Intuition The big pictureBoth of these are credit spreads — you get paid money upfront for accepting a limited risk. They are the calm, income-focused cousins of directional betting.
A bull put spread says: "I bet the stock stays UP or flat — pay me now, I'll keep the cash if I'm right."
A bear call spread says: "I bet the stock stays DOWN or flat — pay me now, I'll keep the cash if I'm right."
The WHY : selling an option collects premium, but a naked short option has scary unlimited risk. So you buy a cheaper, further-out option as insurance . The net result is money in your pocket today, with a capped worst case.
A credit spread is a two-leg position where you sell a more expensive option and buy a cheaper option of the same type and expiry. The net premium flows into your account (a credit ).
Two ingredients you must remember:
Sold leg = the option you're short = the one you want to expire worthless .Bought leg = the option you're long = your protection / insurance .
The distance between the two strikes is the width , W = ∣ K high − K low ∣ W = |K_{\text{high}} - K_{\text{low}}| W = ∣ K high − K low ∣
Definition Bull put spread
Sell a put at higher strike K S K_S K S P S P_S P S Buy a put at lower strike K B K_B K B P B P_B P B K B < K S K_B < K_S K B < K S Net credit received: C = P S − P B > 0 C = P_S - P_B > 0 C = P S − P B > 0
WHY does this profit when the stock rises?
A put you sold loses value as the stock climbs (people don't want the right to sell high when price is going up). Since you're net short puts, rising or flat price = you keep the credit.
Let S T S_T S T max ( K − S T , 0 ) \max(K - S_T, 0) max ( K − S T , 0 ) short the K S K_S K S long the K B K_B K B
Legs ( S T ) = max ( K B − S T , 0 ) ⏟ long − max ( K S − S T , 0 ) ⏟ short \text{Legs}(S_T) = \underbrace{\max(K_B - S_T,0)}_{\text{long}} - \underbrace{\max(K_S - S_T,0)}_{\text{short}} Legs ( S T ) = long max ( K B − S T , 0 ) − short max ( K S − S T , 0 )
Total profit = legs payoff + credit collected:
Π ( S T ) = max ( K B − S T , 0 ) − max ( K S − S T , 0 ) + C \Pi(S_T) = \max(K_B - S_T,0) - \max(K_S - S_T,0) + C Π ( S T ) = max ( K B − S T , 0 ) − max ( K S − S T , 0 ) + C
Three regions (Why each?):
Region
Puts state
Legs value
Profit
S T ≥ K S S_T \ge K_S S T ≥ K S both worthless
0 0 0 + C +C + C
K B ≤ S T < K S K_B \le S_T < K_S K B ≤ S T < K S only sold put ITM
− ( K S − S T ) -(K_S - S_T) − ( K S − S T ) C − ( K S − S T ) C-(K_S-S_T) C − ( K S − S T )
S T < K B S_T < K_B S T < K B both ITM, offset
− ( K S − K B ) -(K_S-K_B) − ( K S − K B ) C − W C - W C − W
Definition Bear call spread
Sell a call at lower strike K S K_S K S C S C_S C S Buy a call at higher strike K B K_B K B C B C_B C B K B > K S K_B > K_S K B > K S Net credit : C = C S − C B > 0 C = C_S - C_B > 0 C = C S − C B > 0
WHY does this profit when the stock falls?
A call you sold loses value as the stock drops. Net short calls ⇒ falling or flat price = keep the credit.
Long call value = max ( S T − K , 0 ) \max(S_T - K,0) max ( S T − K , 0 ) K S K_S K S K B K_B K B
Π ( S T ) = max ( S T − K B , 0 ) ⏟ long − max ( S T − K S , 0 ) ⏟ short + C \Pi(S_T) = \underbrace{\max(S_T - K_B,0)}_{\text{long}} - \underbrace{\max(S_T - K_S,0)}_{\text{short}} + C Π ( S T ) = long max ( S T − K B , 0 ) − short max ( S T − K S , 0 ) + C
Region
Calls state
Legs value
Profit
S T ≤ K S S_T \le K_S S T ≤ K S both worthless
0 0 0 + C +C + C
K S < S T ≤ K B K_S < S_T \le K_B K S < S T ≤ K B only sold call ITM
− ( S T − K S ) -(S_T-K_S) − ( S T − K S ) C − ( S T − K S ) C-(S_T-K_S) C − ( S T − K S )
S T > K B S_T > K_B S T > K B both ITM, offset
− ( K B − K S ) -(K_B-K_S) − ( K B − K S ) C − W C - W C − W
Worked example Bull put on stock at ₹100Sell 95-put for ₹4, buy 90-put for ₹1.5. So C = 4 − 1.5 = 2.5 C = 4 - 1.5 = 2.5 C = 4 − 1.5 = 2.5 W = 95 − 90 = 5 W = 95-90 = 5 W = 95 − 90 = 5
Why net credit? Sold leg richer than bought leg → cash in.Max profit = C = ₹ 2.5 = C = ₹2.5 = C = ₹2.5 ≥ 95 \ge 95 ≥ 95 Why? Both puts expire worthless, you keep the whole credit.Max loss = W − C = 5 − 2.5 = ₹ 2.5 = W - C = 5 - 2.5 = ₹2.5 = W − C = 5 − 2.5 = ₹2.5 ≤ 90 \le 90 ≤ 90 Why? Both puts fully ITM, spread worth − 5 -5 − 5 + 2.5 +2.5 + 2.5 Breakeven = 95 − 2.5 = ₹ 92.5 = 95 - 2.5 = ₹92.5 = 95 − 2.5 = ₹92.5 Why? At 92.5 the ₹2.5 credit exactly cancels the ₹2.5 intrinsic loss on the sold put.
Worked example Bear call on stock at ₹100Sell 105-call for ₹3, buy 110-call for ₹1. So C = 2 C = 2 C = 2 W = 5 W = 5 W = 5
Max profit = ₹ 2 = ₹2 = ₹2 ≤ 105 \le 105 ≤ 105 Why? Both calls worthless; keep credit.Max loss = 5 − 2 = ₹ 3 = 5 - 2 = ₹3 = 5 − 2 = ₹3 ≥ 110 \ge 110 ≥ 110 Why? Spread worth − 5 -5 − 5 + 2 +2 + 2 Breakeven = 105 + 2 = ₹ 107 = 105 + 2 = ₹107 = 105 + 2 = ₹107 Why? Sold call loses ₹2 intrinsic at 107, wiping the credit.
Worked example Forecast-then-VerifyYou believe Nifty won't drop below 22000. Sell 22000-put ₹150, buy 21800-put ₹90.
Forecast: credit? max loss? breakeven?
Verify: C = 60 C=60 C = 60 W = 200 W=200 W = 200 = 200 − 60 = 140 =200-60=140 = 200 − 60 = 140 = 22000 − 60 = 21940 =22000-60=21940 = 22000 − 60 = 21940 ≥ 22000 \ge 22000 ≥ 22000
Common mistake "Credit received = my max profit is unlimited."Why it feels right: you got paid, feels like free money that can only grow.
Fix: Max profit is fixed at the credit C C C defined-risk, defined-reward .
Common mistake "Bull put means I want the price to touch my strike."Why it feels right: the strike is the number you focus on.
Fix: You want S T S_T S T above the sold put strike so both puts expire worthless. Touching/crossing below the sold strike starts eating profit.
Common mistake Confusing which strike is sold vs bought.Fix mnemonic below. In a credit spread you always sell the closer (nearer-the-money, more valuable) option and buy the farther one . Rich sold, cheap bought ⇒ credit.
Common mistake "Max loss = width."Fix: Max loss = W − C = W - C = W − C W W W
Intuition They're mirror imagesBull put uses puts below-ish the price , bearish tilt uses calls above-ish the price . In BOTH:
You sell the near strike, buy the far strike .
Profit if price stays on the "safe" side of the sold strike.
MaxProfit = C \text{MaxProfit}=C MaxProfit = C MaxLoss = W − C \text{MaxLoss}=W-C MaxLoss = W − C risk/reward is W − C C \frac{W-C}{C} C W − C
Recall Feynman: explain to a 12-year-oldImagine you run a small bet stall. You promise to buy your friend's toy back if its price falls below ₹95 — and they pay you ₹4 for that promise (that's selling a put ). But to protect yourself, you make the same promise to someone else but only below ₹90, paying them ₹1.5 (buying a put ). You keep ₹2.5 today. If the toy stays expensive (above ₹95), nobody claims and you keep all ₹2.5 — happy! If it crashes hard (below ₹90), your two promises cancel out except a fixed ₹5 gap, so you lose at most ₹2.5. That's a bull put spread : get cash now, small capped risk, and you win when things stay UP. A bear call spread is the exact same trick flipped upside down — you win when things stay DOWN.
Mnemonic Remember the direction & the legs"Credit = Sell Near, Buy Far."
Bull Put → BP → Bullish, Puts . (Both start with the same letters as the vibe.)Bear Call → BC → Bearish, Calls ."Put a floor when Bullish, Cap the sky when Bearish. "
What type of spread (credit/debit) are bull put and bear call? Both are credit spreads — you receive net premium upfront.
In a bull put spread, which leg do you sell? The higher-strike put (the more expensive one); you buy the lower-strike put.
In a bear call spread, which leg do you sell? The lower-strike call (more expensive); you buy the higher-strike call.
Max profit of any credit spread? The
net credit C C C received.
Max loss formula for a credit spread? W − C W - C W − C , where
W W W is the strike width.
Breakeven of a bull put spread? K S − C K_S - C K S − C (sold put strike minus credit).
Breakeven of a bear call spread? K S + C K_S + C K S + C (sold call strike plus credit).
When does a bull put reach max profit? When
S T ≥ S_T \ge S T ≥ the sold put strike, so both puts expire worthless.
When does a bear call reach max profit? When
S T ≤ S_T \le S T ≤ the sold call strike, so both calls expire worthless.
Why buy the protective far leg at all? To cap the otherwise unlimited/large loss of the naked short option — it defines the risk.
Bull put spread profits when price does what? Rises or stays flat (above sold strike).
Bear call spread profits when price does what? Falls or stays flat (below sold strike).
Risk-to-reward ratio of a credit spread? W − C C \dfrac{W - C}{C} C W − C .
Credit vs Debit Spreads Bull Call and Bear Put Spreads (the debit-spread counterparts)Vertical Spreads Overview Selling Puts vs Naked Puts Option Payoff Diagrams Implied Volatility and Premium Iron Condor (bull put + bear call combined)
Credit spread: sell dear, buy cheap
Bought leg: long option, insurance
Profit if stock up or flat
Profit if stock down or flat
Intuition Hinglish mein samjhoDekho, bull put aur bear call dono credit spreads hain — matlab aapko paisa pehle hi mil jaata hai. Idea simple hai: aap ek option bechte ho (jo mehnga hai, isse premium milta hai) aur ek option khareedte ho (jo sasta hai, ye aapki insurance hai). Net mein cash aapke account mein aata hai. Bull put tab profit karta hai jab stock upar ya flat rahe (bullish view), aur bear call tab profit karta hai jab stock neeche ya flat rahe (bearish view).
Yaad rakhne ka rule ek hi hai: "Sell near, buy far" — jo strike price ke paas hai wahi bechna hai (kyunki wo mehnga hai), aur door wali khareedni hai protection ke liye. Bull put mein aap upar wali put bechte ho, neeche wali khareedte ho. Bear call mein aap neeche wali call bechte ho, upar wali khareedte ho.
Ab teen key numbers har baar ek jaise hote hain: Max profit = credit (jitna paisa mila utna hi max), Max loss = width minus credit (strikes ka gap minus jo credit mila), aur breakeven wahan hai jahan intrinsic loss credit ko exactly cancel kare. Isliye bull put ka breakeven = sold strike minus credit, aur bear call ka breakeven = sold strike plus credit.
Sabse badi galti jo log karte hain: sochte hain "paisa mila to profit unlimited hoga" — nahi bhai, profit fixed hai (sirf credit). Aur "max loss = width" bhi galat hai, kyunki jo credit mila wo loss ko kam kar deta hai. Ye strategies un logon ke liye best hain jinko strong direction nahi pata, bas ye pata hai ki stock ek side pe nahi jaayega — limited risk, steady income.
