Straddle Parameters

$
Current market price per share
$
Same strike for both the call and put (typically at-the-money)
Calendar days remaining
%
Annualized implied volatility (same for both legs)
$
Premium paid for the long call
$
Premium paid for the long put
%
Annualized risk-free rate
%
Annualized dividend yield
Each straddle = 1 call + 1 put (×100 shares)

Straddle Quick Reference

P/L at Expiration:

If S ≤ K: P/L = (K - S - Total Premium) × 100 × Qty

If S > K: P/L = (S - K - Total Premium) × 100 × Qty

Key Terms:

  • S = Stock price at expiration
  • K = Strike price (same for call and put)
  • Upper BE = K + Total Premium per share
  • Lower BE = K - Total Premium per share
  • Max Profit = Unlimited on upside; capped on downside (stock can't go below $0)
  • Max Loss = Total Premium × 100 × Qty (at S = K)

Key Metrics

Total Cost --
Max Profit --
Max Loss --
Upper Breakeven --
Lower Breakeven --
Call / Put Premium --

Formula Breakdown

P/L (if S > K) = (S - K - Total Premium) × 100 × Qty
Upper BE = K + Total Premium  |  Lower BE = K - Total Premium

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 the Long Straddle

Video Explanation

Video: Long Straddle Options Strategy Explained

What Is a Straddle?

A long straddle involves buying a call option and a put option on the same underlying stock, at the same strike price, with the same expiration date. You pay the combined premium (call + put) upfront, and the position profits from large moves in either direction.

The strategy is most commonly used at-the-money (strike = current stock price). The total cost is the sum of both premiums, and you need the stock to move far enough from the strike to exceed this total cost before the position becomes profitable.

Key Characteristics

  • Max Profit: Unlimited on the upside (stock rises far above strike). On the downside, profit is capped at (Strike - Total Premium) × 100 × Qty (stock falls to $0).
  • Max Loss: Total Premium Paid × 100 × Qty. Occurs when the stock equals exactly the strike at expiration — both options expire worthless.
  • Upper Breakeven: Strike + Total Premium per share
  • Lower Breakeven: Strike - Total Premium per share (only if > 0)
  • Outlook: Neutral — expecting a large move but unsure of direction
  • Cost: Net debit (you pay both premiums upfront)
  • Time Decay: Works against you — both options lose time value daily

How to Read the P/L Chart

The solid blue line (At Expiration) shows the straddle’s V-shaped payoff. The vertex (lowest point) is at the strike price, where both options expire worthless and the loss equals the total premium paid. Moving away from the strike in either direction, the P/L rises linearly.

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

IV Mode vs. Premium Mode

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

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

When to Use a Straddle

  • Before earnings announcements when you expect a big move but don’t know the direction
  • Ahead of FDA decisions, litigation outcomes, or other binary events
  • When implied volatility is low relative to expected future volatility
  • When you want no directional bias — pure volatility exposure
  • Hedging a portfolio against large unexpected moves in a key holding
Model Assumptions: This calculator uses the Black-Scholes model which assumes European-style exercise. For a long straddle, early exercise is rarely optimal because both options have time value remaining. The model also assumes constant volatility, continuous dividend yield, and a constant risk-free rate. In practice, call and put IVs may differ due to skew; this calculator uses a single IV for both legs.

Frequently Asked Questions

A long straddle involves buying a call option and a put option on the same underlying stock, at the same strike price, with the same expiration date. The strategy profits from large moves in either direction. You pay the combined premium (call + put) upfront, and the position becomes profitable once the stock moves far enough from the strike to exceed the total premium paid.

The maximum loss is the total premium paid (call premium + put premium) multiplied by 100 shares per contract multiplied by the number of contracts. This occurs when the stock price equals exactly the strike price at expiration, meaning both options expire worthless. The loss is limited to the initial investment — you cannot lose more than the total premium paid.

A straddle has two breakeven points. The upper breakeven is the strike price plus the total premium paid per share. The lower breakeven is the strike price minus the total premium paid per share. The stock must move beyond one of these breakeven points by expiration for the position to be profitable. If the total premium exceeds the strike price, only the upper breakeven is economically reachable.

Implied volatility (IV) has a significant impact on straddle pricing because you are buying two options. Higher IV increases both the call and put premiums, making the straddle more expensive and pushing the breakeven points further apart. Straddle buyers want IV to rise after entry (or the stock to move sharply), while high IV at entry makes it harder to profit because the stock needs a larger move to cover the inflated premium cost.

Use IV mode when you want the calculator to estimate both the call and put premiums 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 call and put premiums being offered in the market and want to see the expiration payoff based on those known costs.

This calculator uses the Black-Scholes model, which assumes European-style options (exercisable only at expiration). For a long straddle, early exercise is rarely optimal because both options have time value remaining. The expiration P/L diagram remains accurate regardless of exercise style, making this calculator practical for American-style options in most scenarios.

A straddle is best used when you expect a large price move but are uncertain about the direction. Common scenarios include before earnings announcements, FDA decisions, major economic data releases, or other binary events. The key is that the expected move must be larger than what the market has already priced in via implied volatility. If the stock does not move enough, both options lose value due to time decay.
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.

Course by Ryan O'Connell, CFA, FRM

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