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QuestionMathematics

"If interest is compounded quarterly, how many times a year is it compounded? A. Four B. One C. Twelve D. Two"
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Answer

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Step 1:
I'll solve this problem step by step:

Step 2:
: Understand the Term "Compounded Quarterly"

- The term "quarterly" means four times per year - Quarterly refers to dividing the year into four equal periods (quarters) - Each quarter represents 3 months of the year

Step 3:
: Break Down the Meaning of Quarterly Compounding

- When interest is compounded quarterly, it means the interest is calculated and added to the principal four times in a single year - This occurs once every three months (every quarter)

Step 4:
: Count the Number of Compounding Periods

- 1st quarter: January-March - 2nd quarter: April-June - 3rd quarter: July-September - 4th quarter: October-December

Step 5:
: Determine the Correct Answer

- The number of times interest is compounded is 4 times per year

Final Answer

Four The key point is that "quarterly" always means four times per year, regardless of the specific financial context.