Assume that the YTM from problem 18 is 3.5% and that it is
callable under the conditions described in problem 21 above, what
would the market price be (enter as a decimal with two decimal
places - XXXX.XX)
**Problem 18: The current market price of a 7 year corporate bond
with a 5% coupon if market interest rates are 6% would be: (enter
answer as a decimal with two decimal places - XXXX.XX
**Problem 21: If the bond described in problem 18 above were
callable in 4 years at a premium of $1,050 (based on the
information in problem 18) this bond is likely to be called.
18. Market value of bond - 7 years
Cash flow = Face value of the bond × coupon rate
= 1000×5/100 = 50.
In the last year,
Face value of bond + interest = 1000+50=1050.
Years | Cash flow | present value factor | Present value of cash flow |
1-6 | 50 | 5.3285 | 266.42 |
7 | 1050 | .0.7859 | 825.20 |
Market value of bond | 1091.62 |
21. Market value of the bond - 4years
Cash flow = Face value of the bond × coupon rate
= 1000×5/100 = 50.
In the last year,
Face value of bond + interest = 1000+50=1050.
Years | Cash flow | present value factor | Present value of cash flow |
1-3 | 50 | 2.8016 | 140.08 |
4 | 1050 | 0.8714 | 914.97 |
Market value of bond | 1055.05 |
It is likely to be called at $1050, it is also a good option because, the market value at the end of 4 years is $1055.05 which gives a gain of $5.05 for the company.
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