A flexible approach to estimate the equity premium

In this article, we estimate the risk aversion for households accounting for their lifetime consumption risk. Households take into account the overall lifetime uninsured consumption risk when optimizing their resources, which based on micro data varies across households. Thus, representing households’ consumption by merging cross-sectional micro data into the single Euler equation (the common approach for estimating risk aversion based on consumption-based asset pricing theory) may be too rough an approximation, leading to biased results with respect to risk aversion. Our results suggest that consumption-based asset pricing models that were rejected in several studies do in fact fit the data when we account for households’ lifetime consumption risk. This finding also has implications for long-run aggregate consumption-based asset pricing models.     

Risk Aversion and International Markets: Does Asset Trade Smooth Real Income?*

In a two-country model, complete asset markets do not guarantee that individuals will choose to eliminate all (diverifiable) risk in aggregate consumption. the presence of nontraded goods forces individuals to choose between reducing uncertainty in aggregate consumption and in the composition between traded and nontraded goods. This choice depends on a comparison of the standard coefficient of relative risk aversion with a second type of risk aversion that becomes relevant when nontraded goods are present, one that captures aversion to risk in composition. Regardless of the decision made, asset trade always reduces the risk premium.     

Endogenous time-varying risk aversion and asset returns

Stylized facts about statistical properties for short horizon returns in financial markets have been identified in the literature, but a satisfactory understanding for their manifestation is yet to be achieved. In this work, we show that a simple asset pricing model with representative agent is able to generate time series of returns that replicate such stylized facts if the risk aversion coefficient is allowed to change endogenously over time in response to unexpected excess returns under evolutionary forces. The same model, under constant risk aversion, would instead generate returns that are essentially Gaussian. We conclude that an endogenous time-varying risk aversion represents a very parsimonious way to make the model match real data on key statistical properties, and therefore deserves careful consideration from economists and practitioners alike.     

考虑基准资产的动态投资组合选取

职业基金经理的目标经常是希望自己的投资组合以稳定的表现能够超越所某一基准资产或组合。因此本文给出一个考虑基准资产的动态均值——方差投资组合选取模型。假设状态之间的转移遵循马氏过程,给定状态转移矩阵,可以得到对风险资产最优投入的解析表达式。此表达式表明对风险资产的投入由三项构成,前两项是不考虑基准资产时对风险资产的投入,最后一项与基准资产有关;在基准资产上的权重由基准资产收益的大小来决定,与积极投资组合管理者的风险厌恶程度无关;随着风险厌恶程度的增加,管理者会减少在风险资产上的投入。数值分析显示考虑基准资产的投资组合是一个积极的投资组合。     

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.     

Optimal hedge ratio under a subjective re-weighting of the original measure

In this article we study a risk-minimizing hedge ratio with futures contracts, where the risk of the hedged portfolio is measured through a spectral risk measure (SRM), thus incorporating the degree of agent’s risk aversion. We empirically estimate the optimal hedge ratio (OHR) using a long time series of UK and US equity indices, the EURUSD and EURGBP exchange rates and four liquid commodities (Brent crude oil, corn, gold and copper), to represent different asset classes. Comparing the results with common OHRs (such as the minimum variance and the minimum expected shortfall), we find that the agent’s risk aversion has a material impact, and should not be ignored in risk management.     

Risk and intertemporal substitution: Livestock portfolios and off-take among Kenyan pastoralists

Most decisions involve variability in two dimensions: uncertainty across states of nature and fluctuations over time. The stakes involved in tradeoffs between these variability dimensions are especially high for the poor who have difficulty managing and recovering from shocks. We assume Epstein and Zin recursive preferences and estimate risk aversion and intertemporal substitution as distinct preferences using data from Kenyan herders. Results suggest that the assumption implicit in additive expected utility models that relative risk aversion (RRA) is the inverse of the elasticity of intertemporal substitution (EIS) is flawed. Specifically, our RRA and EIS estimates are consistent with a preference for the early resolution of uncertainty, which we believe is driven importantly by the instrumental value of early uncertainty resolution. This same preference pattern is consistent with asset smoothing in response to a dynamic asset threshold.     

Marginal risk aversion and preferences in a betting market

An individual's behavioural attitudes toward variance and non-symmetry in the payoff distributions of pari-mutuel gambles are empirically examined using the von Neumann - Morgenstern expected utility of wealth paradigm. Preferences over payoff distributions for a representative bettor are estimated from observed payoffs at a greyhound racetrack. The results indicate that the representative bettor exhibits increasing absolute risk aversion and, given that the representative bettor is locally non-satiated with regard to wealth, exhibits preference for variance and aversion to positive skewness in the payoff distributions of the gambles examined.     

Accounting for the impact of higher order moments in foreign equity option pricing model

This paper investigates the pricing of foreign equity option whose value depends on foreign equity prices and exchange rate. We assume that the underlying asset returns of foreign equity option is not a Brownian motion, and use the Gram-Charlier series expansion to augment a normal density with two additional terms to capture the effects of skewness and kurtosis. The empirical study shows that the higher order moments (skewness and kurtosis) clearly affect the estimated prices of foreign equity options. This approach enables us to capture more accurately the foreign equity option prices.     

The demand of energy from an optimal portfolio choice perspective

This paper analyses the demand for energy sector by employing a model form strategic asset allocation literature and quantifying the welfare losses incurred by an investor due to sub-optimal asset allocation. Our sample group includes fifteen major oil producing and consuming countries. We analyze the short-run and long-run desirability of energy sector in the optimal portfolio of an investor with varying level of risk aversion; that is, risk averse and risk tolerant investors. Our results show that the portfolio demand for energy sector is myopic or short-run. For long-run investors, investing in a portfolio of equity market and government bonds is a better proposition. In addition, energy sector is more desirable for risk tolerant investors.     

Career Risk

The author defines asset manager career risk as the risk that asset owners terminate an existing manager due to an extended period of underperformance relative to a benchmark or peer group even though the manager has skill (defined here as positive information ratio). The author shows that myopic loss aversion gives rise to career risk even for skilled asset managers and that the current industry practice of quarterly or annual performance evaluations puts even the most skilled asset managers at risk of undue termination. The author also investigates how a reduction of tracking error leads to a reduction of career risk even though this comes at the expense of lower long-term performance. Finally, the author computes the minimum evaluation period needed to reduce career risk for asset managers of different skill levels.     

Systematic skewness in asset pricing: an empirical examination of the Taiwan stock market

This paper is an empirical study of asset pricing with the systematic skewness in the pricing model. We adopt the Fama-French three-factor model, which incorporates the firm-size and book-to-market ratio in asset pricing as the base case, and then includes the skewness factor used by Harvey and Siddique in the pricing model. The evidence shows that systematic skewness is significant and might be important in asset pricing when portfolios are formed by industry, firm-size, book-to-market, or momentum strategies. When portfolios are constructed by momentum or coskewness strategies, lower momentum, or lower coskewness portfolios exhibit higher skewness and higher kurtosis. When portfolios are grouped by excess returns, it is seen that the average excess return is positively correlated with size and coskewness. Thus the systematic skewness is closely related to firm size. And the relationship between systematic skewness and excess return is obscured by the reverse firm-size effect.     

Estimating a continuous time portfolio selection model: An application with UK data

An empirical assessment of a continuous time portfolio selection model is studied for the UK economy between 1970 and 1996. The estimates obtained from this study are both statistically significant and consistent with the model's predictions. The estimate of risk aversion parameter refers to low risk aversion which is consistent with the optimal risky asset holding parameter. Furthermore, the estimated parameters of the asset pricing relationship are also found to be consistent with the historical values of the stock prices. First version received: February 1998/final version received: March 1999     

Invariant risk attitudes

Concepts of constant absolute risk aversion and constant relative risk aversion have proved useful in the analysis of choice under uncertainty, but are quite restrictive, particularly when they are imposed jointly. A generalization of constant risk aversion, referred to as invariant risk aversion is developed. Invariant risk aversion is closely related to the possibility of representing preferences over state-contingent income vectors in terms of two parameters, the mean and a linearly homogeneous, translation-invariant index of riskiness. The best-known index with such properties is the standard deviation. The properties of the capital asset pricing model, usually expressed in terms of the mean and standard deviation, may be extended to the case of general invariant preferences.     

Asset pricing in a production economy with Chew–Dekel preferences

In this paper we provide a thorough characterization of the asset returns implied by a simple general equilibrium production economy with Chew–Dekel risk preferences and convex capital adjustment costs. When households display levels of disappointment aversion consistent with the experimental evidence, a version of the model parameterized to match the volatility of output and consumption growth generates unconditional expected asset returns and price of risk in line with the historical data. For the model with Epstein–Zin preferences to generate similar statistics, the relative risk aversion coefficient needs to be about 55, two orders of magnitude higher than the available estimates. We argue that this is not surprising, given the limited risk imposed on agents by a reasonably calibrated stochastic growth model.     

Risk Aversion, Wealth and International Capital Flows

This paper models capital flows in a rich–poor, two-country, two-asset, dual-risk economy with decreasing absolute risk aversion. The first risk is asset-specific. The second is political and dependent; i.e., related to particular asset outcomes. In this framework, the role of wealth in determining asset preferences is demonstrated, and the conditions for diversification are derived. The wealth effect and diversification conditions are applied to explain ongoing two-way capital flows in general as well as the apparent paradox of domestic capital flight with simultaneous inflows of foreign capital.     

社会地位、非期望效用函数、资产定价和经济增长

本文利用非期望偏好结构 ,讨论消费和资产收益的时间序列行为。在这种递归偏好结构中 ,投资者积累财富不仅仅为了消费 ,也为了财富所带来的社会地位 ,我们研究这一假设对消费、投资组合策略、证券市场价格以及经济增长的影响 ,并利用所得到的定价方程讨论风险溢金问题。     

Risk preference and indirect utility in portfolio-choice problems

We consider a portfolio-choice problem with one risky and one safe asset, where the utility function exhibits decreasing absolute risk aversion (DARA). We show that the indirect utility function of the portfolio-choice problem need not exhibit DARA. However, if the (optimal) marginal propensity to invest is positive for both assets, which is true when the utility function exhibits nondecreasing relative risk aversion, then the DARA property is carried over from the direct to the indirect utility function.     

Does education affect risk aversion? Evidence from the British education reform

Individual risk attitudes are frequently used to predict decisions regarding education. However, using risk attitudes as a control variable for decisions about education has been criticized because of the potential for reverse causality. Causality between risk aversion and education is unclear, and disentangling the different directions it may run is difficult. In this study, we make the first attempt to investigate the causal effects of education on risk aversion by examining the British education reform of 1972, which increased the duration of compulsory schooling from age 15 to age 16. Using regression discontinuity design, we find that this additional year of schooling increases the level of risk aversion, which is contrary to previous findings in the literature, and we also find that this result is particularly strong for individuals with less education. This positive causal effect of education on risk aversion might alleviate concerns regarding the endogeneity/reverse causality issue when using risk aversion as an explanatory variable for decisions about education; the sign would remain credible because the coefficients are underestimated.     

The role of transaction costs and risk aversion when selecting between one and two regimes for portfolio models

Estimation of the inputs is the main problem when applying portfolio analysis, and Markov regime-switching models have been shown to improve these estimates. We investigate whether the use of two-regime models remains superior across a range of values of risk aversion and transaction costs, in the presence of skewness and kurtosis and no short sales. Our results for US data suggest that, due to differences in their risk preferences and transactions costs, most retail investors may prefer to use one-regime models, while investment banks may prefer to use two-regime models.