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

\begin{align*}If it rises by 1% or 2% every day, how much will it increase in 240 trading days a year?