Protective put break-even: the option and portfolio differ
The put alone breaks even when a fall pays back its premium; the protective portfolio breaks even when its combined value recovers the cost of both assets. Confusing those two questions can turn a correct option payoff diagram into an incorrect portfolio claim.
The comparison concerns total wealth after the stated costs. A lower loss in one scenario does not establish higher expected geometric growth; that requires probabilities and the complete investment path. No trade or allocation is proposed.
This worked example concerns expiry only. It complements the put-option crash-protection guide, which also explains why sales before expiry depend on changing time value and implied volatility.
Key takeaways
The put’s own break-even and the combined stock-plus-put break-even use different starting costs.
The expiry payoff is not option profit: premiums and other costs must also be counted.
Equal starting wealth matters when comparing a protected portfolio with unhedged stocks.
Start with a fully funded package
Suppose one unit of an underlying costs $100. A put on that same unit, with the same currency and a $95 strike, costs $3. Both are purchased together. The package requires $103 in cash.
All figures are hypothetical nominal US dollars. The underlying pays no dividends during the holding period; cash interest, financing, fees and taxes are zero. The contract is honoured and settled at its expiry payoff. One unit is a simplified payoff unit, not a claim about an exchange contract's multiplier or an available market quote.
At expiry, let S be the underlying price:
Put payoff = max($95 − S, $0)
Package value = S + put payoff = max(S, $95)
The strike creates a floor in this particular terminal-value calculation. It does not erase the $3 premium already paid.
Three break-even questions
The put by itself earns a profit of max($95 − S, $0) − $3. It breaks even at $92. Below $92 it earns money; above $92 it loses some or all of its premium.
The underlying by itself breaks even at its $100 purchase price, given our no-dividend assumption.
The complete package breaks even at $103. At that price the put expires worthless, but the underlying's $3 gain covers the $3 option cost. At $100 the stock has broken even while the package has lost $3.
Expiry price
Put profit
Package value
Package return
$60
+$32
$95
−7.77%
$92
$0
$95
−7.77%
$95
−$3
$95
−7.77%
$100
−$3
$100
−2.91%
$103
−$3
$103
0.00%
$110
−$3
$110
+6.80%
Original hypothetical calculations; the expiry-payoff CSV includes additional prices, including zero, and the equal-capital unhedged comparator.
Why a 5% deductible becomes a 7.77% loss
The stock-to-strike gap is $5. The maximum package loss adds the $3 premium, giving $8. Relative to the actual $103 invested, that is 8 ÷ 103 = 7.77%.
Calling the result an 8% loss uses the stock's $100 price as the denominator. That may be a useful description of cost relative to equity exposure, but it is not the return on all capital invested. Calling it 5% ignores the premium entirely.
The strike-and-budget comparison extends this distinction to partially covered portfolios. A floor on one covered unit does not imply the same floor on uncovered holdings.
Break-even against cash is another hurdle
Recovering $103 is nominal break-even. If the same $103 could instead earn a hypothetical 3% over the holding period, matching cash requires $106.09 at expiry. In this example that requires the underlying to reach $106.09, because the put is worthless above $95.
An equal-capital stock comparator also starts with $103, allowing 1.03 units at $100 each. It ends at $113.30 when the underlying reaches $110, versus $110 for the protective package. The latter's +6.80% return should therefore be compared with the former's +10%, using equal initial wealth.
These comparisons answer different questions without changing the contractual payoff. They show why a hedge can deliver its intended protection and still reduce wealth over a particular period.
What changes outside this example?
An existing holding’s tax basis may differ from its current price. That changes tax or historical acquisition break-even; it does not replace current market value as the starting wealth in a forward economic-return comparison. Dividends alter total return. Borrowing introduces financing costs, and American-style exercise or physical settlement introduces operational choices. Selling before expiry requires a market value rather than the intrinsic-value formula used here.
Methodology and sources
The Options Industry Council makes the acquisition-price distinction explicit in its break-even discussion. Our calculations assume simultaneous acquisition, rather than claiming one universal break-even for every investor.
Checked on 28 October 2026. These are expiry identities under stated assumptions, not quoted insurance terms, an option-pricing model or investment advice.
FAQ
What is the break-even of a protective put at expiry?
For a newly bought underlying at $100 and a put costing $3, the $103 package breaks even at an underlying price of $103, assuming the put strike is below $103 and ignoring dividends, financing, fees and tax. Historical acquisition break-even and tax basis may differ, but a forward return comparison values an existing holding at its current market price.
Why is the put's break-even different from the portfolio's?
A put with a $95 strike and a $3 premium breaks even on its own at $92. But the combined holding includes the underlying's gain or loss. Its terminal value is the larger of the underlying price and $95, against a $103 initial package cost.
Does a $95 put limit a $100 stock investment to a 5% loss?
The strike limits the underlying-plus-payoff terminal value to at least $95 in this idealised fully matched example. Including a $3 premium, the package costs $103 and can lose $8, or 7.77%, at expiry. Coverage mismatches and expiry gaps can invalidate a portfolio-wide floor.
