a.
To determine: The betas for the stocks
Introduction: Systematic risk is also known as volatility or non- diversifiable risk. It is the risk that is assumed by everyone before investing in a market. This kind of risk is unpredictable.
a.
Answer to Problem 9PS
The beta value for aggressive and defensive stock is 2.00 and 0.30 respectively
Explanation of Solution
Given Information: Market return, aggressive stock and the defensive stock is given
Beta measures an investment’s volatility as it correlates to market volatility. When beta value more than 1, it means the investment has more systematic risk than the market. If beta less than 1, it means less systematic risk. When beta equals to 0, the investment has same systematic risk as the market.
So, the beta value is 2.00 and 0.30 for aggressive and defensive stock respectively.
b.
To determine: The expected
Introduction: Systematic risk is also known as volatility or non- diversifiable risk. It is the risk that is assumed by everyone before investing in a market. This kind of risk is unpredictable.
b.
Answer to Problem 9PS
The expected rate of return for aggressive stock and for the defensive stock is 18% and 9% respectively.
Explanation of Solution
Given Information: Market return, aggressive stock and the defensive stock is given
The
Calculation of expected rate of return (Aggressive Stock),
By substituting the value of 2% and 38%,
The expected rate of return (aggressive stock) is 18%
Calculation of expected rate of return (Defensive Stock),
The expected rate of return (Defensive stock) is 9%
c.
To determine: The SML for the economy
Introduction: Systematic risk is also known as volatility or non- diversifiable risk. It is the risk that is assumed by everyone before investing in a market. This kind of risk is unpredictable.
c.
Answer to Problem 9PS
The SML for the economy is shown in the graph
Explanation of Solution
Given Information: Market return, aggressive stock and the defensive stock is given
The capital asset pricing model describes the expected return on beta based security. This model is used for determine the expected return on asset, which is based on systematic risk.
The expected rate of return of each stock,
Now substituting the value of Expected rate of return on market,
So, SML is,
The SML with the market return in the graph is,
d.
To determine: The alphas of each stock
Introduction: Systematic risk is also known as volatility or non- diversifiable risk. It is the risk that is assumed by everyone before investing in a market. This kind of risk is unpredictable.
d.
Answer to Problem 9PS
The alpha of defensive stock is 8.7% and for the aggressive stock is (-6%)
Explanation of Solution
Given Information: Market return, aggressive stock and the defensive stock is given
The capital asset pricing model describes the expected return on beta based security. This model is used for determine the expected return on asset, which is based on systematic risk.
The stocks on SML graph,
Calculation of alpha value for defensive stock,
Calculation of alpha value for aggressive stock,
So, the value of alpha is (-6%) for aggressive stock
e.
To determine: The hurdle rate used by the management for a project
Introduction: Systematic risk is also known as volatility or non- diversifiable risk. It is the risk that is assumed by everyone before investing in a market. This kind of risk is unpredictable.
e.
Answer to Problem 9PS
8.7% is the hurdle rate for the project
Explanation of Solution
Given Information: Market return, aggressive stock and the defensive stock is given
The capital asset pricing model describes the expected return on beta based security. This model is used for determine the expected return on asset, which is based on systematic risk.The hurdle rate can be calculated by the beta value of the project. The hurdle rate is the expected rate of return for the defensive stock.
Calculate the discount rate for the project,
By substituting the value of expected rate of market and beta value,
So, the hurdle rate is 8.7%
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