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2024-12-13 16:26:42

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.\end{align*}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:


1.01 {240} \ approximate 10.8926 is calculated by a calculator.Step 2: Substitute data for calculation.Substituting r = 0.01 and n = 240 into the above formula, we can get:


F&=(1 + 0.01)^{240}\\Substituting r = 0.01 and n = 240 into the above formula, we can get: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.

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