Zhao Zhao, Olivier Ledoit, Hui Jiang, Risk reduction and efficiency increase in large portfolios: leverage and shrinkage, In: Working paper series / Department of Economics, No. 328, 2020. (Working Paper)
We investigate the effects of constraining leverage and shrinking covariance matrix in constructing large portfolios, both theoretically and empirically. Considering a wide variety of setups that involve conditioning or not conditioning the covariance matrix estimator on the recent past (multivariate GARCH), smaller vs. larger universe of stocks, alternative portfolio formation objectives (Global Minimum Variance vs. exposure to profitable factors), and various transaction cost assumptions, we find that a judiciously-chosen shrinkage method always outperforms an arbitrarily-determined leverage constraint. By extending the mathematical connection between leverage and shrinkage from static to dynamic, we provide a new theoretical explanation for our finding from the perspective of degrees of freedom. In addition, both simulation and empirical analysis show that the DCC-NL estimator results in risk reduction and efficiency increase in large portfolios as long as a small amount of leverage is allowed, whereas tightening the leverage constraint often hurts a DCC-NL portfolio. |
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Olivier Ledoit, Michael Wolf, The power of (non-)linear shrinking: a review and guide to covariance matrix estimation, In: Working paper series / Department of Economics, No. 323, 2020. (Working Paper)
Many econometric and data-science applications require a reliable estimate of the covariance matrix, such as Markowitz portfolio selection. When the number of variables is of the same magnitude as the number of observations, this constitutes a difficult estimation problem; the sample covariance matrix certainly will not do. In this paper, we review our work in this area, going back 15+ years. We have promoted various shrinkage estimators, which can be classified into linear and nonlinear. Linear shrinkage is simpler to understand, to derive, and to implement. But nonlinear shrinkage can deliver another level of performance improvement, especially if overlaid with stylized facts such as time-varying co-volatility or factor models. |
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Mathias Hoffmann, Egor Maslov, Bent E Sørensen, Small firms and domestic bank dependence in Europe's Great Recession, In: CESifo Working Papers, No. 7897, 2019. (Working Paper)
Small businesses (SMEs) depend on banks for credit. We show that the severity of the Eurozone crisis was worse in countries where firms borrowed more from domestic banks (“domestic bank dependence”) than in countries where firms borrowed more from international banks. Eurozone banking integration in the years 2000–2008 mainly involved cross-border lending between banks while foreign banks’ lending to the real sector stayed flat. Hence, SMEs remained dependent on domestic banks and were vulnerable to global banking shocks. We confirm, using a calibrated quantitative model, that domestic bank dependence makes sectors and countries with many SMEs vulnerable to global banking shocks. |
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Rainer Winkelmann, Lin Xu, Testing the binomial fixed effects logit model; with an application to female labor supply, In: Working paper series / Department of Economics, No. 321, 2019. (Working Paper)
Regression models for proportions are frequently encountered in applied work. The conditional expectation function is bounded between 0 and 1 and therefore must be non-linear, requiring nonstandard panel data extensions. One possible approach is the binomial panel logit model with fixed effects (Machado, 2004). We propose a new and simple implementation of the conditional maximum likelihood estimator for standard software. We investigate the properties of the estimator under misspecification and derive a new test for overdispersion. Estimator and test are applied in a study of contracted working volumes, measured as proportion of full-time work, for women in Switzerland. |
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Florian Scheuer, Joel Slemrod, Taxation and the superrich, In: Working paper series / Department of Economics, No. 337, 2019. (Working Paper)
This paper addresses the modern optimal tax progressivity literature, which clarifies the key role of the behavioral response to taxation and accounts for the incomes of the superrich being qualitatively different than others. Some may be “superstars,” for whom small differences in talent are magnified into much larger earnings differences, while others may work in winner-take-all markets, such that their effort to climb the ladder of success reduces the returns to others. We stress that pivotal tax-rate elasticities are not structural parameters, and will be smaller the broader and less plastic is the tax base and the more effective is the enforcement of tax evasion. For this reason, normative analysis of tax rates should be accompanied by attention to the tax base, with a special focus on capital gains, which comprise a large fraction of the taxable income of the superrich. |
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Andreas Madestam, David Yanagizawa-Drott, Shaping the nation: the effect of Fourth of July on political preferences and behavior in the United States, In: HKS Faculty Research Working Paper, No. RWP12-034, 2012. (Working Paper)
This paper examines whether social interactions and cultural practices affect political views and behavior in society. We investigate the issue by documenting a major social and cultural event at different stages in life: the Fourth of July celebrations in the United States during the 20th century. Using absence of rainfall as a proxy for participation in the event, we find that days without rain on Fourth of July in childhood shift adult views and voting in favor of the Republicans and increase turnout in presidential elections. The effects we estimate are highly persistent throughout life and originate in early age. Rain-free Fourth of Julys experienced as an adult also make it more likely that people identify as Republicans, but the effect depreciates substantially after a few years. Taken together, the evidence suggests that political views and behavior derive from social and cultural experience in early childhood, and that Fourth of July shapes the political landscape in the Unites States. |
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Anne Ardila Brenøe, Thomas Epper, Parenting values moderate the intergenerational transmission of time preferences, In: Working paper series / Department of Economics, No. 333, 2019. (Working Paper)
We study the intergenerational transmission of time preferences in a setting without reverse causality concerns. We find substantial transmission of patience from parents to children, which is insensitive to the inclusion of comprehensive sets of administratively reported controls and persists as children age. We further explore heterogeneity in the transmission with respect to two theoretically important but distinct dimensions of socialization through which parents can influence children’s traits: parenting values and parental involvement. Our results show that, in contrast to authoritative parents, authoritarian and permissive parents transmit patience to their offspring. Meanwhile, parental involvement is not an important moderator. These patterns replicate in an independent sample with richer measures of parental involvement. |
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Aleksei Smirnov, Egor Starkov, Timing of predictions in dynamic cheap talk: experts vs. quacks, In: Working paper series / Department of Economics, No. 334, 2019. (Working Paper)
The paper studies a dynamic communication game in the presence of adverse selection and career concerns. A forecaster of privately known competence, who cares about his reputation, chooses the timing of the forecast regarding the outcome of some future event. We find that in all equilibria in a sufficiently general class earlier reports are more credible. Further, any report hurts the forecaster’s reputation in the short run, with later reports incurring larger penalties. The reputation of a silent forecaster, on the other hand, gradually improves over time. |
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Olivier Ledoit, Michael Wolf, Quadratic shrinkage for large covariance matrices, In: Working paper series / Department of Economics, No. 335, 2020. (Working Paper)
This paper constructs a new estimator for large covariance matrices by drawing a bridge between the classic Stein (1975) estimator in finite samples and recent progress under large-dimensional asymptotics. The estimator keeps the eigenvectors of the sample covariance matrix and applies shrinkage to the inverse sample eigenvalues. The corresponding formula is quadratic: it has two shrinkage targets weighted by quadratic functions of the concentration (that is, matrix dimension divided by sample size). The first target dominates mid-level concentrations and the second one higher levels. This extra degree of freedom enables us to outperform linear shrinkage when optimal shrinkage is not linear (which is the general case). Both of our targets are based on what we term the “Stein shrinker”, a local attraction operator that pulls sample covariance matrix eigenvalues towards their nearest neighbors, but whose force diminishes with distance, like gravitation. We prove that no cubic or higher-order nonlinearities beat quadratic with respect to Frobenius loss under large-dimensional asymptotics. Non-normality and the case where the matrix dimension exceeds the sample size are accommodated. Monte Carlo simulations confirm state-of-the-art performance in terms of accuracy, speed, and scalability. |
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Christian Ewerhart, Dan Kovenock, A class of N-player Colonel Blotto games with multidimensional private information, In: Working paper series / Department of Economics, No. 336, 2021. (Working Paper)
In this paper, we study N-player Colonel Blotto games with incomplete information about battlefield valuations. Such games arise in job markets, research and development, electoral competition, security analysis, and conflict resolution. For M ≥ N + 1 battlefields, we identify a Bayes-Nash equilibrium in which the resource allocation to a given battlefield is strictly monotone in the valuation of that battlefield. We also explore extensions such as heterogeneous budgets, the case M ≤ N, full-support type distributions, and network games. |
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Anne Ardila Brenøe, Serena Canaan, Nikolaj Harmon, Heather Royer, Is parental leave costly for firms and coworkers?, In: NBER Working Paper Series, No. 26622, 2020. (Working Paper)
Most of the existing evidence on the effectiveness of family leave policies comes from studies focusing on their impacts on affected families - that is, mothers, fathers, and their children - without a clear understanding of the costs and effects on firms and coworkers. We use data from Denmark to evaluate the effect on firms and coworkers when a worker gives birth and goes on leave. Using a dynamic difference-in-differences design, we compare small firms in which a female employee is about to give birth to an observationally equivalent sample of small firms with female employees who are not close to giving birth. Identification rests on a parallel trends assumption, which we substantiate through a set of natural validity checks. When an employee gives birth she goes on leave from her firm for 9.5 months on average. Firms respond by increasing their labor inputs along several margins such that the net effect on total work hours is close to zero. Firms' total wage bill increases in response to leave take up, but this is driven entirely by wages paid to workers on leave for which firms receive reimbursement. There are no measurable effects on firm output, profitability or survival. Finally, coworkers of the woman going on leave see temporary increases in their hours, earnings, and likelihood of being employed but experience no significant changes in well-being at work as proxied by sick days. Overall, our results suggest that employees going on parental leave impose negligible costs on their firm and coworkers. |
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Finkelfarb Lichand Guilherme Lichand, Anandi Mani, Cognitive droughts, In: Working paper series / Department of Economics, No. 341, 2020. (Working Paper)
Poverty involves both low income levels and high income uncertainty. Do both these dimensions of being poor capture attention in ways that distort decision-making and trap people in poverty? We examine these issues using real-life shocks faced by farmers in Brazil: random payday variation affecting income levels, and rainfall shocks that affect income uncertainty. We find that it is income uncertainty that systematically has adverse cognitive effects; low income levels affect only the poorest households. The net adverse impacts on cognitive function prevail even though both dimensions of poverty reallocate attention to scarce-resource tasks. These results broaden our understanding of the impacts of uncertainty by exploring a psychological channel distinct from risk aversion, and help reconcile apparently contradictory evidence on the cognitive impact of poverty in previous studies. |
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Simon Jäger, Benjamin Schoefer, Josef Zweimüller, The equilibrium and spillover effects of early retirement, In: CRR Working Papers, No. 2020-3, 2020. (Working Paper)
This paper examines the labor market effects of unemployment insurance extensions. It uses administrative Social Security matched employer-employee data from Austria. Critical components of the analysis are effects on wages as well as retirement/job separation effects.
The paper found that:
- Older workers are very responsive to unemployment insurance benefit extensions, which in our setting may have served as a bridge into early retirement.
- These separations stem from high-value employment relationships, and may constitute inefficient separations.
- Wages appear unresponsive to such shifts on workers’ nonemployment outside options, implying that these workers may not be able to use such reforms to improve their bargaining power - even if they are older and on the retirement margin.
- However, in a second study, we find no effects on separations of such policies even for older workers. The key difference is that one reform was potential benefit extensions (entailing early retirement) rather than the benefit levels (in increases in the generosity of which even older workers did not separate from their jobs).
The policy implications of the findings are:
- Unemployment insurance benefit generosity may interact with retirement policies and trigger early retirement among older workers eligible for these benefits.
- These separations may be socially inefficient and may therefore have welfare costs.
Subsidizing early retirement policies does not entail wage pressure. |
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Ernst Fehr, Thomas Epper, Julien Senn, Social preferences and redistributive politics, In: Working paper series / Department of Economics, No. 339, 2023. (Working Paper)
Increasing inequality and associated egalitarian sentiments have put redistribution on the political agenda. In this paper, we take advantage of Swiss direct democracy, where people voted several times on strongly redistributive policies in national plebiscites, to study the link between social preferences and a behaviorally validated measure of support for redistribution in a broad sample of the Swiss population. Using a novel nonparametric Bayesian clustering algorithm, we uncover the existence of three fundamentally distinct preference types in the population: predominantly selfish, inequality averse and altruistic individuals. We show that inequality averse and altruistic individuals display a much stronger support for redistribution, particularly if they are more affluent. In addition, we show that previously identified key motives underlying opposition to redistribution – such as the belief that effort is an important driver of individual success – play no role for selfish individuals but are highly relevant for other-regarding individuals. Finally, while inequality averse individuals display strong support for policies that primarily aim to reduce the incomes of the rich, altruistic individuals are considerably less supportive of these policies. Thus, knowledge about the qualitative properties of social preferences and their distribution in the population also provides insights into which preference type supports specific redistributive policies, which has implications for how policy makers may design redistributive packages to maximize political support for them. |
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Sandro Ambühl, B Douglas Bernheim, Axel Ockenfels, Projective paternalism, In: NBER Working Paper Series, No. 26119, 2019. (Working Paper)
We study experimentally when, why, and how people intervene in others' choices. Choice Architects (CAs) construct opportunity sets containing bundles of time-indexed payments for Choosers. CAs frequently prevent impatient choices despite opportunities to provide advice, believing Choosers benefit. We consider several hypotheses concerning CAs' motives. A conventional behavioral welfarist acts as a correctly informed social planner; a mistakesprojective paternalist removes options she wishes she could reject when choosing for herself; an ideals-projective paternalist seeks to align others' choices with her own aspirations. Idealsprojective paternalism provides the best explanation for interventions in the laboratory and rationalizes support for actual paternalistic policies. |
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Sandro Ambühl, Axel Ockenfels, Colin Stewart, Attention and selection effects, In: Rotman Working Paper Series, No. 3154197, 2019. (Working Paper)
Many transactions involve uncertain but learnable consequences. Who responds more to incentives to participate, individuals who find it easier to learn about consequences or those for whom it is more difficult? We show theoretically and experimentally that incentives disproportionately attract those with high learning costs. These participants’ decisions rest on worse information, rendering ex post regret more likely. Selection based on learning costs is substantially more pronounced than selection on risk preferences in many of our treatments. Our results apply to a wide range of economic transactions and, moreover, highlight a conflict between participation incentives and ethical principles of informed consent. |
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Sandro Ambühl, B Douglas Bernheim, Fulya Ersoy, Donna Harris, Peer advice on financial decisions: a case of the blind leading the blind?, In: NBER Working Paper Series, No. 25034, 2018. (Working Paper)
Previous research shows that many people seek financial advice from non-experts, and that peer interactions influence financial decisions. We investigate whether such influences are beneficial, harmful, or simply haphazard. In our laboratory experiment, face-to-face communication with a randomly assigned peer significantly improves the quality of private decisions, measured by subjects' ability to choose as if they properly understand their opportunity sets. Subjects do not merely mimic those who know better, but also make better private decisions in novel tasks. People with low financial competence experience greater improvements when their partners also exhibit low financial competence. Hence, peer-to-peer communication transmits financial decision-making skills most effectively when peers are equally uninformed, rather than when an informed decision maker teaches an uninformed peer. Qualitative analysis of subjects' discussions supports this interpretation. The provision of effective financial education to one member of a pair influences the nature of communication but does not lead to additional improvements in the quality of the untreated partner's decisions, particularly in novel tasks. |
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Sandro Ambühl, B Douglas Bernheim, Annamaria Lusardi, A method for evaluating the quality of financial decision making, with an application to financial education, In: NBER Working Paper Series, No. 20618, 2017. (Working Paper)
We introduce a method for measuring the quality of financial decisions built around a notion of financial competence, which gauges the alignment between consumers choices and those they would make if they properly understood their opportunities. We prove our measure admits a formal welfare interpretation even when consumers suffer from additional decision-making flaws, known and unknown, outside the scope of analysis. An application illuminates the pitfalls of the types of brief rhetoric-laden interventions commonly used for adult financial education: they affect behavior through unintended mechanisms, and hence may not improve decisions even when they perform well according to conventional metrics. |
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Sandro Ambühl, Vivienne Groves, Unraveling over time, In: CESifo Working Papers, No. 6739, 2017. (Working Paper)
Unraveling, the excessively early matching of future workers to employers, is a pervasive phenomenon in entry-level labor markets that leads to hiring decisions based on severely incomplete information. We provide a model of unraveling in one-to-one matching markets for prestigious positions. Its distinguishing feature is that the market operates over an extended time period during which information about potential matches arrives gradually. We find that unraveling causes potentially thick markets to spread thinly over a long time period. In equilibrium, an employers desirability is correlated neither with the time at which they hire, nor with the expected productivity of their matched worker. Unraveling thus significantly redistributes welfare among employers compared to a pairwise stable match. We study policies that manipulate the availability of information about students and show that they are effective only if they provide a sudden surge in information. Our main application is the market for U.S. federal appellate court clerks, a significant input into the efficiency of the justice system. Consistent with the model, hiring times in our dataset are spread over a period of six months and are uncorrelated with the desirability of a judge as an employer. |
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Sandro Ambühl, An offer you can’t refuse? Incentives change how we inform ourselves and what we believe, In: CESifo Working Papers, No. 6296, 2017. (Working Paper)
Economists often espouse incentives, arguing that expanding choice sets cannot lower welfare. Yet, laws worldwide restrict incentives for many transactions, partly due to an untested concern that incentives cause poor decisions. I show experimentally that incentives skew information gathering and beliefs about what a transaction entails in a way that causally influences the participation decision, as policy makers suspected. A model of costly information acquisition shows this behavior is consistent with rationality, and thus unconcerning from an ex ante welfare economic perspective, but demands consideration under reasonable alternatives. The mechanisms apply in any situation where incentives interact with information acquisition. |
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