Option Parameters

$
Current stock price at trade entry
$
Strike price of the call option
Calendar days remaining
%
Annualized implied volatility
$
Option price per share
%
Annualized risk-free rate
%
Annualized dividend yield
Each contract = 100 shares

Short Call Quick Reference

P/L at Expiration:

P/L = Total Credit - max(S - K, 0) × 100 × Qty

Total Credit = Premium per Share × 100 × Qty

Key Terms:

  • S = Stock price at expiration
  • K = Strike price
  • Qty = Number of contracts
  • Breakeven = K + Premium per share

Key Metrics

Entry Credit --
Max Profit --
Max Loss --
Breakeven --
Call Premium --
Move to BE --

Formula Breakdown

P/L = Total Credit - max(S - K, 0) × 100 × Qty
Breakeven = Strike 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 Short Calls

What Is a Short Call Option?

A short call option (writing a call) obligates you to sell shares at the strike price if the buyer exercises. You collect a premium upfront, and your maximum profit is limited to that premium.

Short calls are a bearish or neutral strategy: you profit when the stock stays at or below the strike price, allowing the option to expire worthless.

Key Characteristics

  • Max Profit: Limited to the total premium received (entry credit)
  • Max Loss: Theoretically unlimited as the stock rises
  • Breakeven: Strike price + premium received per share
  • Outlook: Bearish or neutral (you expect the stock to stay flat or fall)
  • Time Decay: Works in your favor (option loses value as time passes)

How to Read the P/L Chart

The solid blue line (At Expiration) shows your profit or loss if you hold the position until expiration. The inverted bent shape shows the short call's limited upside (capped at premium received) and unlimited downside above the strike.

The dashed dark blue line (Today / T+0) represents your theoretical P/L at trade entry, computed using the Black-Scholes model. At T+0, this curve sits below the expiration line because the option still holds time value that works against the seller. As time passes, the T+0 curve rises toward the expiration curve — this is time decay working in your favor as a seller.

IV Mode vs. Premium Mode

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

Premium Mode: Enter the exact premium you received (or expect to receive) per share. This is useful when you know the actual market price. In this mode, only the expiration payoff curve is shown because IV is needed to compute theoretical values before expiration.

When to Use a Short Call

  • You expect the stock to stay flat or decline
  • You want to collect premium income from selling options
  • You have a bearish or neutral outlook on the stock
  • You understand and accept the unlimited risk if the stock rises significantly
Naked Short Call: This calculator models an uncovered (naked) short call — selling a call without owning the underlying shares. A covered call (selling a call while holding the stock) has a different risk profile. Do not use this calculator for covered call analysis.
Model Assumptions: This calculator uses the Black-Scholes model, which assumes European-style options, constant implied volatility, continuous dividend yield, and a constant risk-free rate. These are standard simplifications for educational purposes.

Frequently Asked Questions

A short call option (also called writing a call) obligates you to sell shares at the strike price if the buyer exercises. You collect a premium upfront. Your maximum profit is limited to that premium, while your loss is theoretically unlimited if the stock rises.

The maximum loss on a short call is theoretically unlimited because the stock price can rise without limit. When the stock finishes above the strike price, your loss per share is (Stock Price − Strike Price) − Premium Received. This is multiplied by 100 shares per contract and the number of contracts. Below the strike price, the option expires worthless and you keep the full premium.

The breakeven price for a short call is Strike Price + Premium Received per Share. At this stock price at expiration, the loss on the call exactly equals the premium you collected, resulting in zero profit or loss. Below the breakeven, you keep some or all of the premium; above it, you have a net loss.

Implied volatility (IV) represents the market's expectation of future stock price movement. Higher IV means higher option premiums, which benefits short call sellers because they collect more premium upfront. However, higher IV also means greater risk of a large stock move against the position.

Use IV mode when you want the calculator to estimate the theoretical option price using Black-Scholes. This also enables the T+0 (today) P/L curve on the chart, which shows how your position value changes before expiration. Use premium mode when you know the exact premium you received or expect to receive and want to see the expiration payoff based on that known credit.

This calculator uses the Black-Scholes model, which assumes European-style options (exercisable only at expiration). However, the expiration P/L diagram is identical for American and European calls on non-dividend-paying stocks. For dividend-paying stocks, American calls may be exercised early, which could change the actual outcome versus the theoretical model.
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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