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This chapter outlines the conditions under which accounting-based smoothing can be beneficial for policyholders who hold with-profit or participating payout life annuities (PLAs). We use a realistically-calibrated model of PLAs to explore how alternative accounting techniques influence policyholder welfare as well as insurer profitability and stability. We find that accounting smoothing of participating life annuities is favorable to consumers and insurers, as it mitigates the impact of short-term volatility and enhances the utility of these long-term annuity contracts.
Open-end real estate funds (so called “Offene Immobilienfonds”) play a major role in the German market for securitised real estate investments. Such funds are pools of money from many investors, which are invested in real estate by special investment management companies. This study seeks to identify the risk and return profile of this investment vehicle (before and after income taxes), to compare them with those of other major asset classes, and to provide implications for their appropriate role in a mixed-asset portfolio. Addition-ally, an overview of the institutional architecture and role of German open-end real estate funds is given. Empirical evidence suggests that the financial characteristics of open-end real estate funds are in many respects similar to those reported for direct real estate invest-ments. Accordingly, German open-end real estate funds qualify for medium and long-term investment horizons, rather than for shorter holding periods.
Public employee pension systems throughout the developed world have traditionally been of the pay-as-you-go (PAYGO) defined benefit (DB) variety, where pensioner payments are financed by taxes (contributions) levied on the working generation. But as the number of retirees rises relative to the working-age group, such systems have begun to face financial distress. This trend has been exacerbated in many countries, among them Germany, by high unemployment rates producing further deterioration of the contribution base. In the long run, public sector pension benefits will have to be cut or contributions increased, if the systems are to be maintained. An alternative path sometimes offered to ease the crunch of paying for public employee pensions is to move toward funding: here, plan assets are gradually built up, invested, and enhanced returns devoted to partly defray civil servants’ pension costs. In this study, we evaluate the impact of introducing partial prefunding, paired with a strategic investment policy for the German federal state of Hesse. The analysis assesses the impact of introducing a supplementary tax-sponsored pension fund whose contributions are invested in the capital market and used to relieve the state budget from (some) pension payments. Our model determines the expectation and the Conditional Value-at-Risk of economic pension costs using a stochastic simulation process for pension plan assets. This approach simultaneously determines the optimal contribution rate and asset allocation that controls the expected economic costs of providing the promised pensions, while at the same time controlling investment risk. Specifically, we offer answers to the following questions: 1. How can the plan be designed to control cash-flow shortfall risk, so as to mitigate the potential burden borne by future generations of taxpayers? 2. What is the optimal asset allocation for this fund as it is built up, to generate a maximum return while simultaneously restricting capital market and liability risk? 3. What are reasonable combinations of annual contribution rates and asset allocation to a state-managed pension fund, which will limit costs of providing promised public sector pensions? We anticipate that this research will interest several sorts of policymaker groups. First, focusing on the German case, the state and Federal governments should find it relevant, as these entities face considerable public sector pension liabilities. Second, our findings will also be of interest to other European countries, as most have substantial underfunded defined benefit plans for civil servants. In what follows, we first offer a brief description of the structure of civil servant pensions in Germany, focusing on their benefit formulas, their financing, and the resulting current as well as future plan obligations for taxpayers. Next, we turn to an analysis of the actuarial status of the Hesse civil servants’ pension plan and evaluate how much would have to be contributed to fund this plan in a nonstochastic context. Subsequently we evaluate the asset-liability and decision-making process from the viewpoint of the plan sponsor, to determine sensible plan asset allocation behavior. A final section summarizes findings and implications.
The direct financial impact of the financial crisis has been to deal a heavy blow to investment-based pensions; many workers lost a substantial portion of their retirement saving. The financial sector implosion produced an economic crisis for the rest of the economy via high unemployment and reduced labor earnings, which reduced household contributions to Social Security and some private pensions. Our research asks which types of individuals were most affected by these dual financial and economic shocks, and it also explores how people may react by changing their consumption, saving and investment, work and retirement, and annuitization decisions. We do so with a realistically calibrated lifecycle framework allowing for time-varying investment opportunities and countercyclical risky labor income dynamics. We show that households near retirement will reduce both short- and long-term consumption, boost work effort, and defer retirement. Younger cohorts will initially reduce their work hours, consumption, saving, and equity exposure; later in life, they will work more, retire later, consume less, invest more in stocks, save more, and reduce their demand for private annuities. Keywords: Financial Crisis , Household Finance , Cycle Portfolio Choice , Labor Supply Classification: D1, G11, G23, G35, J14, J26, J32
Many Americans claim Social Security benefits early, though this leaves them with lower benefits throughout retirement. We build a lifecycle model that closely tracks claiming patterns under current rules, and we use it to predict claiming delays if, by delaying benefits, people received a lump sum instead of an annuity. We predict that current early claimers would defer claiming by a year given actuarially fair lump sums, and the predictions conform with respondents’ answers to a strategic survey about the lump sum. In other words, such a reform could provide an avenue for encouraging delayed retirement without benefit cuts or tax increases. Moreover, many people would still defer claiming even for smaller lump sums.
Shares of open-end real estate funds are typically traded directly between the investor and the fund management company. However, we provide empirical evidence for the growth of secondary market activities, i.e., the trading of shares on stock exchanges. We find high trading levels in situations where the fund management company suspends the issue or redemption of shares. Shares trade at a discount when the fund management company suspends the redemption, whereas shares trade at a premium when the fund management company suspends the issue. We also find evidence that secondary market trading activity is increasing since German regulation introduced a minimum holding period and a mandatory notice period for open-end real estate funds.
Dynamics of life course family transitions in Germany: exploring patterns, process and relationships
(2023)
This paper explores dynamics of family life events in Germany using discrete time event history analysis based on SOEP data. We find that higher educational attainment, better income level, and marriage emerge as salient protective factors mitigating the risk of mortality; better education also reduces the likelihood of first marriage whereas, lower educational attainment, protracted period, and presence of children act as protective factors against divorce. Our key finding shows that disparity in mean life expectancies between individuals from low- and high-income brackets is observed to be 9 years among males and 6 years among females, thereby illustrating the mortality inequality attributed to income disparities. Our estimates show that West Germans have low risk of death, less likelihood of first marriage, and they have a high risk of divorce and remarriage compared to East Germans.
Portfolio choice and estimation risk : a comparison of Bayesian approaches to resampled efficiency
(2002)
Estimation risk is known to have a huge impact on mean/variance (MV) optimized portfolios, which is one of the primary reasons to make standard Markowitz optimization unfeasible in practice. Several approaches to incorporate estimation risk into portfolio selection are suggested in the earlier literature. These papers regularly discuss heuristic approaches (e.g., placing restrictions on portfolio weights) and Bayesian estimators. Among the Bayesian class of estimators, we will focus in this paper on the Bayes/Stein estimator developed by Jorion (1985, 1986), which is probably the most popular estimator. We will show that optimal portfolios based on the Bayes/Stein estimator correspond to portfolios on the original mean-variance efficient frontier with a higher risk aversion. We quantify this increase in risk aversion. Furthermore, we review a relatively new approach introduced by Michaud (1998), resampling efficiency. Michaud argues that the limitations of MV efficiency in practice generally derive from a lack of statistical understanding of MV optimization. He advocates a statistical view of MV optimization that leads to new procedures that can reduce estimation risk. Resampling efficiency has been contrasted to standard Markowitz portfolios until now, but not to other approaches which explicitly incorporate estimation risk. This paper attempts to fill this gap. Optimal portfolios based on the Bayes/Stein estimator and resampling efficiency are compared in an empirical out-of-sample study in terms of their Sharpe ratio and in terms of stochastic dominance.
The classical approaches to asset allocation give very different conclusions about how much foreign stocks a US investor should hold. US investors should either allocate a large portion of about 40% to foreign stocks (which is the result of mean/variance optimization and the international CAPM) or they should hold no foreign stocks at all (which is the conclusion of the domestic CAPM and mean/variance spanning tests). There is no way in between.
The idea of the Bayesian approach discussed in this article is to shrink the mean/variance efficient portfolio towards the market portfolio. The shrinkage effect is determined by the investor's prior belief in the efficiency of the market portfolio and by the degree of violation of the CAPM in the sample. Interestingly, this Bayesian approach leads to the same implications for asset allocation as the mean-variance/tracking error criterion. In both cases, the optimal portfolio is a combination of the market portfolio and the mean/variance efficient portfolio with the highest Sharpe ratio.
Applying both approaches to the subject of international diversification, we find that a substantial home bias is only justified when a US investor has a strong belief in the global mean/variance efficiency of the US market portfolio and when he has a high regret aversion of falling behind the US market portfolio. We also find that the current level of home bias can be justified whenever-regret aversion is significantly higher than risk aversion.
Finally, we compare the Bayesian approach of shrinking the mean/variance efficient portfolio towards the market portfolio to another Bayesian approach which shrinks the mean/variance efficient portfolio towards the minimum-variance portfolio. An empirical out-of-sample study shows that both Bayesian approaches lead to a clearly superior performance compared to the classical mean/variance efficient portfolio.
U.S. investors hold much less international stock than is optimal according to mean–variance portfolio theory applied to historical data. We investigated whether this home bias can be explained by Bayesian approaches to international asset allocation. In comparison with mean–variance analysis, Bayesian approaches use different techniques for obtaining the set of expected returns by shrinking the sample means toward a reference point that is inferred from economic theory. Applying the Bayesian approaches to the field of international diversification, we found that a substantial home bias can be explained when a U.S. investor has a strong belief in the global mean–variance efficiency of the U.S. market portfolio, and in this article, we show how to quantify the strength of this belief. We also found that one of the Bayesian approaches leads to the same implications for asset allocation as the mean–variance/tracking-error criterion. In both cases, the optimal portfolio is a combination of the U.S. market portfolio and the mean–variance-efficient portfolio with the highest Sharpe ratio.
US investors hold much less foreign stocks than mean/variance analysis applied to historical data predicts. In this article, we investigate whether this home bias can be explained by Bayesian approaches to international asset allocation. In contrast to mean/variance analysis, Bayesian approaches employ different techniques for obtaining the set of expected returns. They shrink sample means towards a reference point that is inferred from economic theory. We also show that one of the Bayesian approaches leads to the same implications for asset allocation as mean-variance/tracking error criterion. In both cases, the optimal portfolio is a combination the market portfolio and the mean/variance efficient portfolio with the highest Sharpe ratio.
Applying the Bayesian approaches to the subject of international diversification, we find that substantial home bias can be explained when a US investor has a strong belief in the global mean/variance efficiency of the US market portfolio and when he has a high regret aversion falling behind the US market portfolio. We also find that the current level of home bias can justified whenever regret aversion is significantly higher than risk aversion.
Finally, we compare the Bayesian approaches to mean/variance analysis in an empirical out-ofsample study. The Bayesian approaches prove to be superior to mean/variance optimized portfolios in terms of higher risk-adjusted performance and lower turnover. However, they not systematically outperform the US market portfolio or the minimum-variance portfolio.
We have designed and implemented an experimental module in the 2014 Health and Retirement Study to measure older persons' willingness to defer claiming of Social Security benefits. Under the current system’ status quo where delaying claiming boosts eventual benefits, we show that 46% of the respondents would delay claiming and work longer. If respondents were instead offered an actuarially fair lump sum payment instead of higher lifelong benefits, about 56% indicate they would delay claiming. Without a work requirement, the average amount needed to induce delayed claiming is only $60,400, while when part-time work is stipulated, the amount is slightly higher, $66,700. This small difference implies a low utility value of leisure foregone, of under 20% of average household income.
How might retirees consider deploying the retirement assets accumulated in a defined contribution pension plan? One possibility would be to purchase an immediate annuity. Another approach, called the "phased withdrawal" strategy in the literature, would have the retiree invest his funds and then withdraw some portion of the account annually. Using this second tactic, the withdrawal rate might be determined according to a fixed benefit level payable until the retiree dies or the funds run out, or it could be set using a variable formula, where the retiree withdraws funds according to a rule linked to life expectancy. Using a range of data consistent with the German experience, we evaluate several alternative designs for phased withdrawal strategies, allowing for endogenous asset allocation patterns, and also allowing the worker to make decisions both about when to retire and when to switch to an annuity. We show that one particular phased withdrawal rule is appealing since it offers relatively low expected shortfall risk, good expected payouts for the retiree during his life, and some bequest potential for the heirs. We also find that unisex mortality tables if used for annuity pricing can make women's expected shortfalls higher, expected benefits higher, and bequests lower under a phased withdrawal program. Finally, we show that delayed annuitization can be appealing since it provides higher expected benefits with lower expected shortfalls, at the cost of somewhat lower anticipated bequests. Klassifikation: G22, G23, J26, J32, H55 . January 2004.
Versicherungsunternehmen haben bei der Auswahl ihrer Vermögensanlagen die gesetzlichen Restriktionen des Versicherungsaufsichtsgesetzes einzuhalten. Neben einer strukturierten Darstellung der zahlreichen Regulierungstatbestände werden aus Sicht der Finanzierungstheorie sowie den empirischen Verhältnissen an den Kapitalmärkten die im VAG enthaltenen Rahmenbedingungen einer kritischen Bewertung unterzogen.
The purpose of this paper is to compare three different index construction methodologies of commercial property investments. We examine for different European countries (i) appraisal-based indices and methods of „unsmoothing“ the corresponding return series, (ii) indices that trace average ex-post transaction prices over time, and (iii) indices based on Real Estate Investment Trust share prices.
We present an empirical study focusing on the estimation of a fundamental multi-factor model for a universe of European stocks. Following the approach of the BARRA model, we have adopted a cross-sectional methodology. The proportion of explained variance ranges from 7.3% to 66.3% in the weekly regressions with a mean of 32.9%. For the individual factors we give the percentage of the weeks when they yielded statistically significant influence on stock returns. The best explanatory power – apart from the dominant country factors – was found among the statistical constructs „success“ and „variability in markets“.
Implications of money-back guarantees for individual retirement accounts: protection then and now
(2019)
In the wake of the financial crisis and continued volatility in international capital markets, there is growing interest in mechanisms that can protect people against retirement account volatility. This paper explores the consequences for savers’ wellbeing of implementing market-based retirement account guarantees, using a life cycle consumption and portfolio choice model where investors have access to stocks, bonds, and tax-qualified retirement accounts. We evaluate the case of German Riester plans adopted in 2002, an individual retirement account produce that includes embedded mandatory money-back guarantees. These guarantees influenced participant consumption, saving, and investment behavior in the higher interest rate environment of that era, and they have even larger impacts in a low-return world such as the present. Importantly, we conclude that abandoning these guarantees could enhance old-age consumption for over 80% of retirees, particularly lower earners, without harming consumption during the accumulation phase. Our results are of general interest for other countries implementing default investment options in individual retirement accounts, such as the U.S. 401(k) defined contribution plans and the Pan European Pension Product (PEPP) recently launched by the European Parliament.
A recent US Treasury regulation allowed 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 $15 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 small 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.
Most defined contribution pension plans pay benefits as lump sums, yet the US Treasury has recently encouraged firms to protect retirees from outliving their assets by converting a portion of their plan balances into longevity income annuities (LIA). These are deferred annuities which initiate payouts not later than age 85 and continue for life, and they provide an effective way to hedge systematic (individual) longevity risk for a relatively low price. Using a life cycle portfolio framework, we measure the welfare improvements from including LIAs in the menu of plan payout choices, accounting for mortality heterogeneity by education and sex. We find that introducing a longevity income annuity to the plan menu is attractive for most DC plan participants who optimally commit 8-15% of their plan balances at age 65 to a LIA that starts paying out at age 85. Optimal annuitization boosts welfare by 5-20% of average retirement plan accruals at age 66 (assuming average mortality rates), compared to not having access to the LIA. We also compare the optimal LIA allocation versus two default options that plan sponsors could implement. We conclude that an approach where a fixed fraction over a dollar threshold is invested in LIAs will be preferred by most to the status quo, while enhancing welfare for the majority of workers.
We designed and fielded an experimental module in the 2014 HRS which seeks to measure older persons’ willingness to voluntarily defer claiming of Social Security benefits. In addition we evaluate the stated willingness of older individuals to work longer, depending on the Social Security incentives offered to delay claiming their benefits. Our project extends previous work by analyzing the results from our HRS module and comparing findings from other data sources, which included very much smaller samples of older persons. We show that half of the respondents would delay claiming if no work requirement were in place under the status quo, and only slightly fewer, 46 percent, with a work requirement. We also asked respondents how large a lump sum they would need with or without a work requirement. In the former case, the average amount needed to induce delayed claiming was about $60,400, while when part-time work was required, the average was $66,700. This implies a low utility value of leisure foregone of only $6,300, or about 10 percent of older households’ income.