Life-cycle Consumption Model Research Articles

Optimal annuitization under stochastic interest rates

Abstract The decision about when and how much to annuitize is an important element of the retirement planning of most individuals. Optimal annuitization strategies depend on the individual’s exposure to annuity risk, meaning the possibility of meeting unfavorable personal and market conditions at the time of the annuitization decision. This article studies optimal annuitization strategies within a life-cycle consumption and portfolio choice model, focusing on stochastic interest rates as an important source of annuity risk. Closing a gap in the existing literature, our numerical results across different model variants reveal several typical structural effects of interest rate risk on the annuitization decision, which may however vary depending on preference specifications and alternative investment opportunities: When allowing for gradual annuitization, annuity risk is temporally diversified by spreading annuity purchases over the whole pre-retirement period, with annuity market participation starting earlier in the life cycle and becoming more extensive with increasing interest rate risk. Ruling out this temporal diversification possibility, as embedded in many institutional settings, incurs significant welfare losses, which are increasing with higher interest rate risk, together with larger overall demand for annuitization.

The welfare costs of misinformation

Social Security (SS) benefits, with an average replacement rate of around 40 percent, serve as an important source of retirement income for older Americans. Yet, the size of lifetime benefits a household receives depends on many factors, including the age of benefit claim and life-cycle labor supply decisions. Given the complexity of the associated rules, many households may lack understanding of one or more aspects of the system. In this work, we use a life-cycle model of consumption, savings, labor supply, and Social Security application decisions to study the welfare impact of such misinformation. Our findings indicate significant welfare losses stemming from misinformation, especially when it causes individuals to strongly over-estimate the value of future entitlements. Additionally, we show that the Social Security Statement program, a large public information campaign, must inform only 20.1 percent of misinformed individuals in order for aggregate benefits of information to outweigh aggregate costs.

Credit cards, credit utilization, and consumption

We use credit bureau data to show that credit card limits grow rapidly early in life and are an important early-life liquidity source. Yet individual credit utilization is stable over the short and long term. To explain these new findings, we propose a life-cycle consumption model with heterogeneous preferences, the option to revolve, and credit cards used for payments. Using diary data to identify payment use and the revealed preference that some people with credit cards borrow at high interest, while others do not to help identify heterogeneous preferences, the estimated model matches consumption and credit use at every frequency. The model suggests that around half the population has an endogenously high marginal propensity to consume. This targetable population explains the large consumption response to unexpected cash.

James Tobin on Overlapping Generations Models and the Microeconomic Foundations of Macroeconomics Reconsidered

The American Keynesian economist and Nobel laureate James Tobin entitled his contribution to the inaugural issue of Journal of Money, Credit and Banking “A General Equilibrium Approach to Monetary Theory” (1969) yet he was sharply critical of the version of general equilibrium analysis used in the now-prevalent dynamic stochastic general equilibrium (DSGE) approach to macroeconomic modeling. He also rejected claims that overlapping generation (OLG) models provided a choice-theoretic foundation for the holding of fiat money, denying that the assumption that people held fiat money because no other asset existed was less arbitrary than allowing costs of transactions between assets to be non-zero. Yet, while not accepting OLG as the explanation of why people hold fiat money, Tobin, in a series of articles from 1967 to 1983 (some joint with Walter Dolde), placed the life-cycle model of consumption and saving (whose origins he attributed to an earlier Yale economist, Irving Fisher) into an OLG setting. This article examines Tobin’s critiques of DSGE and OLG modelling in macroeconomics, what he meant by “a general equilibrium approach to monetary theory,” and his contribution placing the life-cycle model in an OLG setting.

Valuing life over the life cycle

Adjusting the valuation of life along the (i) person-specific (age, health, wealth) and (ii) mortality risk-specific (beneficial or detrimental, temporary or permanent changes) dimensions is relevant in prioritizing healthcare interventions. These adjustments are provided by solving a life cycle model of consumption, leisure and health choices and the associated Hicksian variations for mortality changes. The calibrated model yields plausible Values of Life Year between 154K$ and 200K$ and Values of Statistical Life close to 6.0M$. The willingness to pay (WTP) and to accept (WTA) compensation are equal and symmetric for one-shot beneficial and detrimental changes in mortality risk. However, permanent, and expected longevity changes are both associated with larger willingness for gains, relative to losses, and larger WTA than WTP. Ageing lowers both variations via falling resources and health, lower marginal continuation utility of living and decreasing longevity returns of changes in mortality.

Taxation of Consumption and Labor Income: A Quantitative Approach

I quantitatively characterize optimal consumption and labor income taxes in a structural life-cycle model of household consumption, saving, and employment choices that allows for irreversibility of durable goods and preference heterogeneity. I find that durables should be subsidized and nondurables should be taxed at a uniform rate. The durable subsidy is driven by the life-cycle features of the model together with durables’ irreversibility and borrowing constraints. Uniform taxation on nondurables holds under exogenous and endogenous—fully or weakly separable—labor supply and it relies on homogeneity of intertemporal preferences. Allowing for government’s equity concerns, I show that the model rationalizes the tax practice. (JEL D15, G51, H21, H23, H24, H31, J22)

Delay the Pension Age or Adjust the Pension Benefit? Implications for Labor Supply and Individual Welfare in China

We develop and calibrate a life-cycle model of labor supply and consumption to quantify the implications of alternative pension reforms on labor supply, individual welfare, and government budget for Chinas basic old-age insurance program. We distinguish low-skilled and high-skilled individuals, who differ in their preferences, health and labor income dynamics, and medical expense processes. We use the calibrated model to evaluate three potential pension reforms: (i) increasing the pension eligibility age from 60 to 65, but keeping the current pension benefit formula unchanged; (ii) keeping the pension eligibility age at 60, but proportionally lowering pension benefits so that the pension program’s budget is the same as under Reform (i); and (iii) increasing the pension eligibility age to 65 and simultaneously increasing the pension benefits so that individuals of both skill types attain the same individual welfare levels as in the status quo. We find that relative to the baseline, both Reforms (i) and (ii) can substantially improve the budgets of the pension system, but at the cost of substantial individual welfare loss for both skill types. In contrast, we find that Reform (iii) can modestly improve the budget of the pension system while ensuring that both skill types are as well off as in the status quo. We find that Reforms (i) and (ii) slightly increase, but Reform (iii) slightly decreases, the overall labor supply.

Long-Run Saving Dynamics: Evidence from Unexpected Inheritances

Abstract We exploit inheritance episodes to provide novel causal evidence on the long-run effects of a large financial windfall on saving behavior. For identification, we combine a longitudinal panel of administrative wealth reports with variation in the timing of sudden, unexpected parental deaths. We show that after inheritance, net worth converges toward the path established before parental death, with only one-third of the initial windfall remaining after nine years. We interpret these findings through the lens of a generalized consumption-saving framework. To quantitatively replicate this behavior, life-cycle consumption models require impatient consumers and strong precautionary saving motives.

Optimal Portfolio Choice with Health-Contingent Income Products: The Value of Life Care Annuities

We study optimal retirement portfolio choice and welfare when individuals can choose between stocks, bonds, and either a life-contingent (life) annuity or a health-contingent (life care) annuity. 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 health care expenditure, including at end of life. Using the calibrated model, we find that life care annuities are more attractive than life annuities and would enhance annuity demand by 12 percentage points. Life care annuities allow individuals to reduce precautionary savings and consume more throughout retirement, with individuals willing to pay a loading of up to 21% for access to the product.

Know More, Spend More? The Impact of Financial Literacy on Household Consumption

This paper examines the relationship between household consumption and financial literacy. The economic framework is a simple life-cycle model of consumption in which financial literacy affects the rate of return on assets. The theoretical predictions are that, for plausible values of the intertemporal elasticity of substitution, financial literacy is positively related to both the level of consumption and consumption growth. We empirically test these theoretical predictions with Dutch data from the LISS household panel. Our results provide evidence in favour of a positive association between non-durable consumption, and in particular food consumption, and financial literacy. No evidence is, however, found in favour of an association between consumption growth and financial literacy.

Housing wealth, mortgages and Australians’ labour force participation in later life

In the life cycle model of consumption and saving, homeownership is an important vehicle for horizontal redistribution. Households accumulate wealth in owner-occupied housing during working lives before benefiting from imputed rent streams in retirement. But in some countries housing wealth’s welfare role has broadened as owners increasingly use flexible mortgages to smooth consumption during working lives. One consequence is higher outstanding mortgages later in life, a burden exacerbated by high real house prices that compel home buyers to demand mortgages that are a growing multiple of their incomes. We investigate whether these developments are prompting longer working lives, an idea that is especially relevant in countries offering relatively low government pensions. Australia is one such country. We use the 2001–2017 panels of the Household, Income and Labour Dynamics in Australia Survey to estimate hazard models of exits from the Australian labour force as workers approach pensionable age. We find that those with high outstanding mortgage debts are more likely to postpone retirement, as are those with relatively low amounts of private pension wealth. These results are stronger in urban housing markets, and especially among males.

Delay the Pension Age or Adjust the Pension Benefit? Implications for Labor Supply and Individual Welfare in China

We develop and calibrate a life-cycle model of labor supply and consumption to quantify the implications of alternative pension reforms on labor supply, individual welfare, and government budget for China’s basic old-age insurance program. We focus on urban males and distinguish low-skilled and high-skilled individuals, who differ in their preferences, health and labor income dynamics, and medical expense processes. We use the calibrated model to evaluate three potential pension reforms: (i) increasing the pension eligibility age from 60 to 65, but keeping the current pension benefit rule unchanged; (ii) keeping the pension eligibility age at 60, but proportionally lowering pension benefits so that the pension program’s budget is the same as under Reform (i); and (iii) increasing the pension eligibility age to 65 and simultaneously increasing the pension benefits so that individuals of both skill types attain the same individual welfare levels as in the status quo. We find that relative to the baseline, both Reforms (i) and (ii) can substantially improve the budgets of the pension system, but at the cost of substantial individual welfare loss for both skill types. In contrast, we find that Reform (iii) can modestly improve the budget of the pension system while ensuring that both skill types are as well off as in the status quo. We find that Reforms (i) and (ii) slightly increases, but Reform (iii) slightly decreases, the overall labor supply. Institutional subscribers to the NBER working paper series, and residents of developing countries may download this paper without additional charge at www.nber.org.

Consumption inequality across heterogeneous families

What does preference heterogeneity imply for consumption inequality? This paper studies the link from wage to consumption inequality within a lifecycle model of consumption and family labor supply. Its distinctive feature is that households have general heterogeneous preferences over consumption and labor supply. The paper shows identification of the joint distribution of unobserved household preferences separately from the observed distributions of incomes and outcomes. Estimation on data from the Panel Study of Income Dynamics in the US reveals substantial unexplained heterogeneity in consumption preferences but little unexplained heterogeneity in labor supply preferences. Preference heterogeneity accounts for about a third of consumption inequality in recent years and implies, on average, lower partial insurance of wage shocks compared to recent studies in the literature.

Non-parametric Analysis of Time-Inconsistent Preferences

AbstractThis article provides a revealed preference characterisation of quasi-hyperbolic discounting which is designed to be applied to readily available expenditure surveys. We describe necessary and sufficient conditions for the leading forms of the model and also study the consequences of the restrictions on preferences popularly used in empirical lifecycle consumption models. Using data from a household consumption panel dataset, we explore the prevalence of time-inconsistent behaviour. The quasi-hyperbolic model provides a significantly more successful account of behaviour than the alternatives considered. We estimate the joint distribution of time preferences and the distribution of discount functions at various time horizons.

Delay the Pension Age or Adjust the Pension Benefit? Implications for Labor Supply and Individual Welfare in China

We develop and calibrate a life-cycle model of labor supply and consumption to quantify the implications of alternative pension reforms on labor supply, individual welfare, and government budget for China’s basic old-age insurance program. We focus on urban males and distinguish low-skilled and high-skilled individuals, who differ in their preferences, health and labor income dynamics, and medical expense processes. We use the calibrated model to evaluate three potential pension reforms: (i) increasing the pension eligibility age from 60 to 65, but keeping the current pension benefit rule unchanged; (ii) keeping the pension eligibility age at 60, but proportionally lowering pension benefits so that the pension program’s budget is the same as under Reform (i); and (iii) increasing the pension eligibility age to 65 and simultaneously increasing the pension benefits so that individuals of both skill types attain the same individual welfare levels as in the status quo. We find that relative to the baseline, both Reforms (i) and (ii) can substantially improve the budgets of the pension system, but at the cost of substantial individual welfare loss for both skill types. In contrast, we find that Reform (iii) can modestly improve the budget of the pension system while ensuring that both skill types are as well off as in the status quo. We find that Reforms (i) and (ii) slightly increases, but Reform (iii) slightly decreases, the overall labor supply.

Revisiting Retirement and Social Security Claiming Decisions

Why do individuals retire and claim their Social Security benefits at the age they do? Understanding the key drivers of these decisions has been an important topic of research as it can help guide policy discussions on the impact of potential reforms to the Social Security program. We revisit this crucial question by exploring new sources of heterogeneity in these decisions as well as novel mechanisms governing these trade-offs. Using data from the Health and Retirement Study and the Understanding America Survey, we first document (1) important heterogeneities in social security claiming behavior of men by their education and marital status, (2) strong correlations between health, labor supply and benefit claiming decisions and (3) significant misinformation related to Social Security program knowledge and survival chances at older ages. We then build a life-cycle model of consumption, savings, labor supply, and Social Security application decisions as well as heterogeneity in education, marital status and SS program knowledge. The model includes uncertainty in health, subjective survival, wages, and job separation as well as rich details of the U.S. Social Security program to understand why a majority of individuals claim Social Security benefits prior to their normal retirement age, despite large penalties associated with these early benefit claims. We show that the estimated model can closely match the claiming behavior as seen in the data and also produce differences in SS claims along the dimensions of heterogeneity considered. Counterfactual experiments indicate that precautionary motives, misinformation, and preferences governing future discounting as well as altruism, together, go a long way in explaining overall claiming behavior. Together, these forces can explain a third of the overall early benefit claims and two-thirds of age 62 claims– with varying intensities across education and marital groups.

The Long Shadows of the Great Inflation: Evidence from Residential Mortgages

A major puzzle in financial contracting is consumers' aversion to adjustable rates. In the mortgage market, the empirical mix of contracts (80% fixed-rate) is inconsistent with standard life-cycle consumption models. We argue that these choices reflect the longlasting effect of the Great Inflation, and have sizable welfare implications. First, we show that consumers who have experienced higher inflation expect higher future interest-rate increases, which explains their preference for fixed-rate financing. Next, we quantify the influence of personal inflation experiences on mortgage financing using linked data from the Census Bureau's Residential Finance Survey. We estimate a discrete-choice model over mortgage financing alternatives. The structural parameters indicate that one additional percentage point of experienced inflation increases a borrower's willingness to pay for a fixed-rate mortgage by 6 to 14 basis points, compared to the adjustable-rate alternative in a given origination year. This experience effect has a major impact on the product mix of FRMs versus ARMs: Nearly one in seven households would switch to an ARM if not for the longlasting effect of personal inflation experiences. Our simulations suggest that households who would otherwise have switched pay $8,000-$16,000 in year-2000, after-tax dollars for the embedded inflation protection of the FRM.

Effects of taxes and safety net pensions on life-cycle labor supply, savings and human capital: The case of Australia

We structurally estimate a life-cycle model of consumption, labor supply and retirement, using data from the Australian HILDA panel. We use the model to evaluate effects of Australia’s Age Pension system and income tax policy on labor supply, consumption and retirement. Our model accounts for human capital, savings, uninsurable wage risk and credit constraints. We account for “bunching” of hours by assuming a discrete set of hours levels, and we investigate labor supply on both the intensive and extensive margins. Our model allows us to quantify the effects of anticipated and unanticipated tax and pension policy changes at different points of the life-cycle. Our results imply that Australia’s Age Pension system as currently designed is poorly targeted. Our simulations suggest that a doubling of taper rates, combined with a 5.9% reduction of income tax rates, would be budget neutral and Pareto improving.

Literacy is power and transforms lives: Channelling the relationship between financial literacy and financial satisfaction

ABSTRACT Anchored in the behavioral life-cycle model, the life-cycle consumption model, and the utility theory, we propose a new model that examines the channel through which financial literacy impacts on financial satisfaction. The data were gleaned with a self-administrated questionnaire from individual investors. The results disclose that financial planning mediates the relationship between financial literacy and financial satisfaction, and further, reveal that the moderating role of gender of the relationship between financial planning and financial satisfaction. Our study contributes to the frontiers of extant literature and proffers many useful practical implications and thus, from a policy perspective, our findings are crucial.

Putting the pension back in 401(k) retirement plans: Optimal versus default deferred longevity income annuities

Abstract The US Treasury recently permitted deferred longevity income annuities to be included in pension plan menus as a default payout solution, yet little research has investigated whether more people should convert some of the $18 trillion they hold in employer-based defined contribution plans into lifelong income streams. We investigate this innovation using a calibrated lifecycle consumption and portfolio choice model embodying realistic institutional considerations. Our welfare analysis shows that defaulting a modest portion of retirees’ 401(k) assets (over a threshold) is an attractive way to enhance retirement security, enhancing welfare by up to 20% of retiree plan accruals.