Asked by Dorthie Brown on Jun 19, 2024

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The following data are available relating to the performance of Scooner Stock Fund and the market portfolio:  Scooner  Market  Portfolio  Average return 19%12% Standard deviations of returns 35%15% Beta 1.51.0 Residual standard deviation 3.0%0.0%\begin{array}{lcc} & \text { Scooner } & \text { Market } \\&&\text { Portfolio }\\\text { Average return } & 19 \% & 12\% \\\text { Standard deviations of returns } & 35\% & 15\% \\\text { Beta } & 1.5 & 1.0 \\\text { Residual standard deviation } & 3.0 \% & 0.0 \%\end{array} Average return  Standard deviations of returns  Beta  Residual standard deviation  Scooner 19%35%1.53.0% Market  Portfolio 12%15%1.00.0%

The risk-free return during the sample period was 6%.
What is the Treynor measure of performance evaluation for Scooner Stock Fund?

A) 1.33%
B) 4.00%
C) 8.67%
D) 31.43%
E) 37.14%

Treynor Measure

A performance metric for determining how well an investment portfolio or fund has performed on a risk-adjusted basis, using beta as the risk measure.

Residual Standard Deviation

A measure of the amount of variability or dispersion of a set of data points around a regression line not explained by the regression itself.

Beta

A measure of a stock's volatility in relation to the overall market; a beta greater than 1 indicates higher volatility than the market, while a beta less than 1 indicates lower volatility.

  • Attain insight into the application of Sharpe, Treynor, Jensen, and information ratio measures in investment performance evaluation.
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Peter GardnerJun 26, 2024
Final Answer :
C
Explanation :
The Treynor measure is calculated as (Average return of the portfolio - Risk-free rate) / Beta. For Scooner Stock Fund, it is (19% - 6%) / 1.5 = 13% / 1.5 = 8.67%.