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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:

Year

Projected Cash Flow

1

$400

2

$300

3

$300

4

$100

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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