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 |
|||||
A |
$500 |
8% |
|
9 |
11% |
|
|||
B |
1,000 |
13 |
20 |
11 |
|||||
C |
500 |
15 |
5 |
16 |
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 | ||||||