Duration is an important parameter used by investors to choose between different investment opportunities in financial economics. While the concept of duration is usually associated with fixed-income assets, its expansion to the equity assets is becoming more relevant in the recent period, due...

In this paper, we propose an innovative VIX model which takes future market information available to the traders into account. The future information is modeled by an initially enlarged filtration in our setup. We derive an explicit representation for the anticipative VIX process and obtain the...

We consider a large trader liquidating a portfolio using a transparent trading venue with price impact and a dark pool with execution uncertainty. The optimal execution strategy uses both venues continuously, with dark pool orders over-/underrepresenting the portfolio size depending on return...

In this paper we present a simple closed form stock price formula, which captures empirical regularities of high frequency trading (HFT), based on two factors: (1) exposure to hedge factor; and (2) hedge factor volatility. Thus, the parsimonious formula is not based on fundamental valuation. For...

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 provides a new empirical strategy for testing models of information choice based on observing which types of information are consumed and incorporated into asset prices. Consistent with the predictions of the information driven comovement hypothesis (Veldkamp 2006), we find that stock...

We overview exchange-traded funds and notes mechanism and market. We consider different classes of ETFs: long, short, unleveraged, leveraged. We show tables and graphs of leveraged and short ETF behaviors for up and down moves for educational purposes. We describe historical behavior of several...

The principles of behavioral psychology can explain how crashes occur. In particular, the concept of "stimulus generalization" tells us that organisms tend to respond in the same way to similar stimuli. In a crash, or pre-crash, context, several stimuli - including rising prices, above-average...

I introduce a method for gauging the qualitative similarity of firm-specific information based on linguistic commonality in newswire text. I show that this new qualitative similarity measure predicts future cross-firm return correlation even after accounting for the pair's contemporaneous price...

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 &...