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Episode 270: Victor Haghani and James White: The Missing Billionaires

The Rational Reminder Podcast

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Understanding Utility and the Merton Share

Utility is a complex concept where sizing positions in risky assets like stocks is done proportionally to expected returns and inversely to variance, known as the Merton share. This concept entails doubling the bet size when the expected return doubles and cutting the bet size when the volatility doubles, resulting in an inversely quadratic relationship between risk and return. The Merton share is named after Bob C. Merton, who introduced the concept in a 1969 paper, utilizing advanced mathematical analysis, which was a significant contribution predating the famous Black-Scholes model. The Merton share is a specialized application derived from Merton's paper, assuming normal distribution of returns and other standard assumptions.

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