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Covered Strangle: Own Shares, Sell a Call and a Put

For educational purposes only; not investment advice.

Direct answer

Section titled “Direct answer”

A covered strangle, also called a covered combination, consists of long 100 shares, one short call at a higher strike, and one short put at a lower strike, usually with the same expiration. It combines a covered call with a cash-secured put.

The name can mislead: only the call is covered by the existing shares. Put assignment requires buying another 100 shares, so the account needs sufficient cash or buying power. The position suits an investor willing to sell the original shares after a rise or double the shareholding after a decline. Upside profit is capped, while downside loss is substantial.

How the payoff works

Section titled “How the payoff works”

Let the original stock cost be B, call strike K_c, put strike K_p, total premiums P_c+P_p, and expiration stock price S_T, with K_p<K_c. Before fees and taxes, per-share-equivalent P/L is:

P/L = S_T−B + P_c+P_p − max(S_T−K_c,0) − max(K_p−S_T,0)

  • At or above K_c, call assignment sells the original shares at K_c; maximum profit is K_c−B+P_c+P_p.
  • Between the strikes, both options expire worthless and the position follows the original shares plus retained premiums.
  • Below K_p, the short put adds a second unit of downside exposure. Assignment normally buys another 100 shares at K_p.

Time decay generally helps both short options when other inputs are unchanged. Higher implied volatility generally hurts because it raises the value and repurchase cost of the short options. The long stock keeps the package directionally bullish, and below the put strike the downside sensitivity approaches that of 200 shares.

Own at 100, sell the 110 call and 90 put

Section titled “Own at 100, sell the 110 call and 90 put”

Assume an investor owns 100 shares bought at 100, sells one 110 call for 2.00, and sells one 90 put for 1.50. Total premium is 3.50 per share, or $350.

  • At S_T=115, the call is assigned and the original shares are sold at 110. Profit is (110−100+3.50)×100=$1,350, the maximum.
  • At S_T=100, both options expire worthless and profit is $350.
  • At S_T=96.50, the stock loss exactly offsets the premiums, so P/L is $0.
  • At S_T=90, P/L is (90−100+3.50)×100=−$650; put assignment can add 100 shares at 90.
  • At S_T=80, the original shares lose $2,000, the short put loses $1,000, and premiums add $350, for −$2,650.

If the stock becomes worthless, maximum loss is (100+90−3.50)×100=$18,650. That loss is finite because a stock cannot fall below zero, but it is much larger than the premium collected. The expiration break-even in this example is 96.50; below 90, losses accelerate because both the original shares and short put lose value.

Risk and execution checklist

Section titled “Risk and execution checklist”
  • Reserve enough cash or buying power for put assignment; the original shares do not secure that obligation.
  • Accept both inventory outcomes before entry: zero shares after call assignment or 200 shares after put assignment.
  • Short American-style options may be assigned early. A call assignment can remove the original shares while the short put remains open; a put assignment can add shares while the call remains open.
  • Around expiration, do not infer exercise from the closing quote alone. After-hours moves, holder instructions, and broker cutoffs can change the resulting position.
  • Check dividends, especially for an in-the-money short call, and monitor deep-in-the-money puts for early-exercise incentives.
  • Match contracts to the actual deliverable. Corporate actions can adjust a contract away from the standard 100 shares.
  • Model earnings gaps, halts, liquidity, bid-ask spreads, commissions, taxes, and account-specific margin.
  • Do not sell the original shares independently while leaving the call open unless the resulting uncovered-call risk is understood and permitted.

Common misconceptions

Section titled “Common misconceptions”
  • “The whole strangle is covered.” Only the call is covered; the put creates a separate purchase obligation.
  • “Premium protects against a crash.” The credit offsets only the first 3.50 of loss in the example; loss reaches $18,650 at zero.
  • “Maximum profit is unlimited because stock is owned.” The short call caps gains above its strike.
  • “Both options will be assigned at expiration.” With separated strikes, one expiration price cannot be simultaneously above the call strike and below the put strike, although early assignments on different dates are possible.
  • “Put assignment is a trading error.” Assignment is an intended outcome only if the investor truly wants and can fund another 100 shares.
  • “Positive theta makes the strategy conservative.” Time decay does not remove stock gap risk, assignment risk, or the doubled downside below the put strike.
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Authoritative sources

Section titled “Authoritative sources”