We can use the formula for calculating the final value of compound interest to calculate the final increase under this continuous growth situation. The following are the specific steps:We can use the formula for calculating the final value of compound interest to calculate the final increase under this continuous growth situation. The following are the specific steps:Substituting r = 0.01 and n = 240 into the above formula, we can get:
Therefore, the daily increase is 2%, and after 240 trading days, the increase is about 11,488.87 \%.In the context of compound interest growth, if the initial value is set to P, the growth rate of each period is R, and the formula for calculating the final value F after N periods is F = P (1+R) N. In this topic, we mainly pay attention to the increase multiple, so we can regard the initial value as 1, where the growth rate of each trading day is r = 1\% = 0.01, and the number of periods passed is n = 240 trading days.This means that after 240 trading days, the overall increase multiple is about 10.8926 times, and the increase is (10.8926-1) \times 100\% = 989.26\%.
1.01 {240} \ approximate 10.8926 is calculated by a calculator.&=1.01^{240}