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EMI, CAGR & Depreciation · Question 40 of 66

Question 40

MediumOriginal question

An investment grows from ₹10,000 to ₹14,641 in 4 years. What is its compound annual growth rate?

Options for question 40

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. CAGR is the ratio of the end value to the start value raised to the power 1n\frac{1}{n}, minus 1: (1.4641)1/4−1(1.4641)^{1/4} - 1.

  2. 1.14=1.46411.1^{4} = 1.4641, so CAGR =1.1−1=10%= 1.1 - 1 = 10\%.

Worth noting

11.6% spreads the 46.41% growth evenly over 4 years, forgetting that growth compounds.

Concept
CAGR from the start and end values
Typical time
90 s
Your time
—
The rule this testsRate of return and CAGR
Practise this chapter →

Ten questions from EMI, CAGR & Depreciation, at your own pace.

Practise this chapter →

Ten questions from EMI, CAGR & Depreciation, at your own pace.