Options Pricing Model: American Style Options
Covered Call Strike Price Assessment
Use this calculator to estimate the likelihood of a call option being exercised at different strike price levels.
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1. Use Delta as a Probability Proxy
- Delta (from options pricing models) estimates the probability that an option will be ITM at expiration.
- A delta of 0.30 (30%) or lower is a common threshold for selecting covered calls that are unlikely to be exercised.
- Example: If a stock is trading at $100, a $110 strike call with a 0.25 delta suggests only a 25% chance of being ITM at expiration.
2. Consider Standard Deviations (Expected Price Range)
Use implied volatility (IV) and the expected move formula:
ExpectedMove=StockPrice×IV×DTE365Expected Move = Stock Price \times IV \times \sqrt{\frac{DTE}{365}}ExpectedMove=StockPrice×IV×365DTEWhere:
- IV = implied volatility (from the options chain)
- DTE = days to expiration
Choosing a strike at least 1 standard deviation away (about 68% probability of staying out of the money) reduces the likelihood of assignment.
3. Historical Volatility & Support/Resistance Levels
- Identify key resistance levels where the stock has struggled to break through.
- If a strike price aligns with technical resistance, it’s less likely to be breached.
- Compare historical volatility to determine if the stock tends to make large moves.
4. Time to Expiration & Theta Decay
- Shorter expirations (e.g., 30 days or less) benefit from faster time decay (theta), making it easier to buy back the option before it goes ITM.
- Longer-term calls (60+ days) allow for more stock movement, increasing the risk of assignment.
5. Use Percent Distance from Current Price
- A general rule: Sell calls 5%-10% above the current price, depending on the stock’s volatility.
- Low volatility stocks (e.g., utilities) → Use 5%-7% OTM strikes.
- High volatility stocks (e.g., tech, growth) → Use 10%-15% OTM strikes.
Example Calculation
- Stock Price: $100
- IV: 25%
- DTE: 30 days
- 1 Standard Deviation Move: 100×0.25×30/365≈5.14100 \times 0.25 \times \sqrt{30/365} \approx 5.14100×0.25×30/365≈5.14
- Safe Strike: $105 or higher
- Check Delta: If the $105 strike has a delta ≤ 0.30, it’s a solid candidate.
Final Strategy
- Pick a strike that:
- Has delta ≤ 0.30
- Is 1 standard deviation above the current price
- Aligns with a resistance level
- Offers a good risk-reward balance (premium vs. probability of exercise)