NO.PZ2022071202000011
问题如下:
Question An investor deposits £2,000 into an account that pays 6% per annum compounded continuously. The value of the account at the end of four years is closest to:选项:
A.£2,854. B.£2,525. C.£2,542.解释:
Solution
C is correct. The future value (FV) of a given lump sum, calculated using continuous compounding, is: FV = PVerN = 2,000 × e0.06 × 4 = £2,542.49 ~ £2,542.
A is incorrect. It is calculated as: ln(0.06 × 4) × 2,000 = -2,854.23 and ignores the negative sign of the logarithm.
B is incorrect. It uses annual compounding: 2,000 × (1 + 0.06)4 = 2,524.95.