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.
Answer & explanation
Correct answer: option 4
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%