Learn long straddle and strangle

WHY would anyone buy this?

You buy a straddle/strangle when you expect a big move but are unsure of direction:

Earnings announcements, RBI policy, court verdicts, budget day.
You think the market is underpricing future volatility (implied vol is too low).

The loss is capped (you can only lose the premium paid), but the gain can be huge — that asymmetry is the attraction.

HOW to derive the payoff — from scratch

We build the payoff at expiry as a function of the stock price $S_T$ . Options settle to their intrinsic value at expiry.

Building blocks

Long call payoff at expiry: $\max(S_T - K, 0)$ . Long put payoff at expiry: $\max(K - S_T, 0)$ .

Break-even points (where $\Pi = 0$ ):

Upper: $S_T - K - D = 0 \Rightarrow S_T = K + D$ .
Lower: $K - S_T - D = 0 \Rightarrow S_T = K - D$ .

Now the strangle

Same logic, but different strikes. Net premium $D = C + P$ (both OTM, so cheaper).

Figure — Learn long straddle and strangle

Worked Examples

Worked example Example 1 — Long Straddle on NIFTY

NIFTY at $20{,}000$ . You buy the $20{,}000$ Call for $150$ and $20{,}000$ Put for $130$ (per unit).

Total premium $D = 150 + 130 = 280$ .
Why add them? You paid for both legs. → Max loss $= 280$ .
Upper break-even $= 20{,}000 + 280 = 20{,}280$ . Why? Call must recover the whole premium.
Lower break-even $= 20{,}000 - 280 = 19{,}720$ .
If NIFTY closes at $20{,}600$ $20, 600$ : call worth $600$ $600$ , put $0$ $0$ . Profit $= 600 - 280 = 320$ $= 600 - 280 = 320$ .
- Why this step? Only the call has intrinsic value above $K$ ; subtract cost.
If NIFTY closes at $20{,}000$ : both worthless → lose $280$ (max loss confirmed).

Worked example Example 2 — Long Strangle, same stock

NIFTY at $20{,}000$ . Buy $20{,}200$ Call for $70$ and $19{,}800$ Put for $60$ .

$D = 70 + 60 = 130$ (cheaper than the straddle's 280 — why? both options are OTM, less intrinsic hope priced in).
Upper BE $= K_c + D = 20{,}200 + 130 = 20{,}330$ .
Lower BE $= K_p - D = 19{,}800 - 130 = 19{,}670$ .
Dead zone: for any close between $19{,}800$ $19, 800$ and $20{,}200$ $20, 200$ , you lose the full $130$ $130$ .
- Why a flat bottom? Both options are OTM there — neither has intrinsic value.
Close at $20{,}500$ : call $= 300$ , put $0$ . Profit $= 300 - 130 = 170$ .

Flashcards

What two legs make a long straddle?

A long call and a long put at the same strike and same expiry.

What two legs make a long strangle?

A long call at a higher strike and a long put at a lower strike (both OTM), same expiry.

What is the maximum loss of a long straddle?

The total premium paid

D=C+P

, occurring when

S_T=K

What are the break-even points of a long straddle with premium D?

K+D

(up) and

K-D

(down).

What are the break-even points of a long strangle?

K_c+D

(up) and

K_p-D

(down).

Why is a strangle cheaper than a straddle?

Both its options are out-of-the-money, so they have no intrinsic value and lower premium.

What market view justifies buying a straddle/strangle?

Expecting a large move in either direction (high volatility), direction unknown.

What is the "dead zone" of a strangle?

The price range

K_p \le S_T \le K_c

where both options expire worthless and you lose the full premium.

What two hidden forces work against a long straddle buyer?

Time decay (theta) on both legs and IV crush after the event.

On a modest move, does straddle or strangle profit first?

The straddle, because its break-evens are closer to the current price.

Recall Feynman: explain it to a 12-year-old

Imagine a firecracker is about to go off but you don't know if it'll jump left or right. You buy two nets — one on each side — so whichever way it flies, one net catches it. The nets cost money. If the firecracker barely fizzles and stays in the middle, you wasted your net money. But if it BLASTS far one way, that net catches a huge prize — way more than you paid. Straddle = nets placed right next to each other (dearer, catches easily). Strangle = nets placed far apart (cheaper, but the firecracker must fly really far to hit one).

Connections

Options Basics — Calls and Puts
Option Premium and Intrinsic vs Time Value
Implied Volatility and IV Crush
The Greeks — Theta and Vega
Short Straddle and Short Strangle (the opposite: bet on low volatility)
Put-Call Parity
Payoff Diagrams

Concept Map

Hinglish (regional understanding)

Intuition Hinglish mein samjho

Dekho, long straddle aur long strangle ka funda simple hai: aap ye bet nahi lagate ki stock upar jayega ya neeche — aap sirf ye maante ho ki stock bahut zyada hilega (badi movement aayegi). Isliye aap ek Call bhi khareedte ho aur ek Put bhi. Jidhar bhi bada move aaye, ek option paisa bana deta hai. Straddle mein dono ka strike same hota hai (mehnga, par chhoti movement par bhi profit shuru), aur strangle mein Call ka strike upar, Put ka strike neeche (sasta, par movement bahut badi honi chahiye).

Sabse important cheez — break-even. Maan lo straddle ka total premium $D$ hai. To sirf stock ka sahi direction mein jaana kaafi nahi; use $K+D$ se upar ya $K-D$ se neeche jaana zaroori hai, tabhi profit. Bahut log yahan galti karte hain: "stock 3% upar gaya, main to profit mein hoon!" — nahi bhai, agar move premium se chhota hai to abhi bhi loss hai. Max loss? Sirf jitna premium diya, utna hi — yahi is strategy ki khoobsurti hai (loss limited, profit bada).

Lekin ek warning: aap do options long kar rahe ho, matlab theta (time decay) dono par chal raha hai — roz thoda thoda paisa ghisata hai. Aur event (jaise earnings ya RBI policy) ke baad IV crush hota hai — implied volatility gir jaati hai, aur premium sasta ho jaata hai, chahe move thoda ho bhi. Isliye straddle/strangle tabhi lagao jab aapko lage ki move jaldi aur bada aayega, aur market ne volatility ko under-price kiya hua hai.

Yaad rakhne ka trick: "Straddle = Same strike, Strangle = Spread-out strikes." Dono volatility ke long hote hain — aap chahte ho market khoob hile. Agar aapko lagta hai market shaant rahega, to inka ulta (short straddle/strangle) socho.

WHAT are they?

WHY would anyone buy this?

HOW to derive the payoff — from scratch

Building blocks

Now the strangle

Worked Examples

Common Mistakes

Forecast-then-Verify

Flashcards

Connections

Concept Map

Hinglish (regional understanding)

Test yourself — Options Strategies

Connections