Intertemporal CAPM with Conditioning Variables

Abstract

This paper derives and tests an ICAPM based on a conditional version of the two-beta ICAPM (bad beta, good beta, BBGB) from Campbell and Vuolteenaho (2004). The novel factor is a scaled cash flow factor that results from the interaction between cash flow news and a lagged state variable. The cross-sectional tests over 10 portfolios sorted on size, 10 portfolios sorted on book-to-market and 10 portfolios sorted on momentum show that the scaled ICAPM explains relatively well the dispersion in excess returns on the 30 portfolios. The results for an alternative set of equity portfolios (25 portfolios sorted on size and momentum) show that the scaled ICAPM prices particularly well the momentum portfolios. Moreover, the scaled ICAPM compares favorably with alternative asset pricing models in pricing both sets of equity portfolios -- the BBGB model, the unconditional CAPM, the conditional CAPM, the Fama and French (1993) three-factor model, and the Carhart (1997) four-factor model. The scaled factor is decisive to account for the dispersion in average excess returns between past winner and past loser stocks. More specifically, past winners are riskier than past losers in times of high price of risk. Therefore, a time-varying cash flow beta/price of risk provides a rational explanation for momentum.