Category Archives: Blog

The ultimate aim of the Portfolio Probing blog is to help make fund management more effective, to make savings safer through better tools and better methods. Patrick Burns, the founder of Burns Statistics, offers a unique mix of experience in quantitative finance, statistics, computing and writing.

Motivating retirement savings

You can win money by saying how to get people to treat themselves better. InnoCentive has a challenge: How do we best get people to understand how important it is to plan for, and take specific action steps today, to create a steady and reliable stream of income for their retirement years? What would be … Continue reading

Posted in Fund management in general | Leave a comment

Popular posts 2012 April

Most popular posts in 2012 April Information flows like water Replacing market indices The top 7 portfolio optimization problems A tale of two returns (posted in 2010) Cross-sectional skewness and kurtosis: stocks and portfolios Three things factor models do Beta is not volatility What the hell is a variance matrix? (posted in 2010) The quality … Continue reading

Posted in Blog | Tagged | Leave a comment

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

Posted in Quant finance, R language | Tagged , , | 2 Comments

A variance campaign that failed

they ought at least be allowed to state why they didn’t do anything and also to explain the process by which they didn’t do anything. First blush One of the nice things about R is that new statistical techniques fall into it.  One such is the glasso (related to the statistical lasso) which converts degenerate … Continue reading

Posted in Quant finance, R language | Tagged | Leave a comment

Low volatility investing and benchmarks

The focus on tracking error rules out a low volatility strategy. Simply put, most money managers are focused on outperforming their benchmarks without adding risk. And because risk is measured on a relative basis, a portfolio that moves up and down less than its benchmark is perceived as more risky on a relative basis because … Continue reading

Posted in Fund management in general | Tagged , | Leave a comment

Information flows like water

Guiding a ship, it takes more than your skill Spark David Rowe’s Risk column this month is about data leverage. The idea is that you are leveraging your data if you are using it to answer questions that are too demanding of information. The piece reminded me of a talk that Dave gave a few … Continue reading

Posted in R language, Statistics | Tagged | 6 Comments

Three things factor models do

Factor models are heavily used in finance to create variance matrices. Here’s why. Factor models: Provide non-degenerate estimates Save space Quantify sources of risk Non-degenerate estimates First off, what does this mean? The technical term is that you want your estimate of the variance matrix to be positive definite.  In practical terms what that means … Continue reading

Posted in Quant finance | Tagged , , | 3 Comments

Betas of the low vol cohorts

How did the constraints affect portfolio betas, and how did the betas change over time? Previously “Low (and high) volatility strategy effects” created 6 sets of random portfolios — the so-called low vol cohorts — as of 2007 and showed their performance up to about a month ago. “Rebalancing the low vol cohorts” looked at … Continue reading

Posted in Quant finance, R language, Random portfolios | Tagged , | 1 Comment

Replacing market indices

If equity markets suddenly sprang into existence now, would we create market indices? I’m doubtful. Why an index? The Dow Jones Industrial Average was born in 1896.  This was when computers were humans with adding machines (but they did do parallel processing).  At that point boiling “the market” down to a single number had value. … Continue reading

Posted in Fund management in general, Market portrait, R language | Tagged , , | 148 Comments

Popular posts 2012 March

Most popular posts in 2012 March Beta is not volatility The shadows and light of models A tale of two returns (posted in 2010) The top 7 portfolio optimization problems Low (and high) volatility strategy effects The quality of variance matrix estimation The BurStFin R package Realized efficient frontiers A minimum variance portfolio in 2011 … Continue reading

Posted in Blog | Tagged | 1 Comment