Understand bull call spread — Hinglish notes

5.4.3 · Stock-Market › Options Strategies

YEH HAI KYA?

YEH SIRF CALL KHARIDNE KI JAGAH KYUN KARO? Ek plain long call ki poori cost $P_{1}$ hoti hai. $K_{2}$ call sell karke tum $P_{2}$ pocket karte ho, cost ghatakar $D$ kar dete ho. Iska price: $K_{2}$ ke upar tum aur profit nahi karte — short call tumhare gains cap kar deti hai.

PAYOFF KAISE BANTA HAI (scratch se derive karo)

Expiry par, ek long call pay karta hai $max (S - K_{1}, 0)$ aur ek short call pay karta hai $- max (S - K_{2}, 0)$ . Dono add karo, phir aaj pay kiya hua net debit subtract karo:

$Payoff (S) = max (S - K_{1}, 0) - max (S - K_{2}, 0) - D$

Ab spot $S$ ko strikes se compare karke teen regions mein baanto.

Region 1 — $S \leq K_{1}$ (dono calls expire worthless): $Payoff = 0 - 0 - D = - D$ Kyun? Kisi bhi call ki intrinsic value nahi hai; tum sirf jo pay kiya woh lose karte ho. Yeh max loss hai.

Region 2 — $K_{1} < S < K_{2}$ (sirf long call ITM hai): $Payoff = (S - K_{1}) - 0 - D = S - K_{1} - D$ Kyun? Payoff $S$ ke saath 1-for-1 badhta hai — yeh sloped part hai.

Region 3 — $S \geq K_{2}$ (dono calls ITM): $Payoff = (S - K_{1}) - (S - K_{2}) - D = (K_{2} - K_{1}) - D$ Kyun? $S$ ke terms cancel ho jaate hain — gain strike width $(K_{2} - K_{1})$ minus cost par freeze ho jaata hai. Yeh max profit hai.

Worked Examples

Common Mistakes (Steel-man + Fix)

Flashcards

Bull call spread — kaunse do legs?

Lower-strike call

K_{1}

buy karo, higher-strike call

K_{2}

sell karo (same expiry). Net debit.

Bull call spread net debit formula

D = P_{1} - P_{2}

(long-call premium minus short-call premium).

Bull call spread ki max loss

Net debit

D

, jab

S \leq K_{1}

ho.

Bull call spread ka max profit

(K_{2} - K_{1}) - D

(strike width minus debit), jab

S \geq K_{2}

ho.

Bull call spread ka breakeven

S^{*} = K_{1} + D

Max profit + Max loss kiske barabar hota hai?

Strike width

K_{2} - K_{1}

Higher-strike call kyun sell karte hain?

Premium collect karne ke liye aur net cost kam karne ke liye, upside cap karne ke exchange mein.

Kya bull call spread mein risk unlimited hoti hai?

Nahi — short call, long call se covered hai; loss debit tak cap hai.

Sloped 1-for-1 payoff region kab hota hai?

Jab

K_{1} < S < K_{2}

ho, payoff

= S - K_{1} - D

Strikes widen karne ka cost aur profit par effect

Zyada debit, zyada max profit, zyada breakeven — bada move chahiye.

Recall Feynman: 12-saal ke bachche ko samjhao

Socho tumne ₹80 bet lagaya ki tumhare dost ki height wall par ek neeche wale mark ko cross karegi. Bet sasta karne ke liye, tum promise bhi karte ho ki agar woh upar wale mark ko cross kare, toh extra tum wापस doge — toh ek neighbor tumhe ab ₹120 de deta hai. Tumne total sirf ₹80 kharch kiye. Agar dost neeche wala mark cross kare toh tum jeeto, lekin upar wala mark cross hone ke baad tum aur nahi jeetto (kyunki neighbor ka debt hai). Worst case sirf ₹80 lose hote hain. Sasta, safe, capped.

Connections

Long Call — uncapped, zyada mehenga cousin.
Bull Put Spread — same bullish view credit ke zariye (puts se).
Bear Call Spread — mirror image, bearish.
Option Premium and Intrinsic Value — kyun $P_{1} > P_{2}$ .
Payoff Diagrams — kinked payoffs kaise plot karein.
Debit vs Credit Spreads — cash-flow classification.