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Working Paper
Bubbles as payoffs at infinity
We define rational bubbles to be securities with payoffs occurring in the infinitely distant future and investigate the behavior of bubble values. We extend our analysis to a setting of uncertainty. In an infinite-horizon arbitrage-free model of asset prices, we interpret the money market account as the value of a particular bubble; a similar interpretation holds for other assets related to the state-price deflator and to payoffs on bonds maturing in the distant future. We present three applications of this characterization of bubbles.
Discussion Paper
Alternative measures of the Federal Reserve banks' cost of equity capital
The Monetary Control Act of 1980 requires the Federal Reserve System to provide payment services to depository institutions through the twelve Federal Reserve Banks at prices that fully reflect the costs a private-sector provider would incur, including a cost of equity capital (COE). Although Fama and French (1997) conclude that COE estimates are ?woefully? and ?unavoidably? imprecise, the Reserve Banks require such an estimate every year. We examine several COE estimates based on the Capital Asset Pricing Model (CAPM) and compare them using econometric and materiality criteria. Our results ...
Report
The conditional CAPM and the cross-section of expected returns
Most empirical studies of the static CAPM assume that betas remain constant over time and that the return on the value-weighted portfolio of all stocks is a proxy for the return on aggregate wealth. The general consensus is that the static CAPM is unable to explain satisfactorily the cross-section of average returns on stocks. We assume that the CAPM holds in a conditional sense, i.e., betas and the market risk premium vary over time. We include the return on human capital when measuring the return on aggregate wealth. Our specification performs well in explaining the cross-section of average ...
Working Paper
Asset pricing lessons for modeling business cycles
We develop a model which accounts for the observed equity premium and average risk-free rate, without implying counterfactually high risk aversion. The model also does well in accounting for business-cycle phenomena. With respect to the conventional measures of business-cycle volatility and comovement with output, the model does roughly as well as the standard business-cycle model. On two other dimensions, the model?s business-cycle implications are actually improved. Its enhanced internal propagation allows it to account for the fact that there is positive persistence in output growth, and ...
Working Paper
An empirical investigation of consumption-based asset pricing models with stochastic habit formation
We econometrically estimate a consumption-based asset pricing model with stochastic internal habit and test it using the generalized method of moments. The model departs from existing models with deterministic internal habit (e.g., Dunn and Singleton (1983), Ferson and Constan- tinides (1991), and Heaton (1995)) by introducing shocks to the coefficients in the distributed lag specification of consumption habit and consequently an additional shock to the marginal rate of substitution. The stochastic shocks to the consumption habit are persistent and provide an additional source of time ...
Working Paper
A Robust Capital Asset Pricing Model
We build a market equilibrium theory of asset prices under Knightian uncertainty. Adopting the mean-variance decisionmaking model of Maccheroni, Marinacci, and Ruffino (2013a), we derive explicit demands for assets and formulate a robust version of the two-fund separation theorem. Upon market clearing, all investors hold ambiguous assets in the same relative proportions as the assets' market values. The resulting uncertainty-return tradeoff is a robust security market line in which the ambiguous return on an asset is measured by its beta (systematic ambiguity). A simple example on portfolio ...
Working Paper
The human capital that matters: expected returns and the income of affluent households
We implement the human capital CAPM (HCAPM) using the income growth of high income households, rather than aggregate income growth, to proxy the return to human capital (HCRT). We find that identifying the HCRT with the income growth of affluent households, those who are most likely to hold stocks, substantially improves the performance of the HCAPM. Specifically, the pricing errors, R-square?s, average returns on factor mimicking portfolios, and performance relative to other macro-finance models uniformly improve as the HCRT is identified with the income growth of successively more affluent ...
Working Paper
Econometric tests of asset price bubbles: taking stock
Can asset price bubbles be detected? This survey of econometric tests of asset price bubbles shows that, despite recent advances, econometric detection of asset price bubbles cannot be achieved with a satisfactory degree of certainty. For each paper that finds evidence of bubbles, there is another one that fits the data equally well without allowing for a bubble. We are still unable to distinguish bubbles from time-varying or regime-switching fundamentals, while many small sample econometrics problems of bubble tests remain unresolved.
Working Paper
Habit persistence and asset returns in an exchange economy
We examine asset prices and returns in the context of a version of the pure exchange economy studied in Lucas (1978) and Mehra and Prescott (1985). Our purpose is to identify the key channels by which changes in preferences affect the equity premium and the risk free rate and to develop intuition that is useful for understanding asset pricing in more complicated economies. Our analysis suggests that capital gains play a crucial role in generating empirically plausible mean equity premia.