In: Finance
Calculate the value of each of the bonds shown in the following table, all of which pay interest semiannually.
|
Bond |
Par Value |
Coupon interest rate |
Years to maturity |
Required stated annual return |
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|
A |
$500 |
8% |
|
9 |
11% |
|
|||
|
B |
1,000 |
13 |
20 |
11 |
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|
C |
500 |
15 |
5 |
16 |
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The value of bond A, B, C is $?? (Round to the nearest cent.)
| Bond | Value | |||||||
| A | $ 415.65 | |||||||
| B | $ 1,160.46 | |||||||
| C | $ 660.46 | |||||||
| Working; | ||||||||
| Value of bond is the present value of cash flows from bond. | ||||||||
| Present value of cash flows of Bond A | = | =-pv(rate,nper,pmt,fv) | ||||||
| = | $ 415.65 | |||||||
| Where, | ||||||||
| rate | 11%/2 | = | 0.055 | |||||
| nper | 9*2 | = | 18 | |||||
| pmt | 500*4% | = | $ 20 | |||||
| fv | = | $ 500 | ||||||
| Present value of cash flows of Bond B | = | =-pv(rate,nper,pmt,fv) | ||||||
| = | $ 1,160.46 | |||||||
| Where, | ||||||||
| rate | 11%/2 | = | 0.055 | |||||
| nper | 20*2 | = | 40 | |||||
| pmt | 1000*6.5% | = | $ 65 | |||||
| fv | = | $ 1,000 | ||||||
| Present value of cash flows of Bond C | = | =-pv(rate,nper,pmt,fv) | ||||||
| = | $ 660.46 | |||||||
| Where, | ||||||||
| rate | 16%/2 | = | 0.055 | |||||
| nper | 5*2 | = | 40 | |||||
| pmt | 500*7.5% | = | $ 38 | |||||
| fv | = | $ 500 | ||||||