The structure
| Leg | Action | Strike | Effect |
|---|---|---|---|
| 1 | Buy 1 put (PE) | Higher | Gives you the downside exposure |
| 2 | Sell 1 put (PE) | Lower, same expiry | Pays for part of leg 1, caps the gain |
The arithmetic
| Quantity | Formula |
|---|---|
| Max loss | D — the debit paid |
| Max profit | W − D |
| Breakeven | Higher strike − D |
| Profit reached when | Index at or below the lower strike at expiry |
| Loss reached when | Index at or above the higher strike at expiry |
A worked example
| Index at expiry | Long put worth | Short put worth | Result |
|---|---|---|---|
| 24,200 or above | 0 | 0 | −53 — maximum loss |
| 24,000 | 0 | 0 | −53 |
| 23,947 | 53 | 0 | 0 — breakeven |
| 23,900 | 100 | 0 | +47 |
| 23,800 | 200 | 0 | +147 — maximum profit |
| 23,400 | 600 | −400 | +147 — capped |
Why not just buy the put?
| Plain long put | Bear put spread | |
|---|---|---|
| Cost | Higher | Lower |
| Max loss | The premium paid | The debit paid |
| Max profit | Large — down to zero in theory | Capped at W − D |
| Breakeven | Strike − premium | Higher strike − debit, which is nearer |
| Theta exposure | Full | Reduced |
| Vega exposure | Long | Reduced |
The one real difference from a call spread
Choosing the strikes
When a bear put spread fits
- You expect a decline of roughly known size. Capping at your expected level is free in practice.
- You want a defined cost. The debit is the entire risk, known at entry.
- You want a nearer breakeven than a plain put offers.
- You want downside exposure without the margin a short call position requires.
When it fits badly
- You expect a sharp, large fall. The cap and the reduced vega both work against you in exactly that scenario.
- Liquidity at the lower strike is thin. Two legs means two spreads crossed each way.
- You want protection rather than a position. Hedging an existing holding is a different problem with different answers.
Automating it
Create two legs
Set strike rules, not numbers
Set entry and exit times
Set the square-off-all-legs rule
Decide on a stop loss
Testing it
- How often did the index finish at or below the sold strike, reaching maximum profit?
- How often did it finish above the bought strike, costing the full debit?
- Does the sample contain a genuine sell-off, not just drifting markets?
- Is the result carried by one or two large moves, or spread across many trades?
- After costs on four legs per round trip, is expectancy still positive?
The short version
- Buy a put, sell a lower one, same expiry — net debit
- The bought leg is always the one closer to the money
- Max loss is the debit; max profit is the width minus the debit
- Breakeven is the bought strike minus the debit
- The spread reduces the volatility tailwind a plain long put enjoys in a sell-off
- A spread missing its bought leg is a naked short put — set the square-off rule
Frequently asked questions
Buying a put at one strike and selling a put at a lower strike in the same expiry. It is a bearish position with a capped loss and a capped gain.
The higher strike. For puts the higher strike is the more valuable one, so the bought leg sits above the sold leg — the mirror of a call spread.
The net debit paid to open the position, known exactly at entry.
The bought strike minus the net debit.
A plain put keeps more of the downside and benefits more from rising volatility in a sell-off, but costs more and has a further breakeven. The spread trades some of that for a cheaper position.
Partly. Implied volatility typically rises when markets fall, which helps a long put through vega. The sold leg offsets some of that benefit along with the rest of the vega exposure.
You are holding a naked short put with substantial downside exposure, which is the serious assembly failure for this structure. The square-off-all-legs rule is what prevents it persisting.
Hedging an existing holding is a different problem with different answers. A bear put spread is a position taken for its own sake, with a capped payoff that may not match the exposure you are trying to offset.
Place the sold strike at or slightly above the level you genuinely expect the index to reach. Capping below a level you do not expect to see costs nothing real and makes the position cheaper.
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