Academy / Specialty Modules / Module 4H: Advanced Risk and Tail Hedging

How to Hedge a Portfolio With Index Puts

Reviewed by Leon Moyer - Published October 9, 2026 - Last reviewed October 9, 2026

In this lesson

Calculate how many index puts hedge a portfolio, and work out the hedged portfolio's maximum loss, break-even and cost at expiration.

To hedge a portfolio with index puts, you buy put options on a broad stock index, or on a fund that tracks one, that your portfolio tends to move with. If the market falls below the put's strike price, the puts gain value and offset the portfolio's loss beyond that point.

It is the portfolio-wide version of a protective put: one position covers the market risk the holdings share. At expiration, the most the hedged portfolio can lose is the drop to the strike plus the premium, its break-even is the starting price plus the premium per share, and its upside stays open, less the premium paid.

How do index puts protect a portfolio?

A put option is the right to sell the underlying at the strike price, 100 shares per contract for a fund, or the same value in cash for an index. A put on an index or index fund gains value as that index falls below the strike. Because most diversified stock portfolios fall when the broad market falls, gains on the puts offset losses on the portfolio.

The protection is only as good as the match between your portfolio and the index. A portfolio of large U.S. companies tracks a broad U.S. index closely. A portfolio of small companies or one sector may not, a gap called basis risk.

How many puts do you need to hedge a portfolio?

Start with beta, a measure of how much a portfolio tends to move when the index moves. A beta of 1.0 means it tends to move about as much as the index, 1.2 means about 20% more, and 0.8 about 20% less. Your broker or portfolio tool may show an estimate; it is based on the past and can drift.

In one sentence: contracts needed = portfolio value x beta ÷ (index or fund price x 100).

How many index puts hedge a portfolio?

Each contract covers 100 units of the index or fund. Beta scales the count up for a portfolio that tends to swing more than the index, and down for one that swings less.

A $250,000 portfolio with a beta of 1.2 is hedged like $300,000 of XYZ, and each contract on XYZ at $100 covers $10,000, so the hedge needs 30 contracts. Counts rarely come out whole; rounding down leaves some exposure unhedged, and rounding up adds cost.

Should you use index options or index fund options?

There are two main ways to buy puts on the broad market, and which one fits depends on the size of the portfolio:

  • Index options, such as Cboe's S&P 500 Index (SPX) options, are written on the index itself. Per Cboe's SPX product page, they are European style (exercisable only at expiration), settle in cash, and have a $100 multiplier. With the index in the thousands, one contract covers several hundred thousand dollars of stock.
  • Index fund options are written on an exchange-traded fund that tracks an index. Per Cboe's equity options specifications and exchange-traded product options page, they generally cover 100 shares, are American style (exercisable on any business day), and settle by delivering shares. Their smaller size makes them easier to match to a modest portfolio.

The lesson SPX vs SPY Options: Index Options vs ETF Options, and XSP covers the differences in depth. The two can also be taxed differently; this course's Tax Treatment of Options module gives an overview, and a tax professional can say what applies to you. Brokers also differ in which of these they allow at each options approval level, and in what they charge.

Worked example

Hedging a $100,000 portfolio with 10 XYZ 90 puts

You hold $100,000 of stocks with a beta of about 1.0 to XYZ, a hypothetical fund that tracks a broad index and trades at $100. You need 100,000 x 1.0 ÷ ($100 x 100) = 10 contracts.

You buy 10 XYZ 90 puts expiring in 90 days for $1.22 each, the calculator model's value at 26% implied volatility and a 4.5% rate: $1.22 x 100 x 10 = $1,220, or about 1.2% of the portfolio. For simplicity, the portfolio moves exactly like XYZ.

XYZ at expirationPortfolio10 puts worthTotal profit or loss
$70-$30,000$20,000-$11,220
$90-$10,000$0-$11,220
$100$0$0-$1,220
$101.22+$1,220$0$0
$110+$10,000$0+$8,780
  • Maximum loss: $11,220, however far XYZ falls: the $10,000 drop to the $90 strike plus the $1,220 premium.
  • Break-even: $101.22, the $100 starting price plus the $1.22 premium per share.
  • Maximum profit: no fixed limit; the portfolio keeps its upside, less the $1,220 premium.

In one sentence: the most the hedged portfolio can lose = (starting price - strike + premium) x shares covered.

Illustrative and hypothetical. The ticker and prices are invented for teaching, and the figures exclude commissions, fees, margin interest and taxes, which reduce real results. Past or hypothetical outcomes do not indicate future results.

A $100,000 portfolio with and without 10 XYZ 90 puts, at expiration

-$40,000-$20,000$0+$20,000$60$70$80$90$100$110$120$130ProfitLossFloor at the $90 strikeBreak-even $101.22

Hover or tap the chart, or focus it and use the arrow keys, to read any price.

Open this trade in the free calculator
Show as table
XYZ at expirationWith 10 putsUnhedged
$60-$11,220-$40,000
$70-$11,220-$30,000
$80-$11,220-$20,000
$90-$11,220-$10,000
$100-$1,220$0
$101.22$0+$1,220
$110+$8,780+$10,000
$120+$18,780+$20,000
$130+$28,780+$30,000
Hypothetical: the portfolio moves exactly like XYZ (drawn as 1,000 shares at $100). The puts cost $1.22 each, $1,220 in total, and cap the loss at $11,220 however far XYZ falls.

The hedged line is flat below $90: every further dollar XYZ falls costs the portfolio $1,000 and adds $1,000 to the puts. Above $90 the two lines run parallel, $1,220 apart. That gap is the price of the floor.

How do you choose the strike and expiration?

The strike works like an insurance deductible. A strike close to today's price starts protecting almost at once, but costs more. A strike further below is cheaper, but you absorb the first part of any fall yourself.

Choosing the strike: premium versus the loss you still keep

Hypothetical 90-day XYZ puts at model prices (26% implied volatility), 10 contracts on a $100,000 portfolio. A strike closer to the price costs more but leaves a smaller deductible; a farther strike is cheap but only helps in a deep fall.

At the same model setup (26% implied volatility, 90 days), the 95 put costs $2.54 and the 85 put $0.49. Moving from the 95 strike to the 85 strike cuts the premium for 10 contracts from $2,540 to $490 but raises the worst-case loss from $7,540 to $15,490. Tail hedgers often choose strikes well below the market, to survive a crash rather than avoid every dip.

The expiration is a trade-off too. Longer-dated puts cost more in total but usually less per day of protection, and they give a crash more time to happen while the hedge is in place. How Much Does It Cost to Hedge a Portfolio? works through the numbers.

What can go wrong with an index put hedge?

  • The hedge expires first. A put protects only until its expiration. A crash a week later is not covered unless the hedge was rolled into a new one.
  • Basis risk. If your portfolio falls more than the index, the puts cover less than you expected. Beta is an estimate, and in a crash it can change.
  • The cost adds up. In most quarters the puts expire worthless. That steady cost is the real price of tail protection.
  • You do not have to wait for expiration. After a sharp fall, you can sell the puts to lock in their gain. Holding on keeps the protection but risks giving the gain back if the market rebounds.

Check your understanding

You have a $60,000 portfolio with a beta of 0.8 and want to hedge with puts on XYZ at $100. How many contracts does the formula give?

Show answer

4.8 contracts: $60,000 x 0.8 ÷ ($100 x 100) = 4.8. You would choose 4 (slightly under-hedged) or 5 (slightly over-hedged).

In the worked example, why is the loss the same $11,220 at $90 and at $70?

Show answer

Below the $90 strike, each $1 XYZ falls adds $1,000 to the 10 puts and costs the portfolio $1,000, so the total stops changing. The loss is the $10,000 fall to the strike plus the $1,220 premium.

What does a lower strike change about a portfolio hedge?

Show answer

It lowers the premium but raises the loss you absorb before the protection starts, like a cheaper insurance policy with a bigger deductible.

Key takeaways

  • Index puts protect the market risk a diversified portfolio shares, with one position.
  • Contracts needed = portfolio value x beta ÷ (index or fund price x 100).
  • The hedged portfolio's maximum loss at expiration is the drop to the strike plus the premium; its break-even is the starting price plus the premium per share.
  • A closer strike costs more and protects sooner; a farther strike is cheaper and only helps in a deep fall.
  • Basis risk, expiration timing and the ongoing cost are the main limits of an index hedge.

Common questions

How do you hedge a portfolio with puts?

Buy put options on a broad index or index fund that your portfolio tends to move with, enough contracts to cover the portfolio's value adjusted for its beta. If the market falls below the strike, the puts gain value and offset part of the portfolio's loss.

How many put contracts do I need to hedge my portfolio?

Divide the portfolio's value times its beta by the value one contract covers, which is the index or fund price times 100. A $100,000 portfolio with a beta of 1 hedged with puts on a $100 fund needs 10 contracts.

Should I buy SPX or SPY puts to hedge?

Both can hedge a broad U.S. stock portfolio. SPX index options are European style and cash settled, and each contract covers a much larger dollar amount. Options on index funds settle in shares and come in smaller sizes. The lesson SPX vs SPY Options: Index Options vs ETF Options, and XSP covers the differences.

What strike should I use for a portfolio hedge?

A strike closer to today's price costs more but leaves a smaller loss before the protection starts. A strike further below costs less but only helps in a deeper fall. Many hedgers pick the largest loss they could live with and set the strike there.

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