Investment Calculator

Testez plusieurs hypoth�ses de rendement et d'�pargne pour voir comment votre plan �volue, puis choisissez une strat�gie plus coh�rente avec vos objectifs.

Formule de croissance compos�e

A=P(1+rn)nt+PMT(1+rn)nt1rn\textcolor{#4ade80}{A} = \textcolor{#60a5fa}{P} \cdot \left(1 + \frac{r}{n}\right)^{n \cdot t} + \textcolor{#fb923c}{\text{PMT}} \cdot \textcolor{#60a5fa}{\frac{\left(1 + \frac{r}{n}\right)^{n \cdot t} - 1}{\frac{r}{n}}}
A=Valeur finale
P=Capital initial
PMT=Versement p�riodique
r=Taux d'int�r�t annuel (nominal)
n=P�riodes de composition par an
t=Nombre d'ann�es
Investment
Fr�quence de composition
6.0%
18 ans
Capital total investi
€66K €
Valeur finale
€129K €
Gain
+€63K €
ROI sur les versements
96.2%
Rendement annualis� effectif*
3.8%
Part des int�r�ts dans la VF
49.0%

*Approximation : (VF � total vers�)^(1/t) - 1.

AI Deep Review

Runs only when you click Analyze, then reviews input quality and output realism.

Croissance par ann�e
Valeur de l'investissementCapital total investi
026K52K78K104K129K
D�butAnn�e 18
Composition du solde
Gains cumul�sVersements (cumul�s)
026K52K78K104K129K
D�butAnn�e 18
Int�r�ts mensuels (premiers mois)
Premiers 60 mois
04080121161
Comparaison de sc�narios (VF)
Cas de basePrudent (-2 % / an)Dynamique (+2 % / an)Versement mensuel plus �lev� (+50 %)
035K71K106K142K177K
D�butAnn�e 18
R�sultats par sc�nario

M�me horizon et composition ; taux ou versement modifi�s comme indiqu�.

Sc�narioValeur finaleGainvs base
Cas de base€129K €+€63K €
Prudent (-2 % / an)€103K €+€37K €-20.7%
Dynamique (+2 % / an)€164K €+€98K €+26.9%
Versement mensuel plus �lev� (+50 %)€177K €+€84K €+36.8%
Tableau d'accumulation
MoisOuvertureD�p�tInt�r�tsSolde final
Ann�e 1
112 0002505812 308
212 3082506012 618
312 6182506112 930
412 9302506313 243
513 2432506413 557
613 5572506613 873
713 8732506814 191
814 1912506914 510
914 5102507114 830
1014 8302507215 153
1115 1532507415 476
1215 4762507515 802
Ann�e 2
1315 8022507716 129
1416 1292507916 457
1516 4572508016 787
1616 7872508217 119
1717 1192508317 452
1817 4522508517 787
1917 7872508718 124
2018 1242508818 462
2118 4622509018 802
2218 8022509219 143
2319 1432509319 487
2419 4872509519 831
Ann�e 3
2519 8312509720 178
2620 1782509820 526
2720 52625010020 876
2820 87625010221 228
2921 22825010321 581
3021 58125010521 936
3121 93625010722 293
3222 29325010922 651
3322 65125011023 012
3423 01225011223 374
3523 37425011423 737
3623 73725011624 103
Exemple : compos� vs simple (capital fixe)

Comparez int�r�ts compos�s et simples sur 30 ans sur un capital initial unique.

75 000 sans versements � 30 ans � capitalisation annuelle
12 % compos�8 % compos�5 % compos�8 % simple
0449K899K1.3M1.8M2.2M
12 % compos�: €2.2M € 30.0)
8 % compos�: €755K € 10.1)
5 % compos�: €324K € 4.3)
8 % simple: €255K € 3.4)

Comment utiliser ce calculateur d'investissement

Saisissez les montants de haut en bas, puis lisez les indicateurs et les graphiques.

Exemple (valeurs r�alistes)

Ces ordres de grandeur correspondent � des usages courants.

  • Sc�nario type USD : 25 000 $ de d�part, 400 $ par mois, 6,50 % nominal annuel.
  • Sc�nario type euro : 15 000 � en une fois, 250 � par mois, 5,50 % nominal.
  • Apr�s modification, ouvrez l'onglet d'amortissement pour v�rifier.

Champs et commandes

Fr�quence de composition (Ann�e / Trimestre / Mois / Jour)
Indique combien de fois par an le taux nominal est appliqu�.
Capital initial (P)
Le montant d�j� d�tenu au d�part.
Versement mensuel
Montant d�pos� chaque mois.
Taux annuel (r)
Pourcentage annuel nominal avant inflation.
Horizon (ann�es)
Dur�e en ann�es enti�res.
R�initialiser
Remet la composition � l'annuelle et recharge des montants d'exemple.

Lire les r�sultats

  1. Bandeau d'indicateursParcourez total vers�, valeur finale, gain, ROI sur les versements.
  2. GraphiquesCroissance vs d�p�ts, composition du solde, barres d'int�r�ts mensuels.
  3. Tableau de sc�narios et amortissementLe tableau compare les valeurs finales selon d'autres hypoth�ses.
  4. Bloc d'exemple et boutons flottantsL'exemple compos� vs simple utilise un capital forfaitaire distinct.

Points importants lors de la saisie

  • Locale et d�cimales : avec virgule d�cimale, ne m�langez pas deux styles.
  • Un taux nominal constant sur tout l'horizon est une simplification.
  • Les r�sultats ignorent imp�ts, frais de plateforme et inflation.

Les valeurs par d�faut suivent des ordres de grandeur plausibles.

What Is an Investment Calculator?

An investment calculator is a financial planning tool that models how money grows over time through compound interest, periodic contributions, and different return rates. This professional-grade compound interest calculator goes beyond a single future-value figure — it delivers a full KPI dashboard, four interactive charts, a line-by-line amortization schedule, and an AI-powered deep review of your scenario. Whether you are planning for retirement, modeling a DCA (dollar-cost averaging) strategy, or benchmarking a brokerage account against a savings account, this tool gives you the depth a spreadsheet would take hours to build.

The calculator supports four compounding frequencies (annual, quarterly, monthly, daily), monthly recurring contributions at any amount, and scenarios that overlay conservative, base-case, and aggressive return paths simultaneously. All outputs adjust to your locale's number format and currency scale automatically.

Investment calculator infographic: compound interest formula A = P(1+r/n)^(n×t) + PMT × [(1+r/n)^(n×t)-1]/(r/n), portfolio growth bar chart at 7% APR across 10, 20, 30 years from $20,000 principal, compounding frequency comparison table annual quarterly monthly daily, and Rule of 72 quick reference
Investment Growth Formula & Key Reference Data. The compound interest formula (left), portfolio growth trajectory at 7% APR (center), compounding frequency impact table (right), and the Rule of 72 quick reference (bottom). All values are illustrative — use the live calculator above for your specific inputs.

The Compound Interest Formula Explained

The foundation of every investment growth calculator is the standard compound interest formula extended with a periodic payment term:

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

Final portfolio value (what the calculator outputs)

P

Principal — your initial lump-sum deposit

PMT

Periodic contribution — your monthly addition to the portfolio

r

Annual interest rate as a decimal (e.g., 7% → 0.07)

n

Compounding periods per year (12 for monthly, 365 for daily)

t

Investment time horizon in years

Worked Example: $20,000 principal + $500/month at 7% for 20 years

  • P = $20,000 (initial deposit)
  • PMT = $500/month ($6,000/year contribution)
  • r = 7% = 0.07 nominal annual rate
  • n = 12 (monthly compounding)
  • t = 20 years
  • Lump-sum growth: $20,000 × (1 + 0.07/12)^240 = $79,878
  • Monthly contributions growth: $500 × [(1.00583)^240 − 1] / 0.00583 = $260,928
  • Final Value A ≈ $340,806 | Total deposited: $140,000 | Interest earned: $200,806 (ROI: 143%)

The Power of Compounding Over Time

Albert Einstein allegedly called compound interest "the eighth wonder of the world — he who understands it, earns it; he who doesn't, pays it." Whether or not Einstein said it, the math is undeniable. The longer your investment horizon, the more dramatic the compounding effect becomes relative to your contributions.

Portfolio growth at 7% APR, monthly compounding. Initial: $20,000 · Monthly: $500. All values USD.
YearsTotal DepositedFinal ValueInterest EarnedInterest % of FVROI on Contributions
5 years$50,000$75,903$25,90334%52%
10 years$80,000$124,342$44,34236%55%
15 years$110,000$196,781$86,78144%79%
20 years$140,000$312,253$172,25355%123%
25 years$170,000$484,058$314,05865%185%
30 years$200,000$743,271$543,27173%272%
🎯 Key insight: At 20 years, only 55% of your final portfolio came from interest — but by year 30, compound growth accounts for 73% of your wealth. The last decade of a 30-year plan generates more interest ($229K) than the first 20 years combined ($172K). Starting early is more powerful than contributing more.

Compounding Frequency: Annual vs Monthly vs Daily

For the same nominal APR, more frequent compounding produces a higher effective yield. The difference comes from interest earning interest sooner. This is why savings accounts advertising "monthly compounding" earn slightly more than those with "annual compounding" at the same stated rate.

$10,000 lump sum · 7% nominal APR · No additional contributions · 20 years
CompoundingPeriods/yr (n)Effective APYFinal ValueExtra vs Annual
Annual17.000%$38,697
Quarterly47.186%$39,281+$584 (+1.5%)
Monthly127.229%$39,543+$846 (+2.2%)
Daily3657.250%$39,675+$978 (+2.5%)

Practical takeaway: The gap between annual and daily compounding at 7% over 20 years is only about $978 on a $10,000 investment — less than 2.5%. Compounding frequency matters, but the rate itself and time horizon are far more impactful. Use the calculator's compounding toggle to match your account's exact crediting schedule, then focus your energy on maximizing the monthly contribution and holding period.

Scenario Analysis: Conservative, Base, Aggressive

One of the most powerful features of this investment return calculator is side-by-side scenario comparison. Click "Analyze" to overlay three return paths simultaneously: a Conservative rate (base − 2%), your Base case, and an Aggressive rate (base + 2%). The scenario chart shows how a seemingly small 2% difference in annualized return compounds into dramatically different outcomes.

Investment scenario comparison chart showing three portfolio growth curves: conservative 5% APR reaching $461K, base case 7% APR reaching $700K, and aggressive 10% APR reaching $1.18M after 30 years from $20,000 initial deposit plus $500 monthly contributions
30-Year Scenario Comparison. Starting with $20,000 and contributing $500/month, a 5% return yields $461K while a 10% return produces $1.18M — a $719K difference from just a 5% rate gap. Use the live scenario panel in the calculator above to model your own rate assumptions.
$20,000 initial + $500/month · 30-year horizon · Monthly compounding
ScenarioAnnual RateFinal ValueTotal DepositedInterest EarnedROI
Conservative5%$461,098$200,000$261,098131%
Base Case7%$743,271$200,000$543,271272%
Aggressive10%$1,176,477$200,000$976,477488%

Amortization Schedule & Month-by-Month Breakdown

Below the KPI dashboard, the amortization schedule shows each period row-by-row: opening balance, contribution, interest earned that period, and closing balance. Toggle between Monthly (individual rows) and Yearly (annual rollup) views. This level of detail lets you:

  • Validate your model against a fund's periodic statement or a spreadsheet built independently.
  • Identify inflection points — often around year 10–12, monthly interest starts exceeding monthly contributions, meaning growth accelerates even without new deposits.
  • Plan partial withdrawals — knowing the exact balance at month 60 helps model retirement drawdown scenarios.
  • Audit precision — each row confirms interest is calculated on that period's opening balance, not a simplified annual estimate.

The monthly interest bar chart visually highlights this acceleration: early bars (months 1–24) are short, but they climb steadily as your portfolio balance grows. By year 15 in a typical midsize scenario, monthly interest alone begins to rival — then exceed — the $500 monthly contribution.

ROI, Effective Yield & the KPI Dashboard

The KPI dashboard above the charts displays six key metrics. Here's exactly what each means and why it matters for evaluating your investment portfolio growth:

Total Capital Invested

The sum of your initial deposit plus all monthly contributions: P + (PMT × 12 × t). This is what you put in, net of any returns.

Final Value (A)

The output of the compound interest formula — the projected portfolio value at the end of your selected horizon, before taxes.

Total Return (Interest)

Final Value minus Total Contributed. This is the purely interest-generated wealth — what compounding added above and beyond your savings.

ROI on Contributions

(Interest Earned ÷ Total Contributed) × 100. Tells you what percentage return you earned on the money you actually deposited.

Effective Annualized Yield

(FV ÷ Total Contributed)^(1/t) − 1. A simplified CAGR-like metric showing the equivalent annual return over the whole period. Not identical to IRR.

Interest Share of FV

What percentage of the final portfolio balance is pure interest growth vs capital you deposited. The higher this is, the more compounding has worked for you.

Investment Planning Tips & the Rule of 72

The Rule of 72

Years to Double = 72 ÷ Annual Interest Rate (%)
Annual RateYears to Double (Rule of 72)Exact Years (Formula)Difference
4%18.0 yrs17.67 yrs0.3 yrs
6%12.0 yrs11.90 yrs0.1 yrs
8%9.0 yrs9.01 yrs0.01 yrs
10%7.2 yrs7.27 yrs0.07 yrs
12%6.0 yrs6.12 yrs0.12 yrs
15%4.8 yrs4.96 yrs0.16 yrs

Top Investment Planning Strategies

🕐 Time in Market Beats Timing

Starting 10 years earlier can double your final portfolio with the same contribution rate. A 25-year-old investing $300/month at 7% until 65 will have $792K. Starting at 35 produces only $380K — less than half, despite contributing for 30 fewer years.

📈 Dollar-Cost Averaging (DCA)

Investing a fixed amount monthly regardless of market conditions reduces the average purchase price over time. This calculator models DCA precisely via the PMT term — keeping contributions constant regardless of rate swings.

🔄 Reinvest Dividends

If your investment generates dividends, reinvesting them (rather than withdrawing) dramatically amplifies compounding. Even a 2% dividend yield reinvested adds roughly 25–35% to your 20-year total at 5% base growth.

💰 Maximize Tax-Advantaged Accounts

In the US, 401(k) and IRA contributions grow tax-deferred (or tax-free for Roth). The effective APR of a Roth IRA at 7% outperforms a taxable account at 7% with 22% tax drag by the equivalent of 1.5–2% APR annually.

⚖️ Rebalance Annually

A portfolio drifting to 80% equities from a target 60/40 carries more risk than intended. Annual rebalancing sells outperformers and buys underperformers — maintaining risk level while systematically buying low.

📊 Factor in Inflation

The calculator outputs nominal values. To estimate real purchasing power, subtract ~2–3% expected inflation from your return rate. A 7% nominal return at 3% inflation = ~4% real return. Run scenarios at both rates for an honest range.

Frequently Asked Questions

💹How accurate is this investment calculator?

The calculator uses the standard compound interest formula with exact periodic compounding — not approximations. It matches values produced by Excel's FV() function. The main sources of divergence from real-world outcomes are: (1) taxes on interest/dividends, (2) investment fees and expense ratios, (3) variable returns (markets don't return exactly 7% every year), and (4) contribution timing (this model assumes end-of-period contributions). For a more conservative estimate, reduce the rate by 0.5–1% to account for fees.

💹What is the difference between ROI and annualized yield in the KPI dashboard?

ROI = (Interest Earned ÷ Total Contributed) × 100 — a simple total return ratio ignoring time. If your $140,000 in contributions grows by $172,000, ROI = 123%. The Effective Annualized Yield is a CAGR-like metric: (FV / Contributed)^(1/t) − 1. It's not identical to IRR (Internal Rate of Return) because it doesn't account for the timing of each contribution. Consider the annualized yield as an approximation — for precise IRR, you would need XIRR in Excel.

💹Should I use monthly or annual compounding in the calculator?

Match the compounding frequency to your actual investment account. High-yield savings accounts (HYSAs) typically compound daily. Index funds and ETFs do not compound in the traditional sense — they provide returns through price appreciation and dividend reinvestment. For a buy-and-hold index fund model, annual compounding is technically most accurate. Monthly compounding overestimates slightly. For comparing accounts, always check the APY (Annual Percentage Yield) — it normalizes different compounding frequencies to a single comparable figure.

💹What does the AI Deep Review do and is it private?

The AI Deep Review sends a compact summary of your inputs (principal, rate, years, compounding, monthly contribution) and outputs (final value, ROI, yield) to our server, which forwards them to a Gemini language model. The model returns a structured analysis: input quality assessment (is your rate realistic? Is your horizon adequate?), result sanity check (does the ROI look reasonable?), and recommended actions. No personal identifying information is sent — only the numerical inputs and outputs visible in the calculator. You can review the model's response and decide whether to act on it.

💹How do I calculate compound interest without a calculator?

For a lump sum with no contributions, use: A = P × (1 + r/n)^(n×t). Example: $10,000 at 7% annually for 20 years = 10,000 × (1.07)^20 = 10,000 × 3.8697 = $38,697. The Rule of 72 provides a quick mental estimate: at 7%, money doubles every ≈10.3 years. For monthly contributions, the calculation requires the annuity formula above and is most easily handled by a calculator like this one or Excel's FV() function.

💹What is a realistic annual return rate to use?

Historical returns for a global equity index (e.g., MSCI World) average 8–10% nominal per year over very long periods. After accounting for inflation (2–3%), real returns average 5–7%. After fund fees (0.05–0.5% for index ETFs, up to 1–2% for actively managed funds), net real returns are typically 4.5–6.5%. Conservative financial planning uses 5–6% nominal; aggressive models use 8–10%. The calculator's default of 7% represents a reasonable midpoint for long-term equity investing — adjust for your specific allocation and risk tolerance.

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    Convert a nominal interest rate at any compounding frequency to the equivalent Annual Percentage Yield (APY). Essential for comparing savings accounts, CDs, and money market funds.

  • CAGR Calculator

    Calculate the Compound Annual Growth Rate of any investment given its start value, end value, and number of years. The inverse of what this calculator does — great for benchmarking past performance.

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Same Calculator in Other Languages

This investment calculator is available in 6 locales with currency-appropriate defaults. The compounding formula and all calculations are identical — only the number format, currency symbol, and default amounts change.

Disclaimer: All projections are educational estimates based on constant-rate compound interest models. Taxes, fund expense ratios, inflation, market volatility, and contribution timing variations are not fully modeled. Past market returns do not guarantee future results. Consult a licensed financial advisor before making investment decisions.

Questions fr�quentes sur Investment Calculator

📐 Comment ce calculateur d'investissement calcule-t-il les int�r�ts compos�s ?

Chaque p�riode le solde cro�t selon un facteur issu du taux annuel nominal et de la fr�quence de composition (annuelle, trimestrielle, mensuelle ou quotidienne). Le versement r�current est ensuite appliqu� dans le m�me ordre d'�tapes que dans de nombreux mod�les retraite et DCA.

🔢 Quelle est la diff�rence entre le ROI et le rendement annualis� affich� ?

Le ROI sur les versements est le profit total divis� par tout ce que vous avez investi. Le rendement annualis� effectif est une approximation (VF � total vers�)^(1/ann�es) - 1. Utile pour l'intuition, ce n'est pas un TRI ni un rendement pond�r� dans le temps si les flux changent.

📉 Puis-je voir un tableau d'amortissement complet ?

Oui. L'onglet Mensuel affiche solde d'ouverture, d�p�t, int�r�ts et solde de cl�ture par mois ; le r�capitulatif Annuel regroupe d�p�ts, int�r�ts et solde de fin d'ann�e civile.

🏦 Que repr�sentent les courbes de comparaison de sc�narios ?

Elles gardent le m�me horizon et la m�me composition tout en faisant varier les hypoth�ses : taux plus bas (prudent), plus haut (dynamique) et versement mensuel +50 %. Comparez les soldes finaux et le tableau des sc�narios.

📊 Cet outil constitue-t-il un conseil financier ?

Non. Trust Tool fournit uniquement des projections p�dagogiques. Imp�ts, frais, inflation et risque de march� modifient les r�sultats r�els. Consultez un professionnel agr�� avant de d�cider.

🌍 Les formules sont-elles v�rifi�es ?

Les calculs suivent la composition standard du TAEG nominal avec versements p�riodiques. La section formule sur la page documente les symboles pour recoupement avec Excel ou un autre outil.

🧮 Calculatrice