Quote from Kevin Schmit:
On the contrary, if your compensation is determined by common
risk-adjusted return measures -- e.g. Sharpe, Sortino, Jensen's
Alpha, etc -- on a discrete sampling interval (monthly, quarterly,
yearly...), then sub-interval martingales make perfect sense.
This can be proved analytically or through MC simulation.
Use this simple rule:
If the Sharpe is above your benchmark in the first half of
an interval, then decrease exposure for the second half,
if below in the first half, increase exposure. Test this, you
will see martingale magic at work.
Permanent exposure with periodic adjustments. The only thing you have to worry about is not to be in the wrong side. That is, in my opinion, the best way to trade. Probably the only practical form of managing large positions as well.
