(a) Using Excel (for example) we get:
Zero coupon
8% coupon
10% coupon
Current prices
$463.19
$1000.00
$1134.20
(b)
Zero coupon
8% coupon
10% coupon
Price one year from
$500.25
$1000.00
$1124.94
Price increase
$37.06
$0.00
-$9.26
Coupon income
$0.00
$80.00
$100.00
Pre-tax income
$37.06
$80.00
$90.74
Pre-tax rate of return
8.00%
8.00%
8.00%
Taxes*
$11.12
$24.00
$28.15
After-tax income
$25.94
$56.00
$62.59
After-tax return
5.60%
5.60%
5.52%
* In computing taxes we have assumed that the 10% coupon bond was issued at par and that the drop in price when the bond is sold at year-end is treated
as a capital loss (tax rate = 20%) and not as an offset to ordinary income (tax rate = 30%).