We show that any objective risk measurement algorithm mandated by central banks for regulated financial entities will result in more risk being taken by those financial entities than would otherwise be the case. Furthermore, the risks taken by the regulated financial entities are far more...

We solve two "unsolvable" (teyku) problems from the Talmud that had remained unsolved for about one and a half thousand years. The Talmudic problems concern the implied decision-making of farmers who have left some scattered fruit behind, and the alleged impossibility of knowing whether they...

Drawing on and extending an estate allocation algorithm of 12th century philosopher Moses ben Maimon, we show how “Maimonides Risk Parity” can link together the equal weighted, market capitalization weighted, and risk parity portfolios in a unified, elegant, and concise theoretical...

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...

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...

We introduce a new general framework for constructing the best trading strategy for a given historical indicator. We construct the unique trading strategy with the highest expected return. This optimal strategy may be implemented directly, or its expected return may be used as a benchmark to...

We show that any objective risk measurement algorithm mandated by central banks for regulated financial entities will result in more risk being taken on by those financial entities than would otherwise be the case. Furthermore, the risks taken on by the regulated financial entities are far more...