In: Finance
Bond prices. Price the bonds from the following table with semiannual coupon
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payments.
Par Value |
Coupon Rate |
Years to Maturity |
Yield to Maturity |
Price |
|||
$5 ,000.00 |
10% |
20 |
11% |
? |
|||
$1 ,000.00 |
9% |
20 |
6% |
? |
|||
$1 ,000.00 |
6% |
15 |
7% |
? |
|||
$5 ,000.00 |
5% |
20 |
9% |
? |
Bonds | 1 | 2 | 3 | 4 | ||||
rate | 5.5% | 3.0% | 3.5% | 4.5% | ||||
nper | 40 | 40 | 30 | 40 | ||||
pmt | $ 250.00 | $ 45.00 | $ 30.00 | $ 125.00 | ||||
fv | $ 5,000.00 | $ 1,000.00 | $ 1,000.00 | $ 5,000.00 | ||||
Price of bond | = | =-pv(rate,nper,pmt,fv) | ||||||
= | $ 4,598.85 | $ 1,346.72 | $ 908.04 | $ 3,159.84 | ||||
Where, | ||||||||
rate | Semi annual required return | |||||||
nper | semi annual number of period | |||||||
pmt | semi annual coupon payment | |||||||
fv | Face Value | |||||||
Working: | ||||||||
Par Value | a | $ 5,000 | $ 1,000 | $ 1,000 | $ 5,000 | |||
Semi annual coupon rate | b | 5% | 4.50% | 3% | 2.50% | |||
Semi annual coupon | c=a*b | $ 250 | $ 45 | $ 30 | $ 125 | |||