Mortality and Early Growth in England, France and Sweden

We set up a stochastic open‐economy growth model with endogenous fertility and mortality. A three‐country version of the model is calibrated to pre‐industrial mortality data from England, France and Sweden. By fitting parameters to match observed rates of correlation in mortality rates, the model can also account for differences in both the volatility of mortality rates and the timing of the Industrial Revolution.     

A closer look at the relationship between life expectancy and economic growth

We first provide a nonparametric inference of the relationship between life expectancy and economic growth using historical data for 18 countries over the period 1820–2005. The obtained shape indicates convexity for low enough values of life expectancy and concavity for large enough values. We then study this relationship using a benchmark model combining "perpetual youth" and learning-by-investing. The generated relationship between life expectancy and economic growth is shown to be strictly increasing and concave. We finally examine two models departing from "perpetual youth" by assuming successively age-dependent earnings and age-dependent survival probabilities. With age-dependent earnings, the obtained relationship is hump-shaped, whereas age-dependent survival laws reproduce the convex–concave shape detected in prior empirical study.     

Disentangling the Poverty Effects of Sectoral Output,Prices, and Policies in India

This paper attempts to disentangle the poverty effects of key policy variables that directly affect the poor (namely the government‐led channel of development spending and financing) in both agricultural and non‐agricultural sectors after accounting for the effect of respective sectoral per capita income and prices, using data from India over five decades. The paper emphasizes the sectoral composition of income and prices as mechanisms influencing the level of poverty and establishes empirically that it is the rise in non‐agricultural per capita income that reduces rural poverty via the channel of internal migration, after having controlled for the variation in key components of fiscal spending and monetary/financial policy via the availability of credit. Uneven sectoral growth pattern explains why urban poverty becomes a spill‐over of persistent rural poverty when the agricultural sector shrinks. While checking for robustness, there is evidence that the rise in non‐agricultural income alone may not reduce rural poverty, when measured in terms of rural infant mortality rate as a non‐income indicator of well‐being.     

The Lee-Carter quantile mortality model

The Lee-Carter (LC) stochastic mortality model has been widely used for making future projections of mortality rates. In the framework of the LC model, the response function is non-linear in parameters. Here, we adapt this LC framework to compute conditional quantiles. The LC quantile model can be defined as quantile non-linear regression conditioned to age and the calendar year. Two strategies for estimating coefficients based on interior-point methods are described. We show that the LC quantile model provides additional information to that furnished by the traditional LC conditional mean. An application to Spanish mortality data is reported.     

Empirics of health-aid,education and infant mortality: a semiparametric study

The present article uses semiparametric regression to capture the impact of foreign-aid given for health purposes on the Infant Mortality Rate (IMR) of poor developing countries, after controlling for other covariates. We also investigate whether education (general awareness) helps lower IMR directly or helps improve effectiveness of health-aid in reducing IMR. In addition, the study investigates whether various disaggregated components of health-aid (for example, aid that goes for infectious disease control or nutrition) help lower IMR. We find that although adult education (awareness) always lowers IMR, the overall effect of health-aid remains insignificant. Our conclusion is robust to various disaggregated components of health-aid as well. We also check if health-aid has improved prenatal care for expecting mothers but our conclusion regarding the overall ineffectiveness of aid remains unchanged. Interestingly, we find that total health-aid as well as nutrition aid may lower IMR only after education exceeds a threshold level – a new angle that has not been explicitly explored before. We also find interesting role of education in making the aid more effective for prenatal care. Our semiparametric nonlinear estimation strategy helps us unravel certain interesting thresholds and facts which cannot be captured in a linear parametric estimation framework.     

Lifetime asset allocation with idiosyncratic and systematic mortality risks

This paper considers a lifetime asset allocation problem with both idiosyncratic and systematic mortality risks. The novelty of the paper is to integrate stochastic mortality, stochastic interest rate and stochastic income into a unified framework. An investor, who is a wage earner receiving a stochastic income, can invest in a financial market, consume part of his wealth and purchase life insurance or annuity so as to maximize the expected utility from consumption, terminal wealth and bequest. The problem is solved via the dynamic programming principle and the Hamilton–Jacobi–Bellman equation. Analytical solutions to the problem are derived, and numerical examples are provided to illustrate our results. It is shown that idiosyncratic mortality risk has significant impacts on the investor’s investment, consumption, life insurance/annuity purchase and bequest decisions regardless of the length of the decision-making horizon. The systematic mortality risk is largely alleviated by trading the longevity bond. However, its impacts on consumption, purchase of life insurance/annuity and bequest as well as the value function are still pronounced, when the decision-making horizon is sufficiently long.     

Implementing QALYs in the Analysis of Air Pollution Regulations

In recent years, there has been growing interest in cost-effectiveness analysis for environmental regulations using quality-adjusted life years as the measure of effectiveness. This paper explores the implications of the QALY approach for measuring the impacts of air pollution regulations, with an example using the U.S. Environmental Protection Agency’s Heavy Duty Engine/Diesel Fuel regulations. The paper also examines the issues surrounding the potential use of QALY measures in cost-benefit analysis for air pollution regulations. Key findings are that, compared with a cost-benefit approach, the QALY framework gives more weight to reductions in incidence of chronic disease relative to reductions in premature mortality risk, especially when the mortality risk reductions occur in older populations. In addition, use of monetized QALYs in cost-benefit analysis is not recommended, due to fundamental differences in the theoretical grounding of the different measures. However, application of monetized QALYs based on age-specific willingness to pay (WTP) for mortality risk reductions gives very similar results to typical cost-benefit analysis for mortality risk reductions, as opposed to using values for QALYs based on non-age specific WTP. The paper concludes that in cases where mortality provide the majority of a regulation’s impacts, QALY based cost-effectiveness analysis and WTP based cost-benefit analysis may not differ in their conclusions. However, in cases where morbidity or non-health outcomes are significant, cost-effectiveness and cost-benefit analysis may result in different evaulations of the efficiency of the regulation.     

Expected widowhood duration varies with socio-economic status

This article examines the expected duration of widowhood and its variation by socio-economic status (SES). The relationship between widowhood duration (WD) and SES and how they relate to annuitization and longevity risk is relevant in the light of ongoing changes in many pension systems. Using data from Ireland, WD is estimated for older married individuals, as a function of spousal age gap and spousal longevity gap. Both of the gaps are negatively correlated with SES. Thus, WD is negatively correlated with SES. Wives in the bottom of the SES distribution have the highest degree of annuitization, protecting them against longevity risk brought about by a higher WD. The movement towards less automatic annuitization may impact future widows differently, depending on their SES.     

Modelling and management of mortality risk: a review

In the first part of the paper, we consider the wide range of extrapolative stochastic mortality models that have been proposed over the last 15–20 years. A number of models that we consider are framed in discrete time and place emphasis on the statistical aspects of modelling and forecasting. We discuss how these models can be evaluated, compared and contrasted. We also discuss a discrete-time market model that facilitates valuation of mortality-linked contracts with embedded options. We then review several approaches to modelling mortality in continuous time. These models tend to be simpler in nature, but make it possible to examine the potential for dynamic hedging of mortality risk. Finally, we review a range of financial instruments (traded and over-the-counter) that could be used to hedge mortality risk. Some of these, such as mortality swaps, already exist, while others anticipate future developments in the market.     

The fair value of guaranteed annuity options

We discuss the fair valuation of Guaranteed Annuity Options, i.e. options providing the right to convert deferred survival benefits into annuities at fixed conversion rates. The use of doubly stochastic stopping times and of affine processes provides great computational and analytical tractability, while enabling to set up a very general valuation framework. For example, the valuation of options on traditional, unit-linked or indexed annuities is encompassed. Moreover, security and reference fund prices may feature stochastic volatility or discontinuous dynamics. The longevity risk is also taken into account, by letting the evolution of mortality present stochastic dynamics subject not only to random fluctuations but also to systematic deviations.