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Put Spread Portfolio Hedge: Sizing a Bounded Protection Zone

For educational purposes only; not investment advice.

Direct answer

Section titled “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

Section titled “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

Section titled “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

Section titled “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

Section titled “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.
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Authoritative sources

Section titled “Authoritative sources”