Hedging and reserving for single-premium segregated fund contracts. (English) Zbl 1083.91518

Summary: 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.


91B28 Finance etc. (MSC2000)
91B30 Risk theory, insurance (MSC2010)
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[1] Bacinello A.R, Insurance: Mathematics and Economics 12 pp 245– (1993) · Zbl 0778.62093
[2] Boyle P.P, Reserving for Maturity Guarantees (1996)
[3] Boyle P.P, Insurance: Mathematics and Economics 21 pp 113– (1998) · Zbl 0894.90044
[4] Boyle P.P, Journal of Risk and Insurance 44 (4) pp 639– (1977)
[5] Boyle P.P, Journal of Financial Economics 8 pp 259– (1980)
[6] Brennan M.J, Journal of Financial Economics 3 pp 195– (1976)
[7] Brennan M.J, Pricing and Investment Strategies for Guaranteed Equity-Linked Life Insurance (1979)
[8] Hardy M.R, Maturity Guarantees for Segregated Fund Contracts: Hedging and Reserving (1999)
[9] Lewin C, British Actuarial Journal 1 pp 155– (1995)
[10] Maturity Guarantees Working Party, Journal of the Institute of Actuaries 107 pp 103– (1980)
[11] Wilkie A.D, Transactions of the Faculty of Actuaries 39 pp 341– (1986)
[12] Wilkie A.D, British Actuarial Journal 1 pp 777– (1995)
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