Synthetic Covered Call Calculator

Analyze the synthetic covered call strategy using a short put as an equivalent position. Compare capital requirements and returns to traditional covered calls.

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Written by Sarah Chen, CFP
Certified Financial Planner
JW
Fact-checked by Dr. James Wilson, PhD
Options Strategy Researcher
Covered CallsFact-Checked

Input Values

$

Current stock price.

$

Strike of the short put (equivalent to covered call strike).

$

Premium received from selling the put.

Calendar days to expiry.

Each contract = 100 shares.

$

Cash set aside to cover potential assignment.

Results

Maximum Profit
$0.00
Maximum Loss$0.00
Breakeven Price
$0.00
Return on Capital
0.00%
Annualized Return0.00%
Results update automatically as you change input values.

What Is a Synthetic Covered Call?

A synthetic covered call is a position that replicates the risk-reward profile of a traditional covered call but uses options instead of stock ownership. Through put-call parity, selling a cash-secured put at a given strike produces the exact same payoff as owning the stock and selling a covered call at that same strike. This equivalence is one of the most important concepts in options theory and has practical implications for capital efficiency.

The primary advantage of a synthetic covered call (short put) over a traditional covered call is capital efficiency. A cash-secured put requires you to set aside cash equal to the strike price times 100, while a traditional covered call requires purchasing the shares. In a margin account, the cash-secured put may require significantly less capital.

Put-Call Parity: The Mathematical Proof

Put-Call Parity
Long Stock + Short Call = Short Put (at same strike)
Where:
Long Stock = Owning 100 shares
Short Call = Selling a call at strike K
Short Put = Selling a put at strike K
Synthetic Covered Call (Short Put) Max Profit
Max Profit = Put Premium x 100 x Contracts
Where:
Put Premium = Premium received from selling the put
Synthetic Breakeven
Breakeven = Strike Price - Put Premium
Where:
Strike Price = Put strike price
Put Premium = Premium per share
Synthetic vs. Traditional Covered Call
Given
Stock Price
$100
Strike
$100 (ATM)
Call Premium
$3.50
Put Premium
$3.00
DTE
30 days
Calculation Steps
  1. 1Traditional CC: Buy stock at $100, sell $100 call for $3.50
  2. 2 Capital needed: $10,000 - $350 = $9,650
  3. 3 Max profit: $350 (3.62% return)
  4. 4 Breakeven: $96.50
  5. 5Synthetic CC: Sell $100 put for $3.00
  6. 6 Capital needed: $10,000 cash secured (or less on margin)
  7. 7 Max profit: $300 (3.00% return)
  8. 8 Breakeven: $97.00
  9. 9The traditional CC earns slightly more due to interest rate effects in put-call parity
Result
Both strategies have nearly identical risk profiles. The traditional covered call earns slightly more premium, but the synthetic (short put) may require less margin in some accounts.

Comparison Table

Traditional Covered Call vs. Synthetic (Short Put)
FeatureTraditional CCSynthetic (Short Put)
PositionLong Stock + Short CallShort Put only
Capital (cash account)Full stock priceFull strike price x 100
Capital (margin)50% of stock~20% of strike value
Premium IncomeCall premiumPut premium (slightly less)
Dividend EligibilityYes (you own shares)No
Assignment ResultDeliver shares at strikeReceive shares at strike
ComplexityTwo legsOne leg
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When to Use the Synthetic Approach

Use a synthetic covered call (short put) when you want capital efficiency, do not need dividend income, and want a simpler one-leg position. Use a traditional covered call when you already own the shares, want dividends, or need the stock position for other reasons.

How to Trade a Synthetic Covered Call

1
Choose the Strike
Select the same strike you would use for a covered call. ATM or slightly OTM puts work best.
2
Sell to Open the Put
Place a 'Sell to Open' order for the put at your chosen strike and expiration.
3
Secure the Cash
In a cash account, set aside cash equal to strike x 100 per contract. In a margin account, the requirement is lower.
4
Manage Like a Covered Call
Buy back the put at 50% profit or let it expire. If assigned, you receive shares at the strike price.
5
Convert to Traditional CC
If you are assigned shares through the put, you can then sell covered calls on those shares, completing the cycle.

Frequently Asked Questions

A synthetic covered call uses a short put option to replicate the payoff of a traditional covered call (long stock + short call). Through put-call parity, both strategies have identical profit/loss profiles at expiration.

Sources & References

  • U.S. Securities and Exchange Commission (SEC) - Investor Education
  • Options Clearing Corporation (OCC) - Options Education
  • Chicago Board Options Exchange (CBOE) - Options Strategies
  • Hull, J.C. "Options, Futures, and Other Derivatives" (11th Edition, 2021)

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