Question 1

On a graph with common stock returns on the Y-axis and market returns on the X-axis,the slope of the regression line represents:

Accepted Answer

The slope of the regression line represents beta, which is a measure of a stock's sensitivity to changes in the overall market. It indicates how much a stock's returns move in relation to the market returns. Alpha represents the excess returns above or below the market returns, R-squared represents the percentage of the variation in the stock returns that can be explained by the market returns, and standard error represents the variation of the data points from the regression line.

Question 2

Generally,for CAPM calculations,the value to use for the risk-free interest rate is the:

Accepted Answer

The risk-free interest rate is typically defined as the rate of return on an investment with no risk of default, such as a U.S. Treasury bond. The short-term U.S. Treasury bill rate is generally considered the best choice for CAPM calculations because it reflects the current market rate of return on a risk-free investment, and it is widely available and easily accessible. Long-term corporate bond rates and medium-term corporate bond rates may include additional risk factors that are not relevant for determining the risk-free rate, while the medium-term average rate on common stocks is not a risk-free investment and should not be used as a benchmark.

Question 3

The historical returns for the past four years for Stock C and the stock market portfolio are: Stock C: 10%,30%,20%,20%; Market portfolio: 5%,15%,25%,15%.If the risk-free rate of return is 5%,calculate the required rate of return on Stock C using the CAPM.

Accepted Answer

The answer of The historical returns for the past four...

Question 4

A project has an expected risky cash flow of $200 in year 1.The risk-free rate is 6%,the expected market rate of return is 16%,and the project's beta is 1.50.Calculate the certainty equivalent cash flow for year 1,CEQ₁.

Accepted Answer

To calculate the certainty equivalent cash flow, we need to use the formula:

CEQ = RF + β*(ERM - RF) * Risk premium

RF = Risk-free rate = 6%
β = Beta = 1.50
ERM = Expected market return = 16%
Risk premium = ERM - RF = 16% - 6% = 10%

Substituting the values, we get:

CEQ = 6% + 1.50*(16% - 6%) * 10% = $175.21

Therefore, the certainty equivalent cash flow for year 1 is $175.21.

Hence, the best choice is (A).

Question 5

A project has an expected risky cash flow of $500 in year 2.The risk-free rate is 4%,the expected market rate of return is 14%,and the project's beta is 1.20.Calculate the certainty equivalent cash flow for year 2,CEQ₂.

Accepted Answer

The certainty equivalent cash flow is calculated by adjusting the risky cash flow for risk using the project's beta and the market risk premium. The formula is CEQ = CF / (1 + (market rate - risk-free rate) * beta). Here, CEQ = $500 / (1 + (0.14 - 0.04) * 1.20) = $401.90.

Question 6

An analyst computes the beta of the computer company WinDoze as 1.7 and the standard error of the estimate as 0.3.What is the 95% confidence interval for the calculated beta?

Accepted Answer

The 95% confidence interval is calculated as the beta plus or minus 1.96 times the standard error: 1.7 ± (1.96 * 0.3) = 1.7 ± 0.588, which gives the interval 1.112 to 2.288, rounded to 1.1 to 2.3.

Question 7

A project has an expected cash flow of $300 in year 3.The risk-free rate is 5%,the market risk premium is 8%,and the project's beta is 1.25.Calculate the certainty equivalent cash flow for year 3,CEQ₃.

Accepted Answer

The certainty equivalent cash flow can be calculated as the risk-free rate plus the product of the market risk premium and beta, multiplied by the expected cash flow. Thus, CE = 5% + (8% x 1.25) x $300 = $228.35. Therefore, choice A is the correct answer.

Question 8

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.If the risk-free rate is 4%,calculate the expected market risk premium.

Accepted Answer

The expected market risk premium is calculated as the average return of the market portfolio minus the risk-free rate. The average return of the market portfolio is (10% + 12% + 20%) / 3 = 14%. The risk-free rate is 4%, so the expected market risk premium is 14% - 4% = 10%.

Question 9

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the required rate of return (cost of equity)for Stock B using the CAPM.(The risk-free rate of return = 4%.)

Accepted Answer

The answer of The historical returns for the past three...

Question 10

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the observed variance of the market portfolio returns.

Accepted Answer

The variance is calculated by finding the average of the squared deviations from the mean. The mean of the market portfolio returns is (10% + 12% + 20%) / 3 = 14%. The squared deviations are (10% - 14%)^2, (12% - 14%)^2, and (20% - 14%)^2, which are 16, 4, and 36 respectively. The average of these squared deviations is (16 + 4 + 36) / 3 = 56 / 3 = 18.7.

Question 11

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the average return for Stock B and the market portfolio.

Accepted Answer

The average return for Stock B is (24% + 0% + 24%) / 3 = 16%. The average return for the market portfolio is (10% + 12% + 20%) / 3 = 14%.

Question 12

Company A's historical returns for the past three years were: 6%,15%,and 15%.Similarly,the market portfolio's returns were: 10%,10%,and 16%.According to the security market line (SML),Stock A was:A.However,one needs to know the risk-free rate to construct the SML.

Accepted Answer

The question mentions that we need to know the risk-free rate to construct the SML. Without knowing the risk-free rate or the beta for Company A, we cannot accurately determine whether it is overpriced, underpriced or correctly priced. Therefore, we need more information.

Question 13

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the observed covariance of returns between Stock B and the market portfolio.

Accepted Answer

The covariance is calculated as the average of the products of the deviations of each pair of returns from their respective means. The mean return for Stock B is 16% and for the market portfolio is 14%. The deviations for Stock B are 8%, -16%, 8% and for the market are -4%, -2%, 6%. The products of these deviations are -32, 32, and 48. The average of these products is 16, which is then multiplied by the number of observations (3) to get the covariance: 24.

Question 14

Which of the following informational updates would prompt a financial manager to use a higher cost of capital to analyze a project?

Accepted Answer

A higher percentage of fixed costs increases the business risk of a project. This increased risk necessitates a higher cost of capital to account for the higher risk of not covering those fixed costs, especially in scenarios of fluctuating sales or economic downturns.

Question 15

Company A's historical returns for the past three years are: 6.0%,15%,and 15%.Similarly,the market portfolio's returns were: 10%,10%,and 16%.Suppose the risk-free rate of return is 4%.What is the cost of equity capital (required rate of return of company A's common stock),computed with the CAPM?

Accepted Answer

The answer of Company A's historical returns for the past...

Question 16

A project has an expected risky cash flow of $500 in year 3.The risk-free rate is 4%,the expected market rate of return is 14%,and the project's beta is 1.20.Calculate the certainty equivalent cash flow for year 3,CEQ₃.

Accepted Answer

The certainty equivalent cash flow is calculated using the formula: CEQ = Expected Cash Flow / (1 + Risk Premium). The risk premium is calculated as Beta * (Market Rate - Risk-Free Rate). Here, Risk Premium = 1.20 * (14% - 4%) = 12%. Therefore, CEQ = $500 / (1 + 0.12) = $500 / 1.12 = $446.43. However, this is incorrect as the correct calculation should consider the risk-free rate for discounting the certainty equivalent cash flow: CEQ = $500 / (1 + 0.04)^3 = $500 / 1.124864 = $360.33.

Question 17

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the beta for Stock B.

Accepted Answer

Beta measures the volatility of a stock relative to the market. The formula for beta is:Beta = (Covariance of stock returns and market returns) / (Variance of market returns)In this case, the covariance of stock returns and market returns is:(24% - 10%) * (10% - 12%) + (0% - 12%) * (12% - 20%) + (24% - 20%) * (20% - 12%) = 12%The variance of market returns is:(10% - 12%)^2 + (12% - 20%)^2 + (20% - 12%)^2 = 56%Therefore, the beta for Stock B is:Beta = 12% / 56% = 0.86

Question 18

The historical returns for the past four years for Stock C and the stock market portfolio are: Stock C: 10%,30%,20%,20%; Market portfolio: 5%,15%,25%,15%.Calculate the beta of Stock C:

Accepted Answer

The answer of The historical returns for the past four...

Question 19

The market portfolio's historical returns for the past three years were 10%,10%,and 16%.Suppose the risk-free rate of return is 4%.Estimate the market risk premium?

Accepted Answer

The market risk premium is calculated as the average market return minus the risk-free rate. The average market return over the past three years is (10% + 10% + 16%) / 3 = 12%. Therefore, the market risk premium is 12% - 4% = 8%.

Question 20

Financial slang referring to the reduction of cash flows from a project's forecasted value to its certainty equivalent is a(n):

Accepted Answer

The term "haircut for risk" refers to the reduction in cash flows from a project's forecasted value to its certainty equivalent. This reduction is made to account for the risk associated with the project, and is sometimes referred to as a "risk premium" or "risk discount". The other options are not relevant to this concept.

Quiz 9: Risk and the Cost of Capital

On a graph with common stock returns on the Y-axis and market returns on the X-axis,the slope of the regression line represents:

Generally,for CAPM calculations,the value to use for the risk-free interest rate is the:

The historical returns for the past four years for Stock C and the stock market portfolio are: Stock C: 10%,30%,20%,20%; Market portfolio: 5%,15%,25%,15%.If the risk-free rate of return is 5%,calculate the required rate of return on Stock C using the CAPM.

A project has an expected risky cash flow of $200 in year 1.The risk-free rate is 6%,the expected market rate of return is 16%,and the project's beta is 1.50.Calculate the certainty equivalent cash flow for year 1,CEQ₁.

A project has an expected risky cash flow of $500 in year 2.The risk-free rate is 4%,the expected market rate of return is 14%,and the project's beta is 1.20.Calculate the certainty equivalent cash flow for year 2,CEQ₂.

An analyst computes the beta of the computer company WinDoze as 1.7 and the standard error of the estimate as 0.3.What is the 95% confidence interval for the calculated beta?

A project has an expected cash flow of $300 in year 3.The risk-free rate is 5%,the market risk premium is 8%,and the project's beta is 1.25.Calculate the certainty equivalent cash flow for year 3,CEQ₃.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.If the risk-free rate is 4%,calculate the expected market risk premium.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the required rate of return (cost of equity) for Stock B using the CAPM.(The risk-free rate of return = 4%.)

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the observed variance of the market portfolio returns.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the average return for Stock B and the market portfolio.

Company A's historical returns for the past three years were: 6%,15%,and 15%.Similarly,the market portfolio's returns were: 10%,10%,and 16%.According to the security market line (SML) ,Stock A was:A.However,one needs to know the risk-free rate to construct the SML.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the observed covariance of returns between Stock B and the market portfolio.

Which of the following informational updates would prompt a financial manager to use a higher cost of capital to analyze a project?

Company A's historical returns for the past three years are: 6.0%,15%,and 15%.Similarly,the market portfolio's returns were: 10%,10%,and 16%.Suppose the risk-free rate of return is 4%.What is the cost of equity capital (required rate of return of company A's common stock) ,computed with the CAPM?

A project has an expected risky cash flow of $500 in year 3.The risk-free rate is 4%,the expected market rate of return is 14%,and the project's beta is 1.20.Calculate the certainty equivalent cash flow for year 3,CEQ₃.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the beta for Stock B.

The historical returns for the past four years for Stock C and the stock market portfolio are: Stock C: 10%,30%,20%,20%; Market portfolio: 5%,15%,25%,15%.Calculate the beta of Stock C:

The market portfolio's historical returns for the past three years were 10%,10%,and 16%.Suppose the risk-free rate of return is 4%.Estimate the market risk premium?

Financial slang referring to the reduction of cash flows from a project's forecasted value to its certainty equivalent is a(n) :

Quiz 9: Risk and the Cost of Capital

On a graph with common stock returns on the Y-axis and market returns on the X-axis,the slope of the regression line represents:

Generally,for CAPM calculations,the value to use for the risk-free interest rate is the:

The historical returns for the past four years for Stock C and the stock market portfolio are: Stock C: 10%,30%,20%,20%; Market portfolio: 5%,15%,25%,15%.If the risk-free rate of return is 5%,calculate the required rate of return on Stock C using the CAPM.

A project has an expected risky cash flow of $200 in year 1.The risk-free rate is 6%,the expected market rate of return is 16%,and the project's beta is 1.50.Calculate the certainty equivalent cash flow for year 1,CEQ1.

A project has an expected risky cash flow of $500 in year 2.The risk-free rate is 4%,the expected market rate of return is 14%,and the project's beta is 1.20.Calculate the certainty equivalent cash flow for year 2,CEQ2.

An analyst computes the beta of the computer company WinDoze as 1.7 and the standard error of the estimate as 0.3.What is the 95% confidence interval for the calculated beta?

A project has an expected cash flow of $300 in year 3.The risk-free rate is 5%,the market risk premium is 8%,and the project's beta is 1.25.Calculate the certainty equivalent cash flow for year 3,CEQ3.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.If the risk-free rate is 4%,calculate the expected market risk premium.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the required rate of return (cost of equity) for Stock B using the CAPM.(The risk-free rate of return = 4%.)

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the observed variance of the market portfolio returns.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the average return for Stock B and the market portfolio.

Company A's historical returns for the past three years were: 6%,15%,and 15%.Similarly,the market portfolio's returns were: 10%,10%,and 16%.According to the security market line (SML) ,Stock A was:A.However,one needs to know the risk-free rate to construct the SML.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the observed covariance of returns between Stock B and the market portfolio.

Which of the following informational updates would prompt a financial manager to use a higher cost of capital to analyze a project?

Company A's historical returns for the past three years are: 6.0%,15%,and 15%.Similarly,the market portfolio's returns were: 10%,10%,and 16%.Suppose the risk-free rate of return is 4%.What is the cost of equity capital (required rate of return of company A's common stock) ,computed with the CAPM?

A project has an expected risky cash flow of $500 in year 3.The risk-free rate is 4%,the expected market rate of return is 14%,and the project's beta is 1.20.Calculate the certainty equivalent cash flow for year 3,CEQ3.

The historical returns for the past three years for Stock B and the stock market portfolio are: Stock B: 24%,0%,24%; Market portfolio: 10%,12%,20%.Calculate the beta for Stock B.

The historical returns for the past four years for Stock C and the stock market portfolio are: Stock C: 10%,30%,20%,20%; Market portfolio: 5%,15%,25%,15%.Calculate the beta of Stock C:

The market portfolio's historical returns for the past three years were 10%,10%,and 16%.Suppose the risk-free rate of return is 4%.Estimate the market risk premium?

Financial slang referring to the reduction of cash flows from a project's forecasted value to its certainty equivalent is a(n) :

A project has an expected risky cash flow of $200 in year 1.The risk-free rate is 6%,the expected market rate of return is 16%,and the project's beta is 1.50.Calculate the certainty equivalent cash flow for year 1,CEQ₁.

A project has an expected risky cash flow of $500 in year 2.The risk-free rate is 4%,the expected market rate of return is 14%,and the project's beta is 1.20.Calculate the certainty equivalent cash flow for year 2,CEQ₂.

A project has an expected cash flow of $300 in year 3.The risk-free rate is 5%,the market risk premium is 8%,and the project's beta is 1.25.Calculate the certainty equivalent cash flow for year 3,CEQ₃.

A project has an expected risky cash flow of $500 in year 3.The risk-free rate is 4%,the expected market rate of return is 14%,and the project's beta is 1.20.Calculate the certainty equivalent cash flow for year 3,CEQ₃.