Portfolio Construction

Multiple Factor Model – Building 130/30 Index

March 5, 2012 | systematicinvestor

Nico brought to my attention the 130/30: The New Long-Only (2008) by A. Lo, P. Patel paper in his comment to the Multiple Factor Model – Building CSFB Factors post. This paper presents a very detailed step by step guide to building 130/30 Index using average CSFB Factors as the alpha model and MSCI ... [Read more...]

The top 7 portfolio optimization problems

January 5, 2012 | Pat

Stumbling blocks on the trek from theory to practical optimization in fund management. Problem 1: portfolio optimization is too hard If you are using a spreadsheet, then this is indeed a problem. Spreadsheets are dangerous when given a complex task.  Portfolio optimization qualifies as complex in this context (complex in data ...
[Read more...]

Backtesting Rebalancing methods

December 15, 2011 | systematicinvestor

I wrote about Rebalancing in the Asset Allocation Process Summary post. Deciding how and when to rebalance (update the portfolio to the target mix) is one of the critical steps in the Asset Allocation Process. I want to study the portfolio performance and turnover for the following Rebalancing methods: Periodic ... [Read more...]

Backtesting Minimum Variance portfolios

December 12, 2011 | systematicinvestor

I want to show how to combine various risk measures I discussed while writing the series of posts about Asset Allocation with backtesting library in the Systematic Investor Toolbox. I will use Minimum Variance portfolio as an example for this post. I recommend reading a good discussion about Minimum Variance ... [Read more...]

Style Analysis

November 17, 2011 | systematicinvestor

During the final stage of asset allocation process we have to decide how to implement our desired allocation. In many cases we will allocate capital to the mutual fund managers who will invest money according to their fund’s mandate. Usually there is no perfect relationship between asset classes and ... [Read more...]

Black-Litterman Model

November 15, 2011 | systematicinvestor

The Black-Litterman Model was created by Fisher Black and Robert Litterman in 1992 to resolve shortcomings of traditional Markovitz mean-variance asset allocation model. It addresses following two items: Lack of diversification of portfolios on the mean-variance efficient frontier. Instability of portfolios on the mean-variance efficient frontier: small changes in the input ... [Read more...]

Resampling and Shrinkage : Solutions to Instability of mean-variance efficient portfolios

November 11, 2011 | systematicinvestor

Small changes in the input assumptions often lead to very different efficient portfolios constructed with mean-variance optimization. I will discuss Resampling and Covariance Shrinkage Estimator – two common techniques to make portfolios in the mean-variance efficient frontier more diversified and immune to small changes in the input assumptions. Resampling was introduced ... [Read more...]

Geometric Efficient Frontier

November 9, 2011 | systematicinvestor

What is important for an investor? The rate of return is at the top of the list. Does the expected rate of return shown on the mean-variance efficient frontier paints the full picture? If investor’s investment horizon is longer than one period, for example 5 years, than the true measure ... [Read more...]

Maximizing Omega Ratio

November 3, 2011 | systematicinvestor

The Omega Ratio was introduced by Keating and Shadwick in 2002. It measures the ratio of average portfolio wins over average portfolio losses for a given target return L. Let x.i, i= 1,…,n be weights of instruments in the portfolio. We suppose that j= 1,…,T scenarios of returns with equal ... [Read more...]

Minimizing Downside Risk

November 1, 2011 | systematicinvestor

In the Maximum Loss and Mean-Absolute Deviation risk measures, and Expected shortfall (CVaR) and Conditional Drawdown at Risk (CDaR) posts I started the discussion about alternative risk measures we can use to construct efficient frontier. Another alternative risk measure I want to discuss is Downside Risk. In the traditional mean-variance ... [Read more...]

130/30 Porfolio Construction

October 18, 2011 | systematicinvestor

The 130/30 funds were getting lots of attention a few years ago. The 130/30 fund is a long/short portfolio that for each $100 dollars invested allocates $130 dollars to longs and $30 dollars to shorts. From portfolio construction perspective this simple idea is no so simple to implement. Let’s continue with our discussion ... [Read more...]
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