In: Finance
A corporate bond has a $1,000 face value and a 5 percent coupon rate (annual payments) maturing in 3 years. a. If the yield to maturity is 7%, what is the bond price? 2 marks b. An investor believes an appropriate rate to discount the future cash flow of the bond should be 6%, should the investor buy or sell the bond? Discuss the reason(s).
a. | Bond's Price | =-pv(rate,nper,pmt,fv) | ||||||||||
= $ 947.51 | ||||||||||||
Where, | ||||||||||||
rate | = | 7% | ||||||||||
nper | = | 3 | ||||||||||
pmt | = | 1000*5% | = | $ 50.00 | ||||||||
fv | = | $ 1,000.00 | ||||||||||
b. | Investor should buy the bond. | |||||||||||
(a) At 6% discount rate, price of bond is $ 973.27.It means at 7%, Price of bond is undervalued and it is better to buy the bond. | ||||||||||||
(b) Existing bond is paying 7% Yield to maturity which is more than 6%. So, this bond is paying more. | ||||||||||||
Working: | ||||||||||||
Bond's Price at 6% | =-pv(rate,nper,pmt,fv) | |||||||||||
= $ 973.27 | ||||||||||||
Where, | ||||||||||||
rate | = | 6% | ||||||||||
nper | = | 3 | ||||||||||
pmt | = | 1000*5% | = | $ 50.00 | ||||||||
fv | = | $ 1,000.00 |