Skip to content
Register Sign in Wishlist
The Calculus of Retirement Income

The Calculus of Retirement Income
Financial Models for Pension Annuities and Life Insurance

$72.99 (P)

  • Date Published: March 2006
  • availability: Available
  • format: Hardback
  • isbn: 9780521842587

$ 72.99 (P)

Add to cart Add to wishlist

Other available formats:

Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • 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
    Read more

    Reviews & endorsements

    "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

    "Dr. Moshe Milevsky has just published a book any serious financial advisor should read...Milevsky has long been one of the most compelling theorists on calculating the odds of outliving one's money...this book should make the average financial professional feel humble. In contrast to the knee-jerk platitudes so many industry members dispense to clients, Milevsky delivers page after page of solid financial analysis. Even those who can follow the math will be hard-pressed to answer the problems he poses at the end of each chapter." -Jonathan Chevreau, Financial Post

    "...this book has a unique approach in that it normatively explores how to structure financial issues during the retirement period...This volume is a must-have for anyone interested in quantitative financial planning." -Raimond Maurer and Wolfram Horneff, Journal of Pension Economics and Finance

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: March 2006
    • format: Hardback
    • isbn: 9780521842587
    • length: 336 pages
    • dimensions: 232 x 160 x 12 mm
    • weight: 0.57kg
    • contains: 93 tables
    • availability: Available
  • Table of Contents

    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

  • Resources for

    The Calculus of Retirement Income

    Moshe A. Milevsky

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    *This title has one or more locked files and access is given only to instructors adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.

    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email

  • Author

    Moshe A. Milevsky, York University, Toronto
    Moshe A. Milevsky is Associate Professor of Finance at the Schulich School of Buisness at York University and the Executive Director of the IFID Centre in Toronto, Canada. He was elected as a Fellow of the Fields Institute in 2002. Professor Milevsky is co-founding editor of the Journal of Pension Economics and Finance, published by Cambridge University Press, and has published more than thirty scholarly articles in addition to three books. His popular media writing received a National Magazine Award in Canada in 2004. He has lectured widely on the topic of retirement income planning, insurance and investments in North America, South America and Europe, and is a frequent guest on North American television and radio.

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.