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Pricing the Option to Surrender in Incomplete Markets

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  • Andrea Consiglio
  • Domenico De Giovanni

Abstract

New international accounting standards require insurers to reflect the value of embedded options and guarantees in their products. Pricing techniques based on the Black and 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.

Suggested Citation

  • Andrea Consiglio & Domenico De Giovanni, 2010. "Pricing the Option to Surrender in Incomplete Markets," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(4), pages 935-957, December.
    • Handle: RePEc:bla:jrinsu:v:77:y:2010:i:4:p:935-957
    DOI: 10.1111/j.1539-6975.2010.01358.x
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    Cited by:

    1. Consiglio, Andrea & Zenios, Stavros A., 2018. "Pricing and hedging GDP-linked bonds in incomplete markets," Journal of Economic Dynamics and Control, Elsevier, vol. 88(C), pages 137-155.
    2. Mathias Barkhagen & Jörgen Blomvall, 2016. "Modeling and evaluation of the option book hedging problem using stochastic programming," Quantitative Finance, Taylor & Francis Journals, vol. 16(2), pages 259-273, February.
    3. Martin Eling & Michael Kochanski, 2013. "Research on lapse in life insurance: what has been done and what needs to be done?," Journal of Risk Finance, Emerald Group Publishing Limited, vol. 14(4), pages 392-413, August.
    4. Peter Løchte Jørgensen & Domenico De Giovanni, 2010. "Time Charters with Purchase Options in Shipping: Valuation and Risk Management," Applied Mathematical Finance, Taylor & Francis Journals, vol. 17(5), pages 399-430.
    5. 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.
    6. Consiglio, Andrea & Tumminello, Michele & Zenios, Stavros A., 2015. "Designing and pricing guarantee options in defined contribution pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 267-279.
    7. Lu Yu & Jiang Cheng & Tzuting Lin, 2019. "Life insurance lapse behaviour: evidence from China," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(4), pages 653-678, October.
    8. Russo, Vincenzo & Giacometti, Rosella & Fabozzi, Frank J., 2017. "Intensity-based framework for surrender modeling in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 189-196.
    9. Francesca Biagini & Tobias Huber & Johannes G. Jaspersen & Andrea Mazzon, 2021. "Estimating extreme cancellation rates in life insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(4), pages 971-1000, December.

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