Question
5. What is the present value of a perpetuity of $2,900 per year at a discount rate of 11% per year? a) $31,900 b) $26,364
5. | What is the present value of a perpetuity of $2,900 per year at a discount rate of 11% per year?
| |
| a) | $31,900 |
| b) | $26,364 |
| c) | $29,264 |
| d) | $23,751 |
| e) | The present value of this perpetuity is infinitely large. |
6. | Wyoming Mining Group stock does not now pay dividends. Investors expect that it will begin paying a dividend of $0.50/share in exactly 5 years at time 5. That is, they forecast that D5 will be $0.50/share. Investors expect that the dividend will then remain at that level of $0.50/share forever after that. They require a return of 11.00% on this stock. What is the value of this stock today based on the discounted dividend model?
| |
| a) | $3.32 |
| b) | $2.99 |
| c) | $2.70 |
| d) | $4.10 |
| e) | $4.55 |
7. | What is the EAR of 18% compounded semi-annually?
| |
| a) | 18.810% |
| b) | 19.562% |
| c) | 18.000% |
| d) | 19.722% |
| e) | 19.252% |
8. | Desert Camping Equipment just paid a dividend, D0, of $0.90/share on its common stock. Investors expect that its dividend will grow at a constant rate of 4% per year, and they require a return of 15% on this stock. What is the value of this stock based on the discounted dividend model?
| |
| a) | $0.87 |
| b) | $6.00 |
| c) | $8.18 |
| d) | $6.24 |
| e) | $8.51 |
9. | The future value of regular annuity of $5,000 per year for 20 years is $165,329.77. What interest rate is implied?
| |
| a) | 4.44% |
| b) | 5.00% |
| c) | 8.40% |
| d) | 3.75% |
| e) | 7.20% |
10. | A zero coupon bond will mature in 10 years and pay its face value of $1,000. Its current market value is $740. What is its implicit yield to maturity based on semi-annual compounding?
| |
| a) | 2.60% |
| b) | 35.14% |
| c) | 26.00% |
| d) | 3.057% |
| e) | 1.52% |
11. | Find the present value of $3,800 to be received 5 years from today. The discount rate is 8%.
| |
| a) | $5,583.45 |
| b) | $2,844.84 |
| c) | $2,586.22 |
| d) | $3,491.39 |
| e) | $3,800.00 |
12. | United Metal Fabrication stock currently sells in the market for $50.00/share. It just paid a dividend of $6.00/share. Investors expect that the dividend will decline at a constant rate of 4% per year in the future. That is, the expected growth rate g is -4%. What rate of return do investors require on this stock?
| |
| a) | 16.48% |
| b) | 8.00% |
| c) | 8.48% |
| d) | 15.52% |
| e) | 7.52% |
13. | A year ago, an investor purchased 100 shares of Desert Camping Equipment preferred stock at a price of $38.00/share. The firm has just paid its annual dividend of $3.00. Now the share is priced at $31.16 in the market. What is the dividend yield of the stock based on its current price?
| |
| a) | 8.37% |
| b) | 9.63% |
| c) | 27.63% |
| d) | 18.00% |
| e) | 7.89% |
14. | Today an investor will pay $3,000 for a security that will return $12,875.61 in exactly 25 years. What annual rate of return will he receive on this investment?
| |
| a) | 4.80% |
| b) | 6.00% |
| c) | 329.19% |
| d) | 76.70% |
| e) | 6.90% |
15. | One year ago you purchased a zero coupon bond and paid $525 for it. It now has 5 years remaining to maturity, and its yield to maturity is 8%. Its face value is $1,000. Find the change in dollar value of the bond in this period. Use semi-annual compounding.
| |
| a) | $944.33 |
| b) | $602.79 |
| c) | $680.58 |
| d) | $155.58 |
| e) | $150.56 |
16. | You are offered an investment that will pay you an annual perpetuity. The amount you must pay now to purchase the investment is $283,000. You expect to receive a return of 8% on the investment. What annual payment will you receive on this investment?
| |
| a) | $24,451.20 |
| b) | $20,962.96 |
| c) | $27,168.00 |
| d) | $18,112.00 |
| e) | $22,640.00 |
17. | Amy's Home Crafts Corporation's bonds have a face value of $1,000 and a 10% coupon paid semiannually; the bonds mature in 5 years. What current yield would be reported in The Wall Street Journal if the yield to maturity is 9%?
| |
| a) | 4.8097% |
| b) | 9.6194% |
| c) | 1.1687% |
| d) | 0.9619% |
| e) | 1.4620% |
18. | Find the present value of $2,500 to be received 15 years from today. The discount rate is 10% per year compounded monthly
| |
| a) | $598.48 |
| b) | $617.43 |
| c) | $757.76 |
| d) | $2,207.39 |
| e) | $561.30 |
19. | What is the future value of an annuity due of $1,000 per year for 10 years if the interest rate is 23% per year?
| |
| a) | $4,673 |
| b) | $30,113 |
| c) | $10,000 |
| d) | $37,039 |
| e) | $3,799 |
20. | You are evaluating a capital project, and have projected these cash flows:
You will discount the expected cash flows at a rate of 14%. What is the total present value of the project's cash flows?
| |||||||||||
| a) | $350.88 | ||||||||||
| b) | $230.84 | ||||||||||
| c) | $784.21 | ||||||||||
| d) | $843.42 | ||||||||||
| e) | $202.49 |
21. | You are considering an investment that will return $12,000 in exactly 14 years. The discount rate is 10% per year with continuous compounding/discounting. What is the present value of this investment?
| |
| a) | $2,690 |
| b) | $2,515 |
| c) | $48,662 |
| d) | $3,255 |
| e) | $2,959 |
22. | One year ago you purchased a zero coupon bond and paid $530 for it. It now has 5 years remaining to maturity, and its yield to maturity is 8%. Its face value is $1,000. Find the change in dollar value of the bond in this period. Use annual compounding.
| |
| a) | $680.58 |
| b) | $605.29 |
| c) | $150.58 |
| d) | $150.58 |
| e) | $939.33 |
23. | What is the future value of regular annuity of $9,000 per year for 5 years if the interest rate is 17% per year?
| |
| a) | $53,957 |
| b) | $33,689 |
| c) | $105,948 |
| d) | $63,130 |
| e) | $28,794 |
24. | United Metal Fabrication has some bonds outstanding, currently with 20 years remaining to maturity. The coupon rate is 6%, and the interest is paid monthly. The face value of the bonds is $1,000. How much interest must the firm pay on each outstanding bond each month?
| |
| a) | $60.00 |
| b) | $5.00 |
| c) | $20.00 |
| d) | $15.00 |
| e) | $30.00 |
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