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Valuation of finance/insurance contracts: Efficient hedging and stochastic interest rates modeling

Author

Listed:
  • Melnikov, Alexander

    (Department of Mathematical and Statistical Science, University of Alberta, Edmonton, AB, Canada)

  • Tong, Shuo

    (Department of Mathematical and Statistical Science, University of Alberta, Edmonton, AB, Canada)

Abstract

This paper studies the problem of hedging equity-linked life insurance contracts with efficient hedging technique in stochastic interest economy. In our setting, the payoff of life insurance contracts is based on two risky assets, where the return processes are driven by different correlated Wiener processes. The stochastic interest rate is assumed to follow the Heath–Jarrow–Morton framework. We obtain explicit formulas for both the price of a single premium contract and the corresponding survival probability. Moreover, a numerical example illustrates how this efficient hedging technique is applied to manage the balance between financial and insurance risks for a risk-taking insurance company

Suggested Citation

  • Melnikov, Alexander & Tong, Shuo, 2014. "Valuation of finance/insurance contracts: Efficient hedging and stochastic interest rates modeling," Risk and Decision Analysis, IOS Press, issue 5, pages 23-41.
    • Handle: RePEc:ris:iosrda:0002
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    References listed on IDEAS

    as
    1. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
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    5. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
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    More about this item

    Keywords

    Efficient hedging; equity-linked life insurance; stochastic interest rate;
    All these keywords.

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)

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