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Quantitative Portfolios for Active Investors

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Money Management 

Capital allocation is more important than strategies. Below are three directions that you can dig if interested. One doesn't exclude each other.

Permanent Portfolio. The capital is equally divided in four parts: equities, physical gold, long term bonds, and short term bills (or cash). This is a defensive approach which implements the old adage "don't put all your eggs in one basket" and results in having at least one basket increasing in value in any market condition. A fund based on the permanent portfolio principle has scored an average 6% a year since 1996.

- Modern Portfolio Theory. This is a statistical model of allocation between strategies, funds or equities, according to their average performance, volatility and correlation. It aims at calculating a curve on which performance and risk can be theoretically optimized. Some mathematical hypotheses have been proven unrealistic but this model is still widely used among professionals.

- Game Theory and Information Theory have developed some models, the most famous by J. L. Kelly. Kelly's formula doesn't give a so complete answer as Modern Portfolio Theory, but it makes less irrealistic hypotheses and is easier to calculate. Its value gives the theoretical percentage of an available capital to bet on a strategy to maximize performance on the long term. In reality this should be considered as the maximum limit. We use it as a probabilistic indicator of robustness. The higher the result, the more reliable the strategy.



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