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Portfolio Management Intermediate 1 min read

Risk-Adjusted Return

Definition
Return metric accounting for the level of risk taken.

Risk-Adjusted Return is a performance metric used in investment analysis that measures the net profit or loss of an investment relative to its risk. It provides a more comprehensive view of an investment's performance by considering both its returns and the level of risk taken to achieve those returns.

How It Works

Risk-Adjusted Return is typically calculated using the following formula:

  • Risk-Adjusted Return = (Return - Risk-Free Rate) / Volatility

Here's a breakdown of the formula:

  • Return - The actual return of the investment.
  • Risk-Free Rate - The theoretical return on an investment with zero risk, often represented by the yield on government bonds.
  • Volatility - A measure of the investment's risk, often represented by its standard deviation.

Why It Matters

Risk-Adjusted Return is a crucial metric for investors as it helps them understand the trade-off between risk and return. For instance, consider two investments, A and B:

  • Investment A provides a 10% return with a volatility of 5%.
  • Investment B provides a 15% return with a volatility of 10%.

While Investment B has a higher return, its risk is also higher. Using the Risk-Adjusted Return formula, we can compare these investments on a risk-adjusted basis:

  • Risk-Adjusted Return of Investment A = (10% - 3%) / 5% = 1.4
  • Risk-Adjusted Return of Investment B = (15% - 3%) / 10% = 1.2

In this case, despite its higher return, Investment B has a lower Risk-Adjusted Return, indicating that Investment A might be a better choice for risk-averse investors.