It’s easy to overlook the fact that, in thinking about investment risk, we are implicitly making a choice about the benchmark against which risk is measured. It’s a convention, which we often take for granted, to use our local hard currency as the risk-less benchmark – but this choice,...

A sound policy for spending wealth over time is as important as a sensible investment policy. It's a complex problem for taxable individuals with finite, uncertain longevity. A good start is thinking about the simpler problem of how one would spend if immortal. This is exactly the real problem...

The bedrock of financial economics is that there should be a tradeoff between risk and reward: an investment with low risk should have a low expected return, while one that could make you rich should also be one which could lose you a lot of money. A lot of research in finance is focused on...

What would you do if you were invited to play a game where you were given $25 and allowed to place bets for 30 minutes on a coin that you were told was biased to come up heads 60% of the time? This is exactly what we did, gathering 61 young, quantitatively trained men and women to play this...

Understanding the origins of wealth inequality is critical in the debate over what, if anything, to do about it. In this note, we propose a simple model which is still rich enough to reproduce observed patterns of wealth inequality. We call it the Concentrated Asset Betting (CAB) model. A key...

With 30% of the world's investment grade sovereign bonds trading at sub-zero yields, there is a growing acceptance that negative interest rates are the 'new normal.' Even very low probabilities of sustained negative interest rates in the future leads to incredibly high Expected Values for...

This note describes the background of Factor investing in its Smart Beta form, and discusses the reasons Factor investing has become a popular investing style. We also discuss a number of reasons for skepticism regarding forward-looking expected returns

March 2020 packed 2 ½ years of normal U.S. stock market volatility into one month, making it the most volatile month on record. Daily variability clocked in at 6%, six times higher than the average over the past 90 years. How should an investor respond to such volatility? In this article we...

These days it's become convention (reinforced by the media's treatment of wealth) to assess our net worth by tallying up the market value of our financial assets, even though it's more natural and useful to think of our wealth as a stream of dollars over time given the nature of our income and...

In understanding how leveraged ETFs perform, we'll uncover an important lesson relevant to all investing: how your choice of investment size can be more important than your choice of investment. To summarize, highly leveraged long and short ETFs provide a perfect illustration of how...