Question

On January 1, Year 2002, Target issued $4,000,000 par value 20-year bonds. The bonds pay interest...

On January 1, Year 2002, Target issued $4,000,000 par value 20-year bonds. The bonds pay interest semiannually on January 1 and July 1 at an annual rate of 8 percent. The bonds were priced to yield (effective rate) 6 percent on the date of issue.  

QUESTION: Compute the issue price (cash proceeds) of the bonds on the date of issue.

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Note : As present value table is not given with the question so present value is calculated manually upto 5 decimal places answer may vary if different decimals are taken  

Answer
Issue price of Bond $               4,924,654
Calculated as
Interest semi annually =4000000*4% 160000
Period of payments =20*2 40
Present value factor discount rate =6%/2 3%
Period Amount PV @ 3% Present Value
1 to 40 Semi annual int payments 1-40 $     160,000 23.11509 $ 3,698,414.400
Maturity Value at end of 20th year period 40 $ 4,000,000 0.30656 $ 1,226,240.000
Value of bond $ 4,924,654.400
rounded off $          4,924,654
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