--- description: "A hedging strategy combining long stock with a long put at strike K <= S0, limiting downside loss while preserving unlimited upside." tags: [options, hedging, protective, bullish] --- # Protective Put **Section**: 2.4 | **Asset Class**: Options | **Type**: Hedging ## Overview The protective put (a.k.a. "married put" or "synthetic call") amounts to buying stock and buying an ATM or OTM put option with strike K <= S0. The trader's outlook is bullish. The put option hedges the risk of the stock price falling, acting as insurance on the long stock position. ## Construction - Buy 1 share of stock at price S0 - Buy 1 put option at strike K (K <= S0), paying net debit D Net position: long stock + long put ## Payoff Profile f_T = S_T - S0 + (K - S_T)+ - D = K - S0 + (S_T - K)+ - D - Breakeven: S* = S0 + D - Max profit: P_max = unlimited (stock can rise without bound) - Max loss: L_max = S0 - K + D (floor established at strike K) ## Key Conditions / Signals - Bullish on the underlying but seeking downside protection - Elevated uncertainty or event risk (earnings, macro) where a sharp drop is possible - Useful when the trader wants to retain long stock exposure but limit catastrophic loss ## Notes The protective put is the put-call parity complement to the covered call. The debit paid for the put reduces the effective profit from stock appreciation. The maximum loss is capped at S0 - K + D regardless of how far the stock falls.