Bond A pays $8,000 in 20 years. Bond B pays $8,000in 40 years. (To keep things simple, assume that theseare zero-coupon bonds, meaning the $8,000 is theonly payment the bondholder receives.)a. If the interest rate is 3.5 percent, what is the valueof each bond today? Which bond is worth more?Why? (Hint: You can use a calculator, but the ruleof 70 should make the calculation easy.)b. If the interest rate increases to 7 percent, what isthe value of each bond? Which bond has a largerpercentage change in value?c. Based on the example above, complete the twoblanks in this sentence: “The value of a bond[rises/falls] when the interest rate increases,and bonds with a longer time to maturity are[more/less] sensitive to changes in the interestrate.”
Bond A pays $8,000 in 20 years. Bond B pays $8,000
in 40 years. (To keep things simple, assume that these
are zero-coupon bonds, meaning the $8,000 is the
only payment the bondholder receives.)
a. If the interest rate is 3.5 percent, what is the value
of each bond today? Which bond is worth more?
Why? (Hint: You can use a calculator, but the rule
of 70 should make the calculation easy.)
b. If the interest rate increases to 7 percent, what is
the value of each bond? Which bond has a larger
percentage change in value?
c. Based on the example above, complete the two
blanks in this sentence: “The
[rises/falls] when the interest rate increases,
and bonds with a longer time to maturity are
[more/less] sensitive to changes in the interest
rate.”
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