James Corporation is planning to issue bonds with a face value of $504,500 and a coupon rate of 6 percent. The bonds mature in 10 years and pay interest semiannually every June 30 and December 31. All of the bonds will be sold on January 1 of this year. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your final answer to whole dollars.)
Required:
Compute the issue (sale) price on January 1 of this year for each of the following independent cases:
a. Case A: Market interest rate (annual): 4 percent.
Here
a.
CASE A:
$504,500 × .67297 | $ | 339,513 | |
$15,135* × 16.35143 | 247,479 | ||
Issue price (market rate less than coupon rate) | $ | 586,992 | **(at a premium) |
*$504,500 × .06 × ½
**Using Excel or a financial calculator results in a present value of $586,992 (rounded).
b.
CASE B:
$504,500 × .55368 | $ | 279,332 | |
$15,135* × 14.87747 | 225,171 | ||
Issue price (market rate same as coupon rate) | $ | 504,503 | **(at par) |
*$504,500 × .06 × ½
**Using Excel or a financial calculator results in a present value of $504,500.
c.
CASE C:
$504,500 × .43499 | $ | 219,452 | |
$15,135* × 13.29437 | 201,210 | ||
Issue price (market rate greater than coupon rate) | $ | 420,662 | **(at a discount) |
*$504,500 × .06 × ½
**Using Excel or a financial calculator results in a present value of $420,662 (rounded).
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