ALREADY CALCULATED A - D, PLEASE PROVIDE CORRECT ANSWERS TO E AND F, AND SHOW AL

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ALREADY CALCULATED A - D, PLEASE PROVIDE CORRECT ANSWERS TO E AND F, AND SHOW ALL WORK, YOU WILL RECEIVE THUMBS UP IF ALL OF THE STEPS AND ANSWERS ARE PROVIDED TO E AND F

Sam Strother and Shawna Tibbs are vice presidents of Mutual of Seattle Group Health Cooperative and codirectors of the organization's pension fund management division. The unions that represent the GHC hospital staff have requested an investment seminar so that they better understand the decisions being made on behalf of their members. Strother and Tibbs, who will make the actual presentation, have asked you to help them by answering the following questions.

a. What is the value of a ten-year, $1,000 par value bond with a 10 percent annual coupon if its required rate of return is 10 percent?

b. What would be the value of the bond described in question a. if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13 percent return? Would we now have a discount or a premium bond?

c. What would be the value of the bond described in question a. if, just after it had been issued, the expected inflation rate fell by 3 percentage points, causing investors to require a 7 percent return? Would we now have a discount or a premium bond?

d. What would happen to the value of the ten-year bond over time if the required rate of return remained at 13 percent, remained at 7 percent, or remained at 10 percent? Graph your results using the table below

Value of Bond in Given Year:

N

7%

10%

13%

0

1

2

3

4

5

6

7

8

9

10

e. What is the yield to maturity on a ten-year, 9 percent annual coupon, $1,000 par value bond that sells for $887.00?

f. What are the total return, the current yield, and the capital gains yield for the bond in question e.? (Assume the bond is held to maturity and the company does not default on the bond.)

Value of Bond in Given Year:

N

7%

10%

13%

0

1

2

3

4

5

6

7

8

9

10

Explanation / Answer

e)

Face value = $1,000

Coupon payment = 9 * 1,000 = 90

Maturity = 10

Price = $887

Yield to maturity using a financial calculator is 10.91%

Keys to use in a financial calculator: FV = 1000, PV = -887, N = 10, PMT = 90, CPT I/Y

f)

Total return will be YTM i.e, 10.91%

Current yield = 90 / 887 = 0.1015 or 10.15%

Capital gains yield = 10.91% - 10.15% = 0.76%

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