Question

Young Co. issues $800,000 of 10% bonds dated January 1, Year 1. Interest is payable semiannually on June 30 and December 31. The bonds mature in 5 years. The current market rate for similar bonds is 8%. The entire issue is sold on the date of issue. The following values are given:

Answer 1

Answer:

$864,884

Explanation:

The proceeds received from the issuance of bonds equal the sum of the present value of the cash flows associated with the bonds (both the face amount and interest payments) discounted at the interest rate prevailing in the market at the time. The present value of the $800,000 face amount discounted at the market interest rate of 8% is equal to $540,448 ($800,000 × .67556). The present value of the semiannual interest payments of $40,000 [$800,000 × 10% × (6 months ÷ 12 months)] discounted at the market interest rate of 8% is equal to $324,436 ($40,000 × 8.11090). Thus, the proceeds on the sale of the bonds equal $864,884 ($540,448 + $324,436).