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🔢 Simulation Tools

Monte Carlo Simulator: 50 years of real historical data

A complete simulator for the Global Equities + Cash strategy, using 50 years of historical data with the Monte Carlo statistical model to generate thousands of possible scenarios, showing you a realistic range of outcomes — from the most cautious to the most favourable — with the ability to vary profile, Equities/Cash split, time horizon, capital contributions, income and rebalancing to build personalised scenarios.

Past performance doesn't guarantee future results: we use it for statistical and educational purposes to visualise probabilistic scenarios based on 50 years of real historical data.

Your financial journey

Every stage of an investor's life needs different levers: how much capital to put in straight away, how much to contribute or withdraw each month, and how often to rebalance between Global Equities and Cash. The Monte Carlo Simulator helps you find your strategy at each of these stages: pick the one closest to your situation as a starting point, apply its parameters in one click, and check against 50 years of real historical data whether that allocation holds up to your expectations — you can still freely adjust every value afterwards.

20–35
🌱
35–50
🏠
50–65
⛰️
65–90
🏖️

Young saver

100% Global Equities

Starting capital: Getting started matters, even with a small amount

Regular contributions: The real growth engine

Income: Not yet the priority

Rebalancing: Not needed at 100% Equities

Family in accumulation

80% Equities · 20% Cash

Starting capital: Accumulated capital starts to make a difference

Regular contributions: Still the priority

Income: Not yet needed

Rebalancing: Quarterly

Approaching retirement

60% Equities · 40% Cash

Starting capital: Now substantial

Regular contributions: Less central: shifting toward preservation

Income: Not yet active, but close

Rebalancing: Quarterly, to protect gains

Retired, drawing income

40% Equities · 60% Cash

Starting capital: Needs to last

Regular contributions: No longer needed

Income: Becomes the priority

Rebalancing: Quarterly, to manage withdrawals

Monte Carlo statistical simulator

The simulator runs 10,000 iterations, resampling 50 years of real historical data (MSCI World from 1970, €STR from 1999) to generate thousands of possible scenarios, showing you a realistic range of outcomes — from the most cautious to the most favourable.

The preview below reproduces the real layout of the interface with example figures — it isn't a live embed, and not a forecast. In the app, the values update in real time based on the parameters you set.

💾 Save scenario ↺ Reset parameters
Young saver
100% Global Equities
£5,000 + £300/month
30 years · no rebalancing
Family in accumulation
80% Global Equities · 20% Cash
£20,000 + £400/month
15 years · quarterly rebal.
▶ Load and run
Approaching retirement
60% Global Equities · 40% Cash
£150,000
12 years · quarterly rebal.
Retired, drawing income
40% Global Equities · 60% Cash
£200,000 · £700/month income
5 years · quarterly rebal.
Objective
🛡 Capital protection 📈 Capital growth 💰 Income 🔄 Drawdown
Risk tolerance
Low Medium/Low Medium/High High
Time horizon
Short (3–5y) Medium/Short (5–10y) Medium/Long (10–20y) Long (>20y)
Simulation mode
📊 Basic 🔬 Advanced

Advanced mode — all options are visible.

Equities
80%
MSCI World (EUR · unhedged)
Cash
20%
€STR savings account

Total allocation 100%

MSCI World index currency
🇪🇺 EUR Unhedged
🇺🇸 USD EUR Hedged

📌 EUR (unhedged): simulation with MSCI World in euros — includes the USD/EUR exchange-rate effect. Suited to unhedged ETFs such as IWDA, SWRD.

Annual bootstrap
Starting capital
£20,000
Phased entry (SC)
Immediate

SC split into equal monthly instalments · idle capital held in Cash (0%)

Nominal — no inflation adjustment
Duration (years)
15 years
Regular investing
Monthly
£400
Income
Rebalancing
Quarterly
Buy equities — threshold 75%

Buys if equities fall below threshold (below target allocation)

Existing capital
Sell equities — threshold 90%

Sells if equities rise above threshold · 24% CGT · 0.12% costs

▶ Run simulation (10,000 iterations)
📋 EVALUATION CARD
For educational and informational purposes only · does not constitute personalised financial advice
78
Score
Good
Capital
£192k
20/20pt
Growth
5.0%
13/25pt
Volatility
15.9%
8/15pt
Max drawdown
−24.2%
 
● Objective Capital growth 14/15pt ● Risk Medium/High · 80% eq. 10/10pt ● Horizon 15y – Medium/Long (10–20y) 5/5pt
In the median scenario the portfolio generates a 5.0% annual return — a solid performance. The median final value of £192,244 significantly exceeds the starting capital — the growth objective is met. In the median scenario the portfolio could see a maximum drawdown of 24.2%.
🎓 THE COACH

Good result — the portfolio performs well overall. A few targeted adjustments could improve it further: let's look at what's worth your attention.

Explore alternative scenarios — try switching the model (Bootstrap vs Real Data), adjusting the allocation by ±10%, or testing a historical Stress Test to see how the portfolio holds up under extreme conditions.

✨ Generate AI evaluation
Portfolio Growth
Median (P50) Favourable (P85) Cautious (P15) Capital contributed
Today Y15
Portfolio Value / Drawdown
Portfolio P50 Drawdown P50
Today Y15
Cautious (P15)£119,937
Final value
£119,937
Total invested
£92,000
CAGR (Port.+Income)
1.8%
CAGR MSCI EUR
0.0%
Volatility (σ)
19.8%
Max drawdown
−43.0%
Avg. pound
£10,087
Min. pound
£3,666
Rebal. buys
2 ops · £1,156
Rebal. sells
0 ops
CGT paid
£0
% surviving
100.0%
Median (P50)£192,244
Final value
£192,244
Total invested
£92,000
CAGR (Port.+Income)
5.0%
CAGR MSCI EUR
7.9%
Volatility (σ)
15.9%
Max drawdown
−24.2%
Avg. pound
£16,471
Min. pound
£4,000
Rebal. buys
1 op · £7,304
Rebal. sells
1 op · £16,995
CGT paid
£2,769
% surviving
100.0%
Favourable (P85)£303,087
Final value
£303,087
Total invested
£92,000
CAGR (Port.+Income)
8.3%
CAGR MSCI EUR
15.2%
Volatility (σ)
9.4%
Max drawdown
−6.9%
Avg. pound
£18,989
Min. pound
£4,000
Rebal. buys
0 ops
Rebal. sells
2 ops · £20,724
CGT paid
£7,664
% surviving
100.0%
MSCI World EUR Index
MSCI World EUR Index
MSCI World EUR Index
€STR Index
€STR Index
€STR Index
Portfolio + Income
Portfolio + Income
Portfolio + Income
Equities / Cash / Rebalances
Equities / Cash / Rebalances
Equities / Cash / Rebalances
📖 How to use the simulator

🗂️ Custom Scenarios

The four Custom Scenarios at the top of the simulator are complete, saveable configurations — profile, allocation, capital, contributions, income and rebalancing — ready to recall with one click. Load a card to apply its parameters and run the simulation straight away; freely adjust the controls after loading it; save the current configuration in one of 4 slots; rename each scenario so you can recognise it at a glance (e.g. "Retirement at 60"). Your scenarios stay saved to your account (or to your browser if you're not logged in) on every visit.

🎯 Set up your profile

The profile lets the Evaluation Card judge the results against your actual goals, not just absolute performance.

  • Objective — Capital Protection, Capital Growth, Income or Drawdown
  • Risk Tolerance — from Low to High, some values automatically locked based on the objective
  • Time Horizon — should match the duration of the simulation: short horizons combined with a high equity share are penalised
  • Basic mode — three simplified scenarios with sensible default values, ideal for getting started
  • Advanced mode — statistical percentiles P15/P50/P85 with every control visible and editable

📐 What to explore with the simulator

  • Optimal allocation — the Equities/Cash split best suited to your profile
  • Effect of starting capital and monthly purchases — how compound growth turns small, regular contributions into significant wealth
  • Sustainable income — a periodic withdrawal and how many years the portfolio can support it
  • Impact of rebalancing — how buy/sell thresholds (typically −5% and +10% of target) improve results by exploiting volatility

🗃 Simulation models

The simulator uses 10,000 iterations across more than 50 years of historical data. Three models are available:

  • Annual bootstrap — resamples one-year blocks, the closest to real market dynamics, recommended as a starting point
  • Monthly bootstrap — resamples one-month blocks, more variable scenarios, useful for testing robustness under extreme conditions
  • Real data — the actual historical sequence for a specific period (e.g. the dot-com crash, 2008, post-pandemic), a deterministic, non-probabilistic scenario
📊 How to read the results

🎯 The three scenarios: P15, P50, P85

The simulator ranks the results of the 10,000 iterations and presents them as three reference scenarios. The Median Scenario (P50) is the result that half the simulations beat and half don't reach — the main reference point, neither optimistic nor pessimistic. The Cautious Scenario (P15) is reached only by the worst 15% of simulations: an unfavourable market, to be used as a "fallback plan" — your portfolio needs to hold up there too. The Favourable Scenario (P85) is beaten only by the best 15%: useful for understanding upside potential, but not to be used as a basis for decisions.

💡 Rule of thumb: if the P15 isn't acceptable for your situation, the strategy needs revisiting — reduce the equity share, extend the time horizon, or reduce the annual withdrawal.

📈 Growth (CAGR)

CAGR (Compound Annual Growth Rate) expresses the portfolio's average annual compound return. A 7% CAGR over 20 years turns £100,000 into roughly £387,000 — not £240,000 as a simple return would — that's the "snowball" effect of compound interest. Historical reference figures (MSCI World in EUR, 1970–2024): a 100% equity portfolio returns roughly 10% nominal (~7% real, net of inflation); 70% equities/30% Cash roughly 7–8%; 50/50 roughly 5–6%.

✅ Success probability

Shows the percentage of simulations in which the portfolio doesn't run out of capital during the simulated period — the most important metric for anyone in the income or drawdown phase. 100% means all simulations end with positive capital; 85–99% is an excellent safety margin; 70–84% is acceptable, consider reducing the withdrawal slightly; below 70% the risk of running out of capital is significant. In the accumulation phase (no withdrawals), it's typically close to 100% over long horizons.

📉 Volatility

Measures the average size of annual swings. A value of 15% means that in a "normal" year the portfolio can move by roughly ±15% relative to its expected value. Below 8% is low (lots of Cash or diversification); 8–15% is the average for an MSCI World + Cash strategy with 50–80% equities; above 15% is high (equity concentration above 80%). Volatility isn't "the enemy": for someone with a long horizon, it's the price paid for higher returns — it only becomes a problem if it leads to selling at the wrong moment.

⬇️ Max drawdown

Shows the largest fall from the previous peak in the median scenario: "how much could the portfolio lose at its worst point before recovering?" A 35% drawdown means going from £100,000 to roughly £65,000 before recovering — a recovery that can take anywhere from 2 to 5+ years. Typical figures: 100% equities up to −50% (2008 crisis) or −45% (dot-com 2000); 70% equities −25/−35%; 50% equities −15/−25%; 30% equities −8/−15%.

💡 The key question: can you stick with the plan even when your portfolio is worth 30% less than it was a year ago? If the answer is no, reduce the equity share now, before it happens.

💰 Final capital and cumulative income

The final capital is the portfolio's value at the end of the simulated period, across the three scenarios. For someone in the accumulation phase, it's the main result; for someone in drawdown or drawing income, it should be read alongside cumulative income — the total sum withdrawn over the period.

🎓 The Evaluation Card and AI Coach

The Evaluation Card assigns a Score from 0 to 100 measuring how consistent the results are with your chosen profile, not just absolute performance: Growth (up to 25pt), Success (up to 20pt), Volatility (up to 10pt), Capital (up to 15pt) and Profile Match (up to 30pt). The AI Coach — powered by Claude by Anthropic — reads the results and suggests concrete actions (e.g. "reduce the equity share to 60%"). It doesn't generate automatically: it's triggered with the Generate AI evaluation button after each simulation.

The AI Coach provides educational and orientation information only; it does not constitute personalised financial advice.

Try the simulator with your own numbers

Set your profile, capital and horizon, and watch in real time how thousands of possible scenarios play out — free, no sign-up required.

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