MOPTA 05 -- Modeling & Optimization: Theory and Applications Windsor, ON, Canada / 25 - 27 July 2005 Model-Based and Model-Free Optimization of a Stock Day-Trading Strategy Optimization of a stock day-trading strategy for a single asset is considered. Any position must be closed out at the day's end. Interest may be earned on days not in the market; note that this problem differs from that of merely optimizing the return in excess of the interest rate. Model-free, data-based optimization of the strategy turns out to lead to a relatively simple mathematical programming problem. Model-based optimization according to a first-order autoregressive model is also accomplished. The procedures are illustrated with actual stock rates of return.