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Institute of Investing

Risk-Adjusted Metrics

Evaluating investment performance solely on absolute returns is inadequate. Institutional frameworks rely on risk-adjusted metrics to determine if outperformance is due to manager skill (alpha) or simply taking on excessive systemic risk (beta).

The Sharpe Ratio

Developed by William Sharpe, this is the most widely used metric for calculating risk-adjusted return. It measures the excess return per unit of total risk (volatility).

Sharpe Ratio = (Rp - Rf) / σp

A Sharpe ratio > 1 is considered good; > 2 is exceptional. A critical flaw is that it penalizes upside volatility just as much as downside volatility.

The Sortino Ratio

A modification of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative portfolio returns (downside deviation).

Sortino Ratio = (Rp - Rf) / σdownside

Generally preferred by hedge funds and alternative asset managers.

The Treynor Ratio

Measures returns earned in excess of that which could have been earned on a riskless investment per each unit of market risk (Beta). It uses systematic risk rather than total risk.

Treynor Ratio = (Rp - Rf) / βp

Practical Application

Calculate Sharpe Ratio