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(Bond valuation)  The 13?-year ?$1,000 par bonds of Vail Inc

Finance Oct 26, 2020

(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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