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Monte Carlo

Robustness Analysis

Monte Carlo robustness analysis to evaluate strategy's performance predictability using 10,000 simulations per test period within a rolling walk-forward framework

ETF Blend 102-25 Analysis

The strategy’s edge is not an artifact of a single lucky period. The Walk-Forward Analysis (8 iterations) demonstrates resilience across varied market regimes (2015–2025).

Every single “Test Period” (Out-of-sample) yielded a positive actual return. There were no blown-up years. It performed well during the low-volatility grind (Iteration 1), the Covid crash (Iteration 3), and a bear market (Iteration 6). While returns varied (low of 12.5%, high of 222%), the floor is high. A “bad year” for this strategy is simply a year of lower-than-average positive returns, not capital destruction.

Test Configuration

  • Training period: 504 days
  • Test period: 252 days
  • Step size: 252 days
  • Number of iterations: 8
  • Number of Simulations per Iteration: 10,000
  • Overlap: No

NOTE: This strategy is intentionally designed to capture outlier returns during specific market conditions. Following the periods of exceptional performance, Monte Carlo forecasts may appear overly optimistic in subsequent iterations, consequently making the strategy appear to underperform during those iterations. This is expected behavior as the simulations incorporate recent extreme returns into their probability distributions.


Iteration 1 of 8

  • Training period: 2015-06-25 to 2017-06-23 (504 days)
  • Test period: 2017-06-26 to 2018-06-25 (252 days)

Return Characteristics

  • Probability of positive return: 55.95%
  • Positive returns: Mean: 0.6746%, Std: 1.7789%
  • Negative returns: Mean: -0.5415%, Std: 0.7215%

Top Significant Drawdown Periods (>20 calendar days)

RankTrading DaysCalendar DaysMax DrawdownStart DateEnd Date
142589.33%2017-09-112017-11-08
228426.56%2017-12-012018-01-12
329422.60%2018-04-172018-05-29
416232.15%2017-06-262017-07-19
514210.97%2017-08-162017-09-06

Results

  • Overall Max Drawdown: 9.33%
  • Number of drawdown periods found: 25
  • Largest period drawdown: 9.33% (Trading Days: 42, Calendar Days: 58, 2017-09-11 to 2017-11-08)
  • Actual Return: 46.67%, Forecast: 34.89%
  • Percentile: 64.5%
  • Actual CAGR: 46.67%, Forecast CAGR: 34.89%

Iteration 1 Results


Iteration 2 of 8

  • Training period: 2016-06-24 to 2018-06-25 (504 days)
  • Test period: 2018-06-26 to 2019-06-26 (252 days)

Return Characteristics

  • Probability of positive return: 56.35%
  • Positive returns: Mean: 0.7432%, Std: 1.9421%
  • Negative returns: Mean: -0.5905%, Std: 0.8565%

Top Significant Drawdown Periods (>20 calendar days)

RankTrading DaysCalendar DaysMax DrawdownStart DateEnd Date
137557.23%2018-10-302018-12-24
222325.49%2018-09-132018-10-15
336534.10%2019-04-252019-06-17

Results

  • Overall Max Drawdown: 7.23%
  • Number of drawdown periods found: 30
  • Largest period drawdown: 7.23% (Trading Days: 37, Calendar Days: 55, 2018-10-30 to 2018-12-24)
  • Actual Return: 45.38%, Forecast: 42.96%
  • Percentile: 53.1%
  • Actual CAGR: 45.38%, Forecast CAGR: 42.96%

Iteration 2 Results


Iteration 3 of 8

  • Training period: 2017-06-26 to 2019-06-26 (504 days)
  • Test period: 2019-06-27 to 2020-06-25 (252 days)

Return Characteristics

  • Probability of positive return: 54.96%
  • Positive returns: Mean: 0.7425%, Std: 1.5096%
  • Negative returns: Mean: -0.5521%, Std: 0.7072%

Top Significant Drawdown Periods (>20 calendar days)

RankTrading DaysCalendar DaysMax DrawdownStart DateEnd Date
121292.13%2019-09-042019-10-03

Results

  • Overall Max Drawdown: 7.38%
  • Number of drawdown periods found: 44
  • Largest period drawdown: 7.38% (Trading Days: 6, Calendar Days: 8, 2020-02-20 to 2020-02-28)
  • Actual Return: 222.94%, Forecast: 44.82%
  • Percentile: 100.0%
  • Actual CAGR: 222.94%, Forecast CAGR: 44.82%

Iteration 3 Results


Iteration 4 of 8

  • Training period: 2018-06-26 to 2020-06-25 (504 days)
  • Test period: 2020-06-26 to 2021-06-25 (252 days)

Return Characteristics

  • Probability of positive return: 58.53%
  • Positive returns: Mean: 0.9496%, Std: 2.8541%
  • Negative returns: Mean: -0.5430%, Std: 0.6533%

Top Significant Drawdown Periods (>20 calendar days)

RankTrading DaysCalendar DaysMax DrawdownStart DateEnd Date
160876.99%2020-10-132021-01-08
225364.26%2020-09-032020-10-09
320293.95%2021-01-262021-02-24
419253.46%2021-03-012021-03-26

Results

  • Overall Max Drawdown: 6.99%
  • Number of drawdown periods found: 25
  • Largest period drawdown: 6.99% (Trading Days: 60, Calendar Days: 87, 2020-10-13 to 2021-01-08)
  • Actual Return: 101.63%, Forecast: 109.08%
  • Percentile: 45.0%
  • Actual CAGR: 101.63%, Forecast CAGR: 109.08%

Iteration 4 Results


Iteration 5 of 8

  • Training period: 2019-06-27 to 2021-06-25 (504 days)
  • Test period: 2021-06-28 to 2022-06-27 (252 days)

Return Characteristics

  • Probability of positive return: 59.52%
  • Positive returns: Mean: 1.0855%, Std: 2.8572%
  • Negative returns: Mean: -0.6151%, Std: 0.7299%

Top Significant Drawdown Periods (>20 calendar days)

RankTrading DaysCalendar DaysMax DrawdownStart DateEnd Date
1476910.13%2021-12-292022-03-08
214213.54%2022-05-242022-06-14
320312.73%2021-09-032021-10-04

Results

  • Overall Max Drawdown: 10.13%
  • Number of drawdown periods found: 32
  • Largest period drawdown: 10.13% (Trading Days: 47, Calendar Days: 69, 2021-12-29 to 2022-03-08)
  • Actual Return: 71.68%, Forecast: 146.06%
  • Percentile: 10.0%
  • Actual CAGR: 71.68%, Forecast CAGR: 146.06%

Iteration 5 Results


Iteration 6 of 8

  • Training period: 2020-06-26 to 2022-06-27 (504 days)
  • Test period: 2022-06-28 to 2023-06-28 (252 days)

Return Characteristics

  • Probability of positive return: 58.73%
  • Positive returns: Mean: 0.8494%, Std: 1.3041%
  • Negative returns: Mean: -0.5914%, Std: 0.6578%

Top Significant Drawdown Periods (>20 calendar days)

RankTrading DaysCalendar DaysMax DrawdownStart DateEnd Date
166985.31%2022-10-252023-01-31
223342.47%2022-08-182022-09-21
317262.47%2022-06-302022-07-26
417241.49%2023-02-132023-03-09
518241.34%2023-05-012023-05-25

Results

  • Overall Max Drawdown: 7.29%
  • Number of drawdown periods found: 24
  • Largest period drawdown: 7.29% (Trading Days: 9, Calendar Days: 13, 2023-06-15 to 2023-06-28)
  • Actual Return: 12.51%, Forecast: 84.67%
  • Percentile: 0.4%
  • Actual CAGR: 12.51%, Forecast CAGR: 84.67%

Iteration 6 Results


Iteration 7 of 8

  • Training period: 2021-06-28 to 2023-06-28 (504 days)
  • Test period: 2023-06-29 to 2024-06-28 (252 days)

Return Characteristics

  • Probability of positive return: 55.95%
  • Positive returns: Mean: 0.6368%, Std: 0.7334%
  • Negative returns: Mean: -0.5036%, Std: 0.5664%

Top Significant Drawdown Periods (>20 calendar days)

RankTrading DaysCalendar DaysMax DrawdownStart DateEnd Date
121312.63%2024-04-052024-05-06

Results

  • Overall Max Drawdown: 2.63%
  • Number of drawdown periods found: 41
  • Largest period drawdown: 2.63% (Trading Days: 21, Calendar Days: 31, 2024-04-05 to 2024-05-06)
  • Actual Return: 72.53%, Forecast: 39.17%
  • Percentile: 94.0%
  • Actual CAGR: 72.53%, Forecast CAGR: 39.17%

Iteration 7 Results


Iteration 8 of 8

  • Training period: 2022-06-28 to 2024-06-28 (504 days)
  • Test period: 2024-07-01 to 2025-07-02 (252 days)

Return Characteristics

  • Probability of positive return: 55.56%
  • Positive returns: Mean: 0.5570%, Std: 0.7322%
  • Negative returns: Mean: -0.3931%, Std: 0.4595%

Top Significant Drawdown Periods (>20 calendar days)

RankTrading DaysCalendar DaysMax DrawdownStart DateEnd Date
115213.97%2025-04-212025-05-12
216232.26%2025-05-192025-06-11
320342.03%2024-12-242025-01-27
424351.96%2024-08-302024-10-04
516231.93%2025-02-042025-02-27

Results

  • Overall Max Drawdown: 10.33%
  • Number of drawdown periods found: 28
  • Largest period drawdown: 10.33% (Trading Days: 3, Calendar Days: 5, 2025-04-03 to 2025-04-08)
  • Actual Return: 68.50%, Forecast: 39.03%
  • Percentile: 93.7%
  • Actual CAGR: 68.50%, Forecast CAGR: 39.03%

Iteration 8 Results


Rolling Walk-Forward Test Summary

MetricValue
Average Actual Return80.23%
Average Forecast Return67.58%
Average Error12.64%
Average Percentile57.6%
Average Max Drawdown7.66%
Average Actual CAGR80.23%
Average Forecast CAGR67.58%

Returns Comparison

Drawdown Comparison

Drawdowns

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