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The Calculus of Retirement Income
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  • 93 tables
  • Page extent: 336 pages
  • Size: 228 x 152 mm
  • Weight: 0.62 kg

Library of Congress

  • Dewey number: 368.3/701
  • Dewey version: 22
  • LC Classification: HD7105.3 .M54 2006
  • LC Subject headings:
    • Old age pensions--Mathematical models
    • Annuities--Mathematical models
    • Retirement income--Mathematical models

Library of Congress Record

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 (ISBN-13: 9780521842587 | ISBN-10: 0521842581)

DOI: 10.2277/0521842581

Manufactured on demand: supplied direct from the printer

 (Stock level updated: 16:10 GMT, 25 November 2015)


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.

• Develops an accessible framework for retirement income planning • Contains extensive examples and real-world data illustrating how the ideas presented are applied in actual retirement planning • Can be used as a textbook or foundation for an advanced course on insurance or financial planning for academics


Preface; Part I. Models of Actuarial Finance: 1. Introduction and motivation; 2. Modeling the human life-cycle; 3. Models of human mortality; 4. Valuation models of deterministic interest; 5. Models of risky financial investments; 6. Models of pension life annuities; 7. Models of life insurance; 8. Models of DB vs. DC pensions; Part II. Wealth Management Applications and Implications: 9. Sustainable spending at retirement; 10. Longevity insurance revisited; Part III. Advanced Topics: 11. Options within variable annuities; 12. The utility of annuitization; 13. Book conclusions; Appendices.


'This very readable book is a landmark in the area of life insurance, pensions and long risk analysis. Integrating actuarial and financial approaches, the book provides an approach which is both theoretically elegant and practical in applications. It is highly recommended for both academics and those in industry.' Michael Orszag, Watson Wyatt

'Millions of baby boomers turning 60 have suddenly awakened to the need to protect their retirement futures. The Calculus of Retirement Income is a useful tool for those devising sensible financial plans and helping manage wealth in the face of capital market and mortality risk. Witty, serious, and entertaining at the same time, the volume will be an invaluable resource for actuarial and financial students, practitioners, and researchers interested in actuarial and financial strategies to avoid ruin.' Olivia S. Mitchell, The Wharton School

'This is a wonderful reference book for anyone interested in the quantitative modeling of pensions and retirement income. I plan to use it in the course in advanced topics in investing that I teach to MBAs at Boston University.' Zvi Bodie, Boston University

'Almost everyone needs to plan for retirement. But investment planners and actuaries can rarely share their expertise. Moshe Milevsky mathematically puts it altogether, while still making his book accessible to students and quantitatively oriented professionals. Wonderful as a text or reference book!' Roger Ibbotson, Chairman of Ibbotson Associates and Yale University

'… a book any serious financial advisor should read.' National Post (Toronto)

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