Protective Put Parameters

$
Entry price per share (the price you buy or already own the stock at)
$
Strike of the put you buy (typically below current stock price)
Calendar days remaining
%
Annualized implied volatility of the long put
$
Premium paid increases your breakeven price
%
Annualized risk-free rate
%
Annualized dividend yield
Each contract = 100 shares of stock

Protective Put Quick Reference

P/L at Expiration:

If S ≥ K: P/L = (S - Stock Price - Premium) × 100 × Qty

If S < K: P/L = (K - Stock Price - Premium) × 100 × Qty

Key Terms:

  • S = Stock price at expiration
  • K = Put strike price
  • Breakeven = Stock Price + Premium per share
  • Max Profit = Unlimited (stock rises, less put cost)
  • Max Loss = (Stock Price - K + Premium) × 100 × Qty

Key Metrics

Total Investment --
Max Profit --
Max Loss --
Breakeven --
Put Premium --
Stock Cost --

Formula Breakdown

P/L (if S ≥ K) = (S - Stock Price - Premium) × 100 × Qty
Breakeven = Stock Price + Premium per share

P/L Diagram

Ryan O'Connell, CFA
CALCULATOR BY
Ryan O'Connell, CFA
CFA Charterholder & Finance Educator

Finance professional building free tools for options pricing, valuation, and portfolio management.

Understanding Protective Puts

Video Explanation

Video: Protective Put Options Strategy Explained

What Is a Protective Put?

A protective put involves owning 100 shares of stock and buying a put option — typically at a strike below the current stock price, though it can also be at or above. The put acts as insurance: if the stock drops below the strike, the put locks in a minimum selling price. You keep all upside above the breakeven but pay the put premium for protection.

Choosing a lower strike reduces the premium cost but provides less protection; a higher strike (even above the stock price) offers more protection but costs more. This is a popular hedging strategy for investors who are bullish long-term but want to limit downside risk during periods of uncertainty.

Key Characteristics

  • Max Profit: Unlimited (stock rises, less put cost). The put expires worthless and you keep all gains above the breakeven.
  • Max Loss: (Stock Price - Strike + Premium) × 100 × Qty. Limited by the put floor — the stock can fall to $0 and your loss is still capped.
  • Breakeven: Stock Price + Premium per share
  • Outlook: Bullish with downside protection
  • Cost: Net debit (stock purchase cost plus put premium paid)
  • Time Decay: Works against the long put — the protection erodes over time as the put loses value

How to Read the P/L Chart

The solid blue line (At Expiration) shows the protective put payoff: below the strike, the P/L is flat at the max loss (the put floor protects you). Above the strike, profit rises linearly as the stock price increases — there is no cap on upside.

The dashed dark blue line (Today / T+0) represents the theoretical P/L at trade entry, computed using Black-Scholes for the long put. The smooth curve shows how the position value changes with the stock price while time value remains in the option.

IV Mode vs. Premium Mode

IV Mode: Enter implied volatility, and the calculator uses Black-Scholes to estimate the put premium. This mode also enables the “Today (T+0)” P/L curve on the chart, showing theoretical value before expiration.

Premium Mode: Enter the exact premium you paid (or expect to pay). Useful when you know the actual market price. Only the expiration payoff curve is shown because IV is needed to compute theoretical values before expiration.

When to Use a Protective Put

  • You own shares and want downside protection during uncertainty
  • Before earnings, macro events, or periods of elevated risk
  • You are bullish long-term but worried about short-term drops
  • Alternative to a stop-loss order (put won't be triggered by intraday wicks)
  • You want to maintain upside exposure while limiting maximum loss
Model Assumptions: This calculator uses the Black-Scholes model which assumes European-style exercise. American-style puts can be exercised early, but early exercise of a protective put is uncommon unless the stock drops significantly and the put is deep in the money. The expiration payoff diagram remains accurate regardless of exercise style. The model also assumes constant volatility, continuous dividend yield, and a constant risk-free rate.

Frequently Asked Questions

A protective put involves owning 100 shares of stock and buying a put option — typically at a strike below the current stock price, though it can also be at or above. The put acts as insurance: if the stock drops below the strike, the put locks in a minimum selling price. You keep all upside above the breakeven but pay the put premium for protection.

The maximum loss is (Stock Price - Strike + Put Premium) × 100 × Number of Contracts. This occurs if the stock falls to or below the strike at expiration. The put floor limits your downside — unlike owning stock alone, you cannot lose more than this amount regardless of how far the stock drops.

The breakeven price is Stock Price + Put Premium per share. The stock must rise by the amount of the premium paid for the put to break even. Below this price, the position is at a net loss (though the loss is capped at the max loss). Above it, the position profits dollar-for-dollar with the stock.

Higher implied volatility (IV) increases the cost of the put premium, which raises your breakeven price and increases the maximum loss. However, higher IV also means the market expects larger moves, so the insurance may be more valuable. The protective put buyer pays more for protection when IV is elevated — consider whether the insurance cost is justified by the expected risk.

Use IV mode when you want the calculator to estimate the put premium using Black-Scholes. This also enables the Today (T+0) P/L curve on the chart, showing theoretical value before expiration. Use premium mode when you know the exact premium being offered in the market and want to see the expiration payoff based on that known cost.

This calculator uses the Black-Scholes model, which assumes European-style options (exercisable only at expiration). American-style puts can be exercised early, but early exercise of a protective put is uncommon unless the stock drops significantly and the put is deep in the money. The expiration P/L diagram remains accurate regardless of exercise style.

A protective put guarantees a minimum selling price regardless of market conditions — it cannot be triggered by intraday wicks or gaps. A stop-loss order is free but provides no guarantee: the stock can gap below your stop price, resulting in execution far below the intended exit. Protective puts cost premium but provide certainty; stop-losses are free but provide only best-effort protection.
Disclaimer

This calculator is for educational purposes only. Options trading involves significant risk of loss. Actual option prices and P/L may differ due to market conditions, bid-ask spreads, dividends, early exercise (American options), and other factors. The Black-Scholes model makes simplifying assumptions including constant volatility and European-style exercise. This is not financial advice. Consult a qualified professional before making investment decisions.

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