Understand calls and puts — Hinglish notes

5.2.1 · Stock-Market › Options Basics

Overview

Options aise contracts hain jo tumhe right dete hain, lekin obligation nahi, kisi underlying asset (usually ek stock) ko ek predetermined strike price par buy ya sell karne ka, expiration se pehle ya expiration par. Do fundamental types hain — calls aur puts — jo opposite directional bets represent karte hain.

[!intuition] Core Mental Model

Options ko insurance ya reservations ki tarah socho:

Call option = Ek reservation hai kuch aaj ki price par BUY karne ka, chahe kal price upar chali jaye. Tum bet kar rahe ho ki asset UP jayegi.
Put option = Ek insurance policy hai jo tumhe kuch aaj ki price par SELL karne deti hai, chahe market crash ho jaye. Tum bet kar rahe ho ki asset DOWN jayegi.

YE EXIST KYUN KARTE HAIN? Options direction ko commitment se alag karte hain. Tum limited downside ke saath (sirf itna hi lose hoga jitna premium pay kiya) ek market view express kar sakte ho, aur unlimited upside (calls) ya substantial downside protection (puts) bhi rakhte ho.

Key asymmetry: Tumhara maximum loss premium paid par capped hai, lekin profit potential theoretically unlimited (call) ya large (put, zero tak) ho sakta hai.

[!definition] Call Option

Ek call option ek contract hai jo holder ko underlying asset ko strike price $K$ par buy karne ka RIGHT deta hai, expiration se pehle ya expiration par.

Components:

Underlying asset: Woh stock/commodity jise option control karta hai (usually 100 shares per contract)
Strike price ( $K$ ): Woh price jis par tum buy kar sakte ho
Premium ( $C$ ): Woh amount jo tum upfront pay karte ho is right ke liye
Expiration date: Aakhri din jab tak option valid hai
Long call: Tum call BUY karte ho (bullish)
Short call: Tum call SELL karte ho (bearish ya neutral, exercise hone par sell karne ki obligation hoti hai)

[!definition] Put Option

Ek put option ek contract hai jo holder ko underlying asset ko strike price $K$ par sell karne ka RIGHT deta hai, expiration se pehle ya expiration par.

Components:

Strike price ( $K$ ): Woh price jis par tum sell kar sakte ho
Premium ( $P$ ): Woh amount jo tum upfront pay karte ho is right ke liye
Long put: Tum put BUY karte ho (bearish)
Short put: Tum put SELL karte ho (bullish ya neutral, exercise hone par buy karne ki obligation hoti hai)

[!formula] Payoff Derivation from First Principles

Long Call Payoff

Setup: Tum aaj premium $C$ pay karte ho strike $K$ par buy karne ke right ke liye. Expiration par, stock price $S_{T}$ hai.

Decision logic:

Agar $S_{T} > K$ : Exercise karo! $K$ par buy karo, turant $S_{T}$ par sell karo, profit = $S_{T} - K$
Agar $S_{T} \leq K$ : Exercise mat karo (market se upar buy karne par loss hoga), expire worthless hone do

Payoff at expiration: $Intrinsic Value = max (S_{T} - K, 0)$

Profit/Loss (premium paid account karte hue): $P/L_{call} = max (S_{T} - K, 0) - C$

YE FORMULA KYUN? $max$ function optionality capture karta hai: tum sirf tab exercise karte ho jab profitable ho. $- C$ sunk cost ke liye adjust karta hai.

Breakeven: $S_{T} = K + C$ (stock itna upar jaana chahiye ki strike aur premium dono cover ho jayein)

Long Put Payoff

Setup: Tum aaj premium $P$ pay karte ho strike $K$ par sell karne ke right ke liye. Expiration par, stock price $S_{T}$ hai.

Decision logic:

Agar $S_{T} < K$ : Exercise karo! Market price $S_{T}$ par buy karo, put use karke $K$ par sell karo, profit = $K - S_{T}$
Agar $S_{T} \geq K$ : Exercise mat karo (market se neeche sell karne par loss hoga), expire worthless hone do

Payoff at expiration: $Intrinsic Value = max (K - S_{T}, 0)$

Profit/Loss: $P/L_{put} = max (K - S_{T}, 0) - P$

Breakeven: $S_{T} = K - P$ (stock itna neeche jaana chahiye ki tumhara gain premium se zyada ho)

[!example] Worked Example 1: Long Call

Scenario: Tum XYZ stock par ek call option buy karte ho.

Current stock price: $50
Strike price $K = 55$
Premium paid $C = 3$
Expiration: 1 month

Question: Tumhara P/L kya hoga agar stock (a) $60, (b)$ 55, (c) $50 par end ho?

Solution:

(a) $S_{T} = 60$ :*

Intrinsic value = $max (60 - 55, 0) = 5$
P/L = $5 - 3 = + 2$ per share = $200 profit (per contract of 100 shares)
KYUN? Stock strike + premium se upar gayi, tum in the money ho

(b) $S_{T} = 55$ :

Intrinsic value = $max (55 - 55, 0) = 0$
P/L = $0 - 3 = - 3$ per share = $300 loss
KYUN? Expiration par at-the-money hone par koi intrinsic value nahi, pura premium lose ho jaata hai

(c) $S_{T} = 50$ :

Intrinsic value = $max (50 - 55, 0) = 0$
P/L = $0 - 3 = - 3$ per share = $300 loss
KYUN? Stock itni nahi badhi (ya neeche gayi), option worthless expire ho gaya

Breakeven calculation: $K + C = 55 + 3 = 58$ . Break even karne ke liye stock $58 tak pahunchni chahiye.

[!example] Worked Example 2: Long Put

Scenario: Tum ABC stock par ek put option buy karte ho.

Current stock price: $100
Strike price $K = 95$
Premium paid $P = 4$
Expiration: 2 months

Question: Tumhara P/L kya hoga agar stock (a) $85, (b)$ 95, (c) $105 par end ho?

Solution:

(a) $S_{T} = 85$ :

Intrinsic value = $max (95 - 85, 0) = 10$
P/L = $10 - 4 = + 6$ per share = $600 profit
KYUN? Stock strike se kaafi neeche giri, tumhari insurance kaam aayi

(b) $S_{T} = 95$ :

Intrinsic value = $max (95 - 95, 0) = 0$
P/L = $0 - 4 = - 4$ per share = $400 loss
KYUN? At-the-money, koi intrinsic value nahi, premium lost

(c) $S_{T} = 105$ :

Intrinsic value = $max (95 - 105, 0) = 0$
P/L = $0 - 4 = - 4$ per share = $400 loss
KYUN? Stock upar gayi, put worthless hai (tum $95 p a r k y u n se l l k a r o g e j abma r k e t$ 105 hai)

Breakeven calculation: $K - P = 95 - 4 = 91$ . Profit ke liye stock $91 se neeche jaani chahiye.

[!example] Worked Example 3: Comparing Call vs Put on Same Stock

Scenario: DEF stock $50 par trade kar raha hai. Tum buy kar sakte ho:

Call: $K = 52$ , $C = 2$
Put: $K = 48$ , $P = 2$

Agar stock $60 par jaaye:

Call P/L = $max (60 - 52, 0) - 2 = 8 - 2 = + 6$ ✅
Put P/L = $max (48 - 60, 0) - 2 = 0 - 2 = - 2$ ❌

Agar stock $40 par jaaye:

Call P/L = $max (40 - 52, 0) - 2 = - 2$ ❌
Put P/L = $max (48 - 40, 0) - 2 = 8 - 2 = + 6$ ✅

YE KYUN MATTER KARTA HAI: Direction hi sab kuch hai. Call = bullish, Put = bearish. Philosophy mein ye dono mirror images hain.

[!mistake] Common Misconception: "Options are Obligations"

Galat idea: "Agar main ek option buy karta hoon, to mujhe zaroor exercise karna hoga."

Ye sahi kyun lagta hai: "Contract" word ek binding commitment suggest karta hai, aur tum upfront paisa pay kar rahe ho.

Steel-man: Confusion isliye aata hai kyunki seller (short side) obligated HOTA HAI agar buyer exercise kare. Lekin buyer (long side) ke roop mein, tum sirf ek right purchase kar rahe ho.

Fix:

Long (buy) = RIGHT, obligation nahi. Tum walk away kar sakte ho, sirf premium lose hoga.
Short (sell) = OBLIGATION. Exercise hone par tumhe fulfill karna hi hoga.

Mnemonic: "Long = Liberty, Short = Shackled."

[!mistake] Confusing Intrinsic Value with Profit

Galat idea: "Mere call ki intrinsic value $5 hai, t o main e$ 5 banaye."

Ye sahi kyun lagta hai: Math dikhata hai $S_{T} - K = 5$ , jo profit jaisa lagta hai.

Steel-man: Intrinsic value gross payoff HAI, lekin tum sunk cost bhool gaye.

Fix: Hamesha premium paid subtract karo: $Profit = Intrinsic Value - Premium$

Agar premium $3 t ha, t u mha r an e tp r o f i t$ 5 - 3 = 2 $hai,$ 5 nahi.

[!recall]- Feynman Explanation (Ek 12-Saal Ke Bacche Ko Samjhao)

Imagine karo tum ek carnival mein ho. Ek game hai jahan tum ek giant teddy bear jeet sakte ho, lekin bear ki price har ghante badlati hai — kabhi $10, k abhi$ 50, kabhi $5.

Call option aisa hai: Tum $2 p a y k a r k ee k s p ec ia l t i c k e tl e t e h o j i s m e l ik hahai " M aini s t e dd y b e a r k o$ 20 mein agley hafte kabhi bhi khareed sakta hoon, chahe actual price kuch bhi ho." Agar agli Tuesday bear ki cost $40 h o, t u ma p na t i c k e t u se k a r t e h o,$ 20 pay karte ho, aur $40 w a l ab e a r l e t e h o — t u mj ee t e! A g a r b e a r p oor e ha f t es i r f$ 15 ki rahi, tum apna $2 wala ticket phenk dete ho aur bear normally khareed lete ho.

Put option iska ulta hai: Tum $2 p a y k a r k ee k t i c k e tl e t e h o j i s m e l ik hahai " M aina p na t e dd y b e a r i s ha f t e k abhibhi$ 20 mein sell kar sakta hoon, chahe wo kitne ka bhi ho." Agar tumhare paas pehle se bear hai aur carnival unhe sirf $5 m e in w a p a s l e na s h u r u k a r d e, t u ma p na t i c k e t u se k a r t e h o a u r$ 20 lete ho — tumne khud ko protect kar liya! Agar bear ki value $30 h o j aa y e, t u m t i c k e t u se nahik a r t e (k y u n$ 20 mein becho jab $30 mi l s ak t ahai ?), a u r s i r f$ 2 lose karte ho.

Key point: $2 ki ticket (premium) se zyada tum lose nahi kar sakte. Lekin agar bet kaam aayi, to tum bahut zyada jeet sakte ho!

[!mnemonic] Remember Calls vs Puts

CALL = Can Acquire Low, Long bullish

Call = Calls jaati hain UP (letter C ek smile hai, upar jaata hua!)
Tum kisi ko CALL karte ho unhe OVER bulane ke liye (buy)

PUT = Price Undermined Totally, Long bearish

Put = Prices jaati hain DOWN (letter P ulta hua hai, girta hua!)
Tum kuch PUT karte ho neeche (sell)

[!recall] Active Recall Questions

Call aur put option mein key difference kya hai?
Long call ka payoff formula first principles se derive karo.
Agar tum ek call buy karo $K = 100$ , $C = 5$ ke saath, aur stock $110 par end ho, to tumhara profit per share kya hoga?
Long option position mein maximum loss capped kyun hota hai?
Long put ka breakeven price kya hai jab $K = 50$ , $P = 3$ ho?

Connections

Intrinsic vs Time Value: Options ke do value components hote hain; calls/puts dono ye exhibit karte hain
Option Greeks: Delta batata hai ki stock price ke saath call/put price kitna change hota hai
Covered Calls: Stock own karna aur call sell karna combine karta hai
Protective Puts: Long stock positions ke liye insurance ke roop mein puts khareedna
Put-Call Parity: Call aur put prices ke beech mathematical relationship
American vs European Options: Exercise rules calls aur puts ko differently affect karte hain
Moneyness: ITM/ATM/OTM status intrinsic value determine karta hai

#flashcards/stock-market

What gives a call option holder the right to do? :: Underlying asset ko strike price par expiration se pehle buy karna.

What gives a put option holder the right to do?

Underlying asset ko strike price par expiration se pehle sell karna.

Formula for long call profit/loss?

P/L = max (S_{T} - K, 0) - C

Formula for long put profit/loss?

P/L = max (K - S_{T}, 0) - P

Breakeven for a long call with strike

K

and premium

C

S_{T} = K + C

Breakeven for a long put with strike

K

and premium

P

S_{T} = K - P

Maximum loss on a long call or put?

Premium paid (limited downside).

When should you exercise a call option at expiration?

Jab

S_{T} > K

ho (stock price strike se upar).

When should you exercise a put option at expiration?

Jab

S_{T} < K

ho (stock price strike se neeche).

Who has an obligation in an options contract?

Option seller (short position), buyer (long position) nahi.

What does "intrinsic value" mean for a call?

max (S_{T} - K, 0)

— immediate exercise value.

What does "intrinsic value" mean for a put?

max (K - S_{T}, 0)

— immediate exercise value.

If you're bullish on a stock, do you buy a call or put?

Call buy karo.

If you're bearish on a stock, do you buy a call or put?

Put buy karo.

What happens to an out-of-the-money option at expiration?

Worthless expire ho jaata hai; intrinsic value zero hoti hai.