Finance Calculator
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Future Value$37,405.09
This finance calculator is a flexible time-value-of-money solver: pick which variable you want to find and supply the rest. It can solve for future value, present value, payment, interest rate, or the number of periods using the same compounding logic that underpins loans, savings, and investments. One tool replaces a stack of single-purpose calculators when you are working through any standard TVM problem.
Formula
FV = PV(1+r/12)^(12t) + PMT·[((1+r/12)^(12t) − 1)/(r/12)]
- PV
- Present value (starting amount)
- FV
- Future value (ending amount)
- PMT
- Periodic payment per month
- r
- Annual interest rate as a decimal
- t
- Number of years (periods)
How it works
- Select what to solve for: Future Value, Present Value, Payment, Rate, or Periods. The remaining inputs become the knowns for that calculation.
- Enter present value, future value, periodic payment, annual rate, and number of periods as applicable. Future and present value use monthly compounding; payment uses the monthly loan annuity formula.
- The calculator returns the solved value with a clear label. For Periods it inverts the lump-sum growth formula, and for Rate it solves the annualized growth from present value to future value.
Worked example
Solve for the future value of $10,000 invested for 10 years at 6% with a $200 monthly payment, compounded monthly.
- Monthly rate: 6% ÷ 12 = 0.5%; total periods: 10 × 12 = 120.
- Grow the lump sum: 10,000 × 1.005^120 ≈ $18,193.97.
- Grow the payments: 200 × (1.005^120 − 1) ÷ 0.005 ≈ $32,775.87.
- Add them: 18,193.97 + 32,775.87 ≈ $50,969.84.
Future Value is about $50,969.84.
Frequently asked questions
- What is the time value of money?
- It is the principle that a dollar today is worth more than a dollar in the future because it can be invested and earn a return. This calculator quantifies that idea by relating present value, future value, payments, rate, and time.
- Which compounding frequency does it use?
- Future value and present value are computed with monthly compounding, and the payment mode uses the monthly loan annuity formula. This makes the tool consistent with how mortgages, car loans, and most savings accounts actually accrue.
- When should I solve for Periods versus Rate?
- Solve for Periods when you know your rate and want to learn how long money takes to grow from a present to a future value. Solve for Rate when you know the time horizon and want the annual return needed to hit a target balance.
- Can it handle loans as well as investments?
- Yes. The Payment mode produces a monthly loan payment from a principal, rate, and term, while the Future Value and Present Value modes handle savings and investment problems, making it a general-purpose financial tool.