We show that the probability of risk parity beating any other portfolio is more than 50 percent. We also prove that if portfolio performance is measured by Sharpe ratio, risk parity is the only maximin portfolio when (1) all assets' future Sharpe ratios are greater than an unknown constant and...

We show that the profitability of time-series momentum strategies on commodity futures across their entire history is strongly sensitive to the starting day. Using daily returns with 252-day formation periods and 21-day holding periods, the Sharpe ratio depends on whether one starts on the first...

Does better performance lead to more assets? We examine nearly 30,000 mutual funds to determine the effect that a funds outperformance relative to its peers has on the funds later asset size. We find that a fund that earns ten percent more than the size-weighted average of its peers in its style...