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Mathematical Formula
FV = PV · (1 + r/n)^(n · t) + PMT · [((1 + r/n)^(n · t) − 1) / (r/n)]
- FV = Target future savings milestone amount
- PV = Initial current savings balance
- PMT = Required periodic savings deposit
- r = Annual nominal interest rate (decimal)
- n = Compounding frequency per year (12 = monthly, 365 = daily)
- t = Time horizon in years
To reach a specific savings goal by a target date, you can calculate the exact regular contribution required by factoring in the compound interest your savings will earn over the accumulation period.
Earning compound interest reduces the total out-of-pocket cash deposits needed to reach your target milestone compared to saving in a non-interest-bearing account.
Mathematical model verified & deterministicOpen Savings Calculator