EXPECTATIONS‐BASED REFERENCE‐DEPENDENT PREFERENCES AND ASSET PRICING

This paper explores the quantitative asset‐pricing implications of expectations‐based reference‐dependent preferences, as introduced by Koszegi and Rabin (2009, American Economic Review, 99(3), 909–936), in an otherwise traditional Lucas‐tree model. I find that the model easily succeeds in matching the historical equity premium and its variability when the preference parameters are calibrated in line with micro evidence. The equity premium is high because expectations‐based loss aversion makes uncertain fluctuations in consumption more painful. Additionally, loss aversion introduces variation in returns because unexpected cuts in consumption are particularly painful, and the agent wants to postpone such cuts to let his reference point decrease. This variation generates strong predictability. However, it also causes counterfactually high volatility in the risk‐free rate, which I address by allowing for variation in expected consumption growth, heteroskedasticity in consumption growth, time‐variant disaster risk, and sluggish belief updating.     

A Parsimonious Macroeconomic Model for Asset Pricing

I study asset prices in a two‐agent macroeconomic model with two key features: limited stock market participation and heterogeneity in the elasticity of intertemporal substitution in consumption (EIS). The model is consistent with some prominent features of asset prices, such as a high equity premium, relatively smooth interest rates, procyclical stock prices, and countercyclical variation in the equity premium, its volatility, and in the Sharpe ratio. In this model, the risk‐free asset market plays a central role by allowing non‐stockholders (with low EIS) to smooth the fluctuations in their labor income. This process concentrates non‐stockholders' labor income risk among a small group of stockholders, who then demand a high premium for bearing the aggregate equity risk. Furthermore, this mechanism is consistent with the very small share of aggregate wealth held by non‐stockholders in the U.S. data, which has proved problematic for previous models with limited participation. I show that this large wealth inequality is also important for the model's ability to generate a countercyclical equity premium. When it comes to business cycle performance, the model's progress has been more limited: consumption is still too volatile compared to the data, whereas investment is still too smooth. These are important areas for potential improvement in this framework.     

Ambiguity,Risk, and Asset Returns in Continuous Time

Models of utility in stochastic continuous–time settings typically assume that beliefs are represented by a probability measure, hence ruling out a priori any concern with ambiguity. This paper formulates a continuous–time intertemporal version of multiple–priors utility, where aversion to ambiguity is admissible. In a representative agent asset market setting, the model delivers restrictions on excess returns that admit interpretations reflecting a premium for risk and a separate premium for ambiguity.     

参数暧昧环境下投资者决策与管制措施研究—基于随机禀赋与风险资产之间相关系数暧昧性的视角

假定全融市场中简单投资者具有暧昧厌恶偏好,在期末获得 1个单位随机禀赋（非全融资产收益）,而当前时刻他们对随机禀赋与风险资产未来收益之间的相关系数存在暧昧性,考察这种暧昧性对资产定价和社会福利的影响．研究表明相关系数暧昧性将导致投资者有限参与和资产定价扭曲．如果随机禀赋与凤险资产负相关,且凤险资产权益溢价为正,则简单投资者的超额收益为正,如果不相关,或者凤险资产权益溢价为零,则简单投资者无法获得超额收益,其它情况下简单投资者的超额收益为负．为缓解参数暧昧性,提高投资者参与市场的积极性,市场管理者可能实施提高复杂投资者的准入门槛、增强信息披露等管制措施．进一步研究发现,提高复杂投资者的准入门槛将减少其投资者占比,降低社会福利水平,而加强信息披露,提高市场透明度的措施可以提高社会福利水平．     

突发信息影响下的投资、消费及风险溢价

本文在CCAPM模型及行为经济学理论基础上建立突发信息影响下的资产定价模型,借此探讨突发信息对投资者主观决策以及风险溢价的影响,并利用数值迭代法给出了风险溢价的数值解。研究结果表明:突发信息所产生的正面影响会提高风险溢价,反之则降低溢价值,为解释"追涨杀跌"现象提供新视角;同时发现,投资者先期投资决策的结果好坏与风险溢价呈正向关系。最后利用中美两国证券市场数据进行数据模拟,结果表明本模型较好的避免了"股权溢价之谜"和"无风险利率之谜"。     

Alpha as Ambiguity: Robust Mean‐Variance Portfolio Analysis

We derive the analogue of the classic Arrow–Pratt approximation of the certainty equivalent under model uncertainty as described by the smooth model of decision making under ambiguity of Klibanoff, Marinacci, and Mukerji (2005). We study its scope by deriving a tractable mean‐variance model adjusted for ambiguity and solving the corresponding portfolio allocation problem. In the problem with a risk‐free asset, a risky asset, and an ambiguous asset, we find that portfolio rebalancing in response to higher ambiguity aversion only depends on the ambiguous asset's alpha, setting the performance of the risky asset as benchmark. In particular, a positive alpha corresponds to a long position in the ambiguous asset, a negative alpha corresponds to a short position in the ambiguous asset, and greater ambiguity aversion reduces optimal exposure to ambiguity. The analytical tractability of the enhanced Arrow–Pratt approximation renders our model especially well suited for calibration exercises aimed at exploring the consequences of model uncertainty on equilibrium asset prices.     

中国股市总流动性与资产定价关系实证研究

我们建立了一个包含市场风险和两种流动性风险的三因素资产定价模型,研究中国股市总的市场流动性风险是否在资产定价中得到了反映,其中流动性风险包括用协方差度量的市场收益对总流动性的敏感性风险和用方差度量的总流动性的波动性风险。研究结果表明,中国股市不仅存在显著的市场风险溢价,而且存在显著的流动性风险溢价,而流动性风险中市场收益对总流动性的敏感性风险对资产定价的影响更为显著。     

On the Size Distribution of Macroeconomic Disasters

The coefficient of relative risk aversion is a key parameter for analyses of behavior toward risk, but good estimates of this parameter do not exist. A promising place for reliable estimation is rare macroeconomic disasters, which have a major influence on the equity premium. The premium depends on the probability and size distribution of disasters, gauged by proportionate declines in per capita consumption or gross domestic product. Long‐term national‐accounts data for 36 countries provide a large sample of disasters of magnitude 10% or more. A power‐law density provides a good fit to the size distribution, and the upper‐tail exponent, α, is estimated to be around 4. A higher α signifies a thinner tail and, therefore, a lower equity premium, whereas a higher coefficient of relative risk aversion, γ, implies a higher premium. The premium is finite if α > γ. The observed premium of 5% generates an estimated γ close to 3, with a 95% confidence interval of 2 to 4. The results are robust to uncertainty about the values of the disaster probability and the equity premium, and can accommodate seemingly paradoxical situations in which the equity premium may appear to be infinite.     

时变风险厌恶下的期权定价——基于上证50ETF期权的实证研究

传统的随机波动率（SV）期权定价是在投资者具有常数风险偏好假设下进行的.但近年来越来越多的研究表明,市场参与者具有时变风险厌恶特征.基于此,本文对时变风险厌恶条件下的期权定价问题进行深入研究.首先,对传统的（非仿射）常数风险厌恶SV（CRA-SV）期权定价模型进行扩展,构建时变风险厌恶SV（TVRA-SV）期权定价模型对期权进行定价,并分析时变风险厌恶对期权价格的影响;其次,采用标的资产与期权数据信息,建立基于连续粒子滤波的极大似然估计方法,对定价模型的客观与风险中性参数进行联合估计;最后,采用我国期权市场上的上证50ETF期权数据,对构建的定价模型进行实证检验.结果表明：TVRA-SV期权定价模型相比传统的CRA-SV期权定价模型具有更好的数据拟合效果,能够更充分地刻画标的上证50ETF收益率在客观与风险中性测度下的波动性;TVRA-SV期权定价模型相比传统的Black-Scholes（B-S）期权定价模型和CRA-SV期权定价模型都具有明显更高的定价精确性。     

光滑暧昧模型下的不透明交易和管制措施研究

本文假定透明交易者对额外投资机会回报率的标准差(方差,投资风险)存在暧昧,这种认知暧昧性抑制了透明交易者的投资行为,会导致风险资产溢价过高及社会福利损失.透明交易者是暧昧厌恶的投资者,其投资决策依据光滑暧昧厌恶模型,需求函数呈现连续且光滑的特征.而不透明交易者,通过支付一定的信息获取成本获得私有信息而具有信息优势,他们是标准的风险厌恶的投资者.通过构建理性预期均衡,本文的研究发现:初始资产严格为正的透明交易者将获得严格为正的超额收益;提高信息获取成本将减少不透明交易者的比例,从而增加风险资产溢价,降低福利水平,因而不是一项好的管制措施;而旨在提高市场透明度降低交易者暧昧性的举措总有利于提高福利水平.     

Using Asset Prices to Measure the Persistence of the Marginal Utility of Wealth

We derive a lower bound for the volatility of the permanent component of investors' marginal utility of wealth or, more generally, asset pricing kernels. The bound is based on return properties of long‐term zero‐coupon bonds, risk‐free bonds, and other risky securities. We find the permanent component of the pricing kernel to be very volatile; its volatility is about at least as large as the volatility of the stochastic discount factor. A related measure for the transitory component suggest it to be considerably less important. We also show that, for many cases where the pricing kernel is a function of consumption, innovations to consumption need to have permanent effects.     

Robust Contracts in Continuous Time

We study a continuous‐time contracting problem under hidden action, where the principal has ambiguous beliefs about the project cash flows. The principal designs a robust contract that maximizes his utility under the worst‐case scenario subject to the agent's incentive and participation constraints. Robustness generates endogenous belief heterogeneity and induces a tradeoff between incentives and ambiguity sharing so that the incentive constraint does not always bind. We implement the optimal contract by cash reserves, debt, and equity. In addition to receiving ordinary dividends when cash reserves reach a threshold, outside equity holders also receive special dividends or inject cash in the cash reserves to hedge against model uncertainty and smooth dividends. The equity premium and the credit yield spread generated by ambiguity aversion are state dependent and high for distressed firms with low cash reserves.     

INFORMATION AND THE EQUITY PREMIUM

We determine how better information affects the average equity premium in a standard representative‐agent exchange economy. Perfect information obviously eliminates the equity premium, and a particular kind of information about the level of future consumption always lowers the average equity premium. Surprisingly, information sometimes raises the average equity premium, no matter what the preferences of the representative agent. Information purely about the volatility either of consumption or the marginal utility of consumption raises the equity premium for a wide class of preferences. Moreover, information can raise the average equity premium by an arbitrarily large percentage (while still matching important magnitudes, such as average growth and the risk‐free rate). We consider two different economies: a two‐period economy with arbitrary preferences for the representative agent; and an infinite horizon economy, in which we restrict both preferences and the endowment distribution.     

流动性风险、投资者流动性需求与资产定价

依据证券市场的交易特点把投资者面临的市场流动性风险分解为外生和内生流动性风险,并引入流动性需求状态变量随机化了的投资者对证券的持有期限,得出基于流动性风险调整的资产定价模型.模型能够解释实证研究发现的投资者对流动性风险中不可分散的系统性部分要求相应的风险补偿现象.而且模型揭示出,流动性水平和市场流动性风险的补偿要求是投资者的流动性需求紧张程度的增函数,解释了流动性风险溢价的时变性现象.     

PRICING RISK IN ECONOMIES WITH HETEROGENEOUS AGENTS AND INCOMPLETE MARKETS

Habit formation has been proposed as a possible solution to the equity premium puzzle. This paper extends the class of models that support the habits explanation in order to account for heterogeneity in earnings, wealth, habits, and consumption. I find that habit formation does indeed increase the equity premium. However, contrary to earlier results, the habit hypothesis does not imply a price for risk as largeas the one measured in the data. There are three reasons for this. First, households in a habits economy modify their consumption/savings decision. Second, they modify their portfolio choice. These two changes in behavior diminish the consumption fluctuations faced by households. Third, the composition of the set of agents pricing risk in the economy changes so that relatively better self‐insured households end up pricing risk. (JEL: D52, G12, E21, C68)     

定价核之谜与概率权重函数

采用期权及标的资产价格数据, 基于离散时间EGARCH模型和连续时间GARCH扩散模型分别估计了客观与风险中性密度, 进而推导了经验定价核. 在此基础上, 基于等级依赖期望效用模型, 在标准的效应函数形式下构建了相应的概率权重函数. 采用香港恒生指数及其指数权证价格数据进行实证研究, 结果表明: (1) 经验定价核不是单调递减的, 而是展现出驼峰(非单调性), 即“定价核之谜”;(2) 经验概率权重函数展现S型, 表明市场投资者低估尾部概率事件, 高估中、高概率事件;(3) “定价核之谜”可以由具有标准效用函数与S型概率权重函数的等级依赖期望效用模型解释。     

尾风险度量与定价能力分析

经典资本资产定价模型假设资产收益服从正态分布或者投资者效用函数是二次型,然而实际中资产收益的分布呈现尖峰厚尾特征,因而无法在均值-方差框架下分析风险与收益的关系。与资产收益正常变化相比,极端变化带来的尾风险会对市场风险和投资者的决策行为产生更为显著的影响,因此研究尾风险的度量方法和定价能力具有一定理论和实践意义。 依据极值理论,基于Fama-French的3因子模型无法解释的收益残差构建尾风险度量模型。选取中国股票市场沪深A股作为研究对象,以历史滑动窗估计尾风险,投资组合分析和横截面回归分析的结果都表明尾风险可以稳定地负向预测股票收益,在控制规模、交易量、非流动性、短期反转、中期动量、特质波动率、特质偏度等股票特征后,尾风险的负向预测能力依然显著。引入融资融券交易,发现融资融券标的股票的尾风险显著低于非融资融券标的股票的尾风险,而且可以消除尾风险的负向溢价,因而中国资本市场尚未完全开放融资融券交易机制可能是产生尾风险负向溢价的主要原因。 通过买多-卖空组合构建尾风险定价因子,发现尾风险因子比投资因子和盈利因子有更高的风险价格,而且并不是相对于Fama-French的5因子的冗余因子。与Fama-French的3因子模型和5因子模型相比,Fama-French的3因子或5因子基础上包含尾风险因子的定价模型对股票横截面收益有更好的解释能力,因而有更高的定价效率。 2008年全球金融危机爆发后,对尾风险定价能力的忽略使已有资产定价模型受到广泛批评。因此,探究尾风险的度量方法以及分析尾风险的定价能力,不仅有助于完善和拓展资产定价理论,而且有助于降低投资者对股票价格的认知偏差,提升市场资源配置效率和维护市场稳定性。     

Pricing of Full‐Service Repair Contracts with Learning,Optimized Maintenance,and Information Asymmetry

This article considers the optimal pricing of full‐service (FS) repair contracts by taking into account learning and maintenance efficiency effects, competition from service , and asymmetric information. We analyze on‐call service (OS) and FS contracts in a market where customers exhibit heterogeneous risk aversion. While the customers minimize their disutility over the equipment lifetime, the service provider maximizes expected profits arising from the portfolio of OS and FS contracts. We show that the optimal FS price depends inter alia on the customer's prior cost experience and on OS repair and maintenance costs. The optimal FS price is shown to increase as fewer OS customers are lost to competition, whereas improved repair learning enabled by FS reduces the optimal price. A numerical study based on data from a manufacturer of forklifts highlights the importance of learning in maintenance operations, which constitutes the key benefit of FS contracts; 81% of the customers select the FS option and are willing to pay an insurance premium of around 1.5% of total OS cost against volatility of repair costs.     

FINANCIAL FRAGILITY,LIQUIDITY, AND ASSET PRICES

We define a financial system to be fragile if small shocks have disproportionately large effects. In a model of financial intermediation, we show that small shocks to the demand for liquidity cause either high asset‐price volatility or bank defaults or both. Furthermore, as the liquidity shocks become vanishingly small, the asset‐price volatility is bounded away from zero. In the limit economy, with no shocks, there are many equilibria. However, if banks face idiosyncratic liquidity shocks, then the only equilibria that are robust to the introduction of small aggregate risk involve stochastic consumption as well as volatile asset, prices. (JEL: D5, D8, G2)     

生产还是消费——中国股市生产资本资产定价模型实证检验

生产资本资产定价模型从企业利润最大化角度出发,推出资产的均衡价格.相较于消费资本资产定价模型,生产资本资产定价模型能更好的满足信息完全和决策者理性的假设条件.本文从生产资本资产定价模型出发,利用现值模型将生产的系统性风险因子,即生产的贝塔因子分解为现金流贝塔和折现率贝塔,并采用社会总投资和股市数据进行实证检验.本文发现生产-现金流贝塔是中国股市的重要定价因子,可较好地解释股权溢价的截面差异.相比之下,消费资本资产定价模型对不同资产之间风险溢价的解释能力较弱.