Portfolio Choice and Mortality-Contingent Claims PDF Download

Author: Huang Huaxiong
Publisher:
ISBN:
Category :
Languages : en
Pages : 24

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Book Description
We solve a portfolio choice problem that includes mortality-contingent claims and labor income under general HARA preferences. Our contribution beyond existing literature is to (i) focus on the covariance between shocks to human capital and financial capital, to (ii) model the utility of a family with basic needs, (iii) include life insurance and pension annuity claims in one unified life-cycle model. Our solution employs a similarity reduction mapping which reduces the two dimensional HJB equation into one dimension. This allows for the implementation of a quick numerical scheme. And, when shocks to human capital and financial capital are perfectly correlated, a closed-form expression is obtained as a special case.

Author: Moshe A. Milevsky
Publisher:
ISBN:
Category :
Languages : en
Pages : 67

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Book Description
Tontines and life annuities both insure against longevity risk by guaranteeing (pension) income for life. The optimal choice between these two mortality-contingent claims depends on personal preferences for consumption and risk. And, while pure tontines are unavailable in the twenty-first century, the first longevity-contingent claim (and debt) issued by the English government in the late seventeenth century offered an option to select between the two. This paper analyzes financial and economic aspects of King William's 1693 tontine that have not received attention in the financial economic literature. In particular, I compare the stochastic present value (SPV) of the tontine vs. the life annuity and discuss characteristics of investors who selected one versus the other. Finally, I investigate whether the recorded 1693 tontine survival rates -- which are abnormally high relative to population mortality rates in the late 17th century -- should be attributed to anti-selection effects or perhaps to fraudulent behaviour. In sum, this paper is an empirical examination of annuitization decisions made by investors over three hundred years ago.

Author: Shang Wu
Publisher:
ISBN:
Category :
Languages : en
Pages : 41

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Book Description
Whereas there is ample evidence that life-contingent income products (life annuities) have the potential to improve individual welfare, combining them with health-contingent income products (resulting in so-called life care annuities) would serve to further increase welfare for individuals who are exposed to uncertain out-of-pocket healthcare expenditure later in life. We develop a life-cycle model of annuitization, consumption, and investment decisions for a single retired individual who faces stochastic capital market returns, uncertain health status, differential mortality risks, and uncertain out-of-pocket healthcare expenditure with cost of dying. Using the calibrated model, we show that individuals who are eligible to purchase life care annuities instead of standard life annuities increase their level of annuitization by around 12 percentage points. Health status at retirement affects the extent to which the insurance feature and the pricing advantage of life care annuities contribute to this increment, with end-of-life healthcare expenditure being of particular importance. Also, life care annuities allow individuals to consume more throughout their retirement and to invest a higher proportion of their liquid wealth in the risky asset. They are willing to pay a loading up to 21% for having access to life care annuities.

Author: Moshe A. Milevsky
Publisher:
ISBN:
Category :
Languages : en
Pages : 31

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Book Description
Most U.S.-based insurance companies offer holders of their tax-sheltered savings plans (VAs), the long-term option to annuitize their policy at a pre-determined rate over a pre-specified period of time. Currently, there is approximately one trillion dollars invested in such policies, with guaranteed annuitization rates, in addition to any guaranteed minimum death benefit. The insurance company has essentially granted the policyholder an option on two underlying stochastic variables; future interest rates and future mortality rates. Although the (put) option on interest rates is obvious, the (put) option on mortality rates is not. Motivated by this product, this paper attempts to value (options on) mortality-contingent claims, by stochastically modelling the future hazard-plus-interest rate.Heuristically, we treat the underlying life annuity as a defaultable coupon-bearing bond, where the default occurs at the exogenous time of death. From an actuarial perspective, rather than considering the force of mortality (hazard rate) at time-t for a person now age-x, as a number, we view it as a random variable forward rate,whose expectation is the force of mortality in the classical sense.Our main qualitative observation is that both mortality and interest rate risk can be hedged, and the option to annuitize can be priced by locating a replicating portfolio involving insurance, annuities and default-free bonds. We provide both a discrete and continuous-time pricing framework.

Author: Tomas J. Philipson
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 26

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Book Description

Author: Narat Charupat
Publisher: Cambridge University Press
ISBN: 0521764564
Category : Business & Economics
Languages : en
Pages : 383

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Book Description
This is a final-year college level textbook on personal finance, jointly written by business school and mathematics professors. It is aimed at a wide audience of people who are interested in wealth management from a more rigorous perspective. It may be used in both personal applications and professional classrooms.

Author: Francesco Menoncin
Publisher: Springer Nature
ISBN: 3030555283
Category : Business & Economics
Languages : en
Pages : 239

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Book Description
This book presents a consistent and complete framework for studying the risk management of a pension fund. It gives the reader the opportunity to understand, replicate and widen the analysis. To this aim, the book provides all the tools for computing the optimal asset allocation in a dynamic framework where the financial horizon is stochastic (longevity risk) and the investor's wealth is not self-financed. This tutorial enables the reader to replicate all the results presented. The R codes are provided alongside the presentation of the theoretical framework. The book explains and discusses the problem of hedging longevity risk even in an incomplete market, though strong theoretical results about an incomplete framework are still lacking and the problem is still being discussed in most recent literature.

Author: Horand Gassmann
Publisher: World Scientific
ISBN: 981440750X
Category : Business & Economics
Languages : en
Pages : 549

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Book Description
This book shows the breadth and depth of stochastic programming applications. All the papers presented here involve optimization over the scenarios that represent possible future outcomes of the uncertainty problems. The applications, which were presented at the 12th International Conference on Stochastic Programming held in Halifax, Nova Scotia in August 2010, span the rich field of uses of these models. The finance papers discuss such diverse problems as longevity risk management of individual investors, personal financial planning, intertemporal surplus management, asset management with benchmarks, dynamic portfolio management, fixed income immunization and racetrack betting. The production and logistics papers discuss natural gas infrastructure design, farming Atlantic salmon, prevention of nuclear smuggling and sawmill planning. The energy papers involve electricity production planning, hydroelectric reservoir operations and power generation planning for liquid natural gas plants. Finally, two telecommunication papers discuss mobile network design and frequency assignment problems.

Author: Moshe A. Milevsky Ph.D.
Publisher: FT Press
ISBN: 0133115321
Category : Business & Economics
Languages : en
Pages : 282

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Book Description
You must be aware of the value, potential return and risk of your own human capital (your job, career and what you do for a living as opposed to stocks and bonds or other investment choices) as well as financial capital and investments to plan a secure future. Human capital is the most valuable asset that you will own over your lifecycle. You need to balance all financial decisions with the characteristics of your human capital. The key trends identified in the first edition of the book namely, the decline of Defined Benefit (DB) pension provision, the continued increase in human longevity and the risk of personal inflation, are as relevant today as they were five years ago. The financial crisis has taught us that all types of capital – human, financial and even social – are key to a secure financial future. If your career has "stock-like" growth and risk characteristics, Milevsky helps you balance your "portfolio" by tilting investments towards safer "bonds." If your job is more secure but offers lower financial upside, you'll learn to tilt your investments towards stocks that compensate for your lower earning potential. Either way, Milevsky shows you how to integrate investments, insurance, annuities, and retirement plans to generate the safe and reliable income you'll need. This Edition's updates include: New 2012 data, charts, figures, and references More coverage of incorporating "human capital" into financial planning Advice reflecting the aftermath of the financial crisis Easier, more usable techniques, and less math!

Author: Moshe Milevsky
Publisher: FT Press
ISBN: 0133742369
Category : Business & Economics
Languages : en
Pages : 689

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Book Description
You must be aware of the value, potential return and risk of your human capital: your job, career and what you do for a living. Human capital is the most valuable asset that you will own over your lifecycle. You need to balance financial decisions with the characteristics of your human capital. The key trends identified in Are You a Stock or a Bond? include the decline of Defined Benefit (DB) pension provision, the continued increase in human longevity and the risk of personal inflation, and they are as relevant today as they were five years ago. The financial crisis has taught us that all types of capital -- human, financial and even social -- are key to a secure financial future. If your career has "stock-like" growth and risk characteristics, Milevsky helps you balance your "portfolio" by tilting investments towards safer "bonds." ¿ Saving for Retirement will relieve confusion and barriers to action. It acquaints readers with people like them, and step-by-step addresses what's likely confusing them. Instead of starting with some lofty financial planning theory, it walks individuals through the process everyone goes through with IRAs and 401 (k)s -- leaving no basic questions unanswered. Instead of telling readers to open an IRA-as many books do-it tells them how to open one: where to go, what the forms mean, how to decide how to invest, the essential first steps. The book removes everything from the reader's path that typically trips people up and hits the sweet spot for everyone from aged 18 to 60. Using new figures (including troubling new projections of healthcare and long-term care costs), she helps readers calculate exactly how much money they'll need. Next, she presents optimal asset allocations for each stage of life -- and shows how these allocations would've protected typical investors through the past five tumultuous years. Packed with her readers' personal stories, this book teaches powerful professional financial planning principles -- but makes them simple enough for anyone to apply on their own.