Learn intrinsic vs time value — Hinglish notes

5.2.4 · Stock-Market › Options Basics

Why This Decomposition Matters

Options sirf "in-the-money" ya "out-of-the-money" nahi hote—unki market price mein immediate exercise value aur future potential dono reflect hote hain. Is split ko samajhna aapko ye karne deta hai:

Ye identify karna ki kab aap umeed ke liye zyada pay kar rahe ho (excessive time value)
Ye recognize karna ki kab ek option parity ke paas trade kar raha hai (saara intrinsic, koi time premium nahi)
Predict karna ki expiration approach karne par option prices kaise decay karti hain

Fundamental equation: $Option Premium = Intrinsic Value + Time Value$

Intrinsic Value: Abhi Kya Milega

Derivation from First Principles

Call Option ke liye:

Aapke paas stock ko strike price $K$ par khareedne ka haq hai
Current stock price hai $S$
Agar aap exercise karo, to aap $K$ pay karte ho aur stock milti hai jo $S$ worth hai
Immediate profit (agar ho to) = $S - K$
Par profit negative nahi ho sakta (aap simply exercise nahi karoge), isliye:

$Intrinsic Value_{call} = max (S - K, 0)$

max() kyun? Agar $S < K$ hai, to exercise karne se paisa jaayega. Aap simply option ko expire hone doge. Intrinsic value zero par floor karti hai.

Put Option ke liye:

Aapke paas stock ko strike price $K$ par bechne ka haq hai
Current stock price hai $S$
Agar aap exercise karo, to aap stock deliver karte ho jo $S$ worth hai aur $K$ receive karte ho
Immediate profit (agar ho to) = $K - S$
Phir se, negative nahi ho sakta:

$Intrinsic Value_{put} = max (K - S, 0)$

Moneyness States

In-the-money (ITM): Intrinsic value > 0
- Call: $S > K$
- Put: $S < K$
At-the-money (ATM): $S \approx K$ , intrinsic value ≈ 0
Out-of-the-money (OTM): Intrinsic value = 0
- Call: $S < K$
- Put: $S > K$

Time Value: Possibility ke liye Pay Karna

Time Value Exist Kyun Karta Hai?

Options ka uncertainty principle: Expiration tak, stock price abhi bhi aapke favor mein move kar sakti hai. Ek OTM option ka bhi profitable hone ka chance hota hai.

Time value component ki derivation:

Market option price = $P$
Intrinsic value = $IV$
Total premium ki definition se: $P = IV + TV$
Time value solve karne par: $TV = P - IV$

Time value kya determine karta hai?

Time to expiration ( $T$ ): Zyada time = favorable moves ke zyada chances
- $TV \propto T$ (Black-Scholes se approximation)
Volatility ( $σ$ ): Zyada volatility = bade potential swings
- $TV \propto σ$
ATM se distance: Strike ke paas wale options ka time value maximum hota hai
Interest rates & dividends: Carry cost par secondary effects

Step-by-Step Reasoning ke saath Worked Examples

Worked example Example 3: ATM Call with Time Decay

Stock DEF $75 p a r hai .$ 75 strike call:

90 days out: cost $4.50
30 days out: cost $2.20
Expiration day: cost $0.05

Intrinsic vs time value track karo (assume karo stock $75 par hi rahegi).

| Time Remaining | Premium | Intrinsic ( $S - K$ ) | Time Value | |-------------|-------------------|------------| | 90 days | $4.50∣$ \max(75-75, 0) = 0 $∣$ 4.50 - 0 = 4.50 $∣∣30 d a y s ∣$ 2.20 | $0$ | $2.20$ | | Expiration | $0.05∣$ 0 $∣$ 0.05$ |

Ye pattern kyun?

Intrinsic value zero rehta hai kyunki option ATM rehta hai ( $S = K$ throughout)
Time value decay karta hai jab expiration paas aati hai—favorable move ke liye kam din
Decay accelerate hoti hai (linear nahi)—yahi theta decay hai

Key insight: ATM options pure time value hote hain. Unka poora premium evaporate ho jaata hai agar stock move nahi karti.

Common Mistakes & Misconceptions

Common mistake Mistake 2: "Time value waste hua paisa hai"

Galat intuition: "Mujhe sirf high intrinsic value wale options khareedne chahiye taaki time value mein paisa 'waste' na ho."

Ye sahi kyun lagta hai: Time value expiration par disappear ho jaata hai—ye "real" nahi hai.

Haqeeqat: Time value optionality ki cost hai. Ye aapko deta hai:

Limited downside (aap sirf premium hi kho sakte ho)
Unlimited upside potential
Walk away karne ka haq

Deep ITM options (high intrinsic, low time value) stock ki tarah behave karte hain—aap leverage benefit kho dete ho. OTM options (all time value) aapko convexity dete hain.

Fix: Time value option ki defining characteristic ki price hai. Ise apni strategy se match karo—momentum traders time value chahte hain, arbitrageurs intrinsic value chahte hain.

Time Value Decay (Theta) Preview

Time value linearly decay nahi karta—ye expiration approach karne par accelerate hota hai.

Theta ("Greeks" mein se ek) time decay measure karta hai: $Θ = \frac{\partial P}{\partial t}$

Expiration se door: Slow decay, time value dominate karta hai
Expiration ke paas: Rapid decay, especially ATM options ke liye
At expiration: Time value = 0, sirf intrinsic value bachti hai

$P_{expiration} = Intrinsic Value$

Isliye option sellers (writers) time decay se profit karte hain—wo time premium collect karte hain aur wait karte hain ki wo evaporate ho jaaye.

Recall Ek 12-Saal-Ke-Bachche Ko Samjhao

Socho tumhare paas "Sweet Scops" shop par free ice cream ka coupon hai, par sirf wahan hi use hoga. Coupon ki value do cheezaan par depend karti hai:

Intrinsic value: Abhi use karo to kitna bachta hai. Agar ice cream $5 k ihaia u r co u p o n$ 3 bachata hai, to $3 intrinsic value hai.
Time value: Coupon kitna extra worth hai is wajah se ki shayad tum ise tab use karo jab ice cream aur mahangi ho. Agar coupon 6 mahine mein expire hota hai, aur ice cream prices badh sakti hain, to koi tumhe $4 d es ak t ahai e v e n t h o ug haaj s i r f$ 3 worth hai.

Jab coupon expire hota hai, "time value" gayab ho jaati hai. Agar tab tak use nahi kiya, to ye sirf utna hi worth hai jo aap abhi bachaa sako (intrinsic value). Agar ice cream abhi bhi $5 k ihai, t o t u mha r a$ 3 coupon exactly $3 w or t hhai . A g a r i cecr e amab$ 2 ki hai, to coupon worthless hai—intrinsic value zero hai.

Options bhi isi tarah kaam karte hain: price ka ek hissa "jo abhi milega" hai, ek hissa "jo baad mein mil sakta hai" hai.

Connections

5.2.01-What-is-an-option-contract — Calls/puts ki foundational definitions
5.2.03-Moneyness-ITM-ATM-OTM — Kaise intrinsic value moneyness states define karti hai
5.3.01-Intro-to-option-Greeks — Theta time value decay rate measure karta hai
5.4.02-Time-decay-and-theta — Time value kaise erode hoti hai iska deep dive
5.5.01-Black-Scholes-intuition — Pricing model jo theoretical time value calculate karta hai
6.2.01-Covered-calls — Time value decay exploit karne ki strategy

#flashcards/stock-market

Option ke premium ke do components kya hote hain? :: Intrinsic value (immediate exercise value) aur time value (future potential value)

Call option ke liye intrinsic value ka formula kya hai?

max (S - K, 0)

jahan

S

stock price hai aur

K

strike price hai

Put option ke liye intrinsic value ka formula kya hai?

max (K - S, 0)

jahan

K

strike price hai aur

S

stock price hai

Agar call option out-of-the-money hai, to uski intrinsic value kya hogi?

Zero (exercise karne se loss hoga, to aap exercise nahi karoge)

Time value kaise calculate karte hain?

Time Value = Option Premium - Intrinsic Value

Expiration approach karne par time value ka kya hota hai?

Ye zero tak decay hoti hai, expiration ke paas acceleration ke saath (theta decay)

ATM option ka premium kis cheez se bana hota hai?

Poori tarah time value se (at-the-money par intrinsic value zero hoti hai)

Koi OTM option ke liye kyun pay karega agar intrinsic value zero hai?

Wo is probability ke liye pay kar raha hai ki option expiration se pehle in-the-money move kare (time value)

Stock $60 p a r,$ 55 strike call ki cost $7. I n t r in s i c v a l u e k y ahai ? :::$ \max(60 - 55, 0) = $5$

Same scenario: time value kya hai?

7 - 5 = 2

Stock $40 p a r,$ 45 strike put ki cost $6. I n t r in s i c v a l u e k y ahai ? :::$ \max(45 - 40, 0) = $5$

Same scenario: time value kya hai?

6 - 5 = 1

Time value drive karne wale do main factors kya hain?

Time to expiration aur volatility (dono mein se kisi ka bhi zyada hona time value badhata hai)

Expiration par option ki value kya hoti hai?

Exactly uski intrinsic value (time value = 0)