Calibrating the wealth effects of decoupled payments: Does decreasing absolute risk aversion matter?

Arrow’s hypotheses regarding the relationship between wealth and risk aversion measures have formed the basis for a large body of empirical research and theory. For example, many have suggested that decoupled farm subsidy payments may increase production as they decrease farmers’ risk aversion. This paper develops a new calibration technique designed to measure the minimum change in concavity of a utility of wealth function necessary to describe a particular change in production behavior for some discrete change in wealth. I conclude that measurable changes in production levels should not be produced by changing levels of risk aversion except when wealth changes are a substantial portion of wealth. This tool draws into question the usefulness of Arrow’s hypotheses in many current applications.     

When Ross meets Bell: The linex utility function

At first glance, there would appear to be no relationship between Bell’s (1988) concept of one-switch utility functions and that of a stronger measure of risk aversion due to Ross (1981). We show however that specific assumptions about the behavior of the stronger measure of risk aversion also give rise to the linex utility function which belongs to the class of one-switch utility functions. In particular, this utility class is the only one that satisfies a stronger version of Kimball’s (1993) standard risk aversion over all levels of wealth. We apply our results to consider n$n$th-degree deteriorations in background risk and their effect on risk taking behavior.     

Rationalizing investors’ choices

Assuming that agents’ preferences satisfy first-order stochastic dominance, we show how the Expected Utility paradigm can rationalize all optimal investment choices: the optimal investment strategy in any behavioral law-invariant (state-independent) setting corresponds to the optimum for an expected utility maximizer with an explicitly derived concave non-decreasing utility function. This result enables us to infer the utility and risk aversion of agents from their investment choice in a non-parametric way. We relate the property of decreasing absolute risk aversion (DARA) to distributional properties of the terminal wealth and of the financial market. Specifically, we show that DARA is equivalent to a demand for a terminal wealth that has more spread than the opposite of the log pricing kernel at the investment horizon.     

Differences Between Short‐ and Long‐Term Risk Aversion: An Optimal Asset Allocation Perspective

This paper studies the long‐term asset allocation problem of an investor with different risk aversion attitudes to the short and the long term. We characterize investor's preferences with a utility function exhibiting a regime shift in risk aversion at some point of the multiperiod investment horizon that is estimated using threshold nonlinearity methods. Our empirical results for a portfolio of cash, bonds and stocks suggest that long‐term risk aversion is higher than short‐term risk aversion and increases with the investment horizon. The exposure of the investment portfolio from stocks to bonds and cash increases with the degree of risk aversion.     

Predictability of stock returns and asset allocation under structural breaks

This paper adopts a new approach that accounts for breaks to the parameters of return prediction models both in the historical estimation period and at future points. Empirically, we find evidence of multiple breaks in return prediction models based on the dividend yield or a short interest rate. Our analysis suggests that model instability is a very important source of investment risk for buy-and-hold investors with long horizons and that breaks can lead to a negative slope in the relationship between the investment horizon and the proportion of wealth that investors allocate to stocks. Once past and future breaks are considered, an investor with medium risk aversion reduces the allocation to stocks from close to 100% at short horizons to 10% at the five-year horizon. Welfare losses from ignoring breaks can amount to several hundred basis points per year for investors with long horizons.     

Optimal investment for executive stockholders with exponential utility

The scope of this paper is to enhance the model for the own-company stockholder (Desmettre et?al. in Math Methods Oper Res 72(3):347?C378, 2010), who can voluntarily performance-link his personal wealth to his management success by acquiring stocks in the own-company whose value he can directly influence via spending work effort. The executive is thereby characterized by a parameter of risk aversion and the two work effectiveness parameters inverse work productivity and disutility stress. We extend the model to a constant absolute risk aversion framework using an exponential utility/disutility setup. A closed-form solution is given for the optimal work effort an executive will apply and we derive the optimal investment strategies of the executive. Furthermore, we determine an up-front fair cash compensation applying an indifference utility rationale. Our study shows to a large extent that the results previously obtained are robust under the choice of the utility/disutility setup.     

Capital allocation to alternatives with a multivariate ladder gamma return distribution

This paper considers investment decision making when returns have a multivariate gamma distribution which has the particular correlation structure of Furman’s ladder gamma distribution. With an exponential utility function It is shown that there is a subset of the candidate investment opportunities to which investment should be allocated. This subset can be readily identified in a two step process that results in a list of candidate investments that is ranked in sequence of decreasing risk. The last investment opportunity on this list will be no risk cash. Investments are then selected from this list in sequence up to a cutoff point that depends on the investors capital and degree of risk aversion. If capital and degree of risk aversion are sufficiently large so that it is optimal to allocate some to no risk cash, then the capital allocated to each risky investment is a constant fraction of the total capital allocated to risky investments irrespective of how risk averse is the investor.     

Wealth Effects of International Investments and Agency Problems for Korean Multinational Firms

This paper recognizes the recent surge in cross‐border investments by MNCs from newly industrialized countries and investigates the wealth effects of FDI announcements by Korean firms, which are the leading FDI providers in Asia. The empirical results indicate that for Korean MNCs: 1) cross‐border investments increase shareholder wealth; and 2) they do not obtain the firm‐specific technological advantages over international competitors. The paper also presents evidence that cross‐border investments do not increase shareholder wealth for the 30 largest chaebol‐affiliates, and that shareholder wealth losses are greater when corporate ownership is concentrated, as suggested by Shleifer and Vishny (1997) and La Porta et al. (1998, 2000) .     

Equilibrium asset pricing with Epstein-Zin and loss-averse investors

We study multi-period equilibrium asset pricing in an economy with Epstein-Zin (EZ-) agents whose preferences for consumption are represented by recursive utility and with loss averse (LA-) agents who derive additional utility of gains and losses and are averse to losses. We propose an equilibrium gain-loss ratio for stocks and show that the LA-agents are more (less) risk averse than the EZ-agents if their degree of loss aversion is higher (lower) than this ratio. When all the agents have unitary relative risk aversion degree and elasticity of intertemporal substitution, we prove the existence and uniqueness of the equilibrium and the market dominance of the EZ-agents in the long run. Finally, we extend our results to the case in which the LA-agents use probability weighting in their evaluation of gains and losses.     

Developments in non-expected utility theories: an empirical study of risk aversion

This paper investigates different developments in non-expected utility theories. Our focus is to study the agent’s attitude towards risk in a context of monetary gambles. Based on simulated data of the “Deal or No Deal” TV game show, we first compare the performance of the expected utility model versus a loss-aversion model. We find that the loss-aversion model has a better performance compared to the expected utility model. We then study the attitude towards risk according to two parameters: the relative risk aversion coefficient defined over the value function and the probability weighting coefficient proposed by the Cumulative Prospect Theory. We find evidence for probability weighting being undertaken by contestants reflecting less risk aversion over large stakes. We also explore the performance of two models of rank-dependant utility: the Quiggin (1982) and the power probability weighting models. We find that the probability weighting coefficient is still significant for both models. Finally, we integrate initial wealth into the contestants’ preferences function and we show that the initial wealth level affects the estimates of risk attitudes.     

Risk Preferences and Asset Ownership: Integrating Prospect Theory and Transaction Cost Economics

We integrate prospect theory into the discussion of Transaction Cost Economics (TCE) to illustrate how risk aversion may affect integration decisions. In particular, we argue that risk aversion creates incentives to acquire assets in situations where neither opportunism nor transaction‐specific investments are present, provided the assets in question can change in value unpredictably during their use. Our theory illustrates that risk aversion could connect opportunism, asset specificity, and uncertainty with integration decisions in the presence of incomplete contracts. Our theory complements and extends TCE by showing the role of risk aversion in integration decisions under bounded rationality and contract incompleteness. Copyright © 2015 John Wiley & Sons, Ltd.     

Decreasing downside risk aversion and background risk

In this paper, we show that risk vulnerability can be associated with the concept of downside risk aversion (DRA) and an assumption about its behavior, namely that it is decreasing in wealth. Specifically, decreasing downside risk aversion in the Arrow–Pratt and Ross senses are respectively necessary and sufficient for a zero-mean background risk to raise the aversion to other independent risks.     

Does relative risk aversion vary with wealth? Evidence from households׳ portfolio choice data

We test whether relative risk aversion varies with wealth using the Panel Study of Income Dynamics data in the U.S. Our analytical results indicate the following implications. For each household, there are two channels through which the risky share responds to wealth fluctuations, the income channel and the habit channel. Across households, there are heterogeneous responses through both the habit channel and the income channel. Finally, two potential misspecification problems on time-varying relative risk aversion arise when both heterogeneous responses through the habit channel and the responses through the income channel are ignored. Our main empirical findings are to show the importance of the income channel and the heterogeneous responses, and to provide strong evidence of relative risk aversion varying with wealth, after correcting two misspecification problems.     

Risk aversion in RDEU

Various notions of risk aversion can be distinguished for the class of rank-dependent expected utility (RDEU) preferences. We discuss the relationships amongst five of these, and describe simple (testable) characterizations in terms of elementary probability transformations for all but the weakest notion. The paper also provides the first complete characterization of the RDEU orderings that are risk-averse in the sense of Jewitt [Jewitt, I., 1989. Choosing between risky prospects: the characterization of comparative static results and location independent risk. Management Science 35, 60–70]. We also extend Chew et al.’s [Chew, S.H., Karni, E., Safra, Z., 1987. Risk aversion in the theory of utility with rank-dependent probabilities. Journal of Economic Theory 42, 370–381] important characterization of strong risk aversion [Rothschild, M., Stiglitz, J.E., 1970. Increasing risk: I. A definition. Journal of Economic Theory 2, 225–243] by relaxing strict monotonicity and differentiability assumptions, and allowing for discontinuities in the probability transformation function. The important special case of maximin choice falls within this relaxed RDEU class. It is shown that any strongly risk-averse RDEU order is a convex combination of maximin and another RDEU order with concave utility and continuous, concave probability transformation. Our proof of the result on strong risk aversion is also simpler (as well as more general) than that of Chew et al. [Chew, S.H., Karni, E., Safra, Z., 1987. Risk aversion in the theory of utility with rank-dependent probabilities. Journal of Economic Theory 42, 370–381].     

Is insurance normal or inferior? -A regret theoretical approach-

This study considers how changes in wealth affect insurance demand when individuals suffer disutility from regret. Anticipated regret stems from a comparison between the ex-post maximum and actual wealth. We consider a situation wherein individuals maximize their expected utility incorporating anticipated regret. The wealth effect on insurance demand can be classified into the risk and the regret effects. These effects are determined by the properties of the utility function and the regret function. We show that insurance can be normal when individuals place weight on anticipated regret, even though the utility function exhibit decreasing absolute risk aversion. This result indicates that regret theory is a possible explanation to the wealth effect puzzle, in which insurance is normal from empirical observation, but it should be inferior by theoretical prediction under expected utility theory.     

Sales contests,promotion decisions and heterogeneous risk

This paper examines a general model of sales contests in which agents have heterogeneous attitudes toward risk. It shows that agents that are less risk averse have a higher probability of success. A corollary to this result shows that when absolute risk aversion is decreasing in wealth, wealthier agents have a higher probability of promotion. The same wealth effect makes it possible for more risk averse agents to take greater risks in a multi‐round promotion tournament. Next, a stability analysis shows that these equilibria are attractors under a best response dynamic. While it is well‐known that sales contests can be an effective incentive device for eliciting effort from employees, this research suggests the added benefit that when used as a basis for promotion decisions, sales contests act to filter the hardest working agents to the top of the corporate hierarchy. Copyright © 2008 John Wiley & Sons, Ltd.     

What drives equity market non-participation?

This paper produces endogenous equity market non-participation in an economy with uninsurable labor income risk and heterogeneous skill levels. Prudence and impatience generate stationary household wealth levels that depend on income. Skill, and therefore labor income, heterogeneity leads to wealth heterogeneity, with high skill households accumulating high wealth and low skill households accumulating low wealth. A HARA class utility with subsistence consumption requirement generates decreasing RRA with respect to household wealth. Consequently, low skill households also have significantly higher local RRA. In addition low skill households have less human capital and therefore have lower diversification demand for stocks. Low wealth, high RRA and low diversification demand predicts that low skill households do not hold stocks in the face of a moderate ownership cost. In addition, the model predicts a humped lifecycle wealth accumulation pattern and a humped lifecycle stock allocation pattern. I also find that stockholders exhibit a greater aggregate willingness to supply risky capital during the expansion phase of a business cycle, despite the lower conditional equity premium.     

Why do reits engage in open-market repurchases?

We investigate why real estate investment trusts (REITs) still engage in open-market repurchases given the unique 95 percent payout requirement. We provide evidence that the motivations for REITs to repurchase stocks are different from those of unregulated firms found by the existing literature. Instead of using funds from operations, REITs appear to finance stock repurchases by issuing new debt and/or selling assets and investments. Unlike ordinary corporations, REITs stock repurchases are not motivated by cash distribution, capital structure, and undervalued equity. However, REITs are more likely to buy back stocks when employees own a higher level of stock options. Also, we find that REITs are more likely to buy back stocks when they have a higher institutional ownership and/or inside ownership.     

Optimal consumption and investment under time-varying relative risk aversion

We consider the continuous time consumption-investment problem originally formalized and solved by Merton in case of constant relative risk aversion. We present a complete solution for the case where relative risk aversion with respect to consumption varies with time, having in mind an investor with age-dependent risk aversion. This provides a new motivation for life-cycle investment rules. We study the optimal consumption and investment rules, in particular in the case where the relative risk aversion with respect to consumption is increasing with age.     

RISE OF THE FIDUCIARY STATE: A SURVEY OF SOVEREIGN WEALTH FUND RESEARCH

We survey the literature documenting the rise of sovereign wealth funds (SWFs), which, with assets under management of over $5.4 trillion at year‐end 2014, are a major force in global finance. Research papers have analyzed the evolution of SWFs from stabilization funds to stand‐alone wealth management funds; we both survey this research and show that more than 25 countries have launched or proposed new SWFs since January 2008. The most salient and controversial feature of SWFs is that they are state‐owned; we survey the existing literature on state ownership and discuss what this predicts about the efficiency and beneficence of government control of SWF assets. We discuss the documented importance of SWF funding sources (oil sales revenues versus excess reserves from export earnings) and survey the normative literature describing how SWFs should allocate funds. We then summarize the empirical literature studying how SWFs actually do allocate funds—across asset classes, geographically, and across industries. We document that most SWF equity investments in publicly traded firms involve cross‐border purchases of sizeable minority stakes (median around 20%) in target firms, with a strong preference for investments in the financial sector. Next, we assess empirical studies examining the impact of SWF stock investments on target firm financial and operating performance, and find universal support for a positive announcement period stock price increase of 1–3%. This, however, is significantly lower than the 5% abnormal return documented for stock purchases by comparable privately owned financial investors in recent studies, indicating a “sovereign wealth fund discount.” We conclude by summarizing the lessons of SWF research and pointing out unresolved issues.