Options Academy
Covered Calls 102: The Math of Returns
How do you calculate the true return of a covered call? We dive deep into "Return if Exercised", "Return if Unchanged", and the impact of Margin on your yields.
The Three Key Metrics
When evaluating a covered write, you must calculate three things before entering the trade:
1. Return if Exercised: The max return if the stock rises above the strike.
2. Return if Unchanged: The "static" return if the stock goes nowhere.
3. Downside Break-even: The price at which you start losing money.
Scenario 1: Return if Exercised
Suppose you buy 500 shares of XYZ at $43 and sell 5 July 45 Calls for $3.00.
Net Investment = ($43 x 500) - ($3 x 500) = $20,000.
If called away at $45, you get $22,500. Plus you might get dividends (say $500).
Profit = ($22,500 Stock Sale + $500 Div) - $20,000 Net Investment = $3,000.
Return = $3,000 / $20,000 = 15%.
Net Investment
$20,000
Total Proceeds
$23,000
Net Profit
$3,000
Return if Exercised
15%
Scenario 2: Return if Unchanged
What if the stock stays flat at $43? You keep the stock and the premium.
Your stock is still worth $21,500 (500 x $43). You collected $1,500 premium + $500 dividends.
Profit = ($21,500 Stock + $500 Div + $1,500 Premium) - $21,500 Cost = $2,000.
Actually, simpler math: Profit = Premium + Dividends. $1,500 + $500 = $2,000.
Return = $2,000 / $20,000 (Net Investment) = 10%.
The Impact of Margin
If you do this in a margin account, your ROIC explodes. Regulation T allows you to borrow 50%.
Instead of putting up $20,000, you put up ~$10,000. Your profit (minus some margin interest) is divided by a much smaller base.
This leverage typically doubles your percentage return, but also doubles your risk.
Visualizing Return Leverage
The power of the covered call strategy is most evident when comparing the return profiles. Margin acts as a force multiplier for your yield.
In this chart, we compare the annualized returns for Cash vs. Margin. Notice how the return nearly doubles in both the "Flat" (Unchanged) and "Bullish" (Exercised) scenarios.
ROI Comparison: Cash vs. 2x Margin
- cash
- margin
Step-by-Step: The Margin Calculation
Here is the exact math for the "Unchanged" scenario (17.0%) shown above, assuming a 6-month hold and 8% margin interest rate:
1. Stock Cost: $21,500 (500 shares x $43).
2. Borrowed Funds: $10,750 (50% Regulation T). You pay interest on this.
3. Your Cash: $10,750.
4. Net Investment: $10,750 (Your Cash) - $1,500 (Premium) = $9,250.
5. Interest Cost: $10,750 x 8% x 0.5 years = $430.
6. Net Profit: $2,000 (Base Profit) - $430 (Interest) = $1,570.
7. Margin ROI: $1,570 / $9,250 = 16.97% (rounded to 17.0%).
Key Takeaways
Always calculate "Return if Unchanged" to see the value of the strategy in flat markets.
Return if Exercised is your maximum possible gain.
Margin can double your yield, but remember to factor in interest costs.
Net Investment = Stock Cost - Option Premium.
Key takeaways
- Always calculate "Return if Unchanged" to see the value of the strategy in flat markets.
- Return if Exercised is your maximum possible gain.
- Margin can double your yield, but remember to factor in interest costs.
- Net Investment = Stock Cost - Option Premium.
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