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(Bond valuation) The 13?-year ?$1,000 par bonds of Vail Inc
(Bond valuation) The 13?-year ?$1,000 par bonds of Vail Inc. pay 11 percent interest. The? market's required yield to maturity on a? comparable-risk bond is 8 percent. The current market price for the bond is $1,130.
a. Determine the yield to maturity.
b. What is the value of the bonds to you given the yield to maturity on a? comparable-risk bond?
c. Should you purchase the bond at the current market? price?
Expert Solution
a. Computation of Yield to Maturity using Rate Function in Excel:
=rate(nper,pmt,-pv,fv)
Here,
Rate = Yield to Maturity = ?
Nper = Number of Years to Maturity = 13 years
PMT = Coupon Payment = $1,000*11% = $110
PV = Current Market Price = $1,130
FV = Face Value = $1,000
Substituting the values in formula:
=rate(13,110,-1130,1000)
Rate or Yield to Maturity = 9.24%
b. Computation of Value of the bonds to you given the yield to maturity on a? comparable-risk bond using PV Function in Excel:
=-pv(rate,nper,pmt,fv)
Here,
PV = Value of Bond = ?
Rate = Yield to Maturity = 8%
Nper = Number of Years to Maturity = 13 years
PMT = Coupon Payment = $1,000*11% = $110
FV = Face Value = $1,000
Substituting the values in formula:
=-pv(8%,13,110,1000)
PV or Value of Bonds = $1,237.11
c) Yes bond should be purchased as derieved market price is more than actual market price.
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