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Hedging and Reserving for Single-Premium Segregated Fund Contracts

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  • Mary Hardy

Abstract

Three methods for determining suitable provision for maturity guarantees for single-premium segregated fund contracts are compared. Actuarial reserving assumes funds are held in risk-free assets, to give a prescribed probability of meeting the guarantee liability. Dynamic hedging uses the Black-Scholes framework to determine the replicating portfolio. Static hedging assumes a counterparty is willing to sell the options required to meet the guarantee. Using a stochastic cash flow projection, we consider how to assess which approach is most profitable. The example given assumes a typical Canadian segregated fund contract.

Suggested Citation

  • Mary Hardy, 2000. "Hedging and Reserving for Single-Premium Segregated Fund Contracts," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(2), pages 63-74.
    • Handle: RePEc:taf:uaajxx:v:4:y:2000:i:2:p:63-74
    DOI: 10.1080/10920277.2000.10595903
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    Cited by:

    1. Daniel Doyle & Chris Groendyke, 2018. "Using Neural Networks to Price and Hedge Variable Annuity Guarantees," Risks, MDPI, vol. 7(1), pages 1-19, December.
    2. Anne MacKay & Maciej Augustyniak & Carole Bernard & Mary R. Hardy, 2017. "Risk Management of Policyholder Behavior in Equity-Linked Life Insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(2), pages 661-690, June.
    3. Carbonneau, Alexandre, 2021. "Deep hedging of long-term financial derivatives," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 327-340.
    4. Alexandre Carbonneau, 2020. "Deep Hedging of Long-Term Financial Derivatives," Papers 2007.15128, arXiv.org.
    5. Bernard, Carole & Kwak, Minsuk, 2016. "Semi-static hedging of variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 173-186.
    6. Jiang, Ruihong & Saunders, David & Weng, Chengguo, 2023. "Two-phase selection of representative contracts for valuation of large variable annuity portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 293-309.
    7. Kim Changki, 2005. "Surrender Rate Impacts on Asset Liability Management," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 1(1), pages 1-36, June.
    8. Hyounggun Song & Sung Kwon Han & Seung Hwan Jeong & Hee Soo Lee & Kyong Joo Oh, 2019. "Using Genetic Algorithms to Develop a Dynamic Guaranteed Option Hedge System," Sustainability, MDPI, vol. 11(15), pages 1-12, July.
    9. Melnikov, Alexander & Tong, Shuo, 2014. "Quantile hedging on equity-linked life insurance contracts with transaction costs," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 77-88.
    10. Lee, Yung-Tsung, 2015. "A Framework to Charge for Unit-Linked Contracts When Considering Guaranteed Risk," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 5(3), pages 495-509, March.
    11. Gan, Guojun, 2013. "Application of data clustering and machine learning in variable annuity valuation," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 795-801.

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