What is the standard deviation of returns what are the


Assignment

Part 1 - Capital Market History

1. If you 100 shares of stock for $4439 and in a year, you sell the shares for $49.67 per share, what is your capital gain (dollar amount) and your capital gain percentage?

2. If you received dividends of $165 during the year, what was your dividend yield? What was your total return for the year?

Consider a series of returns for a 10 year period:

Year

Return

1

3.5%

2

13.3%

3

-2.7%

4

-23.5%

5

13.9%

6

24.3%

7

8.7%

8

2.1%

9

33.2%

10

-8.9%

3. What is the average rate of return?

4. What is the standard deviation of returns?

5. What is the holding period return for the 10 years? (Hint: If you started with $100, how much would you end up with after 10 years?)

6. What is the geometric average rate of return?

Consider a stock with the following information on a per share amount:

Year

Price

Dividend

Cap Gain

Div

0 (Initial Purchase)

33.95

n/a



1 (first year of holding stock)

34.25

1.01

0.88%

2.97%

2

33.06

1.04

-3.47%

3.04%

3

36.19

1.08

9.47%

3.27%

4

37.22

1.13

2.85%

3.12%

5

35.25

1.20

-5.29%

3.22%

6

39.97

1.28

13.39%

3.63%

7. What are the capital gains, dividend yields and total returns for each of the 6 years that you hold the stock?

8. What is the average rate of return?

9. What is the geometric average rate of return?

Part Two - WACC Calculations

Summerdahl's common stock is currently trading at $36 per share. The stock is expected to pay a dividend of $3.00 per share at the end of the year and the dividend is expected to grow at a constant rate of 5% per year. What is the cost of common equity?

BooBoo Bookstores has a beta of 0.8. The yield on a 3-month T-Bill is 1.1% and the market risk premium is 6.6%. What is the estimated cost of equity using CAPM?

A company's 6% coupon rate, semiannual payment, $1000 par value bond that matures in 20 years sells for $545. The company's marginal tax rate (state plus federal) is 35%. What is the firm's after-tax cost of debt for the purposes of calculating WACC.

An analyst has collected the following information regarding Christopher Co.:

• The company's capital structure is 50% common equity, 10% preferred equity and 40% debt.
• The yield to maturity on the company's bonds is 9 percent.
• The company's year-end dividend on common stock is forecasted to be $0.80 a share.
• The company expects that its dividend will grow at a constant rate of 9 percent a year.
• The company's stock price is $25.
• The company's preferred stock is priced at $20 and has a dividend of $2.20 per share.
• The company's tax rate is 40 percent.
• The company anticipates that it will need to raise new common stock and preferred stock this year. Its investment bankers anticipate that the total flotation cost will equal 5 percent of the amount issued. Assume the company accounts for flotation costs by adjusting the cost of capital. Given this information, calculate the company's WACC.

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