You Invest $100 in a Risky Asset with an Expected

question 27

Multiple Choice

You invest $100 in a risky asset with an expected rate of return of 0.11 and a standard deviation of 0.20 and a T-bill with a rate of return of 0.03. What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 0.08?

• A) 85% and 15%
• B) 75% and 25%
• C) 62.5% and 37.5%
• D) 57% and 43%
• E) Cannot be determined.

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Definitions:

Distribution

The way in which something is shared out among a group or spread over an area, or the arrangement of values of a variable showing their observed or theoretical frequency of occurrence.

Variance

A statistical measure of dispersion that shows how much values in a data set differ from the mean.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values from the mean, used to assess the spread of a data distribution.

Statistics

Calculated numbers that summarize data and relationships among variables in a sample.