Compound Interest Calculator
Calculate how your investments grow over time with the power of compound interest.
Inputs
Estimates only. Calculations do not constitute formal financial advice. Always consult a qualified professional before making financial commitments.
Results Summary
Result
Growth Over Time
Mechanics of Compound Interest & Recurring Deposits
Unlike simple interest — where yield applies strictly to the initial deposit —, compound interest multiplies capital by evaluating returns on accumulated earnings plus ongoing periodic deposits.
The mathematical model applied by FinanceCalc Hub breaks the total future value into two core financial components:
1. Future Value of Initial Principal
Models the standalone exponential growth of the day-zero principal subject to compound rates across the investment duration.
2. Future Value of an Ordinary Annuity
Models the compounding effect of monthly deposits, calculating individual returns for every installment added month over month.
The consolidated mathematical formula for Total Accumulated Wealth (A) is defined as:
Frequently Asked Questions
How do compound interest and monthly recurring deposits interact?
Interest accumulates during each period on both the original deposit and previously earned interest, plus new monthly cash additions. This compounding process causes wealth accumulation to follow an exponential growth curve over time.
What is the complete formula for compound growth with monthly additions?
The calculation combines the Future Value of Principal and Future Value of Annuity: A = P(1 + r/n)^(nt) + PMT * [((1 + r/n)^(nt) - 1) / (r/n)], where P is principal, PMT is deposit, r is rate, n is compounding frequency, and t is time in years.
Why is investment duration more critical than annual yield percentage?
Because compound returns compound exponentially, the compounding effect in later years generates returns that drastically outpace total out-of-pocket contributions, making timeline the single most important factor.
Does this simulation adjust for inflation or taxes?
The results present gross nominal amounts. To estimate inflation-adjusted purchasing power, subtract expected inflation percentages directly from your annual return rate input.
Nominal Yield vs. Real Yield (Inflation Effect)
Long-term projections must consider inflation rates. To calculate real purchasing power gain, subtract expected inflation from the gross annual return rate inputted into the calculator limits.
Estimates only. Calculations do not constitute formal financial advice. Always consult a qualified professional before making financial commitments.