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\end{align*}1.01 {240} \ approximate 10.8926 is calculated by a calculator.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.

The following is to calculate the increase of 240 trading days according to the daily increase of 2%, and calculate it through the calculator, 1.02 {240} \ approximate 115.8887.This means that after 240 trading days, the overall increase multiple is about 115.8887 times, which is converted into the form of increase percentage, and the increase is (115.8887-1)×100\% = 11488.87\%.If it rises by 1% or 2% every day, how much will it increase in 240 trading days a year?

Step 1: Review the formula of compound interest final value.\begin{align*}Substituting r = 0.01 and n = 240 into the above formula, we can get: