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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.If it rises by 1% or 2% every day, how much will it increase in 240 trading days a year?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:


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.F&=(1 + 0.01)^{240}\\Therefore, the daily increase is 2%, and after 240 trading days, the increase is about 11,488.87 \%.


\begin{align*}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\%.Therefore, according to the daily increase of 1\%, the increase is about 989.26\% after 240 trading days.

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