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Purchasing Term Life Insurance to Reach a Bequest Goal: Time-Dependent Case

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  • Erhan Bayraktar
  • Virginia R. Young
  • David Promislow

Abstract

We consider the problem of how an individual can use term life insurance to maximize the probability of reaching a given bequest goal, an important problem in financial planning. We assume that the individual buys instantaneous term life insurance with a premium payable continuously. By contrast with Bayraktar et al. (2014), we allow the force of mortality to vary with time, which, as we show, greatly complicates the problem.

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  • Erhan Bayraktar & Virginia R. Young & David Promislow, 2015. "Purchasing Term Life Insurance to Reach a Bequest Goal: Time-Dependent Case," Papers 1503.02237, arXiv.org.
    • Handle: RePEc:arx:papers:1503.02237
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    References listed on IDEAS

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    1. Erhan Bayraktar & Virginia Young, 2013. "Life Insurance Purchasing to Maximize Utility of Household Consumption," North American Actuarial Journal, Taylor & Francis Journals, vol. 17(2), pages 114-135.
    2. Bayraktar, Erhan & Promislow, S. David & Young, Virginia R., 2014. "Purchasing life insurance to reach a bequest goal," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 204-216.
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    Cited by:

    1. Angoshtari, Bahman & Bayraktar, Erhan & Young, Virginia R., 2015. "Minimizing the expected lifetime spent in drawdown under proportional consumption," Finance Research Letters, Elsevier, vol. 15(C), pages 106-114.
    2. Asaf Cohen & Virginia R. Young, 2015. "Minimizing Lifetime Poverty with a Penalty for Bankruptcy," Papers 1509.01694, arXiv.org.
    3. Fangyuan Dong & Nick Halen & Kristen Moore & Qinglai Zeng, 2019. "Efficient Retirement Portfolios: Using Life Insurance to Meet Income and Bequest Goals in Retirement," Risks, MDPI, vol. 7(1), pages 1-11, January.
    4. Landriault, David & Li, Bin & Li, Danping & Li, Dongchen, 2016. "A pair of optimal reinsurance–investment strategies in the two-sided exit framework," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 284-294.

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    13. Liang, Xiaoqing & Young, Virginia R., 2018. "Annuitization and asset allocation under exponential utility," Insurance: Mathematics and Economics, Elsevier, vol. 79(C), pages 167-183.

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