Treynor Ratio: Explained: What is it, how to calculate it, formula, why it’s important

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what is the treynor ratio

From the table above, Fund C has the least volatile returns as indicated by the lowest beta value. In fact, it is less volatile than the market benchmark is normally given a beta value of 1. But it turned out to offer the best return per unit risk taken as shown by the Treynor Ratio. But you should note that the returns here are of the past, which may not indicate future performance.

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what is the treynor ratio

The Treynor ratio was created by American economist Jack Treynor, who also developed the Capital Asset https://forexanalytics.info/ Pricing Model (CAPM) in the 1960s. The CAPM is a model that determines an asset’s theoretically suitable minimum rate of return, helping investors make decisions regarding the addition of assets to a well-diversified portfolio. From the formula below, you can see that the ratio is concerned with both the return of the portfolio and its systematic risk.

what is the treynor ratio

For example, if the Treynor ratio is used to measure the risk-adjusted return of a domestic large-cap mutual fund, it would be inappropriate to measure the fund’s beta relative to the Russell 2000 Small Stock index. Now that we’ve covered what the Treynor Ratio is, why it’s important, and its limitations, let’s talk about how you can use it to make informed investment decisions. If you’re looking forexanalytics.info at two different portfolios with the same return, but one has a higher beta, then the portfolio with the lower beta would be considered to have a higher Treynor Ratio. This means that it’s providing a better return for the amount of risk that it’s taking on, which is ultimately what we’re after. When you are looking at trading performance metrics, like the Treynor Ratio, please make sure you understand what you are measuring.

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The beta of the portfolio is a critical factor, and a negative beta renders the Treynor Ratio meaningless. Some researchers have proposed incorporating alternative risk measures into the Treynor Ratio, such as Value-at-Risk (VaR) or Conditional Value-at-Risk (CVaR), to better capture the risk characteristics of certain investment portfolios. The Treynor Ratio has numerous practical applications in the world of finance, including portfolio management, fund evaluation and selection, and risk-adjusted performance comparisons. The Treynor ratio is calculated by taking the portfolio return, subtracting the risk-free rate, and dividing that number by the beta of the portfolio.

When the beta is zero, the asset is not correlated to the market, and when it is less than zero, the asset is negatively correlated to the market. By measuring the excess returns of a portfolio per unit systemic risk taken, the Treynor Ratio is a measurement of efficiency, utilizing the relationship between risk and returns. It implies that the portfolio has generated higher returns relative to its systematic risk, which is a desirable characteristic for investors.

  1. The Treynor Ratio is a portfolio performance measure that adjusts for systematic risk.
  2. There are several performance metrics available to investors, each with its unique focus and approach.
  3. Assuming a portfolio of commodities has a beta value of 1.8 and earned 15% in the past year while a portfolio of stocks with a beta of 2.5 earned 22% during the same period, their Treynor ratios can be compared as follows.
  4. And because these values are ordinal, the significance of their differences could not be determined as portfolios are compared.
  5. The Treynor Ratio is a measure used to assess the risk-adjusted performance of an investment or a portfolio.

Limitations of the Treynor Ratio

Ultimately, the Treynor ratio attempts to measure how successful an investment is in providing compensation to investors for taking on investment risk. The Treynor ratio is reliant upon a portfolio’s beta—that is, the sensitivity of the portfolio’s returns to movements in the market—to judge risk. If a portfolio has a negative beta, however, the ratio result is not meaningful. A higher ratio result is more desirable and means that a given portfolio is likely a more suitable investment.

The ratio incorporates the portfolio return, risk-free rate, and portfolio beta in its calculation. Provided all else is equal, a higher ratio is usually better when comparing similar investments, but it cannot define by how much exactly. In any case, it is important to note that for negative beta values, Treynor ratio values will not be useful. And because these values are ordinal, the significance of their differences could not be determined as portfolios are compared. For instance, while a 0.8 Treynor ratio is better than a 0.4, it’s not automatically twice as good.

11 Financial may only transact business in those states in which it is registered, or qualifies for an exemption or exclusion from registration requirements. 11 Financial’s website is limited to the dissemination of general information pertaining to its advisory services, together with access to additional investment-related information, publications, and links. The Treynor Ratio can be compared and contrasted with metrics such as the Sharpe Ratio, Jensen’s Alpha, and Sortino Ratio to provide a more holistic understanding of an investment’s performance. Systematic risk, also known as market risk, is the risk inherent in the overall market or economic system. We strive to empower readers with the most factual and reliable climate finance information possible to help them make informed decisions.

From the following information, we compute the Treynor Ratio of each portfolio. These ratios are concerned with the risk and return performance of a portfolio and are a quotient of return divided by risk. The Treynor Ratio is named for Jack Treynor, an American economist known as one of the developers of the Capital Asset Pricing Model. Investments are likely to perform and behave differently in the future than they did in the past.

This rate is used as a benchmark for comparing the performance of riskier investments. As a financial analyst, it is important to not rely on a single ratio for your investment decisions. From the results above, we see that the Treynor Ratio of the Equity Portfolio is slightly higher.

Formula and Interpretation

For instance, it would not be appropriate to use the Dow 30 Index to measure the beta of a mutual fund whose portfolio consists of small-cap companies. The Treynor Ratio has various applications in portfolio management, fund evaluation and selection, and risk-adjusted performance comparisons. Working with a wealth management professional who understands how to interpret and apply this metric can help investors make better-informed decisions and achieve their long-term financial goals. In this example, the portfolio generated a Treynor Ratio of 6.67%, which indicates its performance relative to its exposure to systematic risk. A higher Treynor Ratio indicates a better risk-adjusted return for the portfolio. Conversely, a lower ratio suggests that the portfolio’s returns are not adequate given the level of systematic risk it has assumed.

It includes capital gains, dividends, and interest payments, and can be expressed as a percentage of the initial investment. The Treynor Ratio is a portfolio performance measure that adjusts for systematic risk. In contrast to the Sharpe Ratio, which adjusts return with the standard deviation of the portfolio, the Treynor Ratio uses the Portfolio Beta, which is a measure of systematic risk. Beta (β) is a financial metric measuring the volatility of the asset or portfolio return compared to its benchmark. All other things being equal, Fund B would be the better choice because it’s providing a higher return for the amount of risk that it’s taking on. Assuming a portfolio of commodities has a beta value of 1.8 and earned 15% in the past year while a portfolio of stocks with a beta of 2.5 earned 22% during the same period, their Treynor ratios can be compared as follows.

This metric provides insight into the portfolio manager’s ability to generate returns beyond the market’s expectations. There are several performance metrics available to investors, each with its unique focus and approach. The Treynor-Black Model is a portfolio optimization technique that combines the Treynor Ratio with the principles of modern portfolio theory.

The higher the Treynor ratio, the better the performance of the portfolio under analysis. For example, if a standard stock market index shows a 10% rate of return—that constitutes beta. An investment portfolio showing a 13% rate of return is then, by the Treynor ratio, only given credit for the extra 3% return that it generated over and above the market’s overall performance.

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