compound interest formula with deposit fee

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P = Initial deposit amount r = Annual interest rate (expressed as a decimal) n = Number of compounding periods per year d = Deposit fee (expressed as a decimal) To calculate the future value (FV) of the investment after a certain number of years, including the deposit fee, you can use the following formula: FV = P * (1 - d) * (1 + r/n)^(n*t) Where: t = Number of years Let's apply this formula to your specific case with a deposit amount less than $1000, an interest rate less than 5%, and daily compounding. For simplicity, we'll assume the deposit fee is a fixed percentage. Let's assume: P = $1000 r = 5% = 0.05 (annual interest rate) n = 365 (number of compounding periods per year) d = 0.01 (1% deposit fee) t = Number of years (to be determined) FV = 1000 * (1 - 0.01) * (1 + 0.05/365)^(365*t) Now, based on your specific requirements, you mentioned that the deposit amount is less than $1000. If you have a specific deposit amount in mind, please provide it so we can tailor the formula accordingly.

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