Question

In: Finance

A corporate bond has a $1,000 face value and a 5 percent coupon rate (annual payments)...

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).

Solutions

Expert Solution

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

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