Melnikov, Alexander and Skornyakova, Victoria (2004) Pricing of Equity-Linked Life Insurance Contracts with Flexible Guarantees. Technical Report. Concordia University. Department of Mathematics & Statistics, Montreal, Quebec.
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Abstract
The paper deals with a particular class of equity-linked life insurance contracts called "pure endowment with guarantee". In our setting, these contracts are based on two risky assets in a two-factor jump-diffusion market. The first asset is responsible for the maximal size of future profits, while the second one provides a flexible guarantee to the insured. Quantile hedging methodology and Margrabe’s formula are exploited to price such contracts.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Monograph (Technical Report) |
| Authors: | Melnikov, Alexander and Skornyakova, Victoria |
| Series Name: | Department of Mathematics & Statistics. Technical Report No. 1/04 |
| Corporate Authors: | Concordia University. Department of Mathematics & Statistics |
| Institution: | Concordia University |
| Date: | May 2004 |
| Keywords: | Equity-linked life insurance, pure endowment, flexible guarantee,quantile hedging, jump-diffusion model |
| ID Code: | 6605 |
| Deposited By: | ANDREA MURRAY |
| Deposited On: | 03 Jun 2010 15:42 |
| Last Modified: | 08 Dec 2010 18:32 |
| References: | Aase, K. K., and S. A. Persson (1994): Pricing of unit-linked life insurance policies. Scand. Actuar. J. 1, 26-52.
Bacinello, A. R., Ortu F.(1993): Pricing of unit-linked life insurance with endegeneous minimum guarantees. Insurance: Math and Economics 12, 245-257. Bacinello, A. R.(2001): Fiar pricing of life insurance participating policies with a minimum interest rate guaranteed? Astin bulletin, V.31, 2, 275- 297. Bowers, N. L., Gerber, G. C. Hickman, H. U., Jones, D. A. and Nesbit, C. J. (1997): Actuarial Mathematics. Schaumburg, Illinois: The Society of Actuaries. Boyle, P. P., and E. S. Schwartz (1977): Equilibrium prices of guarantees under equity- linked contracts. Journal of Risk and Insurance 44,639-680. Boyle, P. P., and M. R. Hardy (1997): Reserving for maturity guarantees: two approaches. Insurance: Mathematics and Economics 21, 113-127. Brennan, M. J., and E. S. Schwartz (1976): The pricing of equitylinked life insurance policies with an asset value guarantee. J. Financial Economics 3, 195-213. Brennan, M. J., and E. S. Schwartz (1979): Alternative investment strategies for the issuers of equity-linked life insurance with an asset value guarantee. Journal of Business 52, 63-93. Delbaen, F. (1986): Equity-linked policies. Bulletin Association Royal Actuaries Belges,80 33-52. F¨ollmer, H., and P. Leukert (1999): Quantile hedging. Finance Stochast. 3, 251-273. F¨0llmer, H., and P. Leukert (2000): Efficient hedging: cost versus shortfall risk. Finance Stochast. 4, 117-146. F¨ollmer, H., and A. Schied (2002): Stochastic Finance: An introduction in discrete time. Berlin – N. Y: Walter de Gruyter. Krutchenko, R. N. and A., Melnikov (2001): Quantile hedging for a jump-diffusion financial market, Trends in Mathematics, Ed M. Kohlmann, Birkh¨auser Verlag Basel/ Switzerland, 215-229. Margrabe, W. (1978): The value of an option to exchange one asset for another, Journal of finance 33, 177-186. Melnikov, A. V., S. N. Volkov, and M. L. Nechaev (2002): Mathematics of Financial Obligations. Providence, RI: American Math. Soc. Melnikov, A. V. (2003): Risk Analysis in Finance and Insurance. Chapman & Hall/CRC. Moeller, T. (1998): Risk-minimizing hedging strategies for unit-linked life insurance contracts. ASTIN Bulletin 28, 17-47. Moeller, T. (2002): Hedging equity-linked life insurance contracts. North American Actuarial Journal 5, 79-95. Shiryaev, A., N. (1999): Essentials of stochastic Finance, World Scientific. |
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