"Portfolio Management Formulas" is a technical book that provides a detailed exploration of mathematical trading methods. The book covers a range of topics, including:
Perhaps Vince’s most radical contribution was his critique of the Sharpe Ratio. He argued that the Sharpe Ratio is flawed because it measures risk as standard deviation (volatility) relative to a risk-free rate. For a trader using leverage, volatility can be good if it skews positively.
The most significant contribution of the book is the concept of
Where: ( T_i ) = profit/loss of trade ( i ) (signed) ( W ) = worst-case loss in the series (as a positive number) ( f ) = fraction of capital allocated ( G(f) ) = geometric mean.
The most famous contribution of the 1990 text is the derivation of . This is the fraction of your account to risk on a single trade to maximize the geometric growth rate of your capital over time.
The Mathematical Frontier of Money Management: An Analysis of Ralph Vince’s Portfolio Management Formulas Published in November 1990, Ralph Vince’s Portfolio Management Formulas
The precise amount to trade for each system based on its risk profile.