Long Put Option Calculator

A long put is the purchase of a single put option, which gives you the right to sell 100 shares at the strike price on or before expiration. It is a bearish strategy that profits as the stock falls, with risk limited to the premium paid. Traders also call it buying a put, and when it is held against shares it doubles as portfolio insurance.

BearishWants rising IVBeginnerLimited profitLimited risk
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How the long put works

Position legs

Building Long Put

Rates, dividends and costs
Long Put payoff diagram-$500$0$500$1,000$1,500$2,0007580859095100105110115120125UNDERLYING PRICE AT DATENOW 100.00BE 96.61

Long Put at a glance

ConstructionBuy 1 at the money put in the front month expiration.
OutlookBearish
Volatility viewWants rising IV
Max profitStrike price minus premium paid, times 100, reached if the stock falls to zero.
Max lossPremium paid times 100 per contract.
BreakevenStrike price minus premium paid per share.
Experience levelBeginner
Also calledBuy put, Put option

How a long put works

Buying a put gives you short exposure to a stock without borrowing shares or facing the unlimited risk of a short sale. You pay the premium once, and that is your total commitment. As the stock falls the put gains value, and as it rises the put loses value until it is worthless above the strike at expiration. Because the option is American style, you can sell, hold or exercise it at any point. Exercising without owning shares creates a short stock position, so most traders sell the put instead.

At expiration the payoff is the mirror image of a long call. Above the strike the put expires worthless and you lose the premium. Below the strike the put gains a dollar of intrinsic value for each dollar the stock falls. Profit is large but not unlimited, because a stock cannot fall below zero. The best case is the stock going to zero, where the put is worth the full strike. Your breakeven is the strike minus the premium you paid.

Before expiration the put carries time value that erodes daily, with the steepest decay in the last few weeks for at the money strikes. Put prices are also sensitive to implied volatility, which tends to jump when stocks sell off. That relationship can help a long put, since a sharp decline often arrives with higher volatility. It can also hurt if you buy after volatility has already spiked and it settles back down while the stock goes sideways.

Long Put example with real numbers

Long Put payoff diagram-$500$0$500$1,000$1,500$2,0007580859095100105110115120125UNDERLYING PRICE AT DATENOW 100.00BE 96.61
Long Put payoff diagram: profit and loss at expiration (solid) and today (dashed) for the example below. Yellow dots mark breakevens.

With the stock at $100, implied volatility at 30%, a 4.1% risk free rate and no dividend, you would buy 1 100 put (32 days) at $3.39. That is a net debit of $339. At expiration a maximum profit of $9,661 and a maximum loss of $339, with a breakeven at $96.61. The lognormal chance of profit is 35%.

These are theoretical American option prices from the Bjerksund and Stensland model, not live quotes. Load any ticker in the long put calculator above to run the same math on real market prices.

When to use a long put

  • You expect the stock to fall meaningfully before expiration and want losses limited to the premium.
  • You want bearish exposure without borrowing shares, paying borrow fees, or facing unlimited short sale risk.
  • You want to hedge a long stock position or a portfolio against a sharp decline for a known, fixed cost.
  • You anticipate a negative catalyst and implied volatility does not already price in a large move.

Max profit, max loss and breakeven

Maximum profit

Strike price minus premium paid, times 100, reached if the stock falls to zero. Profit is substantial but capped, because a stock price cannot go below zero.

Maximum loss

Premium paid times 100 per contract. This full loss occurs if the stock closes at or above the strike at expiration.

Breakeven

Strike price minus premium paid per share. The stock must close below this level at expiration for the long put to be profitable.

Long Put Greeks

  • Delta: Delta is negative, near minus one half for an at the money put and moving toward minus one as the put goes deeper in the money. The position gains as the stock falls.
  • Gamma: Gamma is positive, so the put's delta becomes more negative as the stock drops and gains accelerate on a decline. Gamma is highest near the strike close to expiration.
  • Theta: Theta is negative. The put loses time value every day, and the decay speeds up as expiration nears, especially if the stock hovers near the strike.
  • Vega: Vega is positive. Higher implied volatility increases the put's value, which often helps during selloffs, while a volatility decline reduces it.

See the live numbers for your position in the Greeks tab of the calculator, or explore a single option in the options Greeks calculator.

Early exercise and assignment risk

Unlike calls, American puts can be worth exercising early even when the stock pays no dividend. When a put is deep in the money, its value is almost entirely intrinsic, and exercising lets you receive the strike price in cash today and earn interest on it. Once that interest outweighs the little time value left, early exercise is rational. That is why the binomial and Barone Adesi and Whaley prices in the calculator can sit above European values for puts, and the gap widens as interest rates rise.

Dividends push the other way for puts. The stock drops by roughly the dividend on the ex dividend date, which adds value to the put, so holders of in the money puts usually wait until after the ex date to exercise. Keep in mind that exercising a put you hold without shares leaves you short 100 shares per contract, with margin requirements and possible borrow fees. A put in the money at expiration is exercised automatically, so sell it beforehand if you do not want a short stock position.

The calculator's Early exercise risk tab flags short legs that are likely to be assigned. For a single option, use the early exercise calculator or read how early exercise and assignment work.

Pros and cons

Pros

  • Risk is limited to the premium, unlike a short sale where losses can be unlimited.
  • Gains accelerate on a sharp decline thanks to positive gamma and rising volatility.
  • No need to borrow shares or pay stock borrow fees.
  • Doubles as a hedge for shares you already own.

Cons

  • Time decay erodes the put every day the stock fails to fall.
  • Put premiums are often richer than call premiums because of volatility skew.
  • The stock must fall below the breakeven, not just lower, by expiration.
  • Profit is capped at the strike minus the premium since a stock cannot fall below zero.

How to manage a long put

  • Set exits before entering, such as a target price on the stock and a maximum loss on the premium.
  • Consider taking profits into a volatility spike, since put prices can deflate quickly once fear subsides.
  • Convert a winning put into a bear put spread by selling a lower strike put, which locks in part of the gain and cuts decay.
  • Close or roll before expiration if you do not want automatic exercise to create a short stock position.

Long Put FAQ

How does a long put make money?

A long put makes money when the stock falls below the strike minus the premium by expiration, or when the put's market price rises before then. You can sell the put for a profit at any time without ever touching the shares. Rising implied volatility can also lift the put's value.

Long put vs short selling: what is the difference?

A long put caps your risk at the premium, while a short sale has unlimited risk if the stock rallies. Short selling requires borrowing shares and paying any dividends and borrow fees, but it has no expiration or time decay. A put expires, so you must be right about timing as well as direction.

Can a put option be exercised early?

Yes, American style puts can be exercised on any business day before expiration. Early exercise can be rational for deep in the money puts when the interest earned on the strike proceeds exceeds the remaining time value. Holders usually wait until after an ex dividend date, because the dividend drop raises the put's value.

What happens to a long put at expiration?

A long put that finishes in the money is exercised automatically, which sells 100 shares per contract at the strike. If you own the shares they are sold; if you do not, you become short the stock. An out of the money put expires worthless and the premium is your loss.

Educational tool, not financial advice. Calculations are theoretical and depend on your inputs; real fills, fees, early assignment and dividends can change results. Options involve risk and are not suitable for every investor.