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?(Bond valuation? relationships) The 19?-year, ?$1,000 par value bonds of Waco Industries pay 12 percent interest annually
?(Bond valuation? relationships) The 19?-year, ?$1,000 par value bonds of Waco Industries pay 12 percent interest annually. The market price of the bond is ?$1,145?, and the? market's required yield to maturity on a? comparable-risk bond is 9 percent.
a. What is your yield to maturity on the Waco bonds given the current market price of the? bonds? (%, Round to two decimal places)
b. Determine the value of the bond to you given the? market's required yield to maturity on a? comparable-risk bond. ($, EX. 102.25)
c. Should you purchase the? bond?
Expert Solution
a). We can calculate the yield to maturity by using the following formula in excel:-
=rate(nper,pmt,-pv,fv)
Here,
Rate = Yield to maturity
Nper = 19 periods
Pmt = Coupon payment = $1,000*12% = $120
PV = $1,145
FV = $1,000
Substituting the values in formula:
= rate(19,120,-1145,1000)
= 10.24%
b). We can calculate the value of bond by using the following formula in excel:-
=-pv(rate,nper,pmt,fv)
Here,
PV = Value of bond
Rate = 9%
Nper = 19 periods
Pmt = Coupon payment = $1,000*12% = $120
FV = $1,000
Substituting the values in formula:
=-pv(9%,19,120,1000)
= $1,268.50
c). We should purchase the bond as market price of the bond is $1,145 and value of the bond on given market's required yield to maturity on comparable risk bond is $1,268.50 so its means the bond is undervalued and we should purchase the bond.
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