This paper examines the effects of uncertainty about the stock return predi
ctability on optimal dynamic portfolio choice in a continuous time setting
for a long-horizon investor. Uncertainty about the predictive relation affe
cts the optimal portfolio choice through dynamic learning, and leads to a s
tate-dependent relation between the optimal portfolio choice and the invest
ment horizon. There is substantial market timing in the optimal hedge deman
ds, which is caused by stochastic covariance between stock return and dynam
ic learning. The opportunity cost of ignoring predictability or learning is
found to be quite substantial.