Learn assignment and exercise — Hinglish notes

5.2.8 · Stock-Market › Options Basics

Overview

Assignment aur exercise options contracts ke ek hi sikke ke do pehlu hain. Jab ek option holder apna right exercise karta hai, to ek corresponding option writer ko assign kiya jaata hai obligation. Is mechanism ko samajhna critical hai kyunki yahi woh moment hota hai jab paper profits/losses real cash aur stock positions ban jaate hain.

Core Concepts

American vs European Style

| Style | Exercise Window | Common Markets | |-------|----------------| | American | Expiration tak kisi bhi time par | Zyaadaatar US stock options | | European | Sirf expiration par | Zyaadaatar index options (SPX, VIX) |

American options zyaada costly kyun hote hain: Early exercise karne ki flexibility ki value hoti hai, khaaskar dividends ya deep ITM positions ke liye.

The Mechanics: Step-by-Step

Formula Exercise Trigger Conditions

Ek option typically tab exercise hoga jab: $Intrinsic Value > Transaction Costs$

Calls ke liye: $S_{t} - K > costs$

Puts ke liye: $K - S_{t} > costs$

Jahan:

$S_{t}$ = current stock price
$K$ = strike price
Costs = commissions + market impact + opportunity cost of extrinsic value

First principles se derivation:

Intrinsic value kyun? Yeh exercise se immediate gain hai:
- Call: $K$ par kharido, instantly worth $S_{t}$ , gain = $S_{t} - K$
- Put: $K$ par becho, stock worth $S_{t}$ , gain = $K - S_{t}$
Costs se compare kyun karein? Exercise mein friction hota hai:
- Tumhara broker stock execution ke liye charge karta hai
- Tum option premium mein jo remaining time value hai woh kho dete ho
- Early exercise potential upside sacrifice karta hai
Yeh expiration par kyun hota hai zyaadaatar? Time value decay hokar zero ho jaata hai, to $Option Price = Intrinsic Value$ . Ab exercise karne se kuch forfeit nahi hota.

The Assignment Process

Holder exercises → OCC notified → OCC randomly selects short position
                                    ↓
                        Broker assigns obligation → Cash/shares transferred

Critical insight: Agar tum short ho 5 call contracts aur 1,000 log exercise karein, to tumhe randomly 0, 1, 2, 3, 4, ya 5 contracts assign ho sakte hain. Yeh sabhi shorts ke beech ek lottery hai.

Worked Examples

Worked example Example 1: Call Exercise (ITM at Expiration)

Setup:

Tumhare paas 1 XYZ Jan 50 Call hai
XYZ expiration par $58 par trade ho raha hai
Strike = $50
Tumhari option premium thi $3 (t u mn e$ 300 diye)

Expiration par kya hota hai? Zyaadaatar brokers ITM options ko auto-exercise karte hain. Dekhte hain kyun: Step 1: Intrinsic value calculate karo $I V = S_{t} - K = 58 - 50 = $8 per share$ $Total value = 8 \times 100 = $800$

Yeh step kyun? Yahi real money hai jo tum exercise karke capture kar sakte ho.

Step 2: Call exercise karo

Tum pay karte ho: $50 \times 100 =$ 5,000$
Tum receive karte ho: 100 XYZ shares worth $58 \times 100 =$ 5,800$
Net cash effect: initially -$5,000

Yeh step kyun? Exercise karna tumhara right actual shares mein convert karta hai.

Step 3: Shares turant becho (ya hold karo)

$58 p a r 100 s ha r es b ec h o =$ 5,800
Exercise se net: $5, 800 -$ 5,000 = $800
Original premium paid: $300
Final profit: $800 -$ 300 = $500

Yeh step kyun? Zyaadaatar traders ko stock nahi chahiye — unhe profit chahiye.

Alternative: Agar tum exercise NAHI karte, to option worthless expire ho jaata hai? Nahi! Tumhara broker $800 intrinsic value automatically capture kar leta.

Worked example Example 2: Put Assignment (Covered Put Writer)

Setup:

Tumne 2 ABC Feb 40 Puts sell (write) kiye
Tumne $2/ s ha r e p r e mi u m co l l ec t k i = t o t a l$ 400
ABC expiration par $35 par drop karta hai
Tum already ABC ke 200 shares short ho (covered put)

Kya hota hai?

Step 1: Puts $5 ITM hain → holder exercise karta hai $$\text{Intrinsic} = K - S_t = 40 - 35 = \$ 5$$ Kyun? Put holder $40 p a r se l l k a r s ak t ahaij abma r k e t$ 35 par hai — woh $5/share banaata hai.

Step 2: OCC tumhe randomly assign karta hai Maano tumhe dono contracts assign ho jaate hain.

Step 3: Put writer ke roop mein tumhara obligation

Tumhe 400 shares $40/share par kharidne honge
Cash outlay: $40 \times 200 =$ 8,000
Yeh 200 shares tumhari short position close kar dete hain

Yeh step kyun? Put assignment tumhe kharidne par force karta hai. Kyunki tum short the, yeh tumhari short perfectly cover kar deta hai.

Step 4: P&L calculate karo

Tumne ABC pehle (maano) $42 par short ki thi
Short profit: $(42 - 40) \times 200 =$ 400
Premium collected: $400
Total profit: $400 +$ 400 = $800 Yeh kyun kaam karta hai: Covered puts neutral/bullish hote hain. ABC gira, lekin tum phir bhi premium + short gains se profit karte ho.

Worked example Example 3: Early Exercise for Dividend (Call Holder)

Setup:

Tumhare paas 1 DEF Mar 100 Call hai, $105 par trading ho rahi hai
Option price: $6 ($ 5 intrinsic + $1 time value)
DEF $2/share dividend announce karta hai, ex-date kal hai

Kya tumhe early exercise karna chahiye?

Step 1: Agar tum exercise NAHI karte to kya hota hai?

Kal DEF ex-date par ~ $2 d r o p k a r t ahai (t o$ 103)
Tumhara call intrinsic drop hota hai $103 -$ 100 = $3 par
Tumhara call value mein ~$2/share ka loss hota hai
Time value $1 rehta hai

Step 2: Agar tum aaj DO exercise karo to?

$100 \times 100 =$ 10,000 pay karo shares ke liye
Kal tum $2 \times 100 =$ 200 dividend receive karte ho
Stock worth $103 \times 100 =$ 10,300
Total value: $10, 300 +$ 200 = $10,500
Lekin tumne $1 t im e v a l u e =$ 100 chhor diya

Step 3: Outcomes compare karo

Exercise mat karo: Call worth ~ $400 ($ 3 intrinsic + $1 time)
Exercise karo: $200 d i v i d e n d g aink a r o -$ 100 time value = +$100 Decision: Exercise karo agar dividend > remaining time value ho. $Exercise when: D > T V$ $2 > 1 ⟹ YES, exercise$

Yeh kyun matter karta hai: Yahi ek rational reason hai American calls ko early exercise karne ka. Dividend capture, time value sacrifice se zyaada worth hai.

Common Mistakes

Common mistake Mistake 1: "Main short call hoon, agar woh ITM jaaye to bas option buyback kar lunga"

Yeh sahi kyun lagta hai: Tumhe lagta hai tum control karte ho ki assignment kab hogi.

The steel-man: Liquid markets mein, expiration se pehle short option buyback karna DOES kaam karta hai zyaadaatar baar. Bahut saare traders successfully positions early close karke assignment avoid karte hain. Galti yeh sochna hai ki iska matlab hai tum assignment guarantee se avoid kar lete ho.

The reality:

Assignment American options ke liye kisi bhi time ho sakti hai, chahe expiration na aayi ho
Agar koi exercise kare, tumhe tab bhi assign kiya ja sakta hai agar tumhara buyback clear hone se pehle assignment process ho gayi
Expiration day par, after-hours trading mein tumhe assign kiya ja sakta hai jab tum buyback nahi kar sakte

The fix:

Expiration Friday par 3:00 PM ET tak short options close karo
Samjho ki ITM shorts ki expiration par ~90% assignment probability hoti hai
Naked trading karte waqt hamesha cash/shares maintain karo assignment fulfill karne ke liye

Common mistake Mistake 2: "Mera option ITM hai, to maximum profit ke liye exercise karna chahiye"

Yeh sahi kyun lagta hai: Intrinsic value achchi lagti hai, aur exercise karna "gains lock karne" jaisa feel hota hai.

The steel-man: Expiration par, ITM options exercise karna DOES full value capture karta hai. Aur psychologically, stock mein convert karna ek option se zyaada "real" feel hota hai.

The reality:

Options mein usually time value remaining hota hai: $Option Price = Intrinsic + Time Value$
Exercise karna saara time value forfeit kar deta hai
Option sell karna better hai aur time value bhi milta hai

Example:

$50 s t r ik e p a r c a l l, s t oc k$ 55 par
Option $5.50 p a r t r a d in g ($ 5 intrinsic + $0.50 time)
Exercise karo: $5 value milo
Option becho: $5.50 value milo
Exercise karne se tum $50 per contract lose karte ho!

The fix: Sirf tab exercise karo jab:

Expiration ho (time value = $0)
Tum dividend capture kar rahe ho (special case)
Option illiquid hai aur tum use sell nahi kar sakte

Key Formulas Summary

Active Recall Practice

Recall Ek 12-saal ke bacche ko explain karo

Socho tumhare paas ek coupon hai jo kehta hai "PlayStation ₹20,000 mein kharido" lekin stores mein PlayStations ab ₹30,000 ki hain.

Exercise tab hota hai jab TUM store mein jaate ho aur kehte ho "Main apna coupon use kar raha hoon! Mujhe ₹20,000 mein PlayStation do!" Store ko dena HI padega — yahi deal hai.

Lekin yahan ek trick hai: tumne woh coupon pehle ₹200 mein kharida tha. To tumhari real saving hai ₹10,000 - ₹200 = ₹9,800. Badiya!

Assignment woh hota hai jo store owner ke saath hota hai. Jab tum apna coupon exercise karte ho, owner ko PlayStation dene ke liye "assign" kiya jaata hai, chahe unhe ₹10,000 ka nuksan ho. Woh na nahi bol sakte — unhone tumhe woh coupon becha tha, to woh phanse hain.

Zyaadaatar log jo coupons rakhte hain unhe actually PlayStation nahi chahiye. Woh apna coupon kisi aur ko ₹9,900 mein bech dete hain (₹9,700 profit kamake) aur PlayStation pick up karne ki jhanjhat usi par chhod dete hain. Isliye zyaadaatar options exercise nahi, sell hote hain. Lekin agar tum DO exercise karo, to store owner ko phone aata hai: "Tumhe assign kiya gaya hai! Aaj is customer ko PlayStation deliver karo." Yahi assignment hai — random, mandatory, aur tum refuse nahi kar sakte.

Connections

American vs European Options - Exercise timing differences
Time Value Decay - Early exercise zyaadaatar kyun bura hota hai
Dividend Capture Strategies - Jab early exercise sense karta hai
Pin Risk - Expiration par ATM ke paas assignment uncertainty
Cash-Secured Put Strategy - Puts par assignment manage karna
Covered Call Rolling - Short calls par assignment avoid karna
Option Clearing Corporation - Assignment kaise process hoti hai
Margin Requirements - Agar tum assignment fulfill nahi kar sako to kya hota hai
Corporate Actions - Stock splits/mergers exercise/assignment ko kaise affect karte hain

#flashcards/stock-market

Options mein exercise aur assignment ka kya difference hai? :: Exercise tab hota hai jab option HOLDER contract execute karne ka apna RIGHT invoke karta hai (strike par shares kharidna/bechna). Assignment tab hota hai jab option WRITER contract fulfill karne ke liye OBLIGATED hota hai kyunki kisine exercise kiya. Holder decide karta hai, writer obey karta hai.

Automatic exercise typically kab hoti hai?

Zyaadaatar brokers un options ko auto-exercise karte hain jo expiration par

0.01 y a z y aa d a I T M hain . C a l l s k e l i y e : s t oc k p r i ce \geq s t r ik e +

0.01. Puts ke liye: strike ≥ stock price + $0.01.

American call option ko early exercise karne ka ek hi rational reason kya hai?

Dividend capture karna jab dividend amount option ke remaining time value se zyaada ho. Formula: Exercise karo agar D > TV ho, jahan D = dividend per share aur TV = remaining time value.

Agar tum 3 call contracts short ho aur bahut log exercise karein, to assignment kaise decide hoti hai?

OCC (Options Clearing Corporation) us contract ke SAARE short positions mein se obligation randomly assign karta hai. Tumhe 0, 1, 2, ya 3 contracts assign ho sakte hain — yeh random selection hai, first-in-first-out nahi.

Expiration se pehle ITM option exercise kyun nahi karna chahiye (usually)?

Kyunki options mein time value hota hai: Option Price = Intrinsic + Time Value. Exercise karna SAARA time value forfeit kar deta hai. Tumhe option SELL karna chahiye taaki intrinsic aur time value dono capture ho. Sirf expiration par exercise karo jab time value = 0 ho.

Put writer ko assign hone par kya hota hai?

Unhe OBLIGATED kiya jaata hai ki woh strike price par contract ke per 100 shares KHAREDEIN, chahe market price neeche ho. Example ke taur par, agar

40 p u tp a r a ss i g nk i y a g a y aj ab s t oc k

35 par hai, to unhe 100 shares ke liye

4, 000 p a y k a r n e h o n g e j os i r f

3,500 worth hain.

Deep ITM options ke liye expiration par assignment probability approximate kitni hoti hai?

Delta > 0.9 wale options ke liye approximately 90%. Yeh isliye hai kyunki zyaadaatar holders intrinsic value capture karne ke liye exercise karenge, aur kuch brokers ITM positions auto-exercise karte hain.

Pin risk kya hota hai?

Yeh uncertainty hai ki kya tumhe assign kiya jaayega jab expiration par stock price tumhari strike price ke bahut paas hoti hai (near ATM). Tumhe nahi pata ki market close hone tak tumhare paas stock position hogi ya nahi, jo weekend par risk create karta hai.