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2024-12-13 21:35:43

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:


\begin{align*}Substituting r = 0.01 and n = 240 into the above formula, we can get: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\%.


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.F&=(1 + 0.01)^{240}\\&=1.01^{240}

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