TY - JOUR AU - Chou,Ray AU - Engle,Robert F. AU - Kane,Alex TI - Measuring Risk Aversion From Excess Returns on a Stock Index JF - National Bureau of Economic Research Working Paper Series VL - No. 3643 PY - 1991 Y2 - March 1991 UR - http://www.nber.org/papers/w3643 L1 - http://www.nber.org/papers/w3643.pdf N1 - Author contact info: Ray Y. Chou E-Mail: rchou@econ.sinica.edu.tw Robert F. Engle, III Department of Finance, Stern School of Business New York University, Salomon Center 44 West 4th Street, Suite 9-160 New York, NY 10012-1126 Tel: 212/998-0710 Fax: 212/995-4220 E-Mail: rengle@stern.nyu.edu Alex Kane Graduate School of IRPS/D-019 University of California, San Diego La Jolla, CA 92093-0519 Tel: 619/534-5969 E-Mail: akane@ucsd.edu AB - We distinguish the measure of risk aversion from the slope coefficient in the linear relationship between the mean excess return on a stock index and its variance. Even when risk aversion is constant, the latter can vary significantly with the relative share of stocks in the risky wealth portfolio, and with the beta of unobserved wealth on stocks. We introduce a statistical model with ARCH disturbances and a time-varying parameter in the mean (TVP ARCH-N). The model decomposes the predictable component in stock returns into two parts: the time-varying price of volatility and the time-varying volatility of returns. The relative share of stocks and the beta of the excluded components of wealth on stocks are instrumented by macroeconomic variables. The ratio of corporate profit over national income and the inflation rate ore found to be important forces in the dynamics of stock price volatility. ER -