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 introduces a model-free decomposition of S&P 500 forward market index returns in terms of realized and implied dispersion, downside, and tail risk using option portfolios. The decomposition lends itself by construction to learn about the different sources of risk in the market return,...

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)...

The extended trading close (ETC) provides institutional investors an opportunity to trade at the closing price after the regular trading session (RTS) and disclosing the order imbalances to other market participants. ETCs exist in the Nasdaq, the SSE STAR, the SZSE ChiNext and the TWSE. To help...

This paper shows that the well-documented distress anomaly does not hold in market downturns. The asset beta and financial leverage of distressed stocks rise significantly during bear markets, resulting in a dramatic increase in their equity beta. Hence, a long/short healthy-minus-distressed...