Wealth Inequality and Asset Pricing

In an Arrow–Debreu exchange economy with identical agents except for their initial endowment, we examine how wealth inequality affects the equilibrium level of the equity premium and the risk-free rate. We first show that wealth inequality raises the equity premium if and only if the inverse of absolute risk aversion is concave in wealth. We then show that the equilibrium risk-free rate is reduced by wealth inequality if the inverse of the coefficient of absolute prudence is concave. We also prove that the combination of a small uninsurable background risk with wealth inequality biases asset pricing towards a larger equity premium and a smaller risk-free rate.     

How does a pay-as-you-go system affect asset returns and the equity premium?

When applying a differences-in-differences approach, equity returns and the equity premium are both estimated to be more than four percentage points higher after the introduction of a pay-as-you-go (PAYGO) system. In a realistically calibrated model, the PAYGO system is also found to increase the returns and the premium, although the effects are smaller than in the data. Intuitively, the system lowers asset prices, which in turn increases the importance of dividend risk. Since only equity is subject to dividend risk, equity returns become more volatile relative to bond returns.     

Diverse beliefs and time variability of risk premia

Why do risk premia vary over time? We examine this problem theoretically and empirically by studying the effect of market belief on risk premia. Individual belief is taken as a fundamental primitive state variable. Market belief is observable; it is central to the empirical evaluation and we show how to measure it. Our asset pricing model is familiar from the noisy REE literature but we adapt it to an economy with diverse beliefs. We derive equilibrium asset prices and implied risk premium. Our approach permits a closed form solution of prices; hence we trace the exact effect of market belief on the time variability of asset prices and risk premia. We test empirically the theoretical conclusions. Our main result is that, above the effect of business cycles on risk premia, fluctuations in market belief have significant independent effect on the time variability of risk premia. We study the premia on long positions in Federal Funds Futures, 3- and 6-month Treasury Bills (T-Bills). The annual mean risk premium on holding such assets for 1?C12?months is about 40?C60 basis points and we find that, on average, the component of market belief in the risk premium exceeds 50% of the mean. Since time variability of market belief is large, this component frequently exceeds 50% of the mean premium. This component is larger the shorter is the holding period of an asset and it dominates the premium for very short holding returns of less than 2?months. As to the structure of the premium we show that when the market holds abnormally favorable belief about the future payoff of an asset the market views the long position as less risky hence the risk premium on that asset declines. More generally, periods of market optimism (i.e. ??bull?? markets) are shown to be periods when the market risk premium is low while in periods of pessimism (i.e. ??bear?? markets) the market??s risk premium is high. Fluctuations in risk premia are thus inversely related to the degree of market optimism about future prospects of asset payoffs. This effect is strong and economically very significant.     

Macroeconomic implications of financial policy

This paper studies the effects of financial policy in a model with heterogeneous agents, incomplete markets and portfolio restrictions. For an economy calibrated to replicate key aspects of the U.S. wealth distribution, we find that the quantitative effects of financial policy are relatively small. The reason is that the households determining aggregate behavior are relatively well insured and can therefore offset the actions of the firm by modifying their portfolio allocations. However, financial policy has important effects on asset prices. Whereas a higher level of debt in the capital structure of the firm introduces more risk into the economy by increasing the volatility of the equity return, it enhances the liquidity of households by increasing the supply of bonds. In an economy with a substantial amount of heterogeneity, this last effect dominates and leverage leads to a decrease in the equity premium. This is in contrast to the findings in representative agent models, in which leverage unambiguously increases the premium through a higher equity return volatility.     

Asset pricing in an Islamic economy

ABSTRACT

We define an Islamic economy as one with borrowing restrictions, no leverage, and no risk-free asset. We derive a consumption-based asset pricing model for this economy under standard preferences. We demonstrate that news to consumption growth is the main driver of Islamic financial markets, but the degree of borrowing constraints also affects the pricing of Islamic assets. Using Saudi Arabian data, simulations show that our model does a good job in matching the observed equity premium as well as the volatility of the market return. Our model implies that the price-dividend ratio predicts dividend growth, and as a result that prices are driven mainly by cash-flow news rather than by discount rate news. Empirical tests show that our model is consistent with the data.     

Asset prices in a Huggett economy

This paper explores asset pricing in economies where there is no direct insurance against idiosyncratic risks but other assets can be used for self-insurance, subject to exogenously-imposed borrowing limits. We analyze an endowment economy, based on Huggett (1993) [11], both with and without aggregate risk. Our main innovation is that we obtain full analytical tractability by studying the case with “maximally tight” borrowing constraints. We illustrate by looking at riskless bonds, equity, and the term structure of interest rates, and we show that the model can reproduce many features of observed asset prices when idiosyncratic risks are quantitatively reasonable.     

Equity risk premium and time horizon: What do the U.S. secular data say?

We consider a representative investor whose wealth is made up of the equity market portfolio and the riskless asset, and who maximizes the expected utility of his/her future wealth for a given horizon. The solution of this program shows that the equilibrium value of the equity risk premium – the latter being measured by the difference between the expected equity portfolio return and the risk-free interest rate – is given by the product of the price of risk by the expected variance of stock returns. When returns are predictable, these two magnitudes are both time-varying and horizon-dependent. In accordance with this theoretical framework, our paper presents an econometric model of the equity risk premia for two traditional horizons: the one-period-ahead horizon (i.e. the ‘short-term’ premium) and the infinite-time horizon (i.e. the ‘long-term’ premium). Using annual US secular data from 1871 to 2008, and representing the expected returns by mixing the three traditional adaptive, extrapolative and regressive processes, large disparities in the dynamics of the two premia are evidenced. Concerning the determination of the equilibrium values of the two premia, the expected variances depend on the past values of the centered squared returns while the prices of risk (unobservable variables) are estimated according to the Kalman filter methodology, which enables us to capture the influence of hidden variables and of non-directly measurable psychological effects. A spread of interest rates adds to this determination. Possibly due to risky arbitrage and transaction costs, the results show that observed premia gradually converge towards their equilibrium values, this process being described by an error correction model. Overall, our model provides a rather satisfactory representation of ‘short-term’ and ‘long-term’ premia.     

CAN FINANCING CONSTRAINTS EXPLAIN THE ASSET PRICING PUZZLES IN PRODUCTION ECONOMIES?*

General Equilibrium asset pricing models have a difficult time simultaneously delivering a sizable equity premium, a low and counter cyclical real risk free rate, and cyclical variation in return volatility. To explain these stylized facts, this article introduces occasionally binding financing constraints that impede producers’ ability to invest. The financial frictions drive a wedge between the marginal rate of substitution and firms’ internal stochastic discount factors so that the shadow value of capital is not tied to the average price of capital. The model delivers higher and more volatile asset returns during recessions as well as a counter cyclical equity premium.     

State prices,liquidity, and default

We show, in a monetary exchange economy, that asset prices in a complete markets general equilibrium are a function of the supply of liquidity by the Central Bank, through its effect on default and interest rates. Two agents trade goods and nominal assets to smooth consumption across periods and future states, in the presence of cash-in-advance financing costs that have effects on real allocations. We show that higher spot interest rates reduce trade and as a result increase state prices. Hence, states of nature with higher interest rates are also states of nature with higher risk-neutral probabilities. This result, which cannot be found in a Lucas-type representative agent model, implies that the yield curve is upward sloping in equilibrium, even when short-term interest rates are fairly stable and the variance of the (macroeconomic) stochastic discount factor is 0. The risk-premium in the term structure is, therefore, a monetary-cost risk premium.     

Bad volatility is not always bad: evidence from the commodity markets

ABSTRACT

Using exchange-traded fund (ETF) options data, we examine the predictive power of variance risk premium on returns of four commodities: crude oil, natural gas, gold and silver. We also analyze the predictive power of upside and downside variance risk premiums using a decomposition model conditional on the direction of the underlying market movement. We find that both the undecomposed and decomposed variance risk premiums are able to predict commodity prices. The decomposed variance risk premiums, however, outperform the undecomposed premium. The importance of upside and downside variance risk premiums differs across markets, related to hedging demand. In energy markets, both upside and downside premiums have strong predictive power, while in precious metal markets, only the upside premium is predictive.     

Rational inattention,long-run consumption risk,and portfolio choice

This paper explores how the introduction of rational inattention (RI) – that agents process information subject to finite channel capacity – affects optimal consumption and investment decisions in an otherwise standard intertemporal model of portfolio choice. We first explicitly derive optimal consumption and portfolio rules under RI and then show that introducing RI reduces the optimal share of savings invested in the risky asset because inattentive investors face greater long-run consumption risk. We also show that the investment horizon matters for portfolio allocation in the presence of RI, even if investment opportunities are constant and the utility function of investors is constant relative risk aversion. Second, after aggregating across investors, we show that introducing RI can better explain the observed joint dynamics of aggregate consumption and the equity return. Finally, we show that RI increases the implied equity premium because investors under RI face greater long-run consumption risk and thus require higher compensation in equilibrium.     

COLLATERAL REQUIREMENTS AND ASSET PRICES

Many assets derive their value not only from future cash flows but also from their ability to serve as collateral. In this article, we investigate this collateral premium and its impact on asset returns in an infinite‐horizon general equilibrium model with heterogeneous agents. We document that borrowing against collateral substantially increases the return volatility of long‐lived assets. Moreover, otherwise identical assets with different degrees of collateralizability exhibit substantially different return dynamics because their prices contain a sizable collateral premium that varies over time. This premium can be positive even for assets that never pay dividends.     

Bequests,taxation and the distribution of wealth in a general equilibrium model

This paper examines the role of bequests and of taxation on bequests for the distribution of wealth. We investigate a model with overlapping generations and heterogenous households where parents derive utility directly from their bequests. We obtain all results analytically. Using the coefficient of variation as the measure of inequality, bequests per se diminish the inequality of wealth since they raise private savings and hence average wealth holdings more than the variance of wealth. From a policy perspective, taxing bequests and redistributing government revenue lump-sum among the young generation further decreases wealth inequality.     

Rational Pessimism, Rational Exuberance, and Asset Pricing Models

The paper estimates and examines the empirical plausibility of asset pricing models that attempt to explain features of financial markets such as the size of the equity premium and the volatility of the stock market. In one model, the long-run risks (LRR) model of Bansal and Yaron, low-frequency movements, and time-varying uncertainty in aggregate consumption growth are the key channels for understanding asset prices. In another, as typified by Campbell and Cochrane, habit formation, which generates time-varying risk aversion and consequently time variation in risk premia, is the key channel. These models are fitted to data using simulation estimators. Both models are found to fit the data equally well at conventional significance levels, and they can track quite closely a new measure of realized annual volatility. Further, scrutiny using a rich array of diagnostics suggests that the LRR model is preferred.     

Option-implied preferences adjustments, density forecasts, and the equity risk premium

The main objective of this paper is to analyse the value of information contained in prices of options on the IBEX 35 index at the Spanish Stock Exchange Market. The forward looking information is extracted using implied risk-neutral density functions estimated by a mixture of two-lognormals and several alternative risk adjustments. Our results show that, between October 1996 and March 2000, we can reject the hypothesis that the risk-neutral densities provide accurate predictions of the distributions of future realisations of the IBEX 35 index at 4- and 8-week horizons. When forecasting through risk-adjusted densities the performance of this period is statistically improved and we no longer reject that hypothesis. We show that risk adjustments based on a power specification for the stochastic discount factor—which is the approach used so far in the literature that derives the objective density function from option prices- generates an excessive volatility of risk premia. We use alternative risk adjustments and find that the forecasting performance of the distribution improves slightly in some cases when risk aversion is allowed to be time-varying. Finally, from October 1996 to December 2004, the ex-ante risk premium perceived by investors and that are embedded in option prices is between 12 and 18% higher than the premium required to compensate the same investors for the realised volatility in stock market returns.      

Analysing the risk premium in the Italian stock market: ARCH-M models versus non-parametric models

This Paper investigates the variability of the risk premium in the Italian stock market, over the period 1978–89. We have modelled voatility using two different approaches: ARCH-M models and non-parametric models. The estimate of the ARCH-M models confirm the existence of both an ARCH process in the variance and a time-varying risk premium. Also the non-parametric specification confirms the existence of a time varying risk premium. Moreover in both models the acceleration in the inflation rate has a negative effect on stock prices.     

SOCIAL SECURITY AND THE INTRAGENERATIONAL REDISTRIBUTION OF LIFETIME INCOME IN JAPAN*

We investigate how social security redistributes lifetime income within the same generation in Japan, based on data from the micro data. The progressivity of Japan's state pension programme appears to be much more limited on a lifetime basis than on an annual basis. Given an ageing population, replacing the current Pay As You Go system with a simple one that consists of a flat benefit and a wage‐proportional premium, and has no maximum contribution, can be desirable in terms of both efficiency and intragenerational equity. The redistributive effects of income tax and consumption tax to finance the benefit are also examined.     

State-dependent preferences can explain the equity premium puzzle

We introduce state-dependent recursive preferences into the Mehra–Prescott economy. We show that such preferences can match the historical first two moments of the returns on equity and the risk-free rate. Other authors have reported similar results using state-dependent expected utility preferences. These authors have tended to emphasize the importance of countercyclical risk aversion in explaining the equity premium puzzle. We find that countercyclical risk aversion plays an important role but only when combined with modest cyclical variation in intertemporal substitution.     

Do long-term interest rates drive GDP and inflation in small open economies? Evidence from Poland

This article investigates the impact of long-term interest rates on macroeconomic variables in a small open economy. It shows that the time-varying term premium stabilizes GDP without affecting significantly inflation volatility in Poland – a typical open economy with flexible exchange rate. This conclusion is drawn from an estimated dynamic stochastic general equilibrium model in which segmented asset markets and imperfect asset substitutability give rise to the time-varying term premium in the long-term interest rate. Furthermore, the impulse response analysis of the model reveals that the term premium stabilizes GDP when the small economy is hit by shocks that are absent in closed economy models (country risk premium and export preference) which points to the different impact of the term premium on relatively close (large) and open (small) economies.     

中国居民消费与资产收益:基于收入群体的分析

The equity premium puzzle is found during the test of the Consumption-based Capital Asset Pricing Model (CCAPM) with aggregate consumption data. Because of income disparity, many consumers lack financial assets to intertemporally allocate their consumptions under income constraints. Thus, it is likely to lead to a specification error by employing aggregate consumption data to test the CCAPM. This paper examines the impacts of the economically constrained (low-income) consumers and unconstrained (high-income) consumers on the CCAPM using urban consumption expenditures in China delineated by consumer income, and tests the income constraint hypothesis. The empirical results show that the CCAPM is not more consistent with the consumption pattern of the higher-income consumers. Including the income constraint into the analyses of the consumption and asset returns does not unravel the equity premium puzzle.