Question
Bond valuation and yield to maturity Mark Goldsmi th's broker has shown him two bonds issued by diffe rent compani es. Each has a maturi
Bond valuation and yield to maturity Mark Goldsmi th's broker has shown him two
bonds issued by diffe rent compani es. Each has a maturi ty of 5 years, a par va lue of
$1,000, and a yield to matu rity of 7.5%. The firs t bond is issued by Cra bbe Waste
Disposal Corporation and has a coupon rate of 6.324% paid annuall y. The second
bond, issued by Malfoy Enterp rises, has a coupon rate of 8.8% paid annuall y.
a. Calculate the selling price for each bond .
b. Mark has $20,000 to invest. If he wa nts to invest only in bonds issued by Crabbe
Waste Disposa l, how many of those bonds could he buy? What if he wants to
invest onl y in bonds issued by Malfoy Enterprises? Round your answers to the
nearest integer.
c. What is the tota l interest income th at Mark could ea rn each year if he invested
only in Crabbe bonds? How much interest would he earn each year if he invested
only in Malfoy bonds?
d. Assume that Mark will rei nvest all the interest he receives as it is paid , and his
ra te of return on re in vested in terest wi ll be 10%. Calculate the tota l dollars that
Mark will accumula te over 5 years if he in vests in Crabbe bonds or Malfoy
bonds. Your total dollar calcu lation will incl ude the interest Mark gets, the principa
l he receives when the bonds mature, and all the additional interest he earns
from reinvesting the coupon payments th at he receives.
e. The bonds issued by Crabbe and Ma lfoy might appear to be equally good investments
beca use they offer the same yield to maturity of 7.5% . Notice, however,
that your answers to part d are not the same for each bond, suggesting that one
bond is a better investment than the oth er. Why is that the case?
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