What Is a Worked Example of Drawdown Risk?

Direct answer

Drawdown risk is the possibility that your account equity will fall by a large amount from a prior peak. A worked example makes this concrete by choosing a starting equity, a path of equity values (or returns), and then computing a drawdown measure under stated assumptions.

In this article, the worked example uses a simplified, fully specified equity path and assumes no real-time data, so you can independently verify each arithmetic step.

Mechanism and definition

Equity is the value of your account including profits and losses. Peak equity is the highest equity value observed up to a point in time. Drawdown at a given time is the percentage drop from the most recent peak.

A common way to quantify it is maximum drawdown over a period: the largest drawdown percentage that occurs at any point during that period.

Drawdown risk then refers to how large that maximum drawdown could be given the conditions that generate the equity path (market volatility, strategy behavior, execution quality, and costs). In other words, it is about the downside magnitude, not about future certainty.

Important separation:

• Stable mechanics: how you compute drawdown from equity and peaks.
• Variable conditions: what future equity path you might experience in real markets.

Worked example (numerical)

Assume the following, stated explicitly:

1. You start with $10,000 equity at time 0.
2. Over the next 5 time points, the account equity takes these values:
   • t1: $10,500
   • t2: $10,200
   • t3: $9,800
   • t4: $11,000
   • t5: $9,600
3. Drawdown percentage is computed as:
   • drawdown% = (peak − equity) / peak × 100
4. Peak equity at each time is the highest equity observed so far.

Now compute step by step:

• At t1: peak = 10,500. drawdown% = (10,500 − 10,500)/10,500 = 0%
• At t2: peak is still 10,500. drawdown% = (10,500 − 10,200)/10,500 × 100 = 2.857…%
• At t3: peak is still 10,500. drawdown% = (10,500 − 9,800)/10,500 × 100 = 6.666…%
• At t4: equity is 11,000, so peak updates to 11,000. drawdown% = (11,000 − 11,000)/11,000 = 0%
• At t5: peak is 11,000. drawdown% = (11,000 − 9,600)/11,000 × 100 = 12.727…%

Therefore, maximum drawdown across t1–t5 is the largest drawdown%, which is about 12.73%.

How this becomes “drawdown risk”:

• Under the stated equity path assumptions, the risk magnitude (in the sense of potential worst observed drop in that path) is ~12.73%.
• In real usage, you would not know the future equity path; you would assess how different plausible conditions could produce different drawdowns.

Evidence, limitations, and risks

Even with correct arithmetic, drawdown risk estimates can fail for material reasons:

1. Assumptions about the equity path may not hold. The worked example hard-codes equity outcomes. Real markets can produce different sequences, including deeper declines.

2. Costs and execution can worsen equity outcomes. The example assumes equity values are already known. In practice, spreads, commissions, rollover, slippage, and stop/limit execution quality can change the realized path.

3. Changing volatility alters the distribution of returns. Drawdowns can accelerate in fast, illiquid conditions. Historical relationships do not guarantee future behavior.

4. A common failure mode is “peak definition” misunderstanding. If you compute drawdown from an incorrect peak (for example, a different window or baseline), you can get a materially different maximum drawdown.

5. Single-period measures can hide recovery dynamics. Maximum drawdown captures the worst drop but not how quickly equity recovers or how much risk was present before the peak.

Verification and next question

You can independently verify this worked example by recomputing each drawdown% using the formula (peak − equity) / peak × 100 and tracking which peak applies at each time point. If any intermediate value differs, it likely comes from a different assumption about the peak.

Next question to clarify independently: which drawdown definition you are using (for example, maximum drawdown over a window, drawdown at a point, or time-under-water measures), because different definitions can produce different “drawdown risk” conclusions even when equity values are the same.