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Three year bonds are issued at face value of $100,000 on Jan

Finance Jun 06, 2021

Three year bonds are issued at face value of $100,000 on Jan. 1, 2011, and a stated interest rate of 8%. Calculate the issue price of the bonds assuming a market interest rate of 6%.                  

 

1. Calculate the present value   

2. Calculate the Bond Amortization Table

Expert Solution

Computation of Present Value using PV Function in Excel:

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

Here,

PV = Present Value = ?

Rate = 6%

Nper = 3 years

PMT = $100,000*8% = $8,000

FV = $100,000

Substituting the values in formula:

=-pv(6%,3,8000,100000)

PV or Present Value = $105,346.02

 

Or we can calculate it as follows:

Issue Price of Bonds = 100,000*8%*( Annuity - Market Rate for Maturity period) + 100,000 ( PV factor Market rate for Maturity Period)

 = 100,000*8%*2.67301 + 100,000*0.83962

 = 8000*2.67301 + 83,962

 = 21,384.08 + 83,962

Issue Price of Bonds = 105,346.08

 

 

 

2) Bond Amortization Table:      
Year Interest  Interest Amortization of  Credit Balance in  Book Value of 
  Payment Expenses Bond Premium Bond Premium Account the Bonds
  ($100,000*8%) (Book Value of Bonds*6%) (Interest Expenses - Interest Payment)   (100000+Credit Balance)
0       5346.0 105346
1 8000 6320.76 -1679.24 3666.8 103666.8
2 8000 6220.01 -1779.99 1886.8 101886.8
3 8000 6113.21 -1886.79 0.0 100000

 

 

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