What is the K value associated with compounding annually?

What is the K value associated with compounding annually?

• A. 1
• B. 12
• C. 2
• D. 4

Answer: (A)

The K value associated with compounding annually is 1 because compounding annually means that the interest is added to the principal once per year. In the context of the compounding formula, K represents the number of compounding periods within a year. Since there is only one compounding period in a year for annual compounding, K is equal to 1. In contrast, other options represent different compounding frequencies. For example, a K value of 12 would indicate monthly compounding, meaning the interest is added to the principal 12 times in a year. Similarly, K values of 2 and 4 would correspond to semi-annual and quarterly compounding, respectively. In each of those cases, the number of times interest is added to the principal within a year increases, which does not apply when compounding is annual. Thus, the correct answer reflects the condition of having only one compounding interval per year.

The K value associated with compounding annually is 1 because compounding annually means that the interest is added to the principal once per year. In the context of the compounding formula, K represents the number of compounding periods within a year. Since there is only one compounding period in a year for annual compounding, K is equal to 1.

In contrast, other options represent different compounding frequencies. For example, a K value of 12 would indicate monthly compounding, meaning the interest is added to the principal 12 times in a year. Similarly, K values of 2 and 4 would correspond to semi-annual and quarterly compounding, respectively. In each of those cases, the number of times interest is added to the principal within a year increases, which does not apply when compounding is annual. Thus, the correct answer reflects the condition of having only one compounding interval per year.