# Put Spread Portfolio Hedge: Sizing a Bounded Protection Zone
Learn how to size an index or ETF put-spread hedge, calculate its cost and protection band, and account for beta, basis, expiration, and execution risk.
Canonical: https://wiki.fcontext.com/options/put-spread-portfolio-hedge/
Fact checked: 2026-07-22
> For educational purposes only; not investment advice.
## Direct answer
A **put-spread portfolio hedge** buys a put at higher strike `K_H` and sells a put at lower strike `K_L`, usually on an index or ETF that resembles the portfolio. The short put offsets part of the long put's cost, but protection exists only between the two strikes. Below `K_L`, the spread's payoff is capped and the portfolio resumes absorbing additional losses.
This is a temporary, bounded hedge rather than a guaranteed portfolio floor. Its effectiveness depends on four separate choices: whether the hedge underlying tracks the portfolio, how many contracts are used, where the two strikes sit, and whether the risk event occurs before expiration.
## Sizing and protection mechanics
For a spread opened at net debit `D`, multiplier `M`, and `N` contracts, expiration profit is:
`N × M × [max(K_H−S_T,0) − max(K_L−S_T,0) − D]`
- Above `K_H`, both puts expire worthless and the hedge loses its debit.
- Between `K_H` and `K_L`, payoff rises point for point per contract as the hedge underlying falls.
- At or below `K_L`, gross payoff is capped at `K_H − K_L`; maximum net hedge profit is `N × M × (K_H − K_L − D)`.
A first-pass contract count for a price-based index or ETF is:
`N ≈ portfolio value × portfolio beta to hedge × target hedge fraction ÷ (hedge level × multiplier)`
This is not an exact guarantee. Beta is estimated from history and can change; concentrated holdings, sectors, currencies, and idiosyncratic events may diverge from the hedge index. Rounding whole contracts also creates under- or over-hedging. Before expiration, option Delta rather than notional alone governs immediate sensitivity.
## A $100,000 portfolio with a 480/430 spread
Assume a `$100,000` portfolio tracks SPY closely with beta near `1.0`, SPY is `500`, and each ETF option represents 100 shares. Two contracts correspond to roughly `$100,000` of index-equivalent notional:
`$100,000 × 1.0 ÷ (500 × 100) = 2 spreads`
For each spread, buy the `480` put, sell the `430` put, and pay an `8.00` debit. Two spreads cost `$1,600`. Each has `$5,000` maximum gross payoff and `$4,200` maximum net profit; two have `$8,400` maximum net hedge profit.
| SPY at expiration | Approx. portfolio loss | Net hedge P/L | Approx. combined loss |
| ---: | ---: | ---: | ---: |
| `500` | `$0` | `−$1,600` | `−$1,600` |
| `480` | `−$4,000` | `−$1,600` | `−$5,600` |
| `450` | `−$10,000` | `+$4,400` | `−$5,600` |
| `430` | `−$14,000` | `+$8,400` | `−$5,600` |
| `400` | `−$20,000` | `+$8,400` | `−$11,600` |
The first `4%` decline to `480` is effectively a deductible. The next `10%` of the initial SPY level, from `480` to `430`, is the spread's gross protection band. Below `430`, option protection no longer increases. The table assumes the portfolio moves exactly with SPY and ignores fees, dividends, taxes, tracking error, and intraday valuation.
## Design and implementation checklist
- Map the portfolio's actual factor and concentration exposures before selecting SPY, QQQ, a sector ETF, or an index option.
- Estimate beta over more than one window and stress a higher crisis beta; correlation often changes during market stress.
- State the target hedge fraction. Two contracts may approximate full notional coverage, but the spread only covers its strike band.
- Choose `K_H` as the point where protection should begin and `K_L` as the point where incremental protection may stop.
- Compare the debit with the maximum net protection and annualize repeated hedge costs; an expired hedge reduces portfolio return.
- Match expiration to the risk horizon and plan renewal before the hedge disappears. Rolling realizes one spread and opens another; it does not erase cost.
- Verify product multiplier, settlement style, exercise style, last trading time, and tax treatment rather than assuming ETF and index options are interchangeable.
- Use a multi-leg limit order and examine executable spread quotes. Volatility spikes can make protection expensive precisely when demand rises.
- Decide in advance whether to monetize the spread near `K_L`; retaining a capped hedge below that point leaves new declines unoffset.
## Common misconceptions
- “The put spread protects every loss.” It protects only a selected market band and not unrelated portfolio risk.
- “Matching notional means a perfect hedge.” Beta, correlation, tracking error, contract rounding, and Delta all matter.
- “Maximum spread payoff equals portfolio loss prevented.” The debit reduces net payoff, and the portfolio may not match the hedge.
- “The lower short put creates extra portfolio downside.” The spread remains a net long put; the short leg caps additional hedge gains below `K_L`.
- “A cheaper hedge is automatically better.” Lower cost can reflect a later attachment point, narrower band, shorter life, or weaker liquidity.
- “The hedge works whenever the market eventually falls.” It can expire before the decline or lose value if the move is too small or too late.
## Related topics
- [Bear Put Spread](/options/bear-put-spread/)
- [Protective Put](/options/protective-put/)
- [Index Options](/options/index-options/)
- [Put Ratio Backspread](/options/put-ratio-backspread/)
## Authoritative sources
- [Portfolio Protection](https://www.cboe.com/us/index_protection/) - Cboe
- [Hedging Portfolio Risk with Mini Index Options](https://www.cboe.com/insights/posts/hedging-portfolio-risk-with-mini-index-options) - Cboe
- [Hedging with Options: Protective Puts](https://www.optionseducation.org/videolibrary/protective-puts) - Options Industry Council
- [Characteristics and Risks of Standardized Options](https://www.theocc.com/company-information/documents-and-archives/options-disclosure-document) - Options Clearing Corporation