Drawdown and Volatility Analyzer
Analyze historical drawdown depth, peak-to-trough duration, recovery phases, and annualized return volatility from price or return series.
Series Configuration
Format is strictly validated; rows that do not match are flagged.
Peak: 2024-01-30 → Trough: 2024-02-12
Sample stdev: 2.425%
Current drawdown from peak
Asset Valuation Trajectory
Cumulative index trajectory with high-watermark peak progression.
Underwater Drawdown Profile
Depth below running peak over time with maximum drawdown trough highlighted.
Return & Volatility Summary Statistics
Largest Drawdown Episodes
Decomposed decline periods sorted by percentage depth from peak.
| # | Peak Date | Trough Date | Depth | Recovery Date | Peak → Trough | Trough → Recovery | Total Duration |
|---|---|---|---|---|---|---|---|
| 1 | 2024-01-30 | 2024-02-12 | -19.49% | 2024-02-23 | 13 d | 11 d | 24 d |
| 2 | 2024-01-08 | 2024-01-16 | -11.44% | 2024-01-23 | 8 d | 7 d | 15 d |
| 3 | 2024-02-27 | 2024-03-06 | -10.89% | Not yet recovered | 8 d | — | 10 d |
| 4 | 2024-01-24 | 2024-01-25 | -0.63% | 2024-01-26 | 1 d | 1 d | 2 d |
How It Works
Peak_t = max(V_1...V_t) | DD_t = V_t / Peak_t - 1 | σ_ann = s × √(periods/yr)Tracks continuous high-watermarks, decomposes drawdown duration phases, and scales return variance to an annualized basis using the square-root-of-time convention.
- Peak_t
- Running high watermark: the maximum asset value observed up to period t.
- DD_t
- Percentage drawdown from the running peak: V_t / Peak_t - 1 (non-positive).
- Gain Required
- Percentage return on trough value required to restore peak parity: 1 / (1 + DD) - 1.
- s
- Sample standard deviation of simple periodic returns with n - 1 degrees of freedom.
- σ_ann
- Annualized volatility: sample standard deviation multiplied by √(periods per year).
- Periods are assumed to be evenly spaced across the observation window (e.g., daily trading days or calendar months).
- Returns are simple periodic returns (V_t / V_{t-1} - 1) rather than log returns.
- Periodic returns are assumed to be independent and identically distributed for annualization.
- Cash series represents a consistent capital base without unadjusted external deposits or withdrawals.
Worked Example
Numerical Walkthrough: [100, 120, 90, 110, 130]
Consider an asset series observed across five consecutive periods with values 100, 120, 90, 110, and 130.
- Period 1: Value = 100. Running Peak = 100. Drawdown = 0.00%.
- Period 2: Value = 120. Running Peak = 120. Drawdown = 0.00% (New Peak established).
- Period 3: Value = 90. Running Peak = 120. Drawdown = 90 / 120 - 1 = -25.00% (Trough reached).
- Period 4: Value = 110. Running Peak = 120. Drawdown = 110 / 120 - 1 = -8.33% (Partial recovery).
- Period 5: Value = 130. Running Peak = 130. Drawdown = 0.00% (Fully recovered; new peak).
- Maximum Drawdown: -25.00% (Peak: Period 2, Trough: Period 3, Recovery: Period 5).
- Gain to Recover: 1 / (1 - 0.25) - 1 = 1 / 0.75 - 1 = +33.33% required on remaining capital.
Common Mistakes
Confusing drawdown with total loss: An investment up +200% overall can still experience a severe -35% drawdown from its intermediate peak.
Annualizing monthly volatility with daily factors: Multiplying monthly return standard deviation by √252 instead of √12 erroneously inflates annualized volatility.
Using too short a sample: Calculating standard deviation on fewer than 30 observations carries wide statistical error bands and unstable variance estimates.
Ignoring dividends, fees, or external contributions: Injections or withdrawals distort calculated peaks and drawdowns unless cash flows are adjusted.
Mixing percent and decimal returns: Entering 5.0 instead of 0.05 under decimal mode treats a 5% periodic move as a 500% gain.
Treating historical volatility as a forward forecast: Past variance describes historical dispersion; market regimes, liquidity, and shock distributions shift over time.
Frequently Asked Questions
What is maximum drawdown (MDD)?+
Maximum drawdown measures the largest percentage decline from a peak to a subsequent trough before a new peak is reached. It quantifies historical downside magnitude and capital degradation during adverse market episodes.
Why does recovering from a drawdown require a larger percentage gain?+
Losses directly contract the underlying capital base. When an asset drops 25% from 120 to 90, subsequent returns compound only on 90. Returning to 120 requires a $30 gain on 90, which is exactly +33.33% (1 / (1 - 0.25) - 1). Explore this asymmetry in the Loss Recovery Calculator.
How does volatility differ from drawdown?+
Volatility measures the statistical dispersion (standard deviation) of periodic price fluctuations around their average return. Drawdown measures the cumulative drop from an established historical peak, capturing path-dependent capital impairment.
What format of data can I upload or paste?+
You can upload a CSV file or paste lines of date and value (or return) pairs separated by commas, semicolons, or tabs. The analyzer accepts price series or periodic returns and supports YYYY-MM-DD, DD/MM/YYYY, and MM/DD/YYYY dates.
Why do we annualize volatility?+
Annualization normalizes return volatility across different observation frequencies (daily, weekly, monthly) using the square root of time rule (√252 for daily, √52 for weekly, √12 for monthly) so differing asset series can be compared on an annualized basis.
Does WealthSyntax store or transmit uploaded data?+
No. All parsing, validation, statistical analysis, and SVG rendering execute entirely client-side inside your browser sandbox. No telemetry, price queries, or data payloads are ever transmitted to any server.
Methodology & Tool Scope
What This Tool Does NOT Cover
To maintain mathematical rigor, this tool isolates capital recovery mechanics and deliberately excludes:
- •Benchmark comparison, tracking error, and beta relative to an index.
- •Risk-adjusted performance ratios (Sharpe ratio, Sortino ratio, Calmar ratio).
- •Taxes on realized capital losses and tax-loss harvesting offsets.
- •Trading commissions, bid-ask spread friction, and management expense ratios.
- •Deposits, withdrawals, and cash flow timing inside the valuation series.
- •Predictive forecasting, value-at-risk (VaR), or parametric stress-testing projections.
WealthSyntax provides educational analyzers and general information. Results are estimates based on user-entered assumptions and are not financial, investment, tax, legal, or regulatory advice. WealthSyntax does not recommend securities, funds, brokers, or trading strategies.This tool analyzes historical data you provide. It does not generate buy or sell signals and is not a prediction of future results.
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