--- description: "A volatility strategy buying an OTM call at K1 and an OTM put at K2 < K1, profiting from a large move in either direction at lower cost than a straddle." tags: [options, volatility, neutral, strangle] --- # Long Strangle **Section**: 2.23 | **Asset Class**: Options | **Type**: Volatility ## Overview The long strangle is a volatility strategy consisting of a long position in an OTM call option with strike K1 and a long position in an OTM put option with strike K2 (K2 < K1). This is a net debit trade. Because both options are OTM, this strategy is less costly to establish than a long straddle. The flipside is that the move required to reach a breakeven point is more significant. The trader's outlook is neutral. This is a capital gain strategy. ## Construction - Buy 1 OTM call option at strike K1 - Buy 1 OTM put option at strike K2 (K2 < K1), same expiry Net debit: D ## Payoff Profile f_T = (S_T - K1)+ + (K2 - S_T)+ - D - Upper breakeven: S*_up = K1 + D - Lower breakeven: S*_down = K2 - D - Max profit: P_max = unlimited (stock can move far in either direction) - Max loss: L_max = D (if K2 <= S_T <= K1 at expiry; both options expire worthless) ## Key Conditions / Signals - Neutral directional view; expects a very large move but uncertain of direction - Cheaper than a straddle but requires a larger price movement to profit - Ideal before high-impact events where an extreme move is anticipated ## Notes The maximum loss zone is the range [K2, K1] where both options expire worthless. The position is long vega and short theta. Compared to a straddle, the strangle is cheaper to enter but needs a bigger move to profit.