Intuition The one-sentence coreA maximum drawdown limit is a pre-decided rule that says "if my account falls X% from its highest point, I stop trading" — because the deeper you fall, the exponentially harder it becomes to climb back, and staying alive to trade tomorrow beats squeezing profit today.
A drawdown is the drop in your equity from a previous peak (the highest value your account ever reached) down to a later trough (a low point), before a new peak is made.
Peak = highest equity so far.Trough = lowest equity after that peak, before recovery.Maximum Drawdown (MDD) = the largest peak-to-trough drop over a whole period.
Definition Maximum Drawdown LimitA maximum drawdown limit is a risk rule you set in advance : the biggest percentage loss from peak equity you are willing to tolerate before you stop trading , cut size, or review your strategy.
The whole idea rests on one brutal fact: losses and gains are not symmetric.
If you lose a fraction d d d ( 1 − d ) (1-d) ( 1 − d ) back to where you started (multiply by 1 1 − d \frac{1}{1-d} 1 − d 1 gain g g g
( 1 − d ) ( 1 + g ) = 1 (1-d)\,(1+g) = 1 ( 1 − d ) ( 1 + g ) = 1
Solve for g g g
1 + g = 1 1 − d ⇒ g = d 1 − d 1 + g = \frac{1}{1-d} \quad\Rightarrow\quad \boxed{g = \frac{d}{1-d}} 1 + g = 1 − d 1 ⇒ g = 1 − d d
Watch how g g g d d d
Drawdown d d d
Recovery g = d 1 − d g = \frac{d}{1-d} g = 1 − d d
10%
11.1%
20%
25.0%
50%
100% (double!)
90%
900% (10×!)
Intuition Why the asymmetry feels unfairThe percentage down is computed on a big number (your peak), but the percentage up is computed on a small number (what's left). Small base means you need a huge percentage to catch up. This is exactly why a drawdown limit protects the base before it shrinks.
Worked example Example 1 — Compute MDD from an equity curveEquity over 6 days: 100 , 120 , 90 , 110 , 80 , 130 100,\;120,\;90,\;110,\;80,\;130 100 , 120 , 90 , 110 , 80 , 130
Track the running peak and drawdown:
Day
Equity
Peak
D D t DD_t D D t
1
100
100
0%
2
120
120
0%
3
90
120
( 120 − 90 ) / 120 = 25 % (120-90)/120 = 25\% ( 120 − 90 ) /120 = 25%
4
110
120
( 120 − 110 ) / 120 = 8.3 % (120-110)/120 = 8.3\% ( 120 − 110 ) /120 = 8.3%
5
80
120
( 120 − 80 ) / 120 = 33.3 % (120-80)/120 = 33.3\% ( 120 − 80 ) /120 = 33.3%
6
130
130
0% (new peak)
MDD = 33.3% (day 5).
Why this step? We always compare to the highest peak seen so far (120), not to yesterday's value — the deepest wound is measured from the highest point before it.
Worked example Example 2 — Recovery neededYour account fell 33.3% (from Example 1). Gain to break even?
g = 0.333 1 − 0.333 = 0.333 0.667 = 0.50 = 50 % g = \frac{0.333}{1 - 0.333} = \frac{0.333}{0.667} = 0.50 = 50\% g = 1 − 0.333 0.333 = 0.667 0.333 = 0.50 = 50% Why this step? Plug d = 0.333 d=0.333 d = 0.333 g = d 1 − d g=\frac{d}{1-d} g = 1 − d d one-half gain — proof the pain compounds.
Worked example Example 3 — Setting a limit as a ruleYou decide MDD limit = 20%. Peak equity = ₹5,00,000.
Stop-trading level = 5 , 00 , 000 × ( 1 − 0.20 ) = ₹ 4 , 00 , 000 = 5,00,000 \times (1 - 0.20) = ₹4,00,000 = 5 , 00 , 000 × ( 1 − 0.20 ) = ₹4 , 00 , 000 Why this step? We converted a percentage rule into an actual rupee tripwire you can watch live.
Recall Predict before you read the answerA trader lets losses run to a 50% drawdown . He then thinks: "I only need a 50% gain to recover." Is he right? Forecast, then check with g = d 1 − d g=\frac{d}{1-d} g = 1 − d d
Answer: Wrong. g = 0.5 1 − 0.5 = 0.5 0.5 = 1.0 = 100 % g = \frac{0.5}{1-0.5} = \frac{0.5}{0.5} = 1.0 = 100\% g = 1 − 0.5 0.5 = 0.5 0.5 = 1.0 = 100% double what remains, not gain 50%. This misjudgement is exactly why drawdown limits exist.
Common mistake "A 30% loss just needs a 30% gain to recover."Why it feels right: Symmetry is our brain's default — down 30, up 30, back to start. Percentages look like they should cancel.
The fix: They cancel only in rupees on the same base , not in percentages on different bases . Down 30% is on the big peak; the recovery % is on the shrunken remainder. Use g = d 1 − d g=\frac{d}{1-d} g = 1 − d d 42.9% gain.
Common mistake "I'll set my drawdown limit huge (60%) so I never get stopped out."Why it feels right: A loose limit means more room, fewer annoying halts, feels like freedom.
The fix: A 60% DD needs a 150% return to recover — most strategies never make it back. The limit is for survival , not comfort. Tight limits (10–20%) keep recovery mathematically feasible.
Common mistake "Drawdown is measured from where I started."Why it feels right: "How much am I down vs my deposit" is the number people talk about.
The fix: MDD is measured from the running peak , because that's the height from which the psychological and mathematical fall happens. Measuring from start hides mid-run damage.
Intuition If you remember only two things
g = d 1 − d g = \frac{d}{1-d} g = 1 − d d Set the limit in advance and honour it — a drawdown limit only works if it's decided before emotions hit, and it triggers action (stop/reduce size).
Mnemonic "Deep Holes Dig Deeper"D rawdown = fall from H ighest peak; the D eeper you go, the D eeper the recovery hole — so cap it early. (D-H-D-D)
Recall Feynman: explain to a 12-year-oldImagine you're climbing a ladder and you fall. If you fall from step 10 down to step 5, you dropped half the steps. But to get back up, you must climb 5 steps again — and from step 5, that's doubling your current height! The higher you were and the further you fell, the more exhausting the climb back. A drawdown limit is your parent saying: "If you slip past step 8, stop and rest — don't keep falling, because climbing back from the bottom is nearly impossible." Small slips are easy to fix; big falls almost never get fixed. So you protect yourself before you fall too far.
What is a drawdown? The percentage drop in equity from a previous peak down to a later trough before a new peak is made.
What is Maximum Drawdown (MDD)? The largest peak-to-trough equity decline over a period, measured as (Peak − Trough)/Peak.
What is a maximum drawdown limit? A pre-set rule for the biggest % fall from peak equity you'll tolerate before stopping or cutting trading size.
Formula for gain needed to recover from a drawdown d? g = d/(1−d).
Recovery gain needed after a 20% drawdown? 25% (0.20/0.80).
Recovery gain needed after a 50% drawdown? 100% — you must double the remaining capital.
Why are losses and gains asymmetric? The loss % is on the large peak base; the recovery % is on the smaller surviving base, so a larger % is needed to catch up.
Drawdown at time t is measured relative to what? The running maximum (peak) equity up to that time, not the starting equity.
Why prefer a tight drawdown limit (10–20%)? Recovery stays mathematically feasible (25% or less); loose limits (e.g. 60%) demand impractical 150% returns.
Peak = ₹5,00,000, MDD limit 20%: at what equity do you stop? ₹4,00,000 = 5,00,000 × (1 − 0.20).
Peak equity - highest so far
Max Drawdown Limit - stop rule
Recovery gain g = d div 1-d
DD = Peak - Equity div Peak
Intuition Hinglish mein samjhoDekho, drawdown ka matlab hai — tumhara account jis sabse highest point (peak) tak gaya tha, ussey kitna neeche gir gaya. Aur maximum drawdown matlab uss poore period me sabse bada gir. Ab maximum drawdown limit ek pehle se decide kiya hua rule hai: "Agar mera account peak se X% neeche gir gaya, to main trading rok dunga." Yeh rule emotions ko control karne ke liye hota hai, taaki loss run na kare.
Sabse important baat ek chhota sa formula hai: agar tum d d d g = d 1 − d g = \frac{d}{1-d} g = 1 − d d 100% chahiye, yaani paisa double karna padega! Kyun? Kyunki loss ka percentage bade base (peak) par lagta hai, aur recovery ka percentage chhote bache-huye paise par. Isliye gehra girna exponentially mehenga hota hai.
Isliye smart traders limit tight rakhte hain — 10% se 20%. Loose limit (jaise 60%) rakhne ka mann karta hai kyunki "room" milta hai, par 60% se recover karne ke liye 150% return chahiye, jo lagbhag impossible hai. Rule simple hai: peak se limit % neeche ka ek rupee-level nikaalo (jaise peak ₹5,00,000 aur 20% limit to ₹4,00,000 par ruk jao), aur uss level par bina soche stop ya size kam karo. Yaad rakho — market me kal trade karne ke liye zinda rehna, aaj ke profit se zyada zaroori hai.
