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CompoundFigFree Compound Interest & Investment Growth Calculators for Long-Term Wealth Planning

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Quick note: All outputs are educational estimates, not financial advice. Consult a qualified professional for personal decisions.

Compound Interest Calculator

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Compound Interest

Investment

Track exponential growth of your savings and investments over time.

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Compound interest is the eighth wonder of the world. It magnifies savings exponentially, turning modest monthly contributions into substantial nest eggs over a working career.

Core Formula

A = P(1 + r/n)^(nt) + PMT × [((1 + r/n)^(nt) − 1) / (r/n)]

FAQ

  • Q: How often should I compound?
    Daily compounding yields slightly more than monthly, but the gap is small for most savers. Focus on the rate and consistency of contributions.
  • Q: Is compound interest taxable?
    Interest is taxed as ordinary income unless held in a tax-advantaged account like an IRA or 401(k). Consult a tax professional for your situation.

DCA (Dollar-Cost Averaging)

Investment

Simulate dollar-cost averaging strategy across regular intervals.

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DCA reduces timing risk by spreading purchases across market conditions. See how disciplined monthly investing compares with lump-sum deployment across historical periods.

Core Formula

Avg. Cost = Total Invested / Total Shares Acquired

FAQ

  • Q: Is DCA better than lump sum?
    Over long horizons, lump-sum investing typically outperforms DCA. DCA excels when markets are volatile or when you inherit capital gradually.
  • Q: What interval should I use?
    Weekly or monthly rebalancing works well for most long-term investors. Keep the schedule consistent to remove emotion.

Rule of 72

Investment

Estimate how many years it takes to double your money.

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The Rule of 72 is a mental shortcut for doubling time. Divide 72 by your annual return to estimate how many years it takes for an investment to double in value.

Core Formula

Years to Double ≈ 72 / Annual Return (%)

FAQ

  • Q: How accurate is the Rule of 72?
    It is most accurate for returns between 6% and 10%. Outside that range the Rule of 73 or logarithmic math is more precise.
  • Q: Does inflation affect the rule?
    Yes. Subtract the inflation rate from your nominal return to estimate real purchasing-power doubling time.

CAGR Calculator

Investment

Measure annualized growth rate of any investment.

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CAGR (Compound Annual Growth Rate) smooths multi-period performance into a single number, making it easier to compare different investments or benchmark returns over the same window.

Core Formula

CAGR = (Final / Initial)^(1/years) − 1

FAQ

  • Q: What is a good CAGR?
    The S&P 500 averages roughly 10% annually before inflation. A 7–9% real CAGR is excellent for a diversified long-term portfolio.
  • Q: Why doesn't CAGR reflect volatility?
    CAGR ignores the path of returns. Two investments with the same CAGR can have very different risk profiles.

Inflation Impact

Investment

See how purchasing power erodes over time.

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Inflation silently erodes purchasing power. Even at 3% annual inflation, $100,000 today buys only about $55,000 worth of goods in 20 years.

Core Formula

Real Value = Nominal / (1 + inflation)^years

FAQ

  • Q: What is the average US inflation rate?
    Historically, US inflation averages around 3% per year, though it varies significantly across decades.
  • Q: How do I hedge against inflation?
    Assets like stocks, real estate, and TIPS have historically provided inflation protection over long horizons.

DRIP Calculator

Investment

Project dividend reinvestment growth over time.

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Dividend Reinvestment Plans (DRIPs) compound returns automatically by using dividends to purchase additional shares, creating a snowball effect for long-term holders.

Core Formula

Future Value = Initial × (1 + (yield + growth))^years

FAQ

  • Q: Are DRIPs worth it?
    For long-term investors, DRIPs harness compounding without additional effort or transaction costs in many brokerage programs.
  • Q: How are DRIP dividends taxed?
    Reinvested dividends are still taxable in the year received, unless held in a tax-advantaged account.

Investment Growth

Investment

Model investment portfolio growth with recurring contributions.

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See how a diversified investment portfolio grows over time with regular monthly contributions. Perfect for modeling long-term brokerage account growth.

Core Formula

FV = PV × (1 + r)^n + PMT × [((1+r)^n - 1) / r]

FAQ

  • Q: What return should I assume?
    Most planners use 6-8% nominal returns for diversified equities over long horizons, with 4-5% for conservative portfolios.
  • Q: Should I model inflation?
    Yes. To get real purchasing power, subtract 2-3% from your nominal return to account for historical inflation.

Daily vs Monthly Compound

Investment

Compare daily vs monthly compounding frequency returns.

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Compounding frequency matters — but not as much as you think. See the exact gap between daily, monthly, quarterly, and annual compounding for your specific numbers.

Core Formula

A_daily = P(1 + r/365)^(365t) vs A_monthly = P(1 + r/12)^(12t)

FAQ

  • Q: How much more does daily compounding give?
    For typical savings rates (3-5%), daily compounding adds a tiny fraction of a percent per year compared to monthly compounding.
  • Q: Do all banks use daily compounding?
    Most high-yield savings accounts now use daily compounding, but CDs may use monthly or quarterly. Always check the fine print.

Recurring Deposit Compound

Investment

Calculate growth of regular recurring deposits with compounding.

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Recurring deposits combine regular saving discipline with the power of compounding. See how even modest monthly sums grow into meaningful wealth over decades.

Core Formula

FV = PMT × [((1 + r/n)^(nt) - 1) / (r/n)]

FAQ

  • Q: Is recurring deposit better than lump sum?
    Mathematically, lump-sum investing earlier typically outperforms. Recurring deposits excel for savers building capital gradually from paychecks.
  • Q: What compounding frequency is best?
    Higher frequencies (daily > monthly > quarterly) produce slightly more return, but the contribution amount and timeline matter far more.

Lump Sum vs Monthly Investment

Investment

Compare lump-sum investing versus gradual monthly contributions.

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Got a windfall? Should you deploy it all at once, or dollar-cost-average it in over months? This tool runs both strategies side-by-side for your scenario.

Core Formula

Compare: Lump Sum FV vs DCA Monthly FV over same period

FAQ

  • Q: Which strategy wins statistically?
    Studies show lump-sum outperforms DCA roughly 2/3 of the time over long horizons, because markets generally rise over time.
  • Q: Why do people still prefer DCA?
    Psychology. DCA reduces the regret of investing right before a crash. For large emotional windfalls, DCA can be the rational emotional choice.

Interest Rate Comparison

Investment

See how different interest rates impact long-term savings growth.

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A 1% difference in annual return sounds small — but over 30 years it can mean hundreds of thousands of dollars. Visualize the gap between different rate scenarios.

Core Formula

Compare: A = P(1 + r1)^t vs A = P(1 + r2)^t ... vs A = P(1 + rn)^t

FAQ

  • Q: How much does 1% extra return matter?
    Over 30 years, 1% extra return on $10,000 grows from $81,156 (at 7%) to $108,347 (at 8%) — that's $27,000 more from just 1%.
  • Q: Is chasing higher returns always better?
    No. Higher returns typically come with higher volatility and risk of permanent loss. Only chase returns you are actually compensated for taking.

Savings Growth

Personal Finance

Track savings account growth with regular deposits.

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Whether you're saving in a high-yield savings account, money market, or CD, see exactly how regular deposits compound toward your goals.

Core Formula

FV = Initial × (1+r)^t + Monthly × [((1+r)^t - 1) / r]

FAQ

  • Q: What's a good savings rate today?
    As of 2026, high-yield savings accounts offer 4-5% APY. Shop around — online banks typically pay 10x more than traditional brick-and-mortar.
  • Q: Should I save or invest extra cash?
    Keep 3-6 months of expenses in savings for emergencies. Anything beyond that time horizon should generally be invested for higher long-term returns.

Wealth Goal Timeline

Personal Finance

Calculate how long it will take to reach any savings target.

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Working toward $100K, $500K, $1M, or $5M? Tell us your current savings, monthly commitment, and expected return — then see the exact timeline.

Core Formula

Solve for t: Goal = Current × (1+r)^t + Monthly × [((1+r)^t - 1) / r]

FAQ

  • Q: How realistic is a 10% return assumption?
    The US stock market averaged ~10% nominal returns over the last century. Use 6-8% as a more conservative planning number for the next 20-30 years.
  • Q: What's the fastest way to reach my goal?
    Three levers: increase monthly savings, earn a higher (but prudent) return, or reduce the target. Savings rate is the one you control most directly.

401(k) Planner

Retirement

Maximize your employer match and annual contributions.

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A 401(k) is one of the most powerful retirement vehicles — combining tax-deferred growth with an employer match, which is essentially free money. Aim to contribute enough to capture the full match.

Core Formula

Total Annual = Your Contribution + Employer Match

FAQ

  • Q: What is the 2026 401(k) contribution limit?
    For 2026, the employee contribution limit is $23,500, with a $7,500 catch-up for those 50+. Total annual additions cap is $69,000.
  • Q: Should I prioritize match over debt payoff?
    At minimum, contribute up to the match — it delivers an instant, risk-free return that is difficult to match elsewhere.

Roth IRA Calculator

Retirement

Estimate tax-free growth with a Roth IRA.

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Roth IRAs offer tax-free withdrawals in retirement in exchange for paying taxes upfront. Young earners with long horizons benefit most from the tax-free compounding.

Core Formula

Tax-Free Future Value = Annual Contribution × FV factor

FAQ

  • Q: Roth vs Traditional IRA — which wins?
    It depends on your current vs expected future tax bracket. Young earners often prefer Roth; high earners near retirement may favor Traditional.
  • Q: What is the 2026 Roth IRA income limit?
    For 2026, Roth IRA contributions phase out for single filers earning above ~$146,000 and joint filers above ~$230,000.

IRA Comparison

Retirement

Compare Traditional, Roth, and SEP IRAs side-by-side.

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Different IRAs offer different tax treatments, contribution limits, and eligibility rules. Use this tool to model side-by-side outcomes for your specific tax bracket and timeline.

Core Formula

FV_TaxFree vs FV_Taxable with drawdown taxes

FAQ

  • Q: Can I have multiple IRAs?
    Yes. You can own multiple IRAs, though annual contribution limits apply across all IRA accounts in aggregate.
  • Q: Should I convert Traditional to Roth?
    A Roth conversion can make sense if you expect your tax rate to rise, or if you have a year with unusually low taxable income.

Retirement Gap

Retirement

Find your nest egg target and current shortfall.

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Your retirement gap is the difference between your projected savings and what you will actually need to maintain your desired lifestyle. Closing it requires disciplined saving and investing today.

Core Formula

Gap = Target Nest Egg − Projected Savings

FAQ

  • Q: How much income do I need in retirement?
    A common benchmark is 70–80% of pre-retirement income. Adjust for expected healthcare costs, travel, and downsizing.
  • Q: What is the 4% rule?
    The 4% rule suggests withdrawing 4% of your nest egg annually, adjusted for inflation, to sustain a 30-year retirement with high probability of success.

FIRE Calculator

Retirement

Model your Financial Independence, Retire Early path.

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FIRE combines aggressive saving, disciplined investing, and a low-expense lifestyle to reach financial independence potentially decades before the traditional retirement age.

Core Formula

FIRE Number = Annual Expenses × 25 (4% rule)

FAQ

  • Q: How much do I need to retire early?
    A common FIRE target is 25× your annual expenses. Lean FIRE, Fat FIRE, and Coast FIRE each adjust the target based on lifestyle goals.
  • Q: What rate of return should I assume?
    Most FIRE planners use 6–7% real (after-inflation) long-term equity returns, stress-testing with 4–5% to be conservative.

Retirement Savings

Retirement

Project your retirement nest egg from today through retirement age.

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The standard retirement calculator: current age, target retirement age, current savings, monthly contributions, and expected return. Watch the numbers grow year by year.

Core Formula

FV = Current × (1+r)^n + Monthly × [((1+r)^n - 1) / r] (monthly compounded)

FAQ

  • Q: What is the safe withdrawal rate?
    The classic 4% rule has been validated for 30+ year retirements. More conservative retirees target 3-3.5% for longer horizons or bequest goals.
  • Q: Should I include Social Security?
    Yes. Social Security is the base layer of retirement income for most Americans. Add it after modeling your personal savings nest egg.

Retirement Nest Egg

Retirement

Project your retirement nest egg and safe monthly withdrawals.

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Build your target retirement nest egg and see exactly how much you can safely withdraw each month using the classic 4% rule or custom rates.

Core Formula

Safe Monthly = (Nest Egg × Withdrawal Rate) / 12

FAQ

  • Q: How do healthcare costs factor in?
    Plan for $300K+ in out-of-pocket healthcare costs in retirement (per couple) above what Medicare covers. Factor this into your expenses.
  • Q: Should I pay off my mortgage before retiring?
    Not necessarily mathematically optimal if your mortgage rate is low, but it dramatically reduces sequence-of-return risk and simplifies retirement cash flow.

IRA Investment Growth

Retirement

Model tax-advantaged IRA growth from now until retirement.

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Whether Traditional or Roth, IRAs are powerful tax-advantaged vessels for long-term retirement growth. See how consistent contributions compound tax-free for decades.

Core Formula

FV = Current × (1+r)^n + Monthly × [((1+r)^n - 1) / r]

FAQ

  • Q: What is the 2026 IRA contribution limit?
    $7,000 for those under 50, plus $1,000 catch-up contribution at age 50+. Limits apply across Traditional + Roth IRA combined.
  • Q: Can I contribute to both IRA and 401(k)?
    Absolutely. You can max out both a 401(k) and an IRA in the same year, which is the gold standard for retirement savers.

Social Security

Retirement

Estimate your future Social Security benefits.

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Social Security is a foundation of retirement income for most Americans. The benefit depends on your earnings history, full retirement age, and the year you begin claiming.

Core Formula

Benefit = AIME × PIA factors adjusted for claiming age

FAQ

  • Q: When should I take Social Security?
    Delaying beyond full retirement age increases your benefit by roughly 8% per year until age 70. Breakeven analysis depends on your health and longevity expectations.
  • Q: What is the full retirement age?
    For most current workers, full retirement age is 66–67, depending on birth year. Check the Social Security Administration's table for your cohort.

Personal Loan

Personal Finance

Calculate monthly payments and total interest.

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Personal loans are unsecured debt with fixed monthly payments. Use this tool to evaluate offers, compare total interest across different APRs and terms, and decide if refinancing makes sense.

Core Formula

M = P × r(1+r)^n / ((1+r)^n − 1)

FAQ

  • Q: What is a good personal loan rate?
    Rates vary by credit score. Excellent-credit borrowers often qualify for rates below 10%, while subprime borrowers may face 20%+ APRs.
  • Q: Should I use a personal loan to consolidate debt?
    Consolidation can lower your rate and simplify payments, but only addresses the symptom — fixing the spending pattern is what prevents a repeat.

Early Payoff

Personal Finance

See how extra payments slash interest and loan term.

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Extra monthly payments go directly to principal, not interest. This tool shows how much time and total interest you can save by adding fixed or periodic extra payments to your loan.

Core Formula

New Term = Solve for n in amortization formula with higher PMT

FAQ

  • Q: Does early payoff save money?
    Mathematically, yes — as long as the loan interest rate exceeds the after-tax return you could earn elsewhere. Watch out for prepayment penalties.
  • Q: Should I pay extra on a low-rate mortgage?
    For low-interest debt (below 5%), investing extra cash in diversified markets may produce higher long-term returns. The math depends on your after-tax rate.

Debt Payoff

Personal Finance

Calculate time and interest to become debt-free.

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Enter your debt balance, APR, and monthly payment to see exactly when you'll be debt-free and how much interest you'll pay along the way.

Core Formula

n = -log(1 - rP/M) / log(1+r)

FAQ

  • Q: What if I can only make minimum payments?
    Minimum payments on credit cards often barely cover interest. You may need to increase payments or consider a balance transfer to make meaningful progress.
  • Q: Should I save or pay off debt first?
    Build a $1,000 starter emergency fund first, then attack high-interest debt (above 7-8%). After that, balance saving with extra debt payments based on rates and psychology.

Debt Comparison

Personal Finance

Compare snowball vs avalanche payoff strategies.

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The debt snowball prioritizes smallest balances for psychological wins; the avalanche targets highest-interest debt first to minimize total interest. This tool compares both paths side-by-side.

Core Formula

Total Interest = Σ (interest paid per period)

FAQ

  • Q: Which strategy is mathematically better?
    The avalanche method minimizes total interest paid. The snowball method is psychologically effective and keeps more people on track long enough to win.
  • Q: Should I consolidate first?
    Consolidation can reduce your rate and simplify payments, but only if you commit to not running up new balances on the freed credit.

Savings Goal

Personal Finance

Calculate monthly contributions needed to hit any target.

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Whether it is a house down payment, a new car, or a child's education fund, this tool works backward from your target amount to tell you exactly how much to save each month.

Core Formula

PMT = FV × (r/n) / ((1+r/n)^(nt) − 1)

FAQ

  • Q: What rate should I use for savings?
    Use a conservative rate matching your actual vehicle — high-yield savings for near-term goals, balanced portfolio for goals 5+ years away.
  • Q: Should I adjust for inflation?
    Yes. For goals more than 5 years away, estimate the future cost by inflating the target at your expected inflation rate.

Emergency Fund

Personal Finance

Build a 3–6 month safety net for unexpected events.

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An emergency fund is your financial seatbelt. It protects you from job loss, medical bills, or home repairs without resorting to high-interest debt or derailing your long-term plan.

Core Formula

Target = Monthly Expenses × 3 (stable job) or × 6 (variable income)

FAQ

  • Q: Where should I keep my emergency fund?
    Keep it in a liquid, FDIC-insured high-yield savings or money market account. Not in stocks, bonds, or crypto.
  • Q: How do I calculate monthly essential expenses?
    Track housing, food, utilities, transportation, insurance, and minimum debt payments. Exclude discretionary items like dining out and subscriptions.

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