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Multiple Choice
If $1 is compounded semiannually for 5 years at an annual interest rate of 2%, how many compounding periods will there be in total?
A
20 periods
B
5 periods
C
2 periods
D
10 periods
Verified step by step guidance
1
Understand the concept of compounding: Compounding occurs when interest is calculated and added to the principal at regular intervals. In this case, the compounding is semiannual, meaning twice a year.
Determine the number of compounding periods per year: Since the compounding is semiannual, there are 2 compounding periods in one year.
Identify the total duration of the investment: The investment lasts for 5 years.
Calculate the total number of compounding periods: Multiply the number of compounding periods per year (2) by the total number of years (5). Use the formula: \( \text{Total Compounding Periods} = \text{Compounding Periods per Year} \times \text{Number of Years} \).
Verify the calculation: Ensure that the multiplication is correct and matches the expected result of 10 compounding periods.