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Dan is considering the purchase of Super Technology, Inc

Finance

Dan is considering the purchase of Super Technology, Inc. bonds that were issued 3 years ago. When the bonds were originally sold they had a 24-year maturity and a 6.19 percent coupon interest rate, paid annually. The bond is currently selling for $882. Par value of the bond is $1,000. What is the yield to maturity on the bonds if you purchased the bond today?

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Computation of Yield to Maturity using Rate Function in Excel:

=rate(nper,pmt,-pv,fv)

Here,

Rate = Yield to Maturity = ?

Nper = 24 years-3 Years = 21 Years 

PMT = $1,000*6.19% = $61.90

PV = $882

FV = $1,000

Substituting the values in formula:

=rate(21,61.90,-882,1000)

Rate or Yield to Maturity  = 7.31%