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Please fill in the return rate, inflation, fee, and volatility settings in the parameters panel and click Calculate to view results.
Compare multiple investor profiles across custom time horizons — real returns, inflation, taxes, and fees included
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Add at least one investor profile and fill in return, inflation, fee, and variance to enable calculation.
Please fill in the return rate, inflation, fee, and volatility settings in the parameters panel and click Calculate to view results.
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The foundation of all calculations is the compound interest formula, which shows how money grows over time when earnings are reinvested:
€10,000 at 9.8% annual return for 10 years with monthly compounding:
r = 9.8% / 12 = 0.008167 per month
n = 10 years × 12 = 120 months
FV = 10,000 × (1 + 0.098/12)¹²⁰ = €26,538.73
Most people invest regularly, not just once. The future value of a series of monthly contributions uses these formulas depending on timing:
This calculator processes each monthly contribution individually, applying compound growth to each one from the month it's added. You can choose beginning-of-period (where contributions earn interest in their first month) or end-of-period contribution timing.
The calculator supports three contribution strategies:
Start with €100/month, growing 2.5% per year:
Year 1: €100/month
Year 2: €102.50/month (€100 × 1.025)
Year 3: €105.06/month (€100 × 1.025²)
Fees (expense ratios) are deducted from your portfolio balance, not from the return rate. This accurately models how real fund fees work:
Each month, returns are applied first, then fees are deducted from the total balance. This means fees have a larger absolute impact on larger portfolios.
€100,000 balance with 0.50% annual fee: monthly deduction = €100,000 × 0.0050/12 = €41.67
€500,000 balance with 0.50% annual fee: monthly deduction = €500,000 × 0.0050/12 = €208.33
The same fee rate costs 5× more in absolute terms on a 5× larger portfolio.
The calculator supports three tax treatments:
Inflation erodes purchasing power over time. We calculate both nominal and real (inflation-adjusted) values:
€100,000 in 20 years with 2.5% annual inflation:
Real value: €100,000 ÷ (1.025)²⁰ = €61,027
This means €100,000 in 20 years buys what €61,027 buys today.
Instead of assuming a constant return, Monte Carlo simulation randomizes each year's return from a normal distribution centered on your expected return with your specified variance. Running 1,000+ simulations shows the range of likely outcomes.
Results show percentile bands: P10 (pessimistic), P25, P50 (median), P75, P90 (optimistic). The wider the variance, the wider the spread between outcomes.
150% means you have 1.50 for every 1 invested (50% gain)
250% means you have 2.50 for every 1 invested (150% gain)
500% means you have 5 for every 1 invested (400% gain)
The retirement (decumulation) phase simulates withdrawing regular monthly income from your accumulated portfolio, modeled nominally with optional inflation adjustments:
C_new = C_old × (1 + inflation_rate). This keeps purchasing power constant.The calculator uses convergent binary search simulations to solve for two key retirement rates:
Final Real Balance = Final Nominal Balance / (1 + inflation_rate)ʸ ≥ Starting BalanceCompound interest is called the "eighth wonder of the world" because:
You earn interest on your interest. This creates exponential growth that accelerates over time. The longer you invest, the more powerful compounding becomes.
A 30-year investment isn't just 3× better than 10 years—it's often 5-10× better due to the exponential nature of compound growth.
This calculator is a planning tool designed for educational and illustrative purposes only. It does not constitute financial, investment, legal, or tax advice. Please note the following critical limitations of the mathematical models used:
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