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Pricing the Option to Surrender in Incomplete Markets

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Author Info

  • Consiglio, Andrea

    ()
    (Department of Statistics and Mathematics “Silvio Vianelli”, University of Palermo,)

  • De Giovanni, Domenico

    ()
    (Department of Business Studies, Aarhus School of Business)

Abstract

New international accounting standards require insurers to reflect the value of embedded options and guarantees in their products. Pric- ing techniques based on the Black & Scholes paradigm are often used, however, the hypotheses underneath this model are rarely met. We propose a framework that encompasses the most known sources of incompleteness. We show that the surrender option, joined with a wide range of claims embedded in insurance contracts, can be priced through our tool, and deliver hedging portfolios to mitigate the risk arising from their positions. We provide extensive empirical analysis to highlight the effect of incompleteness on the fair value of the option

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Bibliographic Info

Paper provided by University of Aarhus, Aarhus School of Business, Department of Business Studies in its series Finance Research Group Working Papers with number F-2007-02.

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Length: 34 pages
Date of creation: 31 Oct 2007
Date of revision:
Handle: RePEc:hhb:aarbfi:2007-02

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Postal: The Aarhus School of Business, Fuglesangs Allé 4, DK-8210 Aarhus V, Denmark
Fax: + 45 86 15 19 43
Web page: http://www.asb.dk/about/departments/bs.aspx
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Related research

Keywords: Life insurance; Policies with minimum guarantee; Option pricing; Incomplete markets; Surrender options;

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References

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  1. Grosen, Anders & Lochte Jorgensen, Peter, 2000. "Fair valuation of life insurance liabilities: The impact of interest rate guarantees, surrender options, and bonus policies," Insurance: Mathematics and Economics, Elsevier, vol. 26(1), pages 37-57, February.
  2. Anand, Amber & Tanggaard, Carsten & Weaver, Daniel G., 2009. "Paying for Market Quality," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(06), pages 1427-1457, December.
  3. David C. Porter & Carsten Tanggaard & Daniel G. Weaver & Wei Yu, 2008. "Dispersed Trading and the Prevention of Market Failure: the Case of the Copenhagen Stock Exchange," European Financial Management, European Financial Management Association, vol. 14(2), pages 243-267.
  4. Weiyu Kuo & Chenghsien Tsai & Wei-Kuang Chen, 2003. "An Empirical Study on the Lapse Rate: The Cointegration Approach," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 70(3), pages 489-508.
  5. Antonio S. Mello & John E. Parsons, 1995. "Maturity Structure Of A Hedge Matters: Lessons From The Metallgesellschaft Debacle," Journal of Applied Corporate Finance, Morgan Stanley, vol. 8(1), pages 106-121.
  6. Kjetil Høyland & Stein W. Wallace, 2001. "Generating Scenario Trees for Multistage Decision Problems," Management Science, INFORMS, vol. 47(2), pages 295-307, February.
  7. Moore, Kristen S. & Young, Virginia R., 2003. "Pricing equity-linked pure endowments via the principle of equivalent utility," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 497-516, December.
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Citations

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Cited by:
  1. Høg, Esben, 2008. "Volatility and realized quadratic variation of differenced returns : A wavelet method approach," Finance Research Group Working Papers F-2008-06, University of Aarhus, Aarhus School of Business, Department of Business Studies.
  2. Eling, Martin & Kochanski, Michael, 2012. "Research on Lapse in Life Insurance – What Has Been Done and What Needs to Be Done?," Working Papers on Finance 1224, University of St. Gallen, School of Finance.
  3. Jørgensen, Peter Løchte & De Giovanni, Domenico, 2008. "Time Charters with Purchase Options in Shipping: Valuation and Risk Management," Finance Research Group Working Papers F-2008-05, University of Aarhus, Aarhus School of Business, Department of Business Studies.

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