Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Mr Tripathi invested ₹10000 in a company's fund. His yearly investment values are shown in the table given below :

Year 0 1 2 3
Amount (in ₹) 10000 13000 11000 9400

Calculate CAGR of his investment.

Options:

-3.05%

-4.05%

-1.05%

-2.05%

Correct Answer:

-2.05%

Explanation:

The correct answer is option (4) : -2.05%

P.V. = ₹100000

F.V= ₹ 9400

n = 3 years

So, CAGR $=\left(\frac{9400}{100000}\right)^{1/3}-1=(0.94)^{1/3}-1$

Let $ x= (0.94)^{1/3}$

$log x = \frac{1}{3}log (0.94)$

$=\frac{1}{3}×\overline{1}.9731$

$=\frac{1}{3}(-0.0269)$

$= -0.00897$

$log\, x = T. 99103$

$x= antilog \overline{1}.99103$

$= 0.9795$

So, CAGR = 0.9795 - 1= -0.0205

Hence, CAGR = $- 0.0205×100$%= -2.05%