This paper presents an approximate analytical solution to the optimal consu
mption and portfolio choice problem of an infinitely lived investor with Ep
stein-Zin-Weil utility who faces a constant riskless interest rate and a ti
me-varying equity premium. When the model is calibrated to U.S. stock marke
t data, it implies that intertemporal hedging motives greatly increase, and
may even double, the average demand for stocks by investors whose risk-ave
rsion coefficients exceed one. The optimal portfolio policy also involves t
iming the stock market. Failure to time or to hedge can cause large welfare
losses relative to the optimal policy.