Longevity risk, retirement savings, and financial innovation

Over the last couple of decades unprecedented increases in life expectancy have raised important concerns for retirement savings. We solve a life-cycle model with longevity risk, which can be hedged through endogenous saving and retirement decisions. We investigate the benefits of financial assets designed to hedge the shocks to survival probabilities. When longevity risk is calibrated to match forward-looking projections, those benefits are substantial. This lends support to the idea that such hedging should be pursued by defined benefit pension plans on behalf of their beneficiaries. Finally, we draw implications for optimal security design.     

Issues for Implementing Phased Retirement in Defined Benefit Plans

Abstract

U.S. society is aging. The nature of work has changed from work that requires physical strength to work based on knowledge. As a result, workers are beginning to phase into retirement rather than going directly from full-time work to full retirement. From a retirement income perspective, many final-average-pay defined benefit plans have features that make phased retirement difficult at best and detrimental at worst. U.S. pension law and regulations present barriers to phased retirement if the phased retiree wants to receive a portion of available pension benefits during phased retirement.

This paper examines private sector options to encourage phased retirement and to eliminate the disincentives that currently affect defined benefit plans. It offers alternative calculations of final average pay that do not penalize the part-time worker. It also demonstrates that the plan’s early retirement reduction and late retirement increase can be set to maintain actuarial equity throughout phased retirement. The paper presents benefit calculations with equal actuarial values for various payout patterns.

The paper discusses the coordination between phased retirement and subsidized early retirement. Finally, the paper notes some of the changes in ERISA that will be needed to facilitate phased retirement in defined benefit plans, especially for participants who want to receive pension distributions while working part time.     

Impact of Replacing a Defined Benefit Pension with a Defined Contribution Plan or a Cash Balance Plan

Abstract

Four pension plan conversions are examined to determine the impact on retirement benefits of workers. The study was based on interviews with top management, employee surveys, and actuarial analysis of retirement benefits under the old and new pension plans. In general, workers who leave the firm prior to the age of early retirement can expect increased benefits under the new defined contribution and cash balance plans, whereas older, more senior workers can expect to accrue smaller benefits after the plan conversions. Recognizing these potential adverse effects, the employers in our studies provided various types of transition benefits to existing workers or gave employees the choice of remaining in the old defined benefit plan. Employee surveys reveal that younger workers are more supportive of the new pension plans than are older workers. These case studies also indicate that communication by managements with their employees is very important to the successful implementation of plan conversions.     

Government policy and ownership of equity securities

Since World War II, direct stock ownership by households across the globe has largely been replaced by indirect stock ownership by financial institutions. We argue that tax and retirement policies are among the factors behind these changes. We develop empirical measures of two tax incentives of holding stocks inside tax-deferred plans, tax-free investment income and the smoothing benefit. Using long time-series from eight countries, we show that the fraction of household ownership decreases with these measures of the tax benefits. This finding contributes to policy debates on effective taxation and to financial economics research on the long-term effects of taxation on corporate finance and asset prices.     

Getting Feedback on Defined Contribution Pension Plans

With the growth of private and public defined contribution (DC) pension plans around the world, market rates of return should increasingly play a large role in the retirement patterns of individuals. The reverse could, however, also be true—i.e., a country's population demographics could influence the financial markets. In this article, we model the potential impact of aggregate retirement patterns on macroeconomic variables with the goal of further understanding the implications of a traditional DC pension becoming the predominant source of retirement income for an entire society. We find that the economic-system feedback dampens fluctuations in the size of the working population.     

Management of Portfolio Depletion Risk through Optimal Life Cycle Asset Allocation

Members of defined contribution (DC) pension plans must take on additional responsibilities for their investments, compared to participants in defined benefit (DB) pension plans. The transition from DB to DC plans means that more employees are faced with these responsibilities. We explore the extent to which DC plan members can follow financial strategies that have a high chance of resulting in a retirement scenario that is fairly close to that provided by DB plans. Retirees in DC plans typically must fund spending from accumulated savings. This leads to the risk of depleting these savings, that is, portfolio depletion risk. We analyze the management of this risk through life cycle optimal dynamic asset allocation, including the accumulation and decumulation phases. We pose the asset allocation strategy as an optimal stochastic control problem. Several objective functions are tested and compared. We focus on the risk of portfolio depletion at the terminal date, using such measures as conditional value at risk (CVAR) and probability of ruin. A secondary consideration is the median terminal portfolio value. The control problem is solved using a Hamilton-Jacobi-Bellman formulation, based on a parametric model of the financial market. Monte Carlo simulations that use the optimal controls are presented to evaluate the performance metrics. These simulations are based on both the parametric model and bootstrap resampling of 91 years of historical data. The resampling tests suggest that target-based approaches that seek to establish a safety margin of wealth at the end of the decumulation period appear to be superior to strategies that directly attempt to minimize risk measures such as the probability of portfolio depletion or CVAR. The target-based approaches result in a reasonably close approximation to the retirement spending available in a DB plan. There is a small risk of depleting the retiree’s funds, but there is also a good chance of accumulating a buffer that can be used to manage unplanned longevity risk or left as a bequest.     

Wages,productivity, and retirement

Pensions, both state provided and privately provided, affect incentives to retire. But private pensions are part of the long term compensation package, and altering pensions not only affects retirement incentives, but also wages. A key factor in determining whether retirement occurs at the appropriate age is the relation of productivity to alternatives. When wages, coupled with public and private pension accrual, deviate from worker productivity, private retirement incentives are distorted. Sometimes this results in too much early retirement, creating fiscal difficulties. Sometimes, it results in a desire for delayed retirement, which argues for mandatory retirement rules. Pay compression, where wages do not vary across individuals as much as productivity, exacerbate distortions. Defined benefit pension plans tend to create incentives to retire after a certain number of years of work. Defined contribution plans do not have this feature. Public plans should be designed noting their interaction with incentives that are already inherent in the private wage and pension schemes.     

延迟退休年龄、内生生育率与养老金

本文通过构建内生生育率的OLG模型,从微观视角考察了延迟退休年龄对生育率、养老金替代率及其个人养老金收入的影响。研究表明:(1)延迟退休年龄会提高均衡时的生育率水平,但提高幅度非常有限。(2)生育率的提高会增加未来劳动力供给,促进养老金替代率上升和养老金收入增加,而延迟退休年龄延长了养老保险缴费期限,也会促进养老金替代率上升和养老金收入增加;但同时,延迟退休年龄将使得预防性储蓄下降,资本积累降低,工资收入下降,养老金收入降低。因此,延迟退休年龄会使养老金替代率上升。当资本产出弹性大于或等于0.5时,延迟退休年龄会使得养老金收入降低;当资本产出弹性小于0.5时,在平均预期寿命较大或养老保险缴费比例较高的情形下,养老金收入会随着退休年龄的延迟而增加,反之,其会随着退休年龄的延迟而降低。进一步地,将模型拓展到包含人力资本的情形,延迟退休年龄仍会提高均衡时的生育率与养老金替代率。     

Investment Risk,Bankruptcy Risk,and Pension Reform in Canada

The wealth redistributive effects of retroactive termination insurance together with the difficulty of determining insurance premiums suggest that an alternative response, such as improved disclosure of worker benefits in the event of plan wind-up, may be preferred if the government remains concerned about the security of benefits in underfunded plans. Members of money purchase plans may well be less subject to investment risk than members of defined benefit plans, contrary to the claim of many. In Canada, defined benefit plans appear to have been transformed into defined benefit/money purchase hybrids, and this has several important implications.     

The technology of benefits outsourcing: helping employees help themselves

The exponential growth of health plan offerings and increased use of defined contribution retirement plans has caused a fundamental shift in the way that benefits management is done. Specifically, the authors point out that we are moving into an era of "self-service" in employee benefits, with employees often taking the role of management of their own benefits through use of technology. Outsourcing benefits management through the use of technology has meant the role of HR departments has shifted from personnel administrators to strategic business partners. By outsourcing administrative functions and maximizing the power of new interactive technology, human resource departments are able to focus on the strategic needs of the company to adapt to the challenges of the future.     

The tax benefit of income smoothing

A worker can reduce tax liability by contributing to a private pension plan when marginal tax rates are high and withdraw pension benefits when marginal tax rates are low. We quantify the tax benefit of income smoothing through the private retirement system and find that it is negligible. This conclusion is important to households, investment advisers, tax policymakers, and scholars engaged in financial retirement planning.     

Private Pension Arrangements and Retirement in Britain*

This paper looks at the policy debate surrounding private pensions and retirement patterns in the UK. Recent increases in longevity have led not only to increased pressures in public pensions but also to corresponding increases in the importance of private pensions in the UK and changes in the way in which they are structured. We consider the economic implications of these changes, and in particular the increased importance of defined contribution plans. In addition, we discuss the prospects for future trends in retirement ages.     

Reserves and cash flows under stochastic retirement

Uncertain time of retirement and uncertain structure of retirement benefits are risk factors for life insurance companies. Nevertheless, classical life insurance models assume these are deterministic. In this paper, we include the risk from stochastic time of retirement and stochastic benefit structure in a classical finite-state Markov model for a life insurance contract. We include discontinuities in the distribution of the retirement time. First, we derive formulas for appropriate scaling of the benefits according to the time of retirement and discuss the link between the scaling and the guarantees provided. Stochastic retirement creates a need to rethink the construction of disability products for high ages and ways to handle this are discussed. We show how to calculate market reserves and how to use modified transition probabilities to calculate expected cash flows without significantly more complexity than in the traditional model. At last, we demonstrate the impact of stochastic retirement on market reserves and expected cash flow in numerical examples.     

The Impact of DC Pension Systems on Population Dynamics

Abstract

This study investigates the risk inherent in defined contribution (DC) pension plans on an individual and aggregate basis, based on U.S. data. Our aim is to gain insight into the consequences of a DC pension scheme becoming the predominant pillar of retirement income for an entire society. Using the stochastic simulated output of a DC flexible age-of-retirement model, we first determine the optimal investment strategies. We then examine the demographic retirement dynamics of an entire population of DC pension plan participants.

We observe that even for the most risk-averse plan members there is a high level of uncertainty in an individual’s age at retirement. At the aggregate population level, we find that this uncertainty does not get dampened to any great extent by a diversification effect. Instead, the central role played by the market in determining retirement dates results in significant variation in the dependency ratio (the ratio of retirees to workers) over time. In addition, an attempt to ameliorate the outcome by introducing additional realistic features in the DC population modeling did little to dampen this volatility, which suggests that countries dominated by DC schemes of this type may, over time, be exposed to significant risk in the size of its labor force.     

Some Implications of Changing the Tax Basis for Pension Funds

Governments in many developed economies provide private pension plans with significant taxation incentives. However, as many retirement income systems are now being reviewed due to demographic, social and economic pressures, these taxation arrangements are also under scrutiny. This paper discusses some of the implications of the differences between the traditional taxation treatment adopted by most OECD nations and that adopted by Australia, where there is a tax on contributions, a tax on investment earnings and a tax on benefits. The results show that there are significant differences in the net value of the benefits received by individuals and the taxation revenue received by the government. On the other hand, it is shown that there is remarkably little to distinguish between the two tax structures in terms of summary measures of lifetime income, although the form in which the benefit is taken in retirement is significant in influencing intragenerational equity.     

The costs and benefits of retirement policies at U.S. audit firms

The mandatory retirement age within U.S. Big 4 audit firms ranges from 55 to 62, which has attracted controversy and legal scrutiny. The potential costs of an earlier retirement age include the loss of established networks, experience, and expertise. However, studies in non-U.S. jurisdictions conclude that partners nearing retirement disengage from their work, which manifests in lower audit quality. Using intensive hand-collected data on the age of 3,148 U.S. audit partners, we provide the first evidence of the costs and benefits of mandatory retirement policies at U.S. audit firms. We find that audit quality does not vary, but that fees are significantly higher for U.S. partners approaching retirement. These findings suggest that U.S. mandatory retirement policies are forcing out experienced revenue earners that are producing audit quality equivalent to younger partners. Additional analysis reveal that partner retirements are mechanisms to promote and grow the client portfolios of younger and female audit partners, and therefore increase partner diversity. Our additional analysis of non-U.S. audit partners leading audits of U.S. listed companies shows that partners approaching retirement are associated with lower audit quality across certain measures. This suggests that the audit quality of older U.S. partners is superior to their non-U.S. counterparts.     

The effects of population aging on optimal redistributive taxes in an overlapping generations model

The impact of population aging on the steady-state solution to an Ordover and Phelps (J. Public Econ. 12:1?C26, 1979) overlapping generations optimal nonlinear income tax problem with two types of worker and quasilinear-in-leisure preferences is investigated. A decrease in the rate of population growth, which leads to an aging population, increases the relative price of consumption per person in retirement, which tends to decrease optimal consumption for retirees of both skill types. Nevertheless, it is also shown that the optimal marginal income tax rates are independent of the rate of population growth. In addition, the steady-state interest rate unambiguously declines when the rate of population growth declines. Resulting adjustments in production plans have an ambiguous effect on the aggregate wage rate. This article identifies factors contributing to an increase in the aggregate wage when the population ages, namely normality of consumption in retirement, complementarity between capital and labor in production, and a large capital deepening effect relative to the increase in dependency owing to demographic change. Depending on the sign of this wage effect, ambiguities may arise in the direction of change in the optimal steady-state consumption and production plans. However, when the dependency effect is sufficiently strong, it is possible to sign the direction of change in all production and consumption plans. Moreover, regardless of the direction of change in optimal consumption plans, the absolute value of the changes in consumption plans are smaller for low-skilled workers than for high-skilled when utility is time-separable and preferences exhibit decreasing absolute risk aversion. Adopting, instead, a quasilinear-in-consumption specification of preferences sharpens the comparative statics of consumption allocations, but introduces ambiguity into the effect of the rate of population growth on the optimal marginal income tax rate.     

Executive pensions,disclosure quality,and rent extraction

We argue that vague disclosure of supplemental executive retirement plans (SERPs) may impede effective shareholder monitoring over this compensation form. Hence, CEOs with power over the board may view SERP benefits as an attractive mechanism to increase their own pay, thereby extracting rents. Our results provide empirical support of the hypothesis. Many of the variables proxying for CEO power are significant in explaining the incidence and magnitude of CEO SERP benefits. In contrast, we find little association between CEO power and cash pay, a well disclosed and monitored compensation form. The results indicate that rent extraction depends on the quality of compensation disclosure.     

Making Federal Pension Policy Work

Abstract

Millions of Americans retire while they are still productive. Of these, many will have the resources to enjoy all of their golden years. Unfortunately, many others will face economic hardships after they have exhausted their own resources but have become too frail to return to work. Part of the problem is that the current pension system is fraught with financial incentives that push ablebodied elderly workers into retirement just when they should instead be encouraged to remain in the workforce to accumulate additional retirement assets. This paper recommends a number of ways to change federal pension laws in order to encourage elderly workers to remain in the workforce. For example, this paper recommends toughening the penalty on premature distributions, repealing the minimum distribution rules, and repealing the exceptions to the Age Discrimination in Employment Act that permit retirement plans to provide early retirement incentives and subsidies.

This paper also considers whether the government should require that all retirement plans be neutral as to the timing of retirement. In an age-neutral world, workers would always accrue more benefits if they kept working. Consequently, more workers would remain in the workforce, accumulating additional assets for their eventual retirement.

Finally, this paper also considers how federal pension policy could help counteract the tendency of Americans to retire too early because they underestimate their life expectancies, overestimate their financial resources, and fail to understand the deleterious effects of inflation. In particular, this paper recommends that the government require that virtually all retirement plans pay at least a portion of their benefits in the form of an inflation-adjusted annuity.