Tag Archives: skewness

The portfolio optimization higher-moment credo

The question of skewness and kurtosis in portfolio optimization. Previously Problem 4 of “The top 7 portfolio optimization problems” concerns the use of higher moments. “Further adventures with higher moments” is the most recent in a series of posts on the efficacy of higher moments in optimization.  This set includes the observation that “trade selection” … Continue reading

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Further adventures with higher moments

Additional views of the stability of skewness and kurtosis of equity portfolios. Previously A post called “Four moments of portfolios” introduced the idea of looking at the stability of the mean, variance, skewness and kurtosis of portfolios through time. That post gave birth to a presentation at the London Quant Group. That talk gave birth … Continue reading

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The efficacy of higher moments in portfolio optimization

On Monday I gave a talk at the London Quant Group entitled “Exploring the efficacy of higher moments in portfolio optimisation”.  A substantial number of people showed up, and they taught me quite a lot about the subject.  So it seems to have been successful. There are now annotated slides available. The slides point towards … Continue reading

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Four moments of portfolios

What good are the skewness and kurtosis of portfolios? Previously The post “Cross-sectional skewness and kurtosis: stocks and portfolios” looked at skewness and kurtosis in portfolios.  The key difference between that post and this one is what distribution is being looked at. The previous post specified a single time and looked at the distribution across … Continue reading

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Cross-sectional skewness and kurtosis: stocks and portfolios

Not quite expected behavior of skewness and kurtosis. The question In each time period the returns of a universe of stocks will have some distribution — distributions as displayed in “Replacing market indices” and Figure 1. Figure 1: A cross-sectional distribution of simple returns of stocks. In particular they will have values for skewness and … Continue reading

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A slice of S&P 500 skewness history

How symmetric are the returns of the S&P 500? How does the skewness change over time? Previously We looked at the predictability of kurtosis and skewness in S&P constituents.  We didn’t see any predictability of skewness among the constituents.  Here we look at skewness from a different angle. The data Daily log returns of the … Continue reading

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Predictability of kurtosis and skewness in S&P constituents

How much predictability is there for these higher moments? Data The data consist of daily returns from the start of 2007 through mid 2011 for almost all of the S&P 500 constituents. Estimates were made over each half year of data.  Hence there are 8 pairs of estimates where one estimate immediately follows the other. … Continue reading

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