This paper provides an economic explanation of the value premium, differences in price/dividend ratios of value and growth assets and variance-covariance structure of their realized returns within the long-run risks model of Bansal and Yaron (2004). Consistent with time-series properties of observed cash-flow data, value firms exhibit higher exposure to low-frequency fluctuations in aggregate c...

By formulating a nested test of the asymmetric response model of Bawa, Brown, and Klein (1981), the mean-lower partial moment CAPM (LPMCAPM) of Bawa and Lindenberg (1977) and the mean-variance CAPM of Sharpe (1963, 1964), Lintner (1965) and Mossin (1969), this paper investigates the relative merits of symmetric and asymmetric risk measures using UK equity data for di®erently sized companies and...

Beta, as measured by the Capital Asset Pricing Model (CAPM), is widely used for pricing stocks, determining the cost of capital, and gauging the extent to which markets are integrated. The CAPM model assumes that equilibrium conditions prevail. The choice of which market portfolio to use in the regression – the home country or global index – depends on the level of global market integration. We...

The relationship between trading volume and securities prices is a complex one which, when understood properly, can lead to many insights in portfolio theory. Over the past forty years, much work has been done trying to understand this relationship. In this document, we will attempt to introduce and discuss some of these papers. First, we introduce basic topics of finance theory, such as the Ca...

What is the best way to incorporate a risk premium into the discount rate schedule for a real investment project with uncertain payo¤s? The standard CAPM formula suggests a beta-weighted average of the return on a safe investment and the mean return on an economy-wide representative risky investment. Suppose, though, that the project constitutes a tail-hedged investment, meaning that it is expe...

This paper provides new evidence on the dynamics of equity risk premia in euro area stock markets across country and industry portfolios. We develop and estimate a conditional intertemporal CAPM where returns on aggregate euro area, country and industry portfolios depend on the market risk as well as on the risk that the investment opportunity set changes over time. Prices of risks are time-var...

This study examines the empirical relattonship between the return and the total market value of NYSE common stocks. It is found that smaller firms have had htgher risk adjusted returns, on average, than larger lirms. This ‘size effect’ has been in existence for at least forty years and is evidence that the capital asset pricing model is misspecttied. The size elfect is not linear in the market ...

We generalize the Arbitrage Pricing Theory (APT) to include the contribution of virtual arbitrage opportunities. We model the arbitrage return by a stochastic process. The latter is incorporated in the APT framework to calculate the correction to the APT due to the virtual arbitrage opportunities. The resulting relations reduce to the APT for an infinitely fast market reaction or in the case wh...

We consider an inference method for prediction based on belief functions in quantile regression with an asymmetric Laplace distribution. Specifically, we apply this method to the capital asset pricing model to estimate the beta coefficient and measure volatility under various market conditions at given levels of quantile. Likelihood-based belief functions are calculated from historical data of ...