Stocks A,B,and C All Have an Expected Return of 10

question 98

Multiple Choice

Stocks A,B,and C all have an expected return of 10% and a standard deviation of 25%.Stocks A and B have returns that are independent of one another,i.e. ,their correlation coefficient,r,equals zero.Stocks A and C have returns that are negatively correlated with one another,i.e. ,r is less than 0.Portfolio AB is a portfolio with half of its money invested in Stock A and half in Stock B.Portfolio AC is a portfolio with half of its money invested in Stock A and half invested in Stock C.Which of the following statements is CORRECT?

• A) Portfolio AC has an expected return that is less than 10%.
• B) Portfolio AC has an expected return that is greater than 25%.
• C) Portfolio AB has a standard deviation that is greater than 25%.
• D) Portfolio AB has a standard deviation that is equal to 25%.
• E) Portfolio AC has a standard deviation that is less than 25%.

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Definitions:

Security-market Line

A graphical representation of the relationship between expected return and beta (systematic risk) of an investment.

Capital-market Line

A line on a graph representing the rates of return for efficient portfolios that optimally balance risk and return, based on the risk-free rate and the market portfolio.

Capital-allocation Line

A line on a graph that represents the risk-and-return profiles of risky assets, showing the possible combinations of risk and return that are available.

Efficient Frontier

A concept in modern portfolio theory representing a set of optimal investment portfolios that offer the highest expected return for a defined level of risk or the lowest risk for a given level of expected return.