Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

If the starting value of an investment is ₹10,000 and it grows to ₹20,000 in 2 years, then the value of compounded annual growth rate (CAGR) is :

[Use : $\sqrt{2}=1.414$]

Options:

50%

52.72%

41.40%

43.27%

Correct Answer:

41.40%

Explanation:

The correct answer is Option (3) → 41.40%

The compounded Annual growth (CAGR) is,

$CAGR=\left(\frac{FV}{PV}\right)^{\frac{1}{t}}-1$

$=\left(\frac{20,000}{10,000}\right)^{\frac{1}{2}}-1$

$=\sqrt{2}-1$

$=0.414=41.4\%$