On the correspondence between multivariate risk aversion and risk aversion with state-dependent preferences

This paper establishes the correspondence between multivariate risk aversion and risk aversion with state-dependent preferences. It shows that the prerequisite for comparability of risk aversion in the multivariate case, namely, identical ordinal preferences on the commodity space, corresponds to identical, properly defined, reference sets in the case of state-dependent preferences. For comparable decision makers the condition that the utility function of one is a concave transformation of that of the other on the commodity space corresponds to the condition that the expected utility of one is a concave transformation of that of the other on the reference set.     

A note on risk aversion and multivariate,state-dependent preferences

Within the multivariate, state-dependent utility framework, a full insurance specification of risk aversion places severe restrictions on preferences. In particular, the von Neumann-Morgenstern utility function must be separable, and state-dependent only for consumption of the insured good.     

Real estate and relative risk aversion with generalized recursive preferences

This paper investigates how real estate wealth affects the household’s attitude toward risk, and derives the closed-form expressions for risk aversion with generalized recursive preferences. We find three channels through which real estate wealth affects risk aversion, and these channels are absent in the traditional measure of relative risk aversion as in Arrow (1965) and Pratt (1964). First, illiquidity and fluctuations in real estate value increase consumption risk, thereby increasing risk aversion. Second, real estate as an asset provides a cushion for absorbing negative shocks to households, reducing risk aversion. Third, an increase in real estate prices lowers the profit of the firm that uses real estate as a factor of production, induces a decline in the real wage, and causes a rise in consumption risk. This channel increases risk aversion. We study how these channels as a whole determine relative risk aversion using a basic real business cycle model with generalized recursive preferences and compare the results with the case of expected utility preferences. Finally, we explore the implications of the firm’s and the household’s real estate holdings and illiquidity of real estate on the risk premiums for equity and real estate.     

Risk and regret aversions on optimal bank interest margin under capital regulation

This paper examines the bank's optimal loan rate (and thus the bank's interest margin) under more stringent capital regulation when the bank is not only risk-averse but also regret-averse. Risk-averse preferences are characterized by an option-based utility function that includes disutility from the dislike of bank equity risk. Regret-averse preferences feature an option-based utility function that includes disutility from having chosen ex-post suboptimal alternatives. We show that an increase in bank capital requirement results in an increased margin under risk aversion dominating regret aversion, whereas it results in a reduced margin under regret aversion dominating risk aversion. The former holds when risk aversion domination stems from increasing risk-averse preference, but not from decreasing regret-averse preference, while the latter holds when regret aversion domination results from either decreasing risk-averse or increasing regret-averse preference. Risk aversion, as such, makes the bank more prudent and less prone to risk-taking, while regret aversion, as such, makes the bank less prudent and more prone to risk-taking.     

Do Equity Preferences Matter for Climate Negotiators? An Experimental Investigation

This paper investigates whether climate negotiators have preferences for equity and whether these preferences may help to explain different positions in international climate policy. For this purpose we conducted an online experiment with individuals who had been involved in international climate policy. The experiment consisted of two simple non-strategic games suited to measure individual inequality aversion as captured by the equity preference model of Fehr and Schmidt (Quarterly Journal of Economics 114:817–868, 1999). We find that our participants show an aversion to advantageous inequality to a considerable extent while the aversion to disadvantageous inequality is moderate. Regarding the geographical variety in our sample, we cannot confirm significant differences in the degree of inequality aversion between different regions in the world. Our conclusion is that regional differences in addressing climate change are driven more by national interests than by different equity concerns.     

私募股权投资基金薪酬合约的激励机制研究

利用合约经济学的分析方法研究私募股权投资基金的薪酬合约,我们发现:在不对称信息下创业投资家的道德风险会造成显著的代理成本.并且私募基金管理的代理成本与创业投资家的能力、风险厌恶程度以及私募股权投资基金投资组合的风险正相关;同时我们发现在私募股权投资基金的薪酬合约中引入创业板市场的景气状况作为投资组合收益的基准可显著提高创业投资家的努力激励,并显著降低私募股权投资基金管理的代理成本.     

A dynamic small open economy model with involuntary unemployment

Abstract It is well known that real business cycle small open economy (SOE) models rely on Greenwood, Hercowitz, and Huffman (1988) preferences to match the countercyclical trade balance observed in open economies, as well as other second moments, while standard preferences à la King, Plosser, and Rebelo (1988) are commonly labelled ‘ineffective,’ owing to their inability to yield the countercyclical trade balance. In this paper, I show that an SOE model with standard preferences and ‘involuntary’ unemployment with efficient risk sharing can obtain a countercyclical trade balance and match main empirical regularities in small open economies.     

Risk management of pensions from the perspective of loss aversion

This paper studies two interrelated questions. First, is a pay-as-you-go (PAYG) pension component beneficial from a risk management point of view? Second, does optimal risk management of old-age consumption differ between different income groups? The analysis is based on so-called lexicographic loss aversion preferences. Interest in these preferences stems from the fact that they explain the cross-section of individuals' savings and asset allocation choices better than alternative models. I find that all income groups benefit from the presence of a substantial PAYG component. Only for the two highest income quintiles old-age provision should heavily rely on equity investments.     

Another Look at the Equity Risk Premium Puzzle

The model of Mehra and Prescott (1985, J. Econometrics, 22, 145–161) implies that reasonable coefficients of risk‐aversion of economic agents cannot explain the equity risk premium generated by financial markets. This discrepancy is hitherto regarded as a major financial puzzle. We propose an alternative model to explain the equity premium. For normally distributed returns and for returns far away from normality (but still light tailed), realistic equity risk premia do not imply puzzlingly high risk aversions. Following our approach, the ‘equity premium puzzle’ does not exist. We also consider fat‐tailed return distributions and show that Pareto tails are incompatible with constant relative risk aversion.     

Attitudes Toward Catastrophe

In light of climate change and other global threats, policy commentators sometimes urge that society should be more concerned about catastrophes. This paper reflects on what society’s attitude toward low-probability, high-impact events is, or should be. We first argue that catastrophe risk can be conceived of as a spread in the distribution of losses. Based on this conception, we review studies from decision sciences, psychology, and behavioral economics that explore people’s attitudes toward various social risks. Contray to popular belief, we find more evidence against than in favor of catastrophe aversion—the preference for a mean-preserving contraction of the loss distribution—and discuss a number of possible behavioral explanations. Next, we turn to social choice theory and examine how various social welfare functions handle catastrophe risk. We explain why catastrophe aversion may be in conflict with equity concerns and other-regarding preferences. Finally, we discuss current approaches to evaluate and regulate catastrophe risk.     

On the Economic Meaning of Machina's Fréchet Differentiability Assumption

This note shows that M. J. Machina's (1982, Econometrica50, 277-323) assumption that preferences over lotteries are smooth has some economic implications. We show that Fréchet differentiability implies that preferences represent second order risk aversion (as well as conditional second order risk aversion). This implies, among other things, that decision makers buy full insurance only at the absence of marginal loading. We also show that with constant absolute and relative risk aversion, expected value maximization, second order risk aversion, and Fréchet differentiability are equivalent. Journal of Economic Literature Classification Number: D81.     

Risk aversion,prudence and temperance: An experiment in gain and loss

We characterize the individual's attitude towards risk, prudence and temperance in the gain and loss domains. We analyze the links between the three features of preferences for a given domain and between domains for each feature of preferences. Consequently, the reflection effect, the mixed risk aversion and the risk apportionment, are key concepts of our study. We also display some determinants for risk aversion, prudence and temperance in each domain. To do this, we conducted a lab experiment with students eliciting risk aversion, prudence and temperance in the two domains, and collected information about each subject's characteristics.     

Housing and relative risk aversion

This paper derives closed-form and numerical solutions for relative risk aversion in a standard consumption-based model enriched with housing. The presence of housing enables the household to hedge against unexpected shocks and may decrease relative risk aversion. In addition, housing may generate state-dependent, time-varying risk aversion.     

Life with habit and expectation: A new explanation of equity premium puzzle

Previous writers have attempted to resolve the equity premium puzzle by employing a utility function that depends on current consumption minus (or relative to) past habit consumption. This paper points out that an individual's current utility may also depend upon how well off in the recent past he or she had expected to be today. Hence we add the concept “expectation formation” to the utility modification term in a model with a habit‐formation utility function. We apply the model to the equity premium puzzle and find that it is able to fit the data with a relatively low coefficient of relative risk aversion. Furthermore, we introduce an updated data sample and apply different values of discounting factors, and find that in all circumstances, the model is able to generate coefficients of risk aversion that are consistent with theory. Hence we conclude that the model is able to resolve the equity premium puzzle.     

The Determinants of Risk Aversion: The Role of Intergenerational Transmission

This article studies the relationship between risk attitudes and individual characteristics focusing on the intergenerational transmission of risk preferences. We use a dataset of a sample of Italian students which allows us to build different measures of risk aversion based, respectively, on a survey asking students about their willingness to invest in a risky asset and about their preferences for job security and on the results of an entry test using explicit penalty points in the case of incorrect answers. In line with the findings highlighted by the existing literature, we find that women are more risk averse than men, more patient subjects are more risk averse, while high‐ability students are less risk averse. As far as intergenerational transmission of preferences is concerned, it emerges that students whose fathers are entrepreneurs have a higher propensity to take risks, while students whose fathers are employed in the public sector are more risk averse. Only fathers matter with regards to their children's risk attitudes. These results are robust to different measures of risk aversion and to different specifications of our model.     

Behavioral Factors in Equity Allocation Decisions: A Large-Scale Experimental Study With Context

Traditional models of rational behavior struggle to explain how individuals allocate their money over a variety of financial instruments, including annuities, the stock market, and risk-free bonds. This study uses a large and diverse data set from an investment experiment that is rich in context and captures some important features of actual financial decision making. The focus of the article is to build on the literature documenting behavioral explanations for investment choices by studying the equity allocation decision across different financial tools. The authors find evidence that risk aversion, inertia, and excessive extrapolation are associated with investment behavior even when it is clear that return rates are independent across decision-making periods. Further, subjects have an asymmetric response to positive versus negative returns. In addition to having a novel experimental design, the authors also examine behavior before and after the recent financial crisis. The authors find that the financial crisis indirectly affects the first-stage annuity take-up rate in the experiments vis-à-vis a higher average level of risk aversion after the start of the crisis.     

The effects of risk preferences in mixed-strategy equilibria of games

We consider the effects of risk preferences in mixed-strategy equilibria of 2×2 games, provided such equilibria exist. We identify sufficient conditions under which the expected payoff in the mixed equilibrium increases or decreases with the degree of risk aversion. We find that (at least moderate degrees of) risk aversion will frequently be beneficial in mixed equilibria.     

Fixed versus variable rate loans under state-dependent preferences

This paper examines the optimal mix of fixed and variable rate loans of a competitive bank facing uncertain funding costs. The bank's preferences are state-dependent in that the utility function depends on a state variable. We show that the optimal amount of loans extended by the bank depends neither on the state-dependent preferences of the bank, nor on the joint distribution of the marginal cost of funds and the state variable. The bank, however, optimally lends less should it be forced to assume all interest rate risk by exclusively extending fixed rate loans. We show further that a non-positive spread between fixed and variable rate loans is no longer a necessary and sufficient condition for the bank to refrain from extending fixed rate loans should the marginal cost of funds be correlated with the state variable in the sense of expectation dependence. State-dependent preferences as such play a pivotal role in determining the bank's optimal choice between fixed and variable rate loans.     

Made for the job or by the job? A lab-in-the-field experiment with firefighters

A large body of evidence supports a negative association between risk aversion of workers and the level of risk they face in their occupations. This relationship could be explained by the self-selection of workers into jobs according to their risk preferences or by the effect on risk attitudes of occupations in which people face or witness dangerous situations. We use incentivized experiments to measure risk preferences among three different groups: experienced firefighters, novice firefighters, and students. We find that experienced firefighters are less risk-averse than novice firefighters, and these in turn are less risk-averse than students. The effects remain significant even after controlling for other relevant differences between these groups. Our findings suggest that the observed relationship between risk aversion and high-risk occupations is not only a result of self-selection but also of people’s preferences being shaped by their work lives.     

Risk and risk aversion when states of nature matter

When uncertainty is associated with some intrinsically relevant states of nature, there is no reason for an agent to base his or her preferences only on probability distribution of claims. We propose a new concept of risk for state-contingent claims that, unlike the standard concept of Rothschild–Stiglitz, does not identify state-contingent claims with their probability distribution. This concept is called mean-independent risk, and we provide a simple characterization in terms of marginal utilities of (non-expected) utility functions that exhibit aversion to mean-independent risk. We study implications of aversion to mean-independent risk on agents’ choices under uncertainty. This research has been supported by the NSF under Grant SES-0099206. I have benefited from numerous conversations with Rose-Anne Dana and illuminating discussions with Tadeusz Miłosz about the theory of subgradients.