Habit formation,surplus consumption and return predictability: International evidence

On an international post World War II dataset, we use an iterated GMM procedure to estimate and test the Campbell and Cochrane (1999, By force of habit: a consumption-based explanation of aggregate stock market behavior. Journal of Political Economy 107, 205–251.) habit formation model with a time-varying risk-free rate. In addition, we analyze the predictive power of the surplus consumption ratio for future stock and bond returns. We find that, although there are important cross-country differences and economically significant pricing errors, for the majority of countries in our sample the model gets empirical support in a variety of different dimensions, including reasonable estimates of risk-free rates. Further, for the majority of countries the surplus consumption ratio captures time-variation in expected returns. Together with the price-dividend ratio, the surplus consumption ratio contains significant information about future stock returns, also during the 1990s. In addition, in most countries the surplus consumption ratio is also a powerful predictor of future bond returns. Thus, the surplus consumption ratio captures time-varying expected returns in both stock and bond markets.     

Habit persistence: Explaining cross-sectional variation in returns and time-varying expected returns

This paper uses an iterated GMM approach to estimate and test the consumption based habit persistence model of Campbell and Cochrane [Campbell, J.Y., Cochrane, J.H., 1999. By force of habit: A consumption-based explanation of aggregate stock market behavior. Journal of Political Economy 107, 205–251] on the US stock market. The empirical evidence shows that the model is able to explain the size premium, but fails to explain the value premium. Further, the state variable of the model – the surplus consumption ratio – explains counter-cyclical time-varying expected returns on stocks. The model also produces plausible low real risk-free rates despite high relative risk aversion.     

C-CAPM Refinements and the Cross-Section of Returns

This paper studies if the consumption-based asset pricing model can explain the cross-section of expected returns. The CRRA model and several refinements (habit persistence and idiosyncratic shocks) all imply that the conditional expected return is linearly increasing in the asset’s conditional covariance with consumption growth. Results from quarterly data on the 25 Fama-French portfolios suggest that the model has serious problems: there are large and systematic pricing errors. In addition, the estimated time-varying effective risk aversion coefficients appear implausible and are unrelated with most candidates for habit persistence and idiosyncratic risk.     

An empirical analysis of intertemporal asset pricing models with transaction costs and habit persistence

In intertemporal asset pricing models, transaction costs are usually neglected. In this paper we explicitly incorporate transaction costs in these models and analyze to what extent this extension is helpful in explaining the cross-section of expected returns. An empirical analysis using CRSP data on size-based portfolios examines the role of the transaction costs and shows that incorporating such costs in the consumption-based model with power utility does not yield very satisfactory results. However, the introduction of habit persistence substantially improves the model. We find rather strong evidence of habit persistence in monthly consumption data. The plots of the models' pricing errors indicate that an intertemporal asset pricing model with transaction costs and habit persistence explains the cross-sectional variation in the portfolio returns quite accurately.     

Consumption Fluctuations and Expected Returns

This paper introduces a novel consumption-based variable, cyclical consumption, and examines its predictive properties for stock returns. Future expected stock returns are high (low) when aggregate consumption falls (rises) relative to its trend and marginal utility from current consumption is high (low). We show that the empirical evidence ties consumption decisions of agents to time variation in returns in a manner consistent with asset pricing models based on external habit formation. The predictive power of cyclical consumption is not confined to bad times and subsumes the predictability of many popular forecasting variables.     

Consumption-based CAPM models: International evidence

We examine the performance of several types of the consumption-based CAPM (C-CAPM) models to explore if consumption factors matter for determining excess returns across 17 MSCI country indexes. While the classic world C-CAPM does exhibit some power in explaining cross-sectional variations of expected excess returns, the model seems to require an implausibly large coefficient of risk aversion. The more sophisticated models including the heterogeneous C-CAPM, the world surplus consumption and the habit-formation models provide more reasonable estimates and add substantial explanatory power for the variation in the cross section of excess stock returns. Our results suggest that country-specific consumption risk is not fully diversified thus implying that stock returns are related to idiosyncratic consumption risk.     

International asset returns and exchange rates

We present a consumption-based international asset-pricing model to study global equity premiums, the US riskfree rate and the cross section of international asset returns. The model entails idiosyncratic, country-specific consumption risk, which helps explain the magnitude of global equity premiums. It also features country-specific habit formation, which helps explain the level of the interest rate on the US short-term Treasury bills traded by domestic and international investors. We find that the model explains approximately 40–50% of the cross section of currency and equity premiums as well as expected returns from value and growth portfolios of at least a dozen countries. Changes in real exchange rates are responsible for explaining approximately half of the cross section of international asset returns.     

On the predictive power of the surplus consumption ratio

This paper shows that the surplus consumption ratio, specified by Campbell and Cochrane [1999. Journal of Political Economy 107, 205–251], is a good predictor of excess returns at long horizons. We also provide empirical evidence that this variable captures a component of expected returns, not explained by the proxies for the consumption to wealth ratio, cay and cdy, proposed by Lettau and Ludvigson [2001a. Journal of Finance 56, 815–849; 2001b. Journal of Political Economy 109, 1238–1286; 2005. Journal of Financial Economics 76, 583–626]. Moreover, used as a conditioning information for the Consumption based Asset Pricing Model (C)CAPM, the resulting linear model helps to explain for the variation in average returns across the Fama–French (25) portfolios sorted by size and book-to-market characteristics.     

A Habit-Based Explanation of the Exchange Rate Risk Premium

This paper presents a model that reproduces the uncovered interest rate parity puzzle. Investors have preferences with external habits. Countercyclical risk premia and procyclical real interest rates arise endogenously. During bad times at home, when domestic consumption is close to the habit level, the representative investor is very risk averse. When the domestic investor is more risk averse than her foreign counterpart, the exchange rate is closely tied to domestic consumption growth shocks. The domestic investor therefore expects a positive currency excess return. Because interest rates are low in bad times, expected currency excess returns increase with interest rate differentials.     

Issuer surplus and the partial adjustment of IPO prices to public information

This study develops a model in which rational issuers maximize the expected surplus from going public by choosing an offer price that weighs the benefit of higher proceeds if the offer is completed against the cost of foregone surplus if the offer fails. Increases in the market valuation of comparable firms during the waiting period imply higher surplus associated with going public; issuers respond with a partial revision in the offer price to elevate the probability of completion. The model offers insights into many facts associated with initial public offering pricing, including partial adjustment to market returns, the inverse relation between withdrawal and market returns, the asymmetric price adjustment to up versus down market returns, hot-issue markets, and unconditional underpricing.     

Consumption habit and international stock returns

We use the consumption-based asset pricing model with habit formation to study the predictability and cross-section of returns from the international equity markets. We find that the predictability of returns from many developed countries' equity markets is explained in part by changing prices of risks associated with consumption relative to habit at the world as well as local levels. We also provide an exploratory investigation of the cross-sectional implications of the model under the complete world market integration hypothesis and find that the model performs mildly better than the traditional consumption-based model, the unconditional and conditional world CAPMs and a three-factor international asset pricing model.     

Good‐Specific Habit Formation and the Cross‐Section of Expected Returns

I study asset prices in a general equilibrium framework in which agents form habits over individual varieties of goods rather than over an aggregate consumption bundle. Goods are produced by monopolistically competitive firms whose elasticities of demand depend on consumers' habit formation. Firms that produce goods with a high habit level relative to consumption have low demand elasticities, set high prices for their product, have low expected returns on their stock, and have low asset pricing betas and stock return volatilities. I find supportive evidence for these predictions in the data.     

A consumption-based model of the term structure of interest rates

This paper proposes a consumption-based model that accounts for many features of the nominal term structure of interest rates. The driving force behind the model is a time-varying price of risk generated by external habit. Nominal bonds depend on past consumption growth through habit and on expected inflation. When calibrated to data on consumption, inflation, and the aggregate market, the model produces realistic means and volatilities of bond yields and accounts for the expectations puzzle. The model also captures the high equity premium and excess stock market volatility.     

Time-varying risk aversion and asset prices

This paper uses a variant of the consumption-based representative agent model in Campbell and Cochrane [Campbell, J.Y., Cochrane, J.H., 1999. By force of habit: Consumption-based explanation of aggregate stock market behavior. Journal of Political Economy 107, 205–251] to study how investors’ time-varying risk aversion affects asset prices. First, we show that a countercyclical variation of risk aversion drives a procyclical conditional risk premium. Second, we show that with a small value for the volatility of the log surplus consumption ratio, a large value of risk aversion may not determine whether the equity premium and the risk-free rate puzzles can be resolved or not. Third, we show that countercyclical risk aversion may not help explain the predictability of long-horizon stock returns, the univariate mean-reversion of stock prices and the “leverage effect” in return volatility.     

Inflation,real returns and capital investment

We find evidence for the hypothesis of Mundell (1963) and Tobin (1965) that the expected real return component of interest rates is negatively related to the expected inflation component. In the Mundell-Tobin model, the variation in expected real returns is caused by the variation in expected inflation. Our evidence suggests, however, that the variation in expected real returns is more fundamentally an outcome of the capital expenditures process. Equilibrium expected real returns vary directly with capital expenditures in order to induce equilibrium allocations of resources between consumption and investment. This positive relation between expected real returns and real activity, which comes out of the real sector, combines with a negative relation between expected inflation and real activity, which is traced to the monetary sector, thus inducing the negative relation between expected inflation and expected real returns predicted by Mundell and Tobin but explained in terms of a model much different from theirs.     

Procyclicality of the comovement between dividend growth and consumption growth

Duffee (2005) shows that the amount of consumption risk (i.e., the conditional covariance between market returns and consumption growth) is procyclical. In light of this “Duffee Puzzle,” I empirically demonstrate that the conditional covariance between dividend growth (i.e., the immediate cash flow part of market returns) and consumption growth is (1) procyclical and (2) a consistent source of procyclicality in the puzzle. Moreover, I solve an external habit formation model that incorporates realistic joint dynamics of dividend growth and consumption growth. The procyclical dividend-consumption comovement entails two new procyclical terms in the amount of consumption risk via cash flow and valuation channels, respectively. These two procyclical terms play an important role in generating a realistic magnitude of consumption risk. In contrast to extant habit formation models, the conditional equity premium no longer increases monotonically when a negative consumption shock arrives because it might lower the amount of risk while increasing the price of risk.     

Do Accruals Drive Firm‐Level Stock Returns? A Variance Decomposition Analysis

This paper extends the variance decomposition framework of Campbell [1991], Campbell and Ammer [1993], and Vuolteenaho [2002] to address the relative value relevance of accrual news, cash flow news, and expected-return news in driving firm-level equity returns. The extension is based on the Feltham-Ohlson [1995, 1996] clean surplus relations. Using three models, this study shows that all three factors, accruals, cash flows, and expected future discount rates are value relevant. Moreover, accrual news is found to significantly dominate expected-return news in driving firm-level stock returns. Operating income news is also found to significantly dominate both expected-return news and free cash flow news in driving firm-level stock returns. Furthermore, after splitting net income into cash flow and accrual earnings components in the Vuolteenaho model, accrual earnings news and cash flow earnings news are found to equally drive firm-level stock returns and to dominate expected-return news. Further disaggregation of the data yields some evidence that accrual earnings news is a more important factor than cash flow earnings news in driving current stock returns. Overall, the three models indicate that changes in expected future accruals are a primary driver, if not the primary driver, of current stock returns.     

Asset Pricing without Garbage

This paper provides an explanation for why garbage implies a much lower relative risk aversion in the consumption‐based asset pricing model than National Income and Product Accounts (NIPA) consumption expenditure: Unlike garbage, NIPA consumption is filtered to mitigate measurement error. I apply a simple model of the filtering process that allows one to undo the filtering inherent in NIPA consumption. “Unfiltered NIPA consumption” well explains the equity premium and is priced in the cross‐section of stock returns. I discuss the likely properties of true consumption (i.e., without measurement error and filtering) and quantify implications for habit and long‐run risk models.     

Sources of the stock price fluctuations in Chinese equity market

This paper proposes a latent factor approach based on a state–space framework in order to identify which factor, if any, dominates price fluctuations in the Chinese stock markets. We also illustrate the connection of such stock price decomposition with several general equilibrium asset pricing models and show that the decomposition results can potentially offer useful insights with regard to the empirical relevance of asset pricing models. We use quarterly data of the Chinese A-Share equity market over the period 1995Q3–2011Q1 and find that the estimates of the state–space model suggest that the expected return is the primary driving force behind price fluctuations in the Chinese stock market. We show that the time-varying expected returns appear to be counter-cyclical and this result seems to be consistent with the habit formation model of Campbell and Cochrane [1999. By force of habit: A consumption-based explanation of aggregate stock market behavior. Journal of Political Economy 107, no. 2: 205–51.]. However, we also note that there is a great deal of uncertainty with respect to this variance decomposition due to the resulting small signal-to-noise ratio in the estimated state–space model.     

Seasonality and Consumption-Based Asset Pricing

Most of the evidence on consumption-based asset pricing is based on seasonally adjusted consumption data. The consumption-based models have not worked well for explaining asset returns, but with seasonally adjusted data there are reasons to expect spurious rejections of the models. This paper examines asset pricing models using not seasonally adjusted aggregate consumption data. We find evidence against models with time-separable preferences, even when the models incorporate seasonality and allow seasonal heteroskedasticity. A model that uses not seasonally adjusted consumption data and nonseparable preferences with seasonal effects works better according to several criteria. The parameter estimates imply a form of seasonal habit persistence in aggregate consumption expenditures.