Straddles and Strangles

Every spread in the previous lesson was a bet on direction — bullish, bearish, or (for a butterfly) "stays put." A straddle or strangle throws direction out entirely and bets on something more primitive: size. "This stock is about to move a lot" is a perfectly common view — ahead of an earnings release, a drug-trial readout, a central bank decision — without any conviction about which way. These combinations turn that view directly into a position, profiting whether the stock rockets up or craters down, and losing only if it stays boringly still.

The long straddle

A long straddle buys a call and a put, same strike K (usually at-the-money), same expiry. Its payoff at expiry is

\text{payoff} = \max(S_T - K, 0) + \max(K - S_T, 0) = |S_T - K|.

Whichever way the stock moves, one leg pays off while the other expires worthless — the payoff is a V centred at K, zero exactly at the strike and growing linearly in either direction. Subtract the total premium paid for both legs, c + p, to get profit, and the position needs a move of more than that combined premium, in either direction, before it turns profitable.

The strangle: the same bet, on a budget

A strangle is the cheaper cousin: buy an out-of-the-money put at K_1 and an out-of-the-money call at K_2 > K_1, straddling the current price from further away instead of sitting right on top of it. Its payoff is

\text{payoff} = \max(K_1 - S_T, 0) + \max(S_T - K_2, 0),

flat at zero for any S_T \in [K_1, K_2], and rising outside that band. Because both legs are out-of-the-money, a strangle costs noticeably less than the matching straddle — but in exchange, the stock needs to move further before either leg pays anything at all. Drag the sliders to compare the two shapes directly.

A stock trades at \$80 the day before earnings. The at-the-money K = \$80 call costs \$3.50 and the matching put costs \$3.20. A long straddle costs 3.50 + 3.20 = \$6.70 per share, \$670 per contract pair.

The earnings announcement needs to move the stock by more than 8.4\% (6.70 / 80) in either direction just to break even — a real hurdle, and exactly the number the market's option prices are implicitly forecasting.

Directional bets vs. volatility bets

It's worth putting the two families side by side, because they answer completely different questions about the same stock:

Spreads (bull / bear / butterfly)Straddles / strangles
The viewwhich way will it move (or: it won't)how far will it move — direction doesn't matter
Legssame type (calls only, or puts only)a call AND a put together
Costreduced by selling a far legfull premium on both legs (long versions)
Profits fromthe stock ending in the right zonethe stock moving a lot, in either direction

There's a neat symmetry worth noticing: a long butterfly (from the previous lesson) is a defined-risk bet that the stock stays calm. A short straddle (selling both legs instead of buying them) is the "purer" version of that same calm-bet — but with unlimited risk if the stock moves hard against you, since you're now the one who owes the payoff. Traders often prefer the butterfly precisely because it caps that risk, at the cost of also capping the reward.

It's tempting to think: "earnings always cause a big move, so just buy a straddle every quarter." The market is one step ahead of you. Option prices already embed the market's expectation of that move through implied volatility, which typically rises sharply into an earnings date precisely because everyone knows a jump is coming. The straddle's combined premium — \$6.70 in the example above — already prices in an expected 8.4\% swing. The trade only makes money if the actual move exceeds what was already priced in. Worse, right after the announcement, implied volatility typically collapses (the "IV crush") even on a stock that barely moved, which can make a straddle lose value on both legs simultaneously. Betting on volatility is a real, tradeable view — but it's a bet on the move being bigger than the market already expects, not simply "a move happens."