Mr Tripathi invested ₹10000 in a company's fund. His yearly investment values are shown in the table given below :
Calculate CAGR of his investment. |
-3.05% -4.05% -1.05% -2.05% |
-2.05% |
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% |