November 2008
Intermediate to advanced
208 pages
4h 13m
English
Content preview from Quantitative Trading : How to Build Your Own Algorithmic Trading BusinessBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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Chapter 6. Money and Risk Management
All trading strategies suffer occasional losses, technically known as drawdowns. The drawdowns may last a few minutes or a few years. To profit from a quantitative trading business, it is essential to manage your risks in a way that limits your drawdowns to a tolerable level and yet be positioned to use optimal leverage of your equity to achieve maximum possible growth of your wealth. Furthermore, if you have more than one strategy, you will also need to find a way to optimally allocate capital among them so as to maximize overall risk-adjusted return.
The optimal allocation of capital and the optimal leverage to use so as to strike the right balance between risk management and maximum growth is the focus of this chapter, and the central tool we use is called the Kelly formula.
OPTIMAL CAPITAL ALLOCATION AND LEVERAGE
Suppose you plan to trade several strategies, each with their own expected returns and standard deviations. How should you allocate capital among them in an optimal way? Furthermore, what should be the overall leverage (ratio of the size of your portfolio to your account equity)? Dr. Edward Thorp, whom I mentioned in the preface, has written an excellent expository article on this subject in one of his papers (Thorp, 1997), and I shall follow his discussion closely in this chapter. (Dr. Thorp's discussion is centered on a portfolio of securities, and mine is constructed around a portfolio of strategies. However, the mathematics are ...
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