Wealth building calculators

Put your money to work.
See the math.

Six precision tools for investors and long-term savers. No ads cluttering inputs, no signup walls — just clean math, instant answers, and charts that show exactly what compounding looks like.

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Calculators
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The math most people never run

Most people make financial decisions on instinct — a rough sense of whether they can "afford it," whether a rate sounds reasonable, or whether they're saving "enough." But the difference between a good financial decision and a great one is almost always a matter of running the numbers.

A 1% difference in annual return, sustained over 30 years on a $50,000 investment, produces a $90,000 difference in outcome. A $200/month increase in retirement contributions started at age 25 versus age 35 can mean $150,000 more at retirement. These numbers are not intuitive — you have to calculate them.

What these calculators can and can't do

These tools model idealized scenarios — constant interest rates, regular deposits, predictable costs. Real life is messier. Markets fluctuate. Expenses surprise you. Plans change. What calculators give you is a baseline: a clear picture of what a given plan looks like if the assumptions hold.

That baseline is enormously useful. It tells you whether a goal is achievable at all, what variables matter most, and how sensitive your outcome is to changes in rate, time, or contribution. Used honestly, that's enough to make significantly better decisions.

First-time saver

Starting a retirement fund

Use the Savings Growth calculator to see what $300/month becomes over 35 years. The chart usually settles the debate about whether to start now or wait.

Homebuyer

Planning a down payment

Use the Savings Goal calculator to find out exactly how many months it takes to save $60,000 at your current pace — and whether moving to a high-yield account shaves meaningful time off.

Entrepreneur

Pricing a new product

Use the Break Even calculator to find the minimum viable price for your product given your fixed overhead and unit costs — before you commit to a pricing strategy.

Investor

Reviewing a closed position

Use the ROI calculator to evaluate what you actually earned on a stock, property, or fund — as a CAGR you can compare fairly to an index benchmark.

Long-term planner

Modeling a lump sum

Use the Investment Return calculator to see your inheritance, bonus, or savings transfer grow year by year at a realistic rate — and see exactly when the compounding acceleration kicks in.

Student

Learning financial math

Use the Compound Interest calculator to understand why your finance professor keeps saying "start early." The difference between 10 years and 30 years at the same rate is not 3× — it's often 8–10×.

01

I have a lump sum to invest

You received a bonus, inheritance, or sale proceeds and want to understand its long-term trajectory at a given rate.

or
02

I save a fixed amount every month

You contribute regularly to a savings account, 401(k), or brokerage and want to project your future balance.

03

I have a specific savings target

You're saving toward a down payment, emergency fund, or specific goal and need a concrete timeline.

04

I want to evaluate a past investment

You exited a position and want to know your actual return as a percentage and an annualized rate (CAGR).

05

I'm pricing a product or service

You need to know the minimum sales volume to cover your costs before committing to a pricing strategy.

06

I want to understand financial basics

You're new to personal finance and want to build intuition about how compounding, returns, and savings work.

01 · Growth

Compound Interest Calculator

See how a single deposit grows when its interest is reinvested. Adjust frequency to compare daily vs. annual compounding.

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Inputs
$
%
Results
Interest earned
$0.00
Effective yield
0.00%
Per year after compounding
Growth curve
Balance Principal
About this calculator

Compound interest is the single most important concept in personal finance — and this calculator makes it visible. Enter a lump sum, an annual rate, and a time horizon, and you'll see exactly how your money grows when interest is earned not just on your original deposit, but on every dollar of interest that's already accumulated. That reinvestment loop is what creates the dramatic curve at the end of the chart.

The formula at work here is A = P(1 + r/n)nt — where P is your principal, r is the annual rate, n is how many times per year interest compounds, and t is the number of years. You can adjust the compounding frequency from annually to daily and watch the effective yield change. The difference is real but smaller than most people expect: what truly matters is the rate and, above all, the time.

This tool is most useful when you have a one-time sum to invest — an inheritance, a bonus, or a savings transfer — and you want an honest picture of where it goes over the long run. The growth chart doesn't just show the final number; it shows the shape of the journey. Most of the wealth arrives in the final years, often after a long stretch where progress feels invisible. Understanding that patiently is the whole lesson.

Frequently Asked Questions
What's the difference between simple and compound interest?
Simple interest is calculated only on the original principal. Compound interest is calculated on the principal plus any interest already earned. Over long periods, the difference is enormous — compound interest is the reason a 7% annual return turns $10,000 into $76,000 over 30 years instead of $31,000.
Does compounding frequency really matter much?
Less than people expect. Going from annual to monthly compounding at 7% adds about 0.29% in effective yield — meaningful, but not transformational. The nominal rate and the time horizon matter far more. Don't sacrifice rate for frequency.
What annual rate should I use for stock market investments?
The US stock market (S&P 500) has historically returned roughly 7–10% annually before inflation. For long-term projections, many financial planners use 6–7% as a conservative inflation-adjusted estimate. These are averages — any given year can vary wildly. This calculator assumes a constant rate; real returns are never smooth.
Why does the growth curve look flat at first and then explode?
Because interest in the early years is small in absolute dollar terms — it's a percentage of a small base. As the balance grows, so does the interest it earns. The acceleration is always present; it just becomes visible once the base is large enough. This is the core insight of compounding: you need patience more than anything else.
Real-world examples
Scenario 1

Sarah invests a $15,000 bonus at age 25

Sarah receives a work bonus and deposits it into an index fund instead of spending it. She doesn't touch it for 35 years, earning an average of 8% annually compounded monthly. The result surprises most people.

Principal
$15,000
Rate
8%
Years
35
Final balance
$228,923

Her $15,000 grew to nearly $229,000 — she earned over $213,000 in interest without adding a single dollar. This is the practical case for investing early rather than waiting for "the right time."

Scenario 2

Mark puts $25,000 into a 5-year CD at 4.5%

Mark has $25,000 in an emergency fund he doesn't plan to touch for 5 years. He moves it into a certificate of deposit paying 4.5% compounded monthly, locking in a guaranteed return.

Principal
$25,000
Rate
4.5%
Years
5
Final balance
$31,230

His $25,000 becomes $31,230 — $6,230 in guaranteed interest with zero risk. This compares favorably to a standard savings account at 0.5% which would have earned only $633 over the same period.

Scenario 3

A $10,000 emergency fund in a high-yield savings account

Instead of leaving $10,000 in a traditional bank account earning 0.01%, you move it to a high-yield savings account paying 4.8% APY. After 3 years you need it back — here's the difference.

Principal
$10,000
HYSA rate
4.8%
Years
3
Interest earned
$1,524

The same $10,000 in a 0.01% account earns just $3 over 3 years. The high-yield account earns $1,524. Same money, same period — a 500× better outcome just from choosing the right account type.

Common mistakes to avoid
01

Using an unrealistically high rate

Projecting at 12–15% because you've seen those returns recently leads to severe over-optimism. The S&P 500 has averaged ~10% nominal over a century — but many 10-year periods have returned far less. Use 6–7% for conservative planning; use higher rates only for best-case scenarios.

02

Ignoring inflation

A balance of $500,000 in 30 years is not equivalent to $500,000 today. At 3% annual inflation, its real purchasing power is closer to $206,000 in today's terms. For long-horizon projections, consider using an inflation-adjusted rate (nominal rate minus ~3%) to see your real returns.

03

Confusing nominal rate with effective yield

A 12% annual rate compounded monthly has an effective annual yield of 12.68%. The difference seems small, but over decades it compounds meaningfully. Always check the "Effective yield" stat in the results — that's the true annual return rate for your compounding setup.

04

Treating this as a prediction

This calculator models a smooth, constant return. Real investments are volatile — years of 20%+ gains followed by years of losses. The value of the projection is directional, not precise. Use it to understand the scale of outcomes and the importance of variables, not as a forecast.

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02 · Habit

Savings Growth Calculator

Project the future value of a recurring monthly deposit. Built for retirement contributions, sinking funds, and any habit-based savings plan.

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Inputs
$
%
Compounded monthly.
Results
You contributed
$0.00
Interest earned
$0.00
Compounding curve
Total balance Contributions only
About this calculator

Where the compound interest calculator shows what a single deposit can become, this one answers a different question: what happens when you commit to saving the same amount every single month? That habit — consistent, automated, unremarkable — is how most people actually build wealth. This calculator shows you the math behind it.

The engine is the future value of an annuity formula: FV = PMT × [(1 + i)n − 1] / i, where PMT is your monthly deposit, i is the monthly interest rate, and n is the total number of months. Look at the chart after you calculate — the gap between the gold line (your total balance) and the baseline (what you personally deposited) represents your interest doing the work. Early on, that gap is thin. A decade in, it starts to matter. Two decades in, it often exceeds your own contributions.

The most useful thing you can do with this calculator is experiment with the monthly amount. Try bumping it by $100 or $200 and watch what happens at year 20 or 30. The sensitivity to contribution size, compounded over time, is usually shocking — and highly motivating. This is also the right tool for modeling a 401(k), Roth IRA, or any account where you're making regular contributions toward a long-term balance.

Frequently Asked Questions
Why does interest earn so little in the first few years?
Because the balance is still small. Interest is a percentage of whatever balance exists. A 6% return on $1,000 is $60. The same 6% on $100,000 is $6,000. Once contributions have accumulated for 8–10 years, interest starts generating as much as your own deposits — that's when the curve really bends.
What rate should I use for a 401(k) projection?
Most financial planners use 6–7% for a diversified stock-heavy portfolio adjusted for inflation, or 8–10% in nominal (pre-inflation) terms based on historical S&P 500 averages. Use the lower end for a conservative projection. Your actual return will depend entirely on your fund allocation.
Does the order of deposits (beginning vs. end of month) change the result?
Slightly. This calculator assumes end-of-month deposits (ordinary annuity). If you deposit at the beginning of the month (annuity due), multiply the result by (1 + monthly rate) for the precise answer. Over 30 years at 7%, the difference is roughly one extra month's contribution — meaningful but small relative to other variables.
How much should I be saving per month?
Common guidelines suggest 15–20% of gross income for retirement. But the right number depends entirely on your goals, timeline, existing savings, and expected expenses. Use the Savings Goal calculator alongside this one to work backward from a target rather than forward from a contribution amount.
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Real-world examples
Scenario 1

Contributing $500/month to a 401(k) for 30 years

James starts contributing $500/month to his 401(k) at age 30, invested in a diversified fund averaging 7% annually. He never increases his contribution. What's waiting for him at 60?

Monthly
$500
Rate
7%
Years
30
Total balance
$566,764

James contributed $180,000 of his own money. The remaining $386,764 came from compound interest — more than twice what he put in. This is the power of time combined with consistency.

Scenario 2

$200/month in a high-yield savings account for 5 years

Priya wants to build an emergency fund and starts transferring $200/month to a high-yield savings account earning 4.5% APY. After 5 years, how much has she accumulated?

Monthly
$200
Rate
4.5%
Years
5
Total balance
$13,387

Priya deposited $12,000 and earned $1,387 in interest — a modest but meaningful bonus for choosing the right account type. Had she used a 0.1% standard account, she'd have earned just $30.

Scenario 3

Starting at 40: $1,000/month for 25 years

David didn't start investing until 40 but commits to $1,000/month in an index fund at 8%. He has 25 years until retirement. How far does higher discipline make up for the late start?

Monthly
$1,000
Rate
8%
Years
25
Total balance
$951,026

David contributed $300,000 and earned $651,026 in interest. Starting late but saving aggressively still produces a strong outcome — the lesson is that discipline can partially compensate for time, but not fully replace it.

Common mistakes to avoid
01

Stopping contributions during market downturns

Pausing 401(k) contributions when markets fall is one of the most costly mistakes in personal finance. You're not just missing deposits — you're missing them when prices are low, which means you buy fewer units at discounted prices. The calculator assumes continuous contributions; in reality, stopping even for one year can reduce your final balance by far more than one year's contributions.

02

Not accounting for employer matching

Many 401(k) plans include employer matching — often 50–100% of your contribution up to a certain percentage of salary. This is free money that effectively doubles your contribution rate. If your employer matches 50% up to 6% of salary, your effective rate isn't $500/month — it's $750/month. Always contribute at least enough to capture the full match.

03

Treating the projected balance as an income figure

A projected balance of $500,000 is not $500,000/year in retirement — it's a balance you'll draw down over many years. A common rule of thumb is the 4% withdrawal rate, meaning $500,000 supports roughly $20,000/year in sustainable income. Plan both the accumulation (this calculator) and the distribution accordingly.

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03 · Performance

ROI Calculator

Measure how any investment performed. Enter what you put in and what you got back — see the return as a percentage, a dollar profit, and an annualized rate.

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Inputs
$
$
Include dividends, rent, or any other income received.
yrs
Enables CAGR calculation.
Results
Net profit
$0.00
CAGR
Annualized return
About this calculator

Return on investment is one of the most universal metrics in finance — but a raw percentage only tells part of the story. This calculator gives you both the total ROI and the annualized rate (CAGR), which is the number you actually need when comparing investments held for different lengths of time. A 50% total return looks great, but whether it happened in 2 years or 10 years changes everything.

The math is straightforward: ROI = (Final Value − Initial Cost) ÷ Initial Cost. The CAGR — compound annual growth rate — takes the total return and solves for the constant yearly rate that would have produced it: (Final / Initial)1/years − 1. Both numbers have their place. ROI is useful for a single closed transaction; CAGR is the right benchmark when you want to compare an investment to an index or evaluate your own track record over time.

When entering your final value, include everything you received — sale proceeds, dividends, rental income, coupon payments. Omitting income understates your true return. This calculator doesn't account for taxes or transaction fees; for a net-of-costs return, subtract those from your final value before entering it. The result will then reflect your actual take-home performance, which is the only number that really counts.

Frequently Asked Questions
What's the difference between ROI and CAGR?
ROI is a total return — it measures the entire gain from start to finish, regardless of time. CAGR (Compound Annual Growth Rate) is the hypothetical constant annual return that would have produced that same total gain. CAGR is the right number for comparing investments held for different periods, because it puts them on the same time scale.
Should I include dividends and rental income in the final value?
Yes, for a complete picture. The "final value" field should represent the total economic gain from the investment — the closing price or sale proceeds plus any cash received along the way (dividends, rent, coupon payments). Omitting income understates your true return.
Does this calculator account for taxes or fees?
No — it calculates the gross return. For a net-of-tax, net-of-fees ROI, deduct those costs from your final value before entering it. For example, if you sold an asset for $8,000 but paid $300 in commissions and $500 in capital gains tax, enter $7,200 as the final value.
What's a "good" ROI?
"Good" is always relative to the risk taken and the time held. A CAGR of 7–10% is often cited as the historical average for broad stock market index funds — the benchmark many passive investors use. Any higher CAGR over a long period is exceptional; any lower may still be fine depending on the risk level and asset class.
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Real-world examples
Scenario 1

Buying and selling an index fund position

Lisa invested $8,000 in an S&P 500 index fund in 2019. She sold it for $13,400 in 2024, also receiving $420 in dividends over the period. What was her total return and annualized CAGR?

Invested
$8,000
Final value
$13,820
Held
5 yrs
CAGR
11.55%

Total ROI was 72.75% — but the CAGR of 11.55% is the more meaningful number. It shows she outperformed the long-run S&P average slightly over this particular period. Note: the final value includes dividends ($13,400 + $420 = $13,820).

Scenario 2

Selling a rental property after 7 years

Ahmed bought a rental property for $220,000. He sold it for $310,000 after 7 years. During that time he collected $84,000 in net rental income (after expenses). His total return includes both appreciation and income.

Invested
$220,000
Final value
$394,000
Held
7 yrs
CAGR
8.72%

The final value of $394,000 combines the sale price ($310,000) plus rental income ($84,000). ROI was 79.09% total. Always include income in your ROI calculation — ignoring it would make the return look like only 40.9%.

Scenario 3

Angel investment in a startup

Nina invested $5,000 in a friend's startup at founding. Four years later the company was acquired and she received $31,000. High risk, but what did the math actually look like?

Invested
$5,000
Received
$31,000
Held
4 yrs
CAGR
57.8%

Total ROI was 520% — exceptional, but achieved with significant risk of total loss. The 57.8% CAGR shows why early-stage investing can be so powerful when it works, and why a single successful investment can outweigh several losses.

Common mistakes to avoid
01

Forgetting to include income in the final value

ROI calculated on price appreciation alone understates your true return. Dividends, rental income, interest payments, and any other cash received should be added to the final value. A stock that grew 20% but also paid 3% in dividends each year had a much higher true return than price alone suggests.

02

Comparing total ROI across different time periods

A 50% ROI over 2 years is very different from a 50% ROI over 10 years. Always use CAGR when comparing investments held for different durations. Without annualizing, you can't meaningfully compare performance across your portfolio.

03

Ignoring transaction costs and taxes

Commissions, management fees, and capital gains taxes can significantly reduce your net return. For a precise net ROI, subtract these from your final value before calculating. This is especially important for real estate, where closing costs, agent fees, and improvement costs can be substantial.

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04 · Business

Break Even Calculator

Find the exact units and revenue you need to cover all costs. Essential for any product launch, pricing decision, or business feasibility check.

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Inputs
$
Rent, salaries, software — costs that don't change with volume.
$
What each additional unit costs you to produce or deliver.
$
Results
Break-even revenue
$0.00
At your stated price
Contribution margin
$0.00
Per unit before fixed costs
About this calculator

Break-even analysis answers the most fundamental question in business: how much do I need to sell before I stop losing money? It's not glamorous, but it's the calculation that separates ventures worth pursuing from ones that are structurally impossible — regardless of how hard you work or how good your product is.

The core concept is the contribution margin: the difference between your price per unit and what it costs to produce or deliver that unit. Every sale contributes that margin toward covering your fixed costs. Divide your fixed costs by the contribution margin and you get the break-even point — the minimum number of units you must sell. The formula is simple: Break-Even Units = Fixed Costs ÷ (Price − Variable Cost). Everything beyond that number is profit.

The most revealing thing this calculator can tell you isn't the break-even number itself — it's whether your contribution margin is viable at all. If the margin is negative (meaning each unit costs more to produce than you charge for it), you'll never break even at any volume. That's the calculator telling you to rethink your price or your cost structure before you go any further. And if the break-even volume is realistic given your market, you have a starting point for real planning.

Frequently Asked Questions
How do I classify a cost as fixed vs. variable?
Ask: does this cost change if I sell one more unit? If no — it's fixed (rent, annual software subscriptions, salaries, insurance). If yes — it's variable (raw materials, per-transaction payment fees, packaging, shipping). Some costs are semi-variable (e.g., utilities, extra staffing hours). For simplicity, assign them to whichever category they most resemble, or split them.
What does a "good" contribution margin look like?
It depends heavily on the industry. Software products often have 70–90%+ margins (low variable costs). Physical goods typically run 30–60%. Grocery retail might be 20–30%. The margin doesn't need to be "high" — it needs to be high enough that you can cover your fixed costs at a volume you can realistically achieve.
Can I use this for a service business instead of a product?
Absolutely. Define "units" as billable hours, clients, or projects. Variable cost per unit is the direct cost of delivering one unit of service (your time at an opportunity cost, materials, subcontractor fees). Fixed costs are your overhead. The math is identical.
Break-even tells me when I stop losing money — how do I calculate profit after that?
Every unit sold beyond break-even generates profit equal to the contribution margin. So if your contribution margin is $35 and you sell 200 units beyond break-even, your profit is $7,000. To target a specific profit, add it to your fixed costs before dividing: (Fixed Costs + Target Profit) ÷ Contribution Margin.
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Real-world examples
Scenario 1

Selling a digital course online

Carlos creates an online course priced at $149. His fixed costs (platform fees, marketing tools, software subscriptions) are $800/month. Each sale has minimal variable costs — just payment processing at ~$5/sale.

Fixed costs
$800
Variable/unit
$5
Price
$149
Break-even
6 sales

With a contribution margin of $144 per sale, Carlos needs just 6 sales/month to cover all costs. Every sale beyond that is $144 profit. Digital products have high margins — the break-even is often surprisingly low.

Scenario 2

A coffee shop's monthly break-even

A small café has fixed monthly costs of $12,000 (rent, staff, utilities). Each coffee costs $1.20 in ingredients and is sold for $5.50. How many coffees must they sell per month to cover costs?

Fixed costs
$12,000
Variable/unit
$1.20
Price
$5.50
Break-even
2,791 cups

That's about 93 cups per day. The 43% contribution margin ($4.30/$5.50) is decent for food service, but the high fixed costs mean volume matters enormously. A 10% price increase would reduce the break-even to ~2,523 cups.

Scenario 3

A freelance consultant setting their hourly rate

Sara freelances full-time. Her monthly fixed costs (desk, tools, insurance, taxes set aside) are $3,500. She has no variable costs per client hour beyond her time. She charges $120/hour. How many billable hours does she need?

Fixed costs
$3,500
Variable/hr
$0
Rate/hr
$120
Break-even
30 hrs

Sara only needs 30 billable hours/month (~7.5 hours/week) to cover her costs. Everything beyond that is profit. This is why high-rate service businesses with low variable costs can be very profitable with relatively modest client loads.

Common mistakes to avoid
01

Misclassifying costs as fixed when they're variable

A common error is treating your own labor as a fixed cost when it's actually variable (you work more when you sell more). Similarly, shipping costs, credit card processing fees, and per-client software licenses are variable. Misclassifying them overstates your contribution margin and produces an unrealistically low break-even number.

02

Setting price equal to cost and wondering why there's no profit

If your price barely exceeds your variable cost, the contribution margin is tiny — meaning you need enormous volume to cover fixed costs. A $1 margin on a product with $5,000 in fixed costs requires 5,000 units just to break even. Price for a healthy margin first, then check if the resulting volume is achievable.

03

Treating break-even as the goal

Break-even is the floor, not the target. You need to sell substantially more than break-even to generate a return on your time and investment. Calculate the sales volume needed to hit your target profit: (Fixed Costs + Target Profit) ÷ Contribution Margin. That's the real number to plan around.

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05 · Planning

Savings Goal Calculator

Pick a target — a down payment, emergency fund, or sabbatical fund — and see exactly how long it takes to get there at your current pace.

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Inputs
$
$
$
%
Use 0% to ignore interest. Use your bank's APY otherwise.
Results
Estimated date
Your milestone month
You'll contribute
$0.00
About this calculator

There's a big difference between "saving for a house someday" and "I'll have my down payment by March 2028." This calculator makes the second kind of thinking possible. Give it a target, your current savings, what you can add each month, and the interest rate you're earning — and it tells you exactly when you'll get there.

Under the hood, it solves for time using the compound savings formula, accounting for both your existing balance growing with interest and your new contributions compounding alongside it. The result is a concrete number of months, a calendar date, and a breakdown of how much of the final balance came from you versus from interest. That last figure is often a small but meaningful bonus — especially if you've moved your savings to a high-yield account.

The most useful thing to do with this calculator is adjust the monthly contribution and watch the timeline shrink. Adding $200/month often cuts the timeline by a surprising amount — because you're not just depositing more, you're also earning interest on more for longer. If the result says "Never," it means your contribution is mathematically insufficient to ever close the gap. That's the calculator being honest: increase the contribution, lower the target, or find a higher-yield account. There's no other way through.

Frequently Asked Questions
What should I enter for the interest rate?
Use your account's Annual Percentage Yield (APY). High-yield savings accounts in 2024–2025 often offered 4–5% APY. Money market accounts were similar. If your savings sit in a standard bank account earning 0.01%, that's the honest number to enter — and it will show you exactly how much that low rate is costing you in time.
The result says "Never" — what do I do?
"Never" appears when your monthly contribution is mathematically insufficient to ever reach the target, usually because a very low interest rate means the gap grows faster than you fill it — or you've set a contribution of zero. Increasing the monthly contribution is the most powerful lever. Raising the interest rate (by moving to a higher-yield account) also helps. Lowering the target is a third option.
Should I include my emergency fund in "current savings"?
Only if you're willing to count it toward this goal. It's usually better practice to keep your emergency fund separate and not include it — that way your calculation stays honest about how much of your dedicated savings is working toward this specific target.
Can I use this to figure out how much to save per month for a deadline?
Yes — just adjust the monthly contribution field until the "Time to goal" matches your deadline. It's a quick trial-and-error process. For example, if you need $30,000 in 36 months starting from $5,000 at 4% APY, you'd increase the monthly contribution until the time shows approximately 36 months.
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Real-world examples
Scenario 1

Saving for a $60,000 house down payment

Tom and Emma want to buy a home. They need $60,000 for a 20% down payment, currently have $8,000 saved, and can put away $1,200/month in a high-yield savings account at 4.6% APY.

Target
$60,000
Current
$8,000
Monthly
$1,200
Time to goal
~38 months

About 3 years and 2 months. If they boosted contributions to $1,500/month, the timeline drops to ~30 months — 8 months saved just by finding an extra $300/month. The interest earned covers roughly 2 months of contributions.

Scenario 2

Building a 6-month emergency fund

Rachel's monthly expenses are $3,800. She wants a 6-month emergency fund ($22,800). She has $4,000 saved and can contribute $600/month to a savings account at 4.2% APY.

Target
$22,800
Current
$4,000
Monthly
$600
Time to goal
~30 months

About 2.5 years to full financial safety net. Rachel often wonders if she should invest instead of saving — but an emergency fund in a high-yield account at 4%+ is itself a reasonable short-term return with zero risk.

Scenario 3

Saving for a $15,000 sabbatical trip

Miguel wants to take 3 months off to travel. He estimates he needs $15,000, has $2,500 put aside already, and can save $400/month in an account earning 3.8% APY.

Target
$15,000
Current
$2,500
Monthly
$400
Time to goal
~30 months

Miguel will reach his travel fund in about 2.5 years. The calculator also tells him his estimated departure date — which is surprisingly motivating. Having a concrete date converts a vague dream into a plan.

Common mistakes to avoid
01

Using a savings rate that's too optimistic

Most people overestimate how much they can consistently save each month. Unexpected expenses, lifestyle inflation, and irregular months mean your actual average contribution is usually 10–20% lower than your planned amount. Build a buffer into your monthly contribution estimate, or use a slightly conservative figure and be pleasantly surprised.

02

Leaving savings in a low-yield account

The difference between 0.1% and 4.5% APY on a $20,000 balance over 3 years is roughly $2,700 in lost interest. For any goal more than 6 months away, a high-yield savings account, money market account, or short-term CD is almost always a better choice than a standard checking or savings account.

03

Not revisiting the calculation when circumstances change

Your income increases, your expenses change, interest rates move. A savings plan set 2 years ago may now be ahead of or behind schedule. Recalculate every 6–12 months with your current balance, rate, and contribution amount to stay accurately on track.

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06 · Forecast

Investment Return Calculator

Year-by-year projection of any investment compounding at a fixed annual rate. The detailed table makes long-term compounding tangible.

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Inputs
$
%
Use a realistic long-term average for your asset class.
Results
Total gain
$0.00
Multiple of original
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How many times your money grew
Year-by-year breakdown
Year Opening balance Annual gain Closing balance Cumulative gain
About this calculator

This calculator does something the compound interest summary can't: it shows you where your gains actually come from, year by year. Enter an initial investment, an annual rate, and a time horizon — and you get a full ledger. Every row shows the opening balance, that year's gain, the closing balance, and the cumulative total. Scroll to the bottom, then look at the last 5 or 6 rows. That's where the story is.

The math compounds annually: each year's gain is a percentage of the prior year's closing balance, not the original principal. That's why the annual gain column keeps growing. In year 1 of a $25,000 investment at 8%, you earn $2,000. In year 25, you're earning over $12,000 — from the same original investment, with nothing added. That acceleration is the entire point, and the table makes it undeniable in a way a single final number never quite does.

Use this calculator when you're evaluating a one-time lump sum — a bonus, an inheritance, a property sale, or a retirement rollover. If you want to layer in ongoing monthly contributions on top of a lump sum, run this calculator and the Savings Growth calculator separately, then add the two final values together. Between the two, you'll have a complete picture of any long-term investment plan.

Frequently Asked Questions
How is this different from the Compound Interest calculator?
They model the same underlying math for a lump sum, but this calculator generates a complete year-by-year table rather than just a summary. The table makes the distribution of gains over time visible — you can see exactly how much you earn in year 1 vs. year 25. The Compound Interest calculator also lets you adjust compounding frequency (daily, monthly, etc.), while this one compounds annually.
What rate should I use for a realistic long-term projection?
For a broad US stock market index fund, historical long-run nominal returns have averaged around 10% before inflation and 7% after. Bonds have historically returned 2–4% real. A balanced portfolio (60/40 stocks/bonds) might project around 5–7% real. Use a conservative rate for planning — it's better to be pleasantly surprised than disappointed.
Why does so much growth happen in the final years?
Because the annual gain is a percentage of an ever-larger balance. In year 1, 8% on $25,000 is $2,000. In year 25, 8% on $150,000+ is $12,000+. Each year's gain is larger than all prior years' gains combined, proportionally. This is the exponential function at work — and why patience is the most valuable ingredient in long-term investing.
Can I add ongoing contributions to this projection?
This calculator models lump-sum investments only. For ongoing monthly contributions, use the Savings Growth calculator. For the most complete picture, run both: the Investment Return calculator for your existing lump sum, and the Savings Growth calculator for your planned monthly contributions, then add the final values together.
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Real-world examples
Scenario 1

Rolling over a $45,000 old 401(k)

When changing jobs, Anna rolls her old 401(k) balance of $45,000 into an IRA invested in index funds returning 7% annually. She's 35. What does it grow to by retirement at 65?

Initial
$45,000
Rate
7%
Years
30
Final value
$342,582

$45,000 grows to $342,582 without Anna adding another dollar — purely from 30 years of compounding. This illustrates why rolling over old 401(k)s rather than cashing them out (and paying penalties and taxes) is almost always the right choice.

Scenario 2

Investing a $30,000 inheritance for 20 years

Ben inherits $30,000 and decides to invest it rather than spend it. He puts it in a balanced portfolio averaging 6.5% annually. He doesn't need the money for 20 years.

Initial
$30,000
Rate
6.5%
Years
20
Final value
$105,184

Ben's inheritance more than triples. The year-by-year table shows that years 15–20 generate more growth than years 1–10 combined — $40,000 of the $75,000 gain comes in the final 6 years. Patience is not just a virtue; it's a compounding strategy.

Scenario 3

Conservative (4%) vs. aggressive (10%) over 25 years

Same $20,000 starting amount. One investor puts it in bonds averaging 4%; another accepts more risk in equities averaging 10%. After 25 years, how large is the gap?

Initial
$20,000
4% result
$53,317
10% result
$216,694
Difference
$163,377

A 6% difference in annual return produces a $163,000 gap from the same $20,000 over 25 years. This is not an argument for recklessness — risk is real — but it shows why understanding your expected return matters enormously for long-horizon planning.

Common mistakes to avoid
01

Assuming a constant rate is what you'll actually get

This calculator assumes the same return every single year. Real markets deliver 20% one year and -30% the next. The average matters over long periods, but sequence of returns matters too — particularly near retirement, when a large early loss can permanently impair your balance. Use this for direction and scale, not as a guarantee.

02

Cashing out investments early and losing the compounding runway

Withdrawing from a long-term investment early doesn't just cost you the amount withdrawn — it costs you all the future compounding on that amount. $10,000 withdrawn at year 5 of a 25-year investment at 8% costs you not $10,000 but closer to $46,600 in lost future value. The table makes this concrete: look at what any given year's closing balance becomes by the end.

03

Not accounting for investment fees

A 1% annual management fee sounds trivial but reduces a 8% return to 7% — and over 25 years on $30,000, that single percentage point costs over $70,000 in final balance. Always subtract your fund's expense ratio from your expected return before projecting. This is one of the strongest arguments for low-cost index funds.

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Financial Basics

The concepts behind
every calculator.

You don't need a finance degree to make good money decisions — but a handful of core concepts will make every calculator on this site more useful and every financial conversation less intimidating.

Compound Interest

Compound interest means earning interest on your interest. When you deposit money and leave it alone, the interest it earns in year 1 becomes part of your balance — and earns its own interest in year 2. This cycle accelerates over time, producing the characteristic exponential curve on the growth chart.

A = P × (1 + r/n)^(n×t)

P = principal · r = annual rate · n = compounds per year · t = years

The most important insight: time has more impact than rate. Doubling your rate is great, but doubling your time horizon produces a far larger outcome. This is why starting early — even with small amounts — consistently outperforms starting late with larger amounts.

Return on Investment (ROI)

ROI measures how much money an investment made relative to what it cost. A 50% ROI means you earned $0.50 for every $1 invested. Simple and universal — it works for stocks, real estate, businesses, or any decision where you put money in and got money back.

ROI = (Final Value − Initial Cost) ÷ Initial Cost × 100

The limitation of simple ROI is that it ignores time. A 50% return over 2 years is dramatically better than 50% over 10 years. That's why CAGR (Compound Annual Growth Rate) is the preferred metric for comparing investments — it converts any total return into an annualized rate, putting everything on the same scale.

Future Value & Present Value

Future Value (FV) is what a sum of money today will be worth after growing at a given rate for a given time. Present Value (PV) is the reverse: what a future sum is worth in today's dollars, discounted for time and opportunity cost. Both concepts underpin every calculator on this site.

FV = PV × (1 + r)^t

Present value thinking is especially useful for evaluating big future expenses. If you'll need $100,000 in 15 years and expect to earn 7% on investments, the present value of that need is only about $36,245 — meaning you need to invest roughly $36,000 today, or build up to it with regular contributions.

Annuities & Regular Savings

An annuity is a series of equal payments made at regular intervals. When you deposit $500/month into a savings account or 401(k), you're building an ordinary annuity. The future value formula for annuities accounts for both the contributions and the compounding interest earned on each one.

FV = PMT × [(1 + i)^n − 1] ÷ i

PMT = monthly payment · i = monthly rate · n = total months

What makes annuities powerful is that each contribution has a different compounding runway — your first deposit compounds for the full period, while your last deposit earns almost nothing. The early contributions do the heavy lifting, which is why increasing your savings rate in early years has an outsized effect on your final balance.

Break-Even Analysis

Break-even analysis separates costs into two types: fixed costs (rent, salaries, subscriptions — paid regardless of sales volume) and variable costs (materials, transaction fees — paid per unit sold). The difference between price and variable cost is called the contribution margin — how much each sale contributes toward covering fixed costs.

Break-Even Units = Fixed Costs ÷ (Price − Variable Cost)

Once you've sold enough units to cover all fixed costs, you've broken even. Every unit beyond that generates profit equal to the contribution margin. This framework applies to any business, product, freelance service, or project — and it's the first calculation any entrepreneur should run before committing to a venture.

The Time Value of Money

The single most important principle in finance: a dollar today is worth more than a dollar tomorrow. This is true for three reasons — money today can be invested to earn returns, inflation erodes purchasing power over time, and the future is uncertain. Every financial decision, at its core, involves weighing present costs against future benefits (or present benefits against future costs).

This principle explains why paying off high-interest debt immediately is almost always the right move (the "return" on paying off 20% credit card debt is a guaranteed 20%), why investing early beats investing more later, and why a dollar of savings in your 20s is worth far more than a dollar saved in your 40s. Understanding time value of money is the foundation for every financial decision you'll ever make.

Interest Rates: Nominal vs. Effective

A nominal interest rate is the stated rate — the number advertised by a bank or printed on a bond. The effective annual rate (EAR) is the actual rate you earn after accounting for compounding frequency. A 12% nominal rate compounded monthly has an effective rate of 12.68%.

EAR = (1 + r/n)^n − 1

For savings accounts, the effective rate is usually expressed as APY (Annual Percentage Yield) — this is always the more accurate number to use when comparing accounts. For loans, lenders typically advertise the nominal APR; the effective cost after compounding is higher. Always compare APY to APY and APR to APR.

Risk, Return, and Diversification

In finance, higher expected returns almost always come with higher risk — the chance of a worse outcome. A savings account at 4.5% offers near-certainty; a stock portfolio at 10% comes with years of significant losses along the way. Neither is universally "better" — the right answer depends on your timeline, your temperament, and your need for the money.

Diversification reduces risk without necessarily reducing expected return — by spreading investments across different assets, industries, and geographies, you ensure that no single bad outcome destroys your portfolio. This is the core argument for index funds: broad diversification at low cost, capturing the market's long-run return without betting on individual companies.

The calculators on this site use a single constant rate — which is a simplification. Real investing involves volatility, sequence risk, and uncertainty. Use these tools to understand direction and magnitude, then consult a financial advisor for a personalized plan that accounts for your actual risk tolerance.

How much of my income should I save?
The most cited guideline is 15–20% of gross income for retirement, plus 3–6 months of expenses in an emergency fund before investing aggressively. The right number depends entirely on your goals, timeline, income stability, and existing obligations. A simpler starting rule: save 1% more than you think you can, and automate it so you never see it. Start there and increase by 1% per year.
Should I pay off debt or invest?
It depends on the interest rate. High-interest debt (credit cards at 18–25%) should almost always be paid off first — the guaranteed "return" of eliminating 20% interest beats virtually any investment. Low-interest debt (mortgages at 3–5%) can be carried while investing, especially if you expect investment returns to exceed the interest rate. Student loans at 6–8% are the grey area where the math is close and personal preference matters. Always capture employer 401(k) matching first — it's an instant 50–100% return.
What's a realistic long-term investment return to expect?
The US stock market (S&P 500) has historically returned roughly 10% nominally and 7% inflation-adjusted over long periods. Bonds have returned 2–4% real. A balanced 60/40 portfolio has historically returned around 5–7% real. These are long-run averages — any single decade can look very different. For conservative planning, use 5–7%; for stress-testing optimistic scenarios, use 9–10%. Never use anything above 12% for serious planning.
What's the difference between a savings account and an investment account?
A savings account (especially a high-yield savings account) is low-risk, FDIC-insured, and liquid — your money is safe and accessible. Returns are modest (3–5% currently). An investment account holds stocks, bonds, or funds — higher expected returns over the long run, but with volatility and no insurance. Rule of thumb: money you'll need within 3–5 years belongs in savings; money you won't touch for 5+ years can be invested for growth.
What is inflation and how does it affect these calculations?
Inflation is the general rise in prices over time — historically around 2–3% per year in the US. It means $100 today will buy less in 10 years. For long-term projections, the distinction between nominal returns (before inflation) and real returns (after inflation) matters significantly. A projected balance of $500,000 in 30 years has a real purchasing power closer to $200,000–$250,000 in today's terms. For meaningful long-term planning, use inflation-adjusted (real) return rates.
About Capitalize

Built for people who take
money seriously.

Capitalize is a set of free, focused financial calculators built without ads cluttering the tools, without signup walls, and without any agenda beyond helping you understand the math behind your money decisions.

Why we built this

Most financial calculator sites are covered in pop-up ads, "talk to an advisor" prompts, and dark patterns designed to capture your email. We built Capitalize because we wanted the opposite: tools that load instantly, run in your browser with no data sent anywhere, and give you a straight answer.

What these tools are for

These calculators are educational instruments — they help you build intuition about how money compounds, how returns are measured, and how plans hold up to scrutiny. They are not a substitute for professional financial advice, and they don't pretend to be.

Who uses Capitalize

Young professionals starting their first retirement contribution. Entrepreneurs stress-testing a pricing model. Parents saving for a down payment. Students learning personal finance. Anyone who wants clean math without the noise.

How the calculators work

Every calculator runs entirely in your browser using standard financial formulas. No data is sent to a server. No account is required. Results update live as you type. The math is explained in the "Understanding" sections on each tool page.

01

No friction

No signups, no pop-ups, no required fields other than your inputs. Open the tool, use it, leave. That's the whole experience.

02

Honest math

We use standard textbook formulas, explain each one, and flag when a result is impossible (e.g., a savings goal you can never reach at your current pace).

03

Fast everywhere

Loads on a $50 Android phone on a slow connection. No JavaScript frameworks, no giant bundles. Just HTML, CSS, and vanilla JS.

04

Ad-friendly but not ad-driven

We support the site with advertising. Ads appear above and below calculators — never inside them or interrupting your calculation flow.

05

Educate, don't advise

We explain what the numbers mean and how to interpret them. We do not tell you what to do with your money — that's what licensed financial advisors are for.

06

Always free

Every tool on this site is free to use, forever, with no limitations. Financial literacy tools should be accessible to everyone.

Is Capitalize free to use?
Yes, completely. Every calculator on this site is free with no usage limits, no premium tier, and no required account. The site is supported by advertising that appears outside the calculator areas.
Do you store my data or send it to a server?
No. All calculations run entirely in your browser. Nothing you enter is transmitted to any server. When you close the tab, nothing is retained. We have no database of user inputs.
Are these results financial advice?
No. Capitalize is an educational tool. The calculators apply standard mathematical formulas to the numbers you provide. They do not account for your personal tax situation, risk tolerance, debt obligations, or life circumstances. For personalized financial planning, consult a licensed financial advisor or certified financial planner (CFP).
How accurate are the calculations?
The math is precise — the formulas are standard and the calculations are exact given the inputs. What may differ from reality is the inputs themselves: real investment returns vary year by year, inflation changes purchasing power, and life rarely follows a straight line. Use these tools to understand ranges and directions, not to predict the future with precision.
Which calculator should I use?
Use Compound Interest for a one-time deposit at a fixed rate. Use Savings Growth for recurring monthly deposits toward an open-ended future balance. Use Savings Goal when you have a specific dollar target and want a timeline. Use Investment Return for a year-by-year lump-sum projection. Use ROI to evaluate a closed or near-closed position. Use Break Even for any business or product viability question.
Can I use Capitalize on my phone?
Yes. The entire site is built mobile-first. All layouts adapt to narrow screens, inputs use the correct mobile keyboard types (numeric, decimal), and the tab navigation scrolls horizontally on small displays.

Important Disclaimer

Capitalize provides financial calculators for educational and informational purposes only. All results are based on mathematical models using the inputs you provide and assumed constant rates of return. Real-world investment returns vary and are not guaranteed. This site does not provide financial, investment, tax, or legal advice. Always consult a qualified financial professional before making significant financial decisions.