Answer:
a) $393.65
b) $458.11
c) $217.63
Explanation:
Given data:
16-year ( n )
$1000 par value ( FV )
6% ( R )
A) determine the initial price of the bond
= FV / ( 1 + R ) ^ n
= 1000 / ( 1.06 ) ^ 16
= 1000 / 2.5403 = $393.65
B ) when interest rate drops to 5% determine the value of the zero-coupon rate of bond
= FV / ( 1 + R ) ^n
= 1000 / ( 1.05 ) ^ 16
= 1000 / 2.1829 = $458.11
C ) when interest rate increases to 10% determine the value of the zero-coupon rate of bond
= Fv / ( 1 + R ) ^ n
= 1000 / ( 1.1 ) ^ 16
= 1000 / 4.5950 = $217.63
