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].     

Risk aversion,public disclosure,and partially informed outsiders

In this paper, we examine the impact of public disclosure and partially informed outsiders on a risk-averse insider’s trading behavior, market efficiency, and market depth. In our model, under disclosure requirements, except for the final auction, market depth is the same at every auction. When informed outsiders are risk-neutral, in contrast to the case of a risk-averse insider with no informed outsiders, the insider is more concerned about the uncertainty about future price risk. When the number of informed outsiders increases, market liquidity improves, and the insider increases the variance of her random component to conceal her trading strategy. However, since the insider is relatively more risk-averse, she pays less attention to doing this on her own. Besides, the order flow provided by informed outsiders and randomly added by the insider injects additional liquidity into the market. When informed outsiders are risk-averse, compared to risk-neutral informed outsiders, an insider is most concerned about trading risks brought by informed outsiders at the beginning of trading. Furthermore, whether the trader is an insider or informed outsider, the more risk-averse trader has lower expected profits. Moreover, outsiders’ greater risk aversion leads to a smaller market depth.     

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.     

项目招标中的风险规避

项目招标过程中,内外因素的变化可能导致项目变得复杂,又由于人的条件和控制能力有限,使项目招标更具风险。文章通过对项目招标风险的分析,结合项目招标的意义,找出问题,提出规避或减少项目招标风险的对策。     

Uncertain dynamics,correlation effects,and robust investment decisions

We analyze a firm׳s investment problem when the dynamics of project value and investment cost are uncertain. We provide an explicit solution using a robust method for an ambiguity averse firm taking this into account. Ambiguity aversion regarding a common risk factor impacts differently than ambiguity aversion regarding investment cost residual risk. Correlation between project value and investment cost matters; ambiguity aversion regarding common risk can decrease the investment probability only if correlation is positive. Ambiguity aversion regarding residual risk always increases the investment probability. When only project value is risky, volatility can monotonically decrease the investment threshold; this does not hold with the multiple prior method.     

Risk aversion in the small and Jensen inequalities

This paper investigates further the connection between the concept of risk-aversion and the property of concavity of the utility function of the agent. Improved specifications of the Jensen inequality are used for stating a number of local properties of certainty equivalents under milder regularity assumptions on the utility function than those made in literature. The paper concludes by illustrating a few applications of this theory.

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Riassunto Si approfondisce lo studio del legame tra il concetto di avversione al rischio e quello di concavità della funzione di utilità dell'agente. Nel lavoro vengono utilizzate estesamente versioni migliorate della disuguaglianza di Jensen che consentono di fornire alcuni risultati locali sotto ipotesi deboli di regolarità sulla funzione di utilità. Il lavoro termina fornendo alcune applicazioni di questa analisi nell'ambito della teoria delle scelte in ambito rischioso.

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This research was partially supported by M.U.R.S.T. Dinamiche Non-Lineari e Applicazioni alle Scienze Economiche e Sociali.

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Although the paper is co-authoured, we specify that Sections 3 and 4 are to be attributed to Luigi Montrucchio, while Sections 1, 2 and 5 to Luisa Tibiletti.     

Risk aversion for variational and multiple-prior preferences

The objective of this paper is to identify variational preferences and multiple-prior (maxmin) expected utility functions that exhibit aversion to risk under some probability measure from among the priors. Risk aversion has profound implications on agents’ choices and on market prices and allocations. Our approach to risk aversion relies on the theory of mean-independent risk of Werner (2009). We identify necessary and sufficient conditions for risk aversion of convex variational preferences and concave multiple-prior expected utilities. The conditions are stability of the cost function and of the set of probability priors, respectively, with respect to a probability measure. The two stability properties are new concepts. We show that cost functions defined by the relative entropy distance or other divergence distances have that property. Set of priors defined as cores of convex distortions of probability measures or neighborhoods in divergence distances have that property, too.     

The who,why and where of Japanese manufacturing investment in the UK

This paper analyses the recent growth of Japanese manufacturing investment in the UK, focusing upon the type of companies that are being created.     

Optimal investment and reinsurance policies for an insurer with ambiguity aversion

In this paper, we study the optimal investment and reinsurance problem for an insurer based on the variance premium principle, in which three cases are considered. First, we assume that the financial market does not exist. The insurer only holds an insurance business, and the optimal reinsurance problem is studied. Subsequently, we assume that there exists a financial market with an accurately modeled risky asset. The optimal investment and reinsurance problem is investigated under these conditions. Finally, we consider the general case in which the insurer is concerned about the model ambiguity of both the insurance market and the financial market. In all three cases, the value function is set to maximize the expected utility of terminal wealth. By employing the dynamic programming principle, we derive the Hamilton–Jacobi–Bellman (HJB) equations, which are satisfied by the value functions and obtain closed-form solutions for optimal reinsurance and investment policies and the value functions in all three cases. Most interestingly, we elucidate how investment improves the insurer’s utility and find that the existence of ambiguity can significantly affect the optimal policies and value functions. We also compare the ambiguities in the two markets and find that ambiguity in the insurance market has much more significant impact on the value function than the ambiguity in the financial market. It implies that it is more valuable for insurer to precisely evaluate the insurance risk. We also provide some numerical examples and economic explanations to illustrate our results.     

Risk aversion in a model of endogenous growth

Despite the evidence on incomplete financial markets and substantial risk being borne by innovators, current models of growth through creative destruction predominantly model innovators’ as risk neutral. Risk aversion is expected to reduce the incentive to innovate and we might fear that without insurance innovation completely disappears in the long run. The present paper introduces risk averse agents into an occupational choice model of endogenous growth in which insurance against failure to innovate is not available. We derive a clear negative relationship between the level of risk aversion and long run growth. Surprisingly, we show that in an equilibrium there exists a cut-off value of risk aversion below which the growth rate of the mass of innovators tends to a strictly positive constant. In this case, innovation persists on the long run and consumption per capita grows at a strictly positive rate. On the other hand, for levels of risk aversion above the cut-off value, the economy eventually stagnates.     

Risk aversion and risk vulnerability in the continuous and discrete case

This paper discusses utility functions for money, where allowable money values are from an arbitrary nonempty closed subset of the real numbers. Thus, the classical case, where this subset is a closed interval (bounded or not) of the real line, is included in the study. The discrete case, where this subset is the set of all integer numbers, is also included. In a sense, the discrete case (which has not been addressed in the literature thus far) is more suitable for real-world applications than the continuous case. In this general setting, the concepts of risk aversion and risk premium are defined, an analogue of Pratt’s fundamental theorem is proved, and temperance, prudence, and risk vulnerability are examined.     

国际分工格局下的中国制造业与外资引入

文章首先概述了中国制造业的发展特征,在中国制造业日益纳入国际分工的格局下,对制造业的比较优势进行了实证分析,在此基础上明确分析了中国制造业"世界制造中心"的定位和国际竞争力,最后阐述了制造业在对外开放中外资引入的选择性吸收策略。     

Risk aversion,forward markets and the competitive labor-managed firm under price uncertainty

This paper examines the behavior of a labor-managed co-operative firm which can sell its output in both spot and forward markets, where the random spot price varies between a price floor and a price ceiling but the forward price is a known parameter. We demonstrate that a risk-averse labor-managed firm will base its production decision on the forward market price, and that risk aversion is sufficient to give the direct relationship between a change in uncertainty and the amount hedged in the forward market.     

Feasible sets,comparative risk aversion,and comparative uncertainty aversion in bargaining

We study feasible sets of the bargaining problem under two different assumptions: the players are subjective expected utility maximizers or the players are Choquet expected utility maximizers. For the latter case, we consider the effects on bargaining solutions when players become more risk averse and when they become more uncertainty averse.     

Foreign direct investment and productivity spillovers in the Chinese manufacturing sector

In this paper a simple simultaneous model is constructed to examine whether there are productivity spillovers from both the presence of foreign direct investment (FDI) and competition between local and foreign firms. The model is tested on the data from China’s latest industrial census in 1995. The results indicate that the extent to which spillovers occur varies with different types of ownership of local firms and of FDI. While collective- and private-owned enterprises benefit from demonstration and contagion effects from foreign presence, productivity gains of state-owned enterprises largely come from competition with foreign firms. Productivities of local and foreign firms are jointly determined. Evidence also suggests that market-oriented FDI tends to generate spillovers mainly via competition with local firms.     

Risk aversion and business cycles: An empirical analysis

Unlike investors, who tend to maintain highly-diversified portfolios, private entrepreneurs usually lack access to complete risk-pooling for idiosyncratic risks, thus more directly internalize the cost of volatility. Risk aversion, however, modifies the optimal contract between entrepreneurs and lenders by incorporating the risk premium that entrepreneurs demand for the uninsurable risk: the private equity premium. Consequently, real shocks tend to be amplified as changes in entrepreneurs’ net worth affect the private equity premium and so the rental rate of capital, investment and output. This theoretical framework suggests that economies where the private entrepreneurial sector is a relatively larger, and therefore more vulnerable to uninsurable risk, all else equal, should present higher volatility. I test this prediction by (1) conducting a simple reduced-form analysis that shows that output volatility is negatively associated with the relative importance of the corporate vs. the privately-held sector; and (2) estimating the model's structural parameters. Intuitively, countries where private entrepreneurs are predominant and so risk aversion is likely to impose stronger impacts, positive risk aversion coefficients should be found. Results suggest that risk aversion is empirically more relevant for economies like Argentina, Brazil, Chile, Korea, Mexico and Thailand than for Canada, France, Germany, the U.K. and the U.S.     

Risk aversion in Entrepreneurship Panels: Measurement Problems and Alternative Explanations

In this study, we investigate the pitfalls associated with measuring risk aversion within studies of entrepreneurial behavior. First, we raise substantial concerns as to whether standard questions employed can be used to infer risk aversion among nascent entrepreneurs. In our work we show that the US, Canadian and Swedish panel study datasets do not offer evidence that entrepreneurs are more risk averse than non‐entrepreneurs. In fact, we show that the measurements used for risk aversion in these studies are not compatible with classic expected utility theory. Furthermore, our analysis reveals that probability weighting may even counteract the respondent's risk attitude. Therefore, inferring the respondent's risk attitude from choices in the panel study datasets can be misleading in the presence of probability weighting. We therefore suggest that alternative theories of decision making under risk, like prospect theory, are relevant and should be taken into account in future studies on entrepreneurship. Copyright © 2017 John Wiley & Sons, Ltd.     

Risk aversion and asymmetry in procurement auctions: Identification,estimation and application to construction procurements

This article studies a model of asymmetric risk averse bidding within the independent private value paradigm. The inherent asymmetry in cost and risk aversion imposes an original restriction on the observed bid data, an exact equality which leads to the model semiparametric identification and estimation. The unobserved arguments of this equality need to be simulated in order to estimate the bidders’ Constant Relative Risk Aversion or Constant Absolute Risk Aversion parameters and their heterogeneous cost distributions. In the Los Angeles City Hall construction contracts offered between 1994 and 2003, the model and methodology help reveal that financial asymmetries affect the firms’ cost distribution, while experience influences their degree of risk aversion.     

Idiosyncratic risk,market risk and correlation dynamics in the US real estate investment trusts

This study examines total, market and idiosyncratic risk and correlation dynamics using weekly return data on two US REIT firm samples from 1988 to 2008. We find that both market and idiosyncratic variance are time-varying and that idiosyncratic variance represents a dominant component of a REIT firm’s total variance. We find a decline in idiosyncratic risk as well as a rise in average REIT correlation during the new REIT era, from 1993 to 2008. This recent downward trend of idiosyncratic risk among REITs is different to the stylized upward trend of idiosyncratic risk among stocks. There is bi-lateral Granger causality between the market and idiosyncratic risks. Finally, we detect a positive relationship between the idiosyncratic risk and expected returns, implying that the risk premium of REITs is positively related to the idiosyncratic risk during the period new REIT era, 1993–2008. Our results have important asset-pricing implications for under-diversified investors.     

Risk aversion in the supply chain: Evidence from replenishment decisions

This study investigates the impact of individual risk aversion on replenishment decisions in a multi-echelon supply chain, and explores whether this impact is affected by experiential learning. The methodology applied is that of observational studies, while the multi-echelon supply chain is modeled through the classical Beer Game. Participants in the study are purchasing and supply chain professionals. Results suggest that risk aversion leads to higher orders, Risk aversion persists even after experience of the game has been gained.