Question

You own two bonds. Both bonds pay annual interest, have 7 percent coupons, and currently have 7 percent yields to maturity. Bond A has 5 years to maturity and Bond B has 10 years to maturity. If the market rate of interest changes unexpectedly to 6 percent, the price of Bond A will change by _____ percent and the price of Bond B will change by _____ percent.

Answer 1

the price of Bond A will change by 4.21% and the price of Bond B will change by 7.36%.

Step-by-step explanation:

Bonds A and B

current bond price $1,000

interest rate 7%

Bond A matures in 5 years, annual payments

Bond B matures in 10 years, annual payments

if market interest decreases to 6%

Bond A:

$1,000 / (1 + 6%)⁵ = $747.26

$70 x 4.2124 (annuity factor, 6%, 5 periods) = $294.87

market price = $1,042.13

% change = 4.21%

Bond B:

$1,000 / (1 + 6%)¹⁰ = $558.39

$70 x 7.3601 (annuity factor, 6%, 10 periods) = $515.21

market price = $1,073.60

% change = 7.36%