An investment compounds annually at an interest rate of 33.34% What is the smallest investment period by which time the investment will more than triple in value?
Select the correct option
A) 1 B) 2 C) 3 D) 5 E) 4

Rationale: "assume initial amount is x annual interest is 34.1 % so after 1 year the amount will become x * ( 100 + 33.34 ) / 100 = > x * 4 / 3 now we need to find n for x * ( 4 / 3 ) ^ n = 3 x or in other words n = 4 e"
Answer: E