2. Boehm Incorporated is expected to pay a $1.50 per share dividend at the end of this year (i.e., D1 = $1.50). The dividend is expected to grow at a constant rate of 6% a year. The required rate of return on the stock, rȿ is 13%. What is the estimated value per share of Boehm’s stock?
4. Nick’s Enchiladas Incorporated has preferred stock outstanding that pays a dividend of $5 at the end of each year. The preferred sells for $50 a share. What is the stock’s required rate of return (assume the market is in equilibrium with the required return equal to the expected return)?
5. A company currently pays a dividend of $2 per share (Dₒ = $2). It is estimated that the company’s dividend will grow at a rate of 20% per year for the next 2 years, and then at a constant rate of 7% thereafter. The company’s stock has a beta of 1.2, the risk-free rate is 7.5%, and the market risk premium is 4%. What is your estimate of the stock’s current price?
15. You buy a share of The Ludwig Corporation stock for $21.40. You expect it to pay dividends of $1.07, $1.1449, and $1.2250 in Years 1, 2, and 3, respectively, and you expect to sell it at a price of $26.22 at the end of 3 years.
a. Calculate the growth rate in dividends.
b. Calculate the expected dividend yield.
c. Assuming that the calculated growth rate is expected to continue, you can add the dividend
yield to the expected growth rate to obtain the expected total rate of return.
What is the stock’s expected total rate of return (assume the market is in equilibrium with the
required return equal to the expected return)?
16. Investors require a 13% rate of return on Brooks Sister’s stock. (rs = 13%)
a. What would the estimated value of Brook’s stock be if the previous dividend were Dₒ = $3.00
and if investors expect dividends to grow at a constant annual rate of (1) – 5%, (2) 0%, (3) 5%,
(4) 10%?
b. Using data from part a, what is the constant growth model’s estimated value for Brooks Sister’s stock if the required rate of return is 13% and the expect growth rate is (1) 13% or (2) 15%? Are these reasonable results? Explain.
c. Is it reasonable to expect that a constant growth stock would have g > rs?
1. Suppose a U.S. treasury bond will pay $2,500 five years from now. If the going interest rate on 5-year treasury bonds is 4.25%, how much is the bond worth today?
2. Five years ago, Greenery Inc. earned $1.50 per share. Its earnings this year were $3.20. What was the growth rate in earnings per share (EPS) over the 5-year period?
3. You plan to invest in securities that pay 8.0%, compounded annually. If you invest $5,000 today, how many years will it take your investment to grow to $9,140.20?
4. You want to go to Europe 5 years from now, and you can save $3,100 per year, beginning one year from today. You plan to deposit the funds in a mutual fund that you think will return 8.5% per year. Under these conditions, how much would you have just after you make the 5th deposit, 5 years from now?
5. You inherited an oil well that will pay you $25,000 per year for 25 years, with the first payment being made today. If you think a fair return on the well is 7.5%, how much should you ask for it if you decide to sell it?
6. Suppose you just won the state lottery, and you have a choice between receiving $2,550,000 today or a 20-year annuity of $250,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes.
7. You sold a car and accepted a note with the following cash flow stream as your payment. What was the effective price you received for the car assuming an interest rate of 6.0%?
Years: 0 1 2 3 4
| | | | |
CFs: $0 $1,000 $2,000 $2,000 $2,000
8. You are offered a chance to buy an asset for $7,250 that is expected to produce cash flows of $750 at the end of Year 1, $1,000 at the end of Year 2, $850 at the end of Year 3, and $6,250 at the end of Year 4. What rate of return would you earn if you bought this asset?
9. Master Card and other credit card issuers must by law print the Annual Percentage Rate (APR) on their monthly statements. If the APR is stated to be 18.00%, with interest paid monthly, what is the card’s EFF%?
10. Suppose you deposited $5,000 in a bank account that pays 5.25% with daily compounding based on a 360-day year. How much would be in the account after 8 months, assuming each month has 30 days?
11. Suppose you are buying your first condo for $145,000, and you will make a $15,000 down payment. You have arranged to finance the remainder with a 30-year, monthly payment, amortized mortgage at a 6.5% nominal interest rate, with the first payment due in one month. What will your monthly payments be?
12. You are considering investing in a bank account that pays a nominal annual rate of 7%, compounded monthly. If you invest $3,000 at the end of each month, how many months will it take for your account to grow to $150,000?
13. Your child’s orthodontist offers you two alternative payment plans. The first plan requires a $4,000 immediate up-front payment. The second plan requires you to make monthly payments of $137.41, payable at the end of each month for 3 years. What nominal annual interest rate is built into the monthly payment plan?
14. Your sister turned 35 today, and she is planning to save $7,000 per year for retirement, with the first deposit to be made one year from today. She will invest in a mutual fund that’s expected to provide a return of 7.5% per year. She plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. Under these assumptions, how much can she spend each year after she retires? Her first withdrawal will be made at the end of her first retirement year.
15. After graduation, you plan to work for Dynamo Corporation for 12 years and then start your own business. You expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). The first deposit will be made a year from today. In addition, your grandfather just gave you a $25,000 graduation gift which you will deposit immediately (t = 0). If the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?
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