Time Value of Money
Time Value of Money Calculator
Free Future Value Calculator, Present Value Calculator, and Investment Growth Calculator — all in one. Solve any TVM variable instantly. Plain-English results. No finance degree needed.
Imagine you have $100 today. You can put it in a magic cookie jar that adds 10 cookies (10%) every year.
Today
$100
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Year 1
$110
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Year 2
$121
🍪🍪🍪
Year 3
$133
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Each year earns more cookies than the last — because your interest is also earning interest. That's compounding.
📈 Future Value (FV)
What will my $100 today grow to in 3 years? → $133
💰 Present Value (PV)
How much do I need today to have $133 in 3 years? → $100
📅 Periods (N)
How many years until my $100 doubles at 10%? → ~7.3 years
% Interest Rate (I/Y)
What rate do I need to turn $100 into $133 in 3 years? → 10%
💡 The key idea: $1 today is worth more than $1 tomorrow — because today's dollar can grow. The TVM calculator finds any missing piece of that puzzle.
Quick scenarios — tap to fill the calculator
Step 1 — What do you want to find?
Step 2 — Enter the values you know
Future Value
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What this means in plain English
Visual Timeline
TODAY
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FUTURE
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Step-by-step calculation
What is the Time Value of Money Calculator?
A Time Value of Money Calculator (TVM Calculator) is a financial tool that solves the core equation of money and time: $1 today is worth more than $1 in the future, because today's money can be invested to earn compound returns. This free calculator works as a Future Value Calculator, Present Value Calculator, Investment Growth Calculator, Savings Growth Calculator, and Investment Return Calculator — all in one.
Every TVM calculation involves five variables. Enter any four and this calculator instantly solves for the fifth — whether that's the future value of a lump sum investment, the present value of a future cash flow, the interest rate needed to hit a goal, the number of years required, or the payment amount for a recurring savings plan.
FV
Future Value
Investment growth calculator — what money grows to
PV
Present Value
Discounting — what future money is worth today
I/Y
Interest Rate
Annual return or inflation-adjusted growth rate
N
Time (Years)
How many years to reach your savings goal
PMT
Payment
Regular deposits for retirement or savings plans
Future Value Calculator — Compound Growth Calculator
The Future Value (FV) calculator answers: "If I invest money today, how much will it be worth in the future?" It uses compound growth — meaning your interest earns interest — to project any lump sum investment or regular savings contribution forward in time.
Lump Sum Investment Calculator
$10,000 invested at 8%/yr for 20 years → grows to $46,610
Use FV with PMT = 0 to project a one-time lump sum investment over any time horizon.
Savings Growth Calculator
$500/month at 7%/yr for 30 years → grows to $566,765
Use FV with a monthly PMT to see exactly how regular savings contributions compound over time.
Compound Growth Calculator
$1,000 at 10%/yr compounded monthly → = 10.47% effective annual rate
Change the compounding frequency to see how monthly vs annual compounding affects total growth.
Present Value Calculator — Investment Return Calculator
The Present Value (PV) calculator answers: "What is a future sum worth in today's dollars?" This is the foundation of every investment return calculator — it discounts future cash flows back to today using a required rate of return (discount rate). It's how investors value stocks, bonds, real estate, and business acquisitions.
Real estate investment
A property expected to sell for $500,000 in 10 years — what is that worth to you today if your required return is 8%? PV = $231,597. Pay more than that and your return falls short.
Bond & stock valuation
Any investment promising future cash flows can be valued by discounting them to PV. Lower discount rates produce higher present values — which is why stock prices rise when interest rates fall.
Job offer comparison
A $10,000 bonus now vs $12,000 in 2 years at 8% rate — PV of the future bonus is $10,288. The future bonus wins, but only slightly.
Education ROI
What is the PV of $5,000 extra salary per year for 30 years, discounted at 6%? About $68,905 — compare to your tuition cost to evaluate whether the degree pays off.
Retirement Investment Calculator — Inflation Adjusted Return Calculator
This TVM calculator doubles as a retirement investment calculator and inflation adjusted return calculator. To calculate inflation-adjusted (real) returns, subtract the inflation rate from your nominal interest rate. For example: 8% nominal return − 3% inflation = 5% real return. Enter 5% as your rate to see your portfolio's true purchasing-power growth.
📊 Retirement planning example
Monthly savings (PMT)
$800/month
Time horizon (N)
30 years
Real return rate (I/Y)
5% (inflation-adj.)
Starting balance (PV)
$25,000
Result: Future Value
$735,261
Total contributions
$288,000 + $25,000
Use "Solve for PMT" to find exactly how much you need to save monthly to reach your retirement target. Use a real (inflation-adjusted) rate like 5-6% for a conservative projection in today's purchasing power.
When Would I Use This Calculator?
Investment growth projection
As a future value calculator: see exactly how much any investment — lump sum or recurring — grows at a given compound rate over any time horizon.
The latte factor (savings growth)
As a savings growth calculator: $5/day coffee = $150/month. At 8%/yr over 30 years that grows to $220,000. Compound growth is powerful.
House deposit savings goal
Use N or PMT to find how long to save or how much per month at a given rate to hit your deposit target.
Investment return comparison
As an investment return calculator: compare two investments with different timings, rates, or payment structures on a like-for-like PV basis.
Retirement investment planning
As a retirement investment calculator: model monthly contributions + lump sum + inflation-adjusted rate to find your projected nest egg.
Loan & EMI cost analysis
Use PV to understand the true present-day cost of any loan, or solve for PMT to calculate exact monthly repayment amounts.
TVM Formula Reference
All five TVM variables are linked by one core equation. The calculator automatically applies the correct rearrangement based on which variable you're solving for:
Future Value (Compound Growth)
FV = PV x (1 + r/m)^(nxm)
Add PMT x [(1+r/m)^N − 1]/(r/m) for recurring payments
Present Value (Discounting)
PV = FV ÷ (1 + r/m)^(nxm)
Lower discount rate → higher present value
Interest Rate (Investment Return)
r = solved by Newton-Raphson iteration
Exact closed form only exists when PMT = 0
Time Periods (N)
N = ln(FV/PV) ÷ ln(1 + r/m) ÷ m
Iteration used when PMT != 0
Payment (Savings / Annuity)
PMT = [FV − PVx(1+r/m)^N] ÷ [(1+r/m)^N−1]/(r/m)
Multiply by (1+r/m) for annuity due
Effective Annual Rate
EAR = (1 + r/m)^m − 1
10%/yr compounded monthly = 10.47% EAR
Frequently Asked Questions
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A Time Value of Money Calculator solves the relationship between five financial variables: Present Value (PV), Future Value (FV), Interest Rate (I/Y), Number of Periods (N), and Payment (PMT). Enter any four and it instantly calculates the fifth. It functions as a future value calculator, present value calculator, investment growth calculator, savings growth calculator, and retirement investment calculator — all in one free tool.
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Select "Future Value" in the Solve For row. Enter your Present Value (starting amount), Annual Interest Rate, and Number of Years. Optionally add a regular Payment (monthly savings). Click Calculate. The result shows exactly how much your investment or savings will grow to, including a year-by-year compound growth chart.
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Select "Present Value" and enter the Future Value (the amount you expect to receive), the discount rate (your required return), and the number of years. The calculator tells you what that future sum is worth today. This is the core function of any investment return calculator — comparing future cash flows on a like-for-like basis.
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Select "Future Value". Enter your current savings as PV, your expected annual return as I/Y (use a real/inflation-adjusted rate like 5-6% for conservative planning), the years to retirement as N, and your monthly contribution as PMT. The result is your projected retirement nest egg. To find the required monthly savings instead, select "Payment (PMT)" and enter your target retirement amount as FV.
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An inflation adjusted return calculator shows your investment's growth in real purchasing power terms, not just nominal dollars. To use this TVM calculator for inflation-adjusted returns: subtract the expected inflation rate from your nominal return. Example: 8% stock return − 3% inflation = 5% real return. Enter 5% as your rate to see what your portfolio will actually be worth in today's dollars.
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A lump sum investment calculator projects the future value of a one-time investment. Use this calculator with PMT = 0, enter your lump sum as PV, set your expected rate (I/Y) and time horizon (N), then select "Future Value". Example: $50,000 invested at 8%/yr for 25 years grows to $342,424 — all from a single lump sum investment.
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Compounding frequency is how often interest is added to your principal. Monthly compounding (12x/year) earns more than annual compounding at the same stated rate — because interest starts earning interest sooner. Example: $10,000 at 10%/year annual compounding = $25,937 after 10 years. Monthly compounding = $27,070. The difference grows significantly over longer time horizons.
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This calculator uses exact TVM formulas for FV, PV, and PMT calculations. For interest rate (I/Y) and period (N) solving, it uses Newton-Raphson numerical iteration — the same method used in professional financial calculators like the HP 12C and BA II Plus — converging to a precision of 1x10-10. Results match professional financial calculators to 4+ decimal places.
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