:6:p:495-511
    DOI: 10.1080/1350486X.2011.642615
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    References listed on IDEAS

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    1. Postali, Fernando A.S. & Picchetti, Paulo, 2006. "Geometric Brownian Motion and structural breaks in oil prices: A quantitative analysis," Energy Economics, Elsevier, vol. 28(4), pages 506-522, July.
    2. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    3. Robert S. Pindyck, 1999. "The Long-Run Evolutions of Energy Prices," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 1-27.
    4. 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.
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    More about this item

    JEL classification:

    • F3 - International Economics - - International Finance
    • G3 - Financial Economics - - Corporate Finance and Governance

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