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