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A $50,00 9% (6 month interest) bond is purchased by a dealer for $51,880

Finance May 21, 2021

A $50,00 9% (6 month interest) bond is purchased by a dealer for $51,880. What is its yield, if interest is paid 6 monthly?

Expert Solution

Computation of Yield to Maturity using Rate Function in Excel:

=rate(nper,pmt,-pv,fv)*2

Here,

Rate = Yield to Maturity = ?

Nper = 2

PMT = 50,000*9%/2 = $2,250

PV = $51,880

FV = $50,000

Substituting the values in formula:

=rate(2,2250,-51880,50000)*2

Rate or Yield to Maturity = 5.10%

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