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Dynamic Hedging Strategies Based on Changing Pricing Parameters for Compound Ratchets

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  • Gaillardetz Patrice

    (Mathematics and Statistics, Concordia University, MontrealH3G 1M8, Canada)

  • El Khoury Samia

    (Capital & Modeling Segregated Funds, Manulife Financial Corp, Montreal, Canada)

Abstract

Equity-Indexed Annuity products (EIAs) are becoming increasingly popular as they are accumulation vehicles that offer participation in the equity market growth while keeping the initial capital protected. This paper focuses in particular on a special type of EIAs; the Compound Ratchet (CR). Sellers of this product retain the right to change one of the pricing parameters on each contract anniversary date while promising not to cross a certain predetermined threshold. Changing these parameters can sometimes have an impact on the value of the EIA, which makes them interesting to study. In order to reproduce the pattern of these changing parameters, a new approach of dynamically hedging the CR EIA and simultaneously protecting the issuer from hedging risk is proposed and tested. Trading can only be done in discrete time, which produces hedging errors. Therefore, the new approach is applied to transfer these errors from the issuer to the buyer by dynamically changing the pricing parameters. The distribution of these parameters is extracted and analyzed.

Suggested Citation

  • Gaillardetz Patrice & El Khoury Samia, 2020. "Dynamic Hedging Strategies Based on Changing Pricing Parameters for Compound Ratchets," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 14(1), pages 1-15, January.
    • Handle: RePEc:bpj:apjrin:v:14:y:2020:i:1:p:15:n:8
    DOI: 10.1515/apjri-2019-0006
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    References listed on IDEAS

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    1. Lee, Hangsuck, 2003. "Pricing equity-indexed annuities with path-dependent options," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 677-690, December.
    2. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    3. Brennan, Michael J. & Schwartz, Eduardo S., 1976. "The pricing of equity-linked life insurance policies with an asset value guarantee," Journal of Financial Economics, Elsevier, vol. 3(3), pages 195-213, June.
    4. Serena Tiong, 2000. "Valuing Equity-Indexed Annuities," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(4), pages 149-163.
    5. Patrice Gaillardetz & Joe Youssef Lakhmiri, 2011. "A New Premium Principle for Equity‐Indexed Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 78(1), pages 245-265, March.
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