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Kelly's formula and money management for trading

(2006-06-26 09:23:07) 下一個
Kelly Formula
What is the Kelly criterion (or formula)? It is a formula for calculating how much to bet. It assumes that your objective is long term capital growth (getting rich). The handicapper's choice of money management strategy is similar to the stock market choice between growth stocks and income stocks. Growth stocks tend to be more volatile, but in the long term return more profit. That is because the profits from growth stocks are reinvested rather than skimmed off. Every reinvestment is a calculated risk. Therefore, income stocks tend to fluctuate in value less, but also return less profit in the long term. Kelly betting is for growth. It reinvests profits, and thus puts them at risk. If your objective is to make small but consistent profits,it may be too aggressive a money management scheme.

The Kelly's formula is : Kelly % = W - (1-W)/R where:

Kelly % = percentage of capital to be put into a single trade.
W = Historical winning percentage of a trading system.
R = Historical Average Win/Loss ratio.

Kelly's seminal paper, A New Interpretation of Information Rate, 1956, examines ways to send data over telephone lines. One part of his work, The Kelly Formula, also applies to trading, to optimize bet size.

In reality, I think Kelly's formula is too risky for real money management. One reason is, your trading size will affect both market price and your own feelings. Another reason is, historical data may underestimate risk a lot as what happened in LTCM's blowup. The optimal trading size should be less than half of what Kelly's formula tells you and should be less than 30% of your portfolio for short term trading.
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