Question
Please show work, seeing the steps helps me learn! (1) Assume that you are interested in purchasing a bond that has a required rate of
Please show work, seeing the steps helps me learn!
(1) Assume that you are interested in purchasing a bond that has a required rate of return of 5% and a coupon rate of 12%. What price should you pay for this bond if it has 20 years remaining until maturity?
(2) Assume that you are interested in purchasing a bond that has a required rate of return of 10% and a coupon rate of 12%. What price should you pay for this bond if it has 20 years remaining until maturity?
(3) Assume that you are interested in purchasing a bond that has a required rate of return of 15% and a coupon rate of 12%. What price should you pay for this bond if it has 20 years remaining until maturity?
(4) Discuss your results in numbers 1 to 3 above.
(5 -10) Complete the following table and discuss your findings.
Bond | Coupon | Required Return | Time to Maturity | Price |
5 | 10% | 6% | 5 | |
6 | 10% | 6% | 10 | |
7 | 10% | 6% | 15 | |
8 | 10% | 14% | 5 | |
9 | 10% | 14% | 10 | |
10 | 10% | 14% | 15 |
(11 - 13) Determine the current yield on the following bonds.
Bond | Coupon | Required Return | Time to Maturity | Price | Current Yield |
11 | 10% | 8% | 5 | ||
12 | 10% | 10% | 10 | ||
13 | 10% | 12% | 15 |
(14 - 16) Determine the yield to maturity on the following securities.
Bond | Coupon | Time to Maturity | Time to Call | Market Price | Call Price | YTM |
14 | 8% | 12 | 5 | $ 1,075.00 | $1,080 | |
15 | 10% | 15 | 4 | $ 975.00 | $1,100 | |
16 | 12% | 20 | 5 | $ 1,325.00 | $1,200 |
(17- 19) Determine the yield to call on the following securities.
Bond | Coupon | Time to Maturity | Time to Call | Market Price | Call Price | YTC |
17 | 8% | 12 | 5 | $ 1,075.00 | $1,080 | |
18 | 10% | 15 | 4 | $ 975.00 | $1,100 | |
19 | 12% | 20 | 5 | $ 1,325.00 | $1,200 |
(20 - 22) Determine the realized yield (ARY) on the following investments.
Bond | Purchase Price | Sales Price | Coupon Rate | Holding Period | YTC |
20 | $ 1,075.00 | $ 1,285.00 | 8% | 3 | |
21 | $ 975.00 | $ 1,155.00 | 10% | 5 | |
22 | $ 1,325.00 | $ 985.00 | 12% | 8 |
(23 - 25) Assume that the expectations of one year interest rates are as follows:
Year 1 6%
Year 2 5%
Year 3 8%
Year 4 5%
Based upon the Expectations Theory, determine the:
(23) Interest rate on a security with a 2 year maturity
(24) Interest rate on a security with a 3 year maturity
(25) Interest rate on a security with a 4 year maturity
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