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A $17,000, 8

Finance Nov 25, 2020

A $17,000, 8.4% bond redeemable at par is purchased 7.5 years before maturity to yield 9.2% compounded semi-annually. If the bond interest is payable semi-annually, what is the purchase price of the bond? 
The purchase price of the bond is $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) 
 

Expert Solution

Computation of Purchase Price of Bond using PV Function in Excel:

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

Here,

PV = Purchase Price of Bonds = ?

Rate = 9.2% / 2= 4.6%

Nper = 7.5 years * 2 = 15 periods

PMT = $17,000*8.4%/2 = $714

FV = $17,000

Substituting the values in formula:

=-pv(4.6%,15,714,17000)

PV or Purchase Price of Bonds = $16,274.71

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