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The Calculus of Retirement Income

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  • Milevsky,Moshe A.

Abstract

This 2006 book introduces and develops the basic actuarial models and underlying pricing of life-contingent pension annuities and life insurance from a unique financial perspective. The ideas and techniques are then applied to the real-world problem of generating sustainable retirement income towards the end of the human life-cycle. The role of lifetime income, longevity insurance, and systematic withdrawal plans are investigated in a parsimonious framework. The underlying technology and terminology of the book are based on continuous-time financial economics by merging analytic laws of mortality with the dynamics of equity markets and interest rates. Nonetheless, the book requires a minimal background in mathematics and emphasizes applications and examples more than proofs and theorems. It can serve as an ideal textbook for an applied course on wealth management and retirement planning in addition to being a reference for quantitatively-inclined financial planners.

Suggested Citation

  • Milevsky,Moshe A., 2006. "The Calculus of Retirement Income," Cambridge Books, Cambridge University Press, number 9780521842587.
  • Handle: RePEc:cup:cbooks:9780521842587
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    Cited by:

    1. Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "Valuation and hedging of the ruin-contingent life annuity (RCLA)," Papers 1205.3686, arXiv.org.
    2. Wei-Ting Pan, 2016. "The Impact of Mandatory Savings on Life Cycle Consumption and Portfolio Choice," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 32, June.
    3. Gabay, Daniel & Grasselli, Martino, 2012. "Fair demographic risk sharing in defined contribution pension systems," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 657-669.
    4. Bojan Baškot, 2013. "Modelling Home Equity Conversion Loans With Life Insurance Models," Economic Annals, Faculty of Economics, University of Belgrade, vol. 58(199), pages 127-164, October -.
    5. Ulm, Eric R., 2014. "Analytic solution for ratchet guaranteed minimum death benefit options under a variety of mortality laws," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 14-23.
    6. Petrichev, Konstantin & Thorp, Susan, 2008. "The private value of public pensions," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1138-1145, June.
    7. Tomáš Cipra, 2014. "Pension Demand and Utility: The Life Annuity Puzzle," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 64(3), pages 213-232, June.

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