Midterm Prep Flashcards
Alpha Industries stock sold for $39 a share at the beginning of the year. During the year, the company paid a dividend of $3 a share and then ended the year with a stock price of $37. The change in the stock price is best described as a:
capital loss.
The excess return is computed by ________ the average return for the investment.
subtracting the average return on the U.S. Treasury bill from
One year ago, you purchased a stock at a price of $32.50. The stock pays quarterly dividends of $.40 per share. Today, the stock is worth $34.60 per share. What is the total dollar return per share to date from this investment?
$3.70
You would have received 4 quarterly dividends since you bought the stock 1 year ago, so $0.40 x 4 = $1.60 per share. Plus the stock has appreciated from $32.50 to $34.60, or $2.10 per share. This is the capital gain. The total return is $1.60 + $2.10 = $3.70.
You bought 360 shares of stock at a total cost of $7,754.40. You received a total of $403.20 in dividends and sold your shares for $19.98 a share. What was your total rate of return?
-2.04 percent
You can calculate the percentage rate of return on a per share basis or in total. Either would give you the same result. In this case, we are given the total amounts for the purchase and the dividends, so it may be easier to calculate the total amount for the sale price (360 shares x $19.98 = $7,192.80). So the total return is the dividends ($403.20) plus the capital gain or loss ($7,192.80 - $7,754.40 = -$561.60). So total return is $403.20 - $561.60 = -$158.40. To get the rate of return we divide this by the initial investment of $7,754.40 = -0.02042711 or -2.04%.
Assume that over the last several decades, the total annual returns on large-company common stocks averaged 12.1 percent, small-company stocks averaged 16.5 percent, long-term government bonds averaged 6 percent, and U.S. T-bills averaged 3.4 percent. What was the average excess return earned by long-term government bonds, and small-company stocks respectively?
2.6 percent; 13.1 percent
GLTB - Tbill
Sc - Tbill
Which one of the following statements is correct concerning the standard deviation of a portfolio?
A) The greater the diversification of a portfolio, the greater the standard deviation of that portfolio.
B) The standard deviation of a portfolio can often be lowered by changing the weights of the securities in the portfolio.
C. Standard deviation is used to determine the amount of risk premium that should apply to a portfolio.
D) The standard deviation of a portfolio is equal to the geometric average standard deviation of the individual securities held within that portfolio.
E) The standard deviation of a portfolio is equal to a weighted average of the standard deviations of the individual securities held within the portfolio.
B) The standard deviation of a portfolio can often be lowered by changing the weights of the securities in the portfolio.
As we add more diverse securities to a portfolio, the ________ risks of the portfolio will decrease.
total and unsystematic
According to the CAPM, the expected return on a security is:
A) negatively and non-linearly related to the security’s beta.
B) negatively and linearly related to the security’s beta.
C) positively and linearly related to the security’s variance.
D) positively and non-linearly related to the security’s beta.
E) positively and linearly related to the security’s beta.
E) positively and linearly related to the security’s beta.
You recently purchased a stock that is expected to earn 11.3 percent in a booming economy, 8.8 percent in a normal economy, and lose 3.1 percent in a recessionary economy. Each economic state is equally likely to occur. What is your expected rate of return on this stock?
5.67
To calculate the expected return we simply weight the possible outcomes by their probability. In this case, each outcome is equally likely, so we can calculate a simple average of 11.3, 8.8 and -3.1. We sum them and divide by the number of terms (3) to calculate the average. (11.3+8.8-3.1)/(3) = 5.666667 or 5.67%. You could also do a weighted average weighting each outcome by 1/3 (each has a 1 in 3 chance of occurring) and you would get exactly the same result.
The risk-free rate of return is 3.68 percent and the market risk premium is 7.84 percent. What is the expected rate of return on a stock with a beta of 1.32?
14.03 percent
This question is an application of the CAPM (Capital Asset Pricing Model). That is the model to use to find the expected rate of return (or cost of equity) on a stock. CAPM = Rf + b(Rm-Rf) where (Rm-Rf) is the market risk premium. In this case, the cost of equity = 3.68 + 1.32(7.84) = 14.0288 or 14.03%.
The stock of Martin Industries has a beta of 1.43. The risk-free rate of return is 3.6 percent and the market risk premium is 9 percent. What is the expected rate of return?
16.47 percent
The expected rate of return can be calculated using the CAPM (Capital Asset Pricing Model). CAPM = Rf + b(Rm-Rf) where (Rm-Rf) is the market risk premium. In this case, CAPM = 3.6 + 1.43 (9) = 16.47 percent.
Which one of these statements is correct concerning the CAPM?
A) The CAPM is the only available method for determining an appropriate discount rate for a proposed project.
B) The market rate of return is most commonly based on the forecasted return on the market for the next 5-year period.
C) CAPM is used quite frequently by firms in their capital budgeting process.
D) The expected return on the 30-year U.S. Treasury bond is the most commonly used as the risk-free rate of return.
E) An increase in the risk-free rate combined with a beta greater than 1.0 increases the discount rate computed using the CAPM.
C) CAPM is used quite frequently by firms in their capital budgeting process.
Lewis Bros. currently has outstanding debt but has decided to issue additional debt for expansion purposes. The pretax cost of the new debt is best estimated at the ________ of the currently outstanding debt.
current yield to maturity
Southern Imports is an all-equity firm with a beta of 1.32. The firm is considering a new project that entails less risk than its current operations and thus management feels that the firm’s beta should be lowered by .18 when assigning a discount rate to this project. The market rate of return is 9.4 percent and the risk-free rate is 2.8 percent. What discount rate should be assigned to this project?
10.32 percent
If management has an estimate of the correct beta aligned with the risk of new, less risky project, it should be used in CAPM to estimate the appropriate cost of equity. Since the firm is all equity financed, that would also be the correct discount rate or WACC to evaluate the project. In this case, CAPM = 2.8 + (1.32-0.18)(9.4-2.8) = 10.324 or 10.32%.
Acme Inc has debt outstanding with a coupon rate of 2 percent and a yield to maturity of 4.2 percent. What is the after-tax cost of debt if the tax rate is 21 percent? Assume all interest is tax deductible.
3.32
Remember that the coupon rate is only used to determine the coupon or interest payments on the debt. It is not the firm’s cost of debt nor is it the effective return holders of the bond will receive. Those are both the yield-to-maturity on the bond. In this case, the YTM is 4.2%. This is the pre-tax cost of debt. To find the after-tax cost (which means to include the benefit of the tax-deductibility of the interest payments) we must multiply the 4.2% by (1-Tax rate). In this case, 4.2 x (1-0.21) = 3.318 or rounded it is 3.32%. This answer makes sense as we would expect the answer to be something slightly less than the pre-tax cost of debt.
Consolidated Construction has a beta of 1.3. The risk-free rate of return is 3.2 percent and the expected market return is 12.4 percent. What is Consolidated’s cost of equity?
15.16
Peter’s Audio has a yield to maturity on its debt of 6.4 percent, a cost of equity of 11.4 percent, and a cost of preferred stock of 9 percent. The firm has 115 shares of common stock outstanding at a market price of $24 a share. There are 15 shares of preferred stock outstanding at a market price of $40 a share. The bond issue has a total face value of $1,500 and sells at 97 percent of face value. If the tax rate is 25 percent and assuming all interest is tax deductible.
What is the pre-tax cost of debt?
6.4
The YTM on the debt is same thing as the pre-tax cost of debt. It is given in the problem statement as 6.4%. That is the answer.
Peter’s Audio has a yield to maturity on its debt of 6.4 percent, a cost of equity of 11.4 percent, and a cost of preferred stock of 9 percent. The firm has 115 shares of common stock outstanding at a market price of $24 a share. There are 15 shares of preferred stock outstanding at a market price of $40 a share. The bond issue has a total face value of $1,500 and sells at 97 percent of face value. If the tax rate is 25 percent and assuming all interest is tax deductible.
What is the weighting for debt?
30.22
To find the weighting for the debt, we need to know the MARKET value of the debt divided by the total capital (debt + preferred stock + common stock). In this case, the debt has a face value of $1,500, but is selling for 97% of its face value, so the market value is 0.97 X $1,500 = $1,455. This is the numerator. The denominator is the value of all three combined. So bond value is $1,455. Preferred stock value is $15 x 40 = $600. The value of the common stock is $115 x 24 = $2,760. So the calculation is $1,455 / ($1,455+$600+$2,760) = 0.302180609 or 30.2180609%. Rounded to two decimals, the answer is 30.22%.
Peter’s Audio has a yield to maturity on its debt of 6.4 percent, a cost of equity of 11.4 percent, and a cost of preferred stock of 9 percent. The firm has 115 shares of common stock outstanding at a market price of $24 a share. There are 15 shares of preferred stock outstanding at a market price of $40 a share. The bond issue has a total face value of $1,500 and sells at 97 percent of face value. If the tax rate is 25 percent and assuming all interest is tax deductible.
What is the after-tax cost of debt?
4.8
The after-tax cost of debt is the pre-tax cost of debt multiplied by 1-tax rate. The pre-tax cost of debt is the YTM on the outstanding debt and was given in the question as 6.4%. Since the tax rate is 25%, the after-tax cost of debt would be 6.4 x (1-0.25) = 4.80%.
Peter’s Audio has a yield to maturity on its debt of 6.4 percent, a cost of equity of 11.4 percent, and a cost of preferred stock of 9 percent. The firm has 115 shares of common stock outstanding at a market price of $24 a share. There are 15 shares of preferred stock outstanding at a market price of $40 a share. The bond issue has a total face value of $1,500 and sells at 97 percent of face value. If the tax rate is 25 percent and assuming all interest is tax deductible.
What is the cost of the preferred stock?
9
The cost of the preferred stock is usually calculated based on the dividend the preferred stock generates. In this case it is given as 9%. That is the correct answer.
Peter’s Audio has a yield to maturity on its debt of 6.4 percent, a cost of equity of 11.4 percent, and a cost of preferred stock of 9 percent. The firm has 115 shares of common stock outstanding at a market price of $24 a share. There are 15 shares of preferred stock outstanding at a market price of $40 a share. The bond issue has a total face value of $1,500 and sells at 97 percent of face value. If the tax rate is 25 percent and assuming all interest is tax deductible.
What is the weighting for the preferred stock?
12.46
To find the weighting for the preferred stock, we need to know the MARKET value of the preferred stock divided by the total capital (debt + preferred stock + common stock). In this case, the preferred stock has a market value of $15 per share and there are 40 shares outstanding. So 40 X $15 = $600. This is the numerator. The denominator is the value of all three combined. So the bond value is $1,455 (calculated previously as the market value = face value x 0.97). Preferred stock value is $15 x 40 = $600. The value of the common stock is $115 x 24 = $2,760. So the calculation is $600 / ($1,455+$600+$2,760) = 0.12461059 or 12.46% rounded.
Peter’s Audio has a yield to maturity on its debt of 6.4 percent, a cost of equity of 11.4 percent, and a cost of preferred stock of 9 percent. The firm has 115 shares of common stock outstanding at a market price of $24 a share. There are 15 shares of preferred stock outstanding at a market price of $40 a share. The bond issue has a total face value of $1,500 and sells at 97 percent of face value. If the tax rate is 25 percent and assuming all interest is tax deductible.
What is the cost of the common stock?
11.4
The cost of the common stock is usually derived using the CAPM model. In this case it is given as 11.4%. That is the correct answer.