Strategy #0000000009 · Options and payoff structures
Short straddle and strangle
Collect a fixed premium while selling both tails.
Sell a call and a put with the same expiry. A straddle shares one strike; a strangle places the put lower and call higher. Maximum profit is limited to net premium while extreme moves can cause large losses.
The premium caps the maximum gain; a large move in either direction can cause substantial loss.
Three ways in
Understand the story. Then inspect the risk.
Start with a familiar situation, check the payoff, then test how the numbers change.
The idea · in two minutes
Jack collects two premiums; Rose asks how much he could owe
Jack expects a quiet month and sells a 100 call and 100 put for a total 6.85. Rose asks what happens if the market gaps. Jack realises his receipt is fixed while the obligations are not.
At expiry at 100, he keeps 6.85. At 80, the put has 20 intrinsic value and he loses 13.15 net. At 120, the call creates the same loss; a further rally keeps increasing the short call loss.
This is short volatility and convexity, not a stable coupon. Gaps, earnings, higher margin, early assignment and weekend exposure can change the account quickly; a stop order cannot guarantee its fill through a gap.
- S=80The short put intrinsic value exceeds premium received.
- S=93.15Lower expiry break-even.
- S=100Maximum expiry profit.
- S=106.85Upper expiry break-even.
- S=120Short-call losses keep growing as price rises.
Illustrative research examples only. They are not live signals or a recommendation.
The mechanics · payoff and exposure
At expiry, short-straddle P&L equals premium received minus the absolute distance from the strike.
S_T is expiry price, K is the common strike, and C₀+P₀ is total premium received per share. A short strangle uses K_p<K_c.
Greeks: the directional intuition
- Delta
- Measures first-order sensitivity to the underlying price.
- Gamma
- Measures how quickly delta changes as the underlying moves.
- Theta
- Captures the effect of time passing, all else equal.
- Vega
- Measures sensitivity to implied volatility.
At expiry, short-straddle P&L equals premium received minus the absolute distance from the strike.
Practical context · published observations
Short straddle P&L: read the record with its caveats.
The chart uses the published figures or explicitly labelled study inputs below. A historical index or model replay is not the same as an investor’s realised account return.
未計保證金、平倉價差、跳空、融資、費用與稅；上行虧損無上限，以下幾列不能代表尾部最大值。 Source ↗ · Methodology ↗
Change assumptions and inspect the scenario
Inputs illustrate the strategy mechanics; they are not live quotes, forecasts or investment advice.
Variants · same family, different risk levers
Eight short-volatility variants add different hedges and exposures.
Wider strikes reduce premium; gamma hedges and commodity or FX versions introduce new market and execution risks.
| Related strategy | Relationship | What changes | New cost or risk |
|---|---|---|---|
| Short strangle | Wider wings | Sells a lower put and a higher call, widening the middle expiry range. | Usually receives less than a straddle while retaining large tail risks. |
| Short guts | In-the-money legs | Sells a higher-strike put and lower-strike call, typically both in the money. | Higher-looking premium comes with different delivery and financing exposure. |
| Short call synthetic straddle | Synthetic short volatility | Combines a short call with linear exposure to approximate a short straddle. | Borrow, funding, dividends and replication error change risk. |
| Short put synthetic straddle | Synthetic short volatility | Pairs a short put with corresponding linear exposure. | Margin, financing and borrowability make nominal equivalence imperfect. |
| Volatility risk premium selling | Risk-premium hypothesis | Systematically sells options when implied volatility is above subsequent realised volatility. | The premium is not fixed; tail losses can cluster in crises. |
| Gamma-hedged volatility premium | Dynamic hedge | Dynamically hedges delta/gamma to isolate a volatility premium. | Hedge slippage, discrete hedging error and gaps remain. |
| Commodity volatility premium | Asset-class variant | Sells volatility risk premium in commodity options. | Futures rolls, seasonality, delivery and price limits add risk. |
| Currency volatility premium | Asset-class variant | Sells volatility premium in FX options. | Cross-currency rates, jumps and fixing conventions change exposure. |
Premium is compensation for convexity risk, never a guaranteed interest payment.
Read beyond the summary
References
Primary sources and research used to describe the strategy and its limits.
- 01OIC, Short Straddle: premium, break-evens, assignment and unlimited upside risk.official
- 02OIC, Short Strangle: wider expiry range and tail-loss mechanics.official
- 03OCC, Characteristics and Risks of Standardized Options.official
- 04Kakushadze & Serur, 151 Trading Strategies, §2.23 (author version).source