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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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The Treynor measure and the Sharpe measure are both used to evaluate the performance of a portfolio by comparing the risk-adjusted returns. However, they differ in the way they measure risk. Which of the following statements accurately describes the difference between the Treynor measure and the Sharpe measure?

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TTanishq



Explanation:

Explanation

The correct answer is A.

Key Differences Between Treynor and Sharpe Measures:

Treynor Measure:

  • Uses beta as the risk measure
  • Beta measures the volatility of a portfolio relative to the market
  • Only considers systematic risk (market risk that affects all securities)
  • Systematic risk cannot be eliminated through diversification

Sharpe Measure:

  • Uses standard deviation as the risk measure
  • Standard deviation measures the total risk of the portfolio
  • Includes both systematic and unsystematic risk
  • Unsystematic risk is unique to individual securities and can be eliminated through diversification

Why Other Options Are Incorrect:

Option B: Incorrect - The Sharpe measure does NOT use beta; it uses standard deviation. The Treynor measure uses beta, not standard deviation.

Option C: Incorrect - The complexity of calculation is not a primary distinction between the two measures. Both are relatively straightforward to calculate when the required data (returns, beta, or standard deviation) are available.

Option D: Incorrect - Both measures can be used for any type of portfolio, regardless of diversification level. The Sharpe measure is particularly useful for evaluating portfolios that are not well-diversified since it considers total risk.

Practical Implications:

  • Treynor Ratio is better for well-diversified portfolios where unsystematic risk has been minimized
  • Sharpe Ratio is more appropriate for portfolios that may not be fully diversified, as it accounts for both systematic and unsystematic risk
  • Both ratios help investors compare risk-adjusted returns across different portfolios or investment strategies
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