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.

Simple tests of predicted returns

Some ways to explore how good a method of predicting returns is. Data and model The universe is 443 large cap US stocks that have data back to the beginning of 2004.  The daily (adjusted) close was used. The model that is used as an example is the default signal from the MACD function of … Continue reading

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R for finance and other upcoming events

Featured R for Finance Workshop 2013 March 5-6 in London. The target audience are professionals and academics, who wish to learn the basics of the statistical software R and its use in Finance. The workshop is led by Ron Hochreiter, Pat Burns and Michael Sun. Details are on the Unicom website.  Please reference Burns Statistics … Continue reading

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Variability of predicted portfolio volatility

A prediction of a portfolio’s volatility is an estimate — how variable is that estimate? Data The universe is 453 large cap US stocks. The variance matrices are estimated with the daily returns in 2012. Variance estimation was done with Ledoit-Wolf shrinkage (shrinking towards equal correlation). Two sets of random portfolios were created.  In both … Continue reading

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An infelicity with Value at Risk

More risk does not necessarily mean bigger Value at Risk. Previously “The incoherence of risk coherence” suggested that the failure of Value at Risk (VaR) to be coherent is of little practical importance. Here we look at an attribute that is not a part of the definition of coherence yet is a desirable quality. Thought … Continue reading

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The components garch model in the rugarch package

How to fit and use the components model. Previously Related posts are: A practical introduction to garch modeling Variability of garch estimates garch estimation on impossibly long series Variance targeting in garch estimation The model The components model (created by Engle and Lee) generally works better than the more common garch(1,1) model.  Some hints about … Continue reading

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A sister blog is born

The Burns Statistics blog had it’s first real post today (about the corner function in the BurStMisc package).  The blog will talk mainly about the R language, statistics and programming — it will not have the financial focus of the Portfolio Probe blog. The posts on the Burns Statistics blog will be announced on Twitter … Continue reading

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Clustering and sector strength

An exploration of the usefulness of sectors. Previously This subject was discussed in “S&P 500 sector strengths”. Idea Stocks are put into groups based on the sector that the company is considered to be in.  Cluster analysis is a statistical technique that finds groups.  If sectors really move together, then clustering should recover sectors.  Will … Continue reading

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My missed opportunity with random portfolios

The Observer tells of a ginger tabby named Orlando who selected a random portfolio that won an investment contest.  Meanwhile I have a gray tabby here on the desk doing nothing.  All that effort to write software to generate random portfolios efficiently when I could have been using cat power instead. Not a single random … Continue reading

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The incoherence of risk coherence

What coherent risk measures are, why some people think coherence is important, and why I don’t. The rules A risk measure is considered to be coherent if it satisfies some mathematical properties.  They are formulated in various ways — here is one set: (monotonicity) If the value of portfolio X is always bigger than the … Continue reading

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Market predictions for year 2013

Calibrations of 2013 predictions for 18 equity indices — plus some publicly available predictions. Orientation The distributions are an attempt to see the variability if there were no market-driving news for the whole year. Another way of thinking: mentally moving the distribution to center on a prediction gives a sense of the variability of results … Continue reading

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