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Forex Trading

Treynor Ratio Definition, Formula, What It Shows

By May 4, 2023December 23rd, 2024No Comments

what is the treynor ratio

In contrast, despite having the highest percentage, Investment C is the worst-performing investment among the three. This difference in the results came because of the use of the measure of the risk in the Treynor ratio calculation. 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 don’t catch a falling knife of 1.

Treynor ratio is a measure of investment return in excess of the risk-free rate earned per unit of systematic risk. It is calculated by finding the difference between the portfolio return and the risk-free rate and dividing it by the beta coefficient of the portfolio. Both the Treynor Ratio and Sharpe Ratio measure the performance of an investment per unit risk, but they do it differently. Another difference is that Treynor Ratio uses historical returns only, while the Sharpe ratio can use either expected returns or actual returns.

The understanding of the formula shall give us a clear understanding of the concept and its related factors and shall help us identify a good Treynor ratio as well. When you are looking at trading performance metrics, like the Treynor Ratio, please make sure you understand what you are measuring. There is no plain right or wrong in trading and speculation, and thus you need to both understand and comprehend what you are measuring. polish zloty exchange rate But you should note that the returns here are of the past, which may not indicate future performance. So, you shouldn’t rely on this one ratio alone for your investment decisions. As a financial analyst, it is important to not rely on a single ratio for your investment decisions.

  1. As an example, let’s look at how to calculate the Treynor ratio for a share basket​, such as the ones offered on our Next Generation trading platform.
  2. The ratio incorporates the portfolio return, risk-free rate, and portfolio beta in its calculation.
  3. Again, we find that the best portfolio is not necessarily the portfolio with the highest return.
  4. Sharpe ratio is a metric similar to the Treynor ratio used to analyze the performance of different portfolios, taking into account the risk involved.
  5. By spreading investments across different asset classes with low correlations, investors can potentially reduce overall portfolio volatility while maintaining, or even improving, returns.

The Treynor Ratio is a risk-adjusted performance measure that indicates how much return an investment earned per unit of risk taken. It adjusts for systematic risk, offering insights into the efficiency of an investment on a risk-adjusted basis. What this means is that you don’t use it for a portfolio of securities from different asset classes as there would be no benchmark to compute the beta.

what is the treynor ratio

Limitations of the Treynor Ratio

The Modified Treynor Ratio adjusts the traditional Treynor Ratio formula to account for the fact that some portfolios may have higher unsystematic risk than others. This enhancement can provide a more accurate assessment of the risk-adjusted return for non-diversified portfolios. Systematic or market risk is gauged by stock indices​​ as they are a large basket of stocks, which are not easily affected by price movements of the individual stocks within them. These terms all relate to the capital asset pricing model (CAPM), which is a larger topic that seeks to assess returns versus risk, similar to the Treynor ratio. The Sharpe ratio adjusts portfolio returns using the portfolio’s standard deviation, while the Treynor ratio adjusts portfolio returns for systematic risk. While no investment is truly risk-free, the Treynor ratio typically uses adventure capitalist treasury bills to represent a risk-free return.

So, the market index yielded a better risk-adjusted return during that period. Note that the S&P 500 is given a beta value of 1 because it is a broad market index. The Equity Portfolio’s total return is 7%, and the Fixed Income Portfolio’s total return is 5%. As a proxy for the risk-free rate, we use the return on U.S Treasury Bills – 2%.

How Do You Measure the Performance of a Portfolio?

However, Treynor ratio measures excess return with reference to the systematic risk (i.e. beta coefficient) instead of total risk (i.e. standard deviation). Conversely, the Treynor and Sharpe ratios examine average returns for the total period under consideration for all variables in the formula (the portfolio, market, and risk-free asset). Similar to the Treynor measure, however, Jensen’s alpha calculates risk premiums in terms of beta (systematic, undiversifiable risk) and, therefore, assumes the portfolio is already adequately diversified. As a result, this ratio is best applied to an investment such as a mutual fund. Treynor Ratio is the excess return earned per unit of risk taken by a portfolio. It is a performance metric that measures the return a portfolio generates in excess of the risk-free rate and divides that by the systematic risk.

Treynor Ratio: How To Calculate it, Definition and Calculator

The Sharpe ratio divides the equation by a standard deviation of the portfolio, which is the biggest difference between the Sharpe ratio and the Treynor ratio. Standard deviations can help to determine the historical volatility of an asset. Beta on the other hand, is a measure of an asset’s volatility as it relates to the overall market. The Sharpe ratio is another return and risk ratio, and it seeks to understand how well an asset performed compared to a risk-free investment. This is different to the Treynor ratio, which analyses how well a portfolio performed relative to a benchmark for the underlying market. Developed around the same time as the Sharpe ratio, the Treynor ratio also seeks to evaluate the risk-adjusted return of an investment portfolio, but it measures the portfolio’s performance against a different benchmark.

The ratio incorporates the portfolio return, risk-free rate, and portfolio beta in its calculation. The main pitfalls of the Treynor ratio include the fact that it is only backward looking and historical returns and betas may not accurately reflect the future. Stocks have pre-calculated betas but, for other markets, they will likely need to be manually calculated. For example, you could analyse a commodity index​​ to get the beta of a commodity. This can complicate computing the Treynor ratio when there are multiple assets within a portfolio. These drawbacks should all be taken into consideration, along with its advantages, when deciding to trade using the Treynor ratio.

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