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Monthly Investment Growth with Beginning Deposits

Project equal beginning-of-month investments at a constant nominal annual return, including a zero-return scenario.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Use the result with context

Results are estimates for planning and education. Confirm rates, taxes, fees, and legal requirements with the relevant institution or a qualified professional before making a financial decision.

Formula and method

Twelve beginning-of-month deposits of 1,000 with zero return contribute 12,000 and finish at 12,000, a multiple of one.

FV = deposit × [(1 + r)^n − 1]/r × (1 + r); r = annual percentage/1200; at r = 0, FV = deposit × n

Worked example

Enter these known values and leave the other values blank.

Deposit at the beginning of each month
1000 USD
Investment duration
1 yrs
Assumed nominal annual return
0 %
Total contributed
12000 USD
Modeled ending investment value
12000 USD
Ending value divided by contributions
1

Assumptions and limitations

  • Deposits occur at the beginning of each month, including the first month. The ending value is after the last month’s return accrues.
  • The annual percentage is divided by twelve to obtain a monthly rate. It is a nominal convention, not the conversion from an annual effective investment return.
  • Deposit amount and whole monthly deposit count are positive; the assumed return is nonnegative. Taxes, fund expenses, market variability and missed contributions are excluded.
  • This is a fixed-return scenario, not a forecast or guarantee. The growth multiple compares final value with contributions; it is not an annualized return.

Common questions

Why is this higher than an end-of-month deposit model?

Each beginning-of-month deposit receives one additional month of growth over the same horizon.

What happens at zero return?

Ending value equals total deposits and the contribution multiple equals one.

References

Bookify replaces expanded formulas with the equivalent annuity-due factor and an explicit zero-return branch. Bookify permits zero assumed return and requires a positive whole number of monthly deposits.

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