Asked by Margarett Stuart on May 17, 2024

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A risk-free asset is available at 5% interest.Another asset is available with a mean rate of return of 15% but with a standard deviation of 5%.An investor is considering an investment portfolio consisting of some of each stock.On a graph with standard deviation on the horizontal axis and mean on the vertical axis, the budget line that expresses the alternative combinations of mean return and standard deviation possible with portfolios of these assets is a straight line with

A) slope 2.
B) slope 3.
C) increasing slope as you move left.
D) slope 1.
E) slope 1/3.

Risk-Free Asset

An investment with a guaranteed return and no chance of default, often used as a benchmark for the risk level of other investments.

Standard Deviation

A statistical measure that quantifies the amount of variability or dispersion of a set of data points or distribution from the mean.

Mean Rate

The average value of a set of rates, which could be interest rates, growth rates, or any other type of change measured over time.

  • Apply the concept of budget lines to understand the trade-offs between expected return and risk in portfolio choices.
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ML
Michael LernerMay 20, 2024
Final Answer :
A
Explanation :
The slope of the budget line on a graph with standard deviation on the horizontal axis and mean return on the vertical axis, when combining a risk-free asset and a risky asset, is determined by the risk premium (the difference between the mean return of the risky asset and the risk-free rate) divided by the standard deviation of the risky asset. In this case, the risk premium is 15% - 5% = 10%, and the standard deviation of the risky asset is 5%. Therefore, the slope is 10%/5% = 2.