Question

Discount-Mart issues $10 million in bonds on January 1, 2018. The bonds have a ten-year term and pay interest semiannually on June 30 and December 31 each year. Below is a partial bond amortization schedule for the bonds: Date Cash Paid Interest Expense Increase in Carrying Value Carrying Value 1/1/2018 $8,640,967 6/30/2018 $300,000 $345,639 $45,639 8,686,606 12/31/2018 300,000 347,464 47,464 8,734,070 6/30/2019 300,000 349,363 49,363 8,783,433 12/31/2019 300,000 351,337 51,337 8,834,770 What is the stated annual rate of interest on the bonds

Answer 1

6%

Step-by-step explanation:

Given the following :

Amount of bond issued = $10,000,000

Cash paid = $300,000

Term of bond = 10years

Semiannual interest pay

The stated annual rate of interest on the bond can be calculated thus :

Rate of interest ;

Cash paid / Amount of bond issued

$300,000 / $10,000,000

= 0.03

0.03 * 100%

= 3% (semiannual interest)

Therefore, annual rate of interest :

Semiannual rate * 2

3% * 2 = 6%