Finance Tool✨ New Release
Savings Calculator
Estimate the future growth of your savings account. Plan your savings goals and see how compounding interest makes your regular deposits grow.
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Interactive Savings Calculator Workspace
Future Balance Summary
End Savings Balance$45,634future value maturity
Total Deposits Made$35,000principal contributions
Compound Interest Earned$10,634net interest profits
Year-by-Year Growth Table
| Year | Total Deposits | Interest Earned | Ending Balance |
|---|---|---|---|
| Year 1 | $8,000 | +$292 | $8,292 |
| Year 2 | $11,000 | +$736 | $11,736 |
| Year 3 | $14,000 | +$1,338 | $15,338 |
| Year 4 | $17,000 | +$2,105 | $19,105 |
| Year 5 | $20,000 | +$3,045 | $23,045 |
| Year 6 | $23,000 | +$4,167 | $27,167 |
| Year 7 | $26,000 | +$5,477 | $31,477 |
| Year 8 | $29,000 | +$6,986 | $35,986 |
| Year 9 | $32,000 | +$8,702 | $40,702 |
| Year 10 | $35,000 | +$10,634 | $45,634 |
Mathematical Formula & Variables
Equation Model
A = P * (1 + r/n)^(n*t) + PMT * [((1 + r/n)^(n*t) - 1) / (r/n)]The future value of an ordinary annuity formula combined with simple compounding calculates the final balance of a savings account with regular additions.
Variable Definitions
| Symbol | Description |
|---|---|
| A | Accumulated future balance of savings |
| P | Initial deposit amount |
| r | Nominal annual interest rate |
| n | Compounding frequency per year |
| t | Time horizon in years |
| PMT | Recurring periodic contribution amount |
How to Use the Savings Calculator
- Input your starting initial savings deposit.
- Specify the periodic recurring contribution amount and frequency (e.g., monthly).
- Enter the Annual Interest Rate offered by the savings account.
- Specify the time horizon in years for saving.
- Review the future savings totals, total deposits, and interest earned.
Practical Example Calculation
Scenario Context: Saving $2,000 initially and contributing $150 monthly at 4% annual interest compounded monthly for 5 years.
Step 1: Identify values: P = $2,000, PMT = $150, r = 4% = 0.04, n = 12 (monthly), t = 5 years.
Step 2: Initial growth: $2,000 * (1 + 0.04/12)^60 = $2,441.99.
Step 3: Annuity growth: $150 * [((1 + 0.04/12)^60 - 1) / (0.04/12)] = $150 * 66.2989 = $9,944.84.
Step 4: Combine: A = $2,441.99 + $9,944.84 = $12,386.83.
Step 5: Total deposits: $2,000 + ($150 * 60) = $11,000.
Step 6: Interest earned: $12,386.83 - $11,000 = $1,386.83.
The total savings balance after 5 years is $12,386.83, including $1,386.83 in interest.
Frequently Asked Questions
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