In this short note, we show investors one way to calculate ideal investment sizing by using two rules of thumb based on a simple outline of individual risk aversion. We illustrate these two heuristics, which are not widely appreciated, with thought experiments involving coin flips and ketchup &...

We show in a fairly general setting of a buyer and seller with the same preferences trading two related assets so as to share volatility risk that illiquidity and virtually all impediments to trade cannot be priced. This is because the buying and selling counterparties must both be optimizing....

This paper develops a framework to study general equilibrium implications for an economy in which agents are allowed to have dynamically inconsistent time and risk preferences. This framework accommodates, but is not limited to, the following settings: (1) non-exponential discounting; (2)...