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  |  DEC 1990

Find your optimal f by Ralph Vince

Find your optimal f by Ralph Vince As a computer programmer for Larry Williams, winner of the 1987 World Cup Championship of Futures Trading, I have had the opportunity to analyze many good trading systems. Even the best systems, however, suffer from an as-yet incomplete library of money management techniques. I felt a technique to select the optimal number of contracts to trade in an account needed to be designed. The value of such a system is determined by using the formula for mathematical expectation: (W•P)+[L (1 -P)]=ME Where: P = The probability of winning W = The amount you may win L = The amount you may lose ME = Mathematical expectation Suppose someone offers to pay you $2 if a coin toss comes up heads, but you must pay $1 if the result is tails. The mathematical expectation here is a positive 50 cents, because (2 • 0.5) + [-1 (1 - 0.5)] = 0.50

by Ralph Vince

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