Overlapping vs. Non Overlapping

Let’s say you want to compute the annualized monthly volatility of your portfolio. There are two ways to go about doing it : Compute the monthly volatility of each month for your portfolio, average it and multiply by sqrt(12) Create a moving window to capture monthly volatility, average it, and then multiply by sqrt(12). In this case, there will many more data points that give you an estimate of monthly volatility as compared to the first case.

Street-Fighting Mathematics : Summary

The title is meant to convey the message that many problems in mathematics can be solved using elementary tools, more of a street fighting kind than some heavy weight combat type tools. There have been many other books in this genre that highlight the importance of smart guessing and approximations but this book is exceptional in one way - It shows that math problems like solving differentiation, integration, differential equations, etc.

VIX computation

CBOE introduced VIX to measure the market’s expectation of 30-day volatility implied by at-the-money S&P 100 Index option prices. This was in 1993. Ten years later in 2003, CBOE with Goldman Sachs updated the VIX to reflect a new way to measure expected volatility, one that continues to be widely used by financial theorists, risk managers and volatility traders. The new VIX is based on S&P 500 Index and is estimated via averaging the weighted prices of SPX puts and calls over a wide range of strike prices.

Bootstrapping–flip side

Via Eran Raviv: The big plus of non-parametric bootstrap is that it is strictly data-based, without any distributional assumption, the big minus is the same, it is strictly data-based. Possible “futures” for the rate series in green and the red line is the actual realization

Defending HFT

Via TradersMag:For the past month, high-frequency trading has been under attack. The first volley came on a Sunday night in late March, when author Michael Lewis, introducing his new book Flash Boys on the news magazine program 60 Minutes, delivered the most perfectly succinct of all headline-grabbing comments. “The markets are rigged,” he told correspondent Steve Kroft, implying that high-frequency traders front-run the market and are cheating ordinary investors. Since then, the imagery used to battle HFT has only grown more fanciful and over the top.