Shaq Corporation issued $10,000 of 20-year bonds on January 1, 2021. The bonds pay interest semiannually. This is a partial bond amortization schedule for the bonds. Payment Cash Effective interest Decrease in balance Outstanding balance
9,080
1 400 409 9 9,089
2 400 409 9 9,098
3 400 409 9 9,107
4 400 410 10 9,117
What is the effective annual rate of interest on the bonds?
a. 9.0%.
b. 4.5%.
c. 8.0%.
d. 4.0%.

The correct option a. 9.0%.

Explanation:

Note: The data in this question are merged together. They are therefore sorted before answering the question. See the attached pdf file for the complete question with the sorted data.

The explanation of the answer is now given as follows:

Effective semiannual interest rate = Effective interest / Previous outstanding balance ……………………. (1)

Using Payment 1 information, we have:

Effective semiannual interest rate = 409 / 9,080 = 0.0450, or 4.50%

Effective annual interest rate = Effective semiannual interest rate * Number of semiannuals in a year = 4.50% * 2 = 9.0%

Therefore, the correct option a. 9.0%.

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