Consumption, money and excess returns

PurposeThis paper seeks to reconsider the Euler equation of the Consumption Capital Asset Pricing Model (CCAPM), to derive a regression‐based model to test it, and to present evidence that the model is consistent with reasonable values for the coefficient of relative risk aversion (CRRA). This runs contrary to the findings of the literature on the equity premium puzzle, but is in agreement with the literature that estimates the CRRA for the purpose of computing the social discount rate, and is in line with the research on labor supply. Tests based on General Method of Moments (GMM) for the same sample produce results that are extremely disparate and unstable. The paper aims to check and find support for the robustness of the regression‐based tests. Habit formation models are also to be evaluated with regression‐based and GMM tests. However, the validity of the regression‐based models depends critically on their functional forms.Design/methodology/approachThe paper presents empirical evidence that the conventional use of GMM fails because of four pathological features of GMM that are referred to under the general caption of “weak identification”. In addition to GMM, the paper employs linear regression analysis to test the CCAPM, and it is found that the regression residuals follow well‐behaved distributional properties, making valid all statistical inferences, while GMM estimates are highly unstable.FindingsFour unexpected findings are reported. The first is that the regression‐based models are consistent with reasonable values for the CRRA, i.e. estimates that are below 4. The second is that the regression‐based tests are robust, while the GMM‐based tests are not. The third is that regression‐based tests with habit formation depend crucially on the specification of the model. The fourth is that there is evidence that market stock returns are sensitive to both consumption and dividends. The author calls the latter “extra sensitivity of market stock returns”, and it is described as a new puzzle.Originality/valueThe regression‐based models of the CCAPM Euler equation are novel. The comparison between GMM and regression‐based models for the same sample is original. The regression‐based models with habit formation are new. The equity premium puzzle disappears because the estimates of the CRRA are reasonable. But another puzzle is documented, which is the “extra sensitivity of market stock returns” to consumption and dividends together.

This article, Part 1 of 2, reviews the classical origins, development, and tests of consumption-based asset pricing theory, focusing mainly on the first two decades from 1976 to 1998. Starting with the original consumption capital asset pricing model (CCAPM) derivations, we review both theory and subsequent tests and provide some new applications. The consumption aggregation theorem and CCAPM are derived, and optimal consumption and portfolio strategies are discussed. The term structure of interest rates is derived from the term structures for expected growth, volatility, and inflation. Time aggregation biases in consumption betas as well as the usefulness of the “consumption-mimicking portfolio” are also derived. In addition to various empirical tests, models and tests of limited participation in asset markets as well as models of incomplete markets are presented. When certain measurement issues are taken into account, the CCAPM performs better than the original CAPM and nearly as well as the Fama-French three-factor model.

Innovations in Future Labor Income Growth and the Cross-Section of Equity Returns

This paper proposes energy consumption in the US as a new measure for the consumption capital asset pricing model. We find that (i) industrial energy growth produces reasonable values for the relative risk aversion coefficient and the implied risk‐free rate; (ii) compared to alternative consumption measures, industrial energy performs well in explaining the cross‐sectional variation in stock returns with the lowest implied risk aversion and pricing errors; (iii) the industrial energy consumption risk model performs equally well as the Fama–French three‐factor model in the cross‐sectional asset pricing tests; and (iv) total energy consumption risk is priced in the presence of the Fama–French factor risks.

Timescale betas and the cross section of equity returns: Framework, application, and implications for interpreting the Fama–French factors

Asset market equilibrium: A simulation

Modified IR As a Predictor of Fund Performance

Stock Return Predictability in a Production Economy

This article presents a pure exchange economy that extends Rubinstein [Bell J. Econ. Manage. Sci., 1976, 7, 407–425] to show how the jump-diffusion option pricing model of Black and Scholes [J. Political Econ., 1973, 81, 637–654] and Merton [J. Financ. Econ., 1976, 4, 125–144] evolves in gamma jumping economies. From empirical analysis and theoretical study, both the aggregate consumption and the stock price are unknown in determining jumping times. By using the pricing kernel, we determine both the aggregate consumption jump time and the stock price jump time from the equilibrium interest rate and CCAPM (Consumption Capital Asset Pricing Model). Our general jump-diffusion option pricing model gives an explicit formula for how the jump process and the jump times alter the pricing. This innovation with predictable jump times enhances our analysis of the expected stock return in equilibrium and of hedging jump risks for jump-diffusion economies.

Consumption Risk Over the Frequency Domain

Wealth Effects in Europe: A Tale of Two Countries (Italy and the United Kingdom)

New Goods and Asset Prices

Output gap and consumption risk on the cross-section of stock returns in Korea

This paper analyzes asset prices in a representative agent exchange economy with habit-forming preferences. For a general class of utility indices and endowment processes, the authors characterize the optimal demand for consumption and derive explicit solutions for the interest rate and asset risk premia. They show that consumption smoothness may obtain even when the interest rate is stochastic. The consumption capital asset pricing model may not hold when the endowment process has stochastic coefficients; asset risk premia are larger under mild assumptions. The interest rate depends on the growth in the standard of living. Malliavin calculus is employed in the analysis. Copyright 1991 by The Econometric Society.

This paper develops a method of using financial data to understand the expected impact of trade policy on welfare and other real variables when the policy has heterogeneous and uncertain impacts on firms. We embed a firm-level specific factors model in a consumption capital asset pricing model to map expected cash-flow movements into expected movements in productivity, wages, and welfare. Using our framework, we find that the U.S.-China trade war caused increases in uncertainty and large declines in U.S. stock prices, expected cash flows, and expected productivity. We estimate that the expected decline in U.S. welfare is 4.9 percentage points.