We characterize and measure a long-term risk-return trade-off for the valuation of cash flows exposed to fluctuations in macroeconomic growth. This trade-off features risk prices of cash flows that are realized far into the future but continue to be reflected in asset values. We apply this analysis to claims on aggregate cash flows and to cash flows from value and growth portfolios by imputing values to the long-run dynamic responses of cash flows to macroeconomic shocks. We explore the sensitivity of our results to features of the economic valuation model and of the model cash flow dynamics.

This article incorporates a time-varying severity of disasters into the hy-

We ask whether stock returns in France, Germany, Japan ... by three instruments: the dividend yield, the earnings yield and the short rate. The predictability regression is suggested by a present value model with earnings growth, payout ratios and the short rate as state variables. We find the short rate to be the only robust short-run predictor of excess returns, and find little evidence of excess return predictability by earnings or dividend yields across all countries. There is no evidence of long-horizon return predictability once we account for finite sample influence. Cross-country predictability is stronger than predictability using local instruments. Finally, dividend and earnings yields predict future cashflow growth

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Investors demand high risk premia for defaultable claims, because (i) defaults tend to concentrate in bad times when marginal utility is high; (ii) default losses are high during such times. I build a structural model of financing and default decisions in an economy with business-cycle variations in expected growth rates and volatility, which endogenously generate countercyclical comovements in risk prices, default probabilities, and default losses. Credit risk premia in the calibrated model not only can quantitatively account for the high corporate bond yield spreads and low leverage ratios in the data, but have rich implications for firms’ financing decisions.

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We propose a dynamic risk-based model that captures the value premium. Firms are modeled as long-lived assets distinguished by the timing of cash flows. The stochastic discount factor is specified so that shocks to aggregate dividends are priced, but shocks to the discount rate are not. The model implies that growth firms covary more with the discount rate than do value firms, which covary more with cash flows. When calibrated to explain aggregate stock market behavior, the model accounts for the observed value premium, the high Sharpe ratios on value firms, and the poor performance of the CAPM. THIS PAPER PROPOSES A DYNAMIC RISK-BASED MODEL that captures both the high expected returns on value stocks relative to growth stocks, and the failure of the capital asset pricing model to explain these expected returns. The value premium, first noted by Graham and Dodd (1934), is the finding that assets with a high ratio of price to fundamentals (growth stocks) have low expected returns relative to assets with a low ratio of price to fundamentals (value stocks). This

This paper surveys research on computational agent-based models used in finance. It will concentrate on models where the use of computational tools is critical in the process of crafting models which give insights into the importance and dynamics of investor heterogeneity in many financial settings.

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A representative-consumer model with Epstein-Zin-Weil preferences and i.i.d. shocks, including rare disasters, accords with observed equity premia and risk-free rates if the coefficient of relative risk aversion equals 3–4. If the intertemporal elasticity of substitution exceeds one, an increase in uncertainty lowers the price-dividend ratio for equity, and a rise in the expected growth rate raises this ratio. Calibrations indicate that society would willingly reduce GDP by around 20 percent each year to eliminate rare disasters. The welfare cost from usual economic fluctuations is much smaller, though still important, corresponding to lowering GDP by about 1.5 percent each year. (JEL E13, E21, E22, E32) In a previous study, Barro (2006), I used the Thomas A. Rietz (1988) idea of rare economic disasters to explain the equity premium and related asset-pricing puzzles. My quantitative examination of large macroeconomic contractions in 35 countries during the twentieth century suggested a disaster probability of roughly 2 percent per year. The size distribution of GDP contractions during these events ranged between 15 percent (the arbitrary lower bound) and over 60