Mind Explorers issues bonds with a stated interest rate of 7%, face value of $200,000, and due in 10 years. Interest payments are made semi-annually. The market rate for this type of bond is 6%. Using present value tables, calculate the issue price of the bonds.
Multiple Choice
$163,200.
$186,410.
$214,878.
$200,000.
Here Answer is $214878
Calculated As
Face Value of Bond = $200000.
interest rate = 7% Semi Annually = 3.5%
semi Annually interest = 3.5% of 200000 = $7000
Market Rate = 8% Semi Annually = 4%
PV will be take @ 4% for 20 Periods for Interest
And Pv will be take @ 4% for 20th period for maturity Value
Value of bond will be calculated as following
| PV @ 3% | Present Value | ||
| 1 to 20 Semi Annual int payments | $ 7,000 | 14.877 | $ 104,142 |
| Maturity Value at end of 20th period | $ 200,000 | 0.553676 | $ 110,735 |
| Value of bond | $ 214,877 |
Issue price of bond = $214877 near $21478
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