Strategy #0000000005 · Options and payoff structures
Long risk reversal
Fund one side of a directional view by selling the other tail.
A bullish risk reversal buys an out-of-the-money call and sells an out-of-the-money put. The sale can reduce the premium, but it adds real downside exposure.
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 calls it a cheap upside ticket. Rose asks who pays if the floor gives way.
Jack buys a call above today’s price and sells Rose a put below it. “The premium nearly cancels, so it is basically free,” he says. Rose points at the short put: “Free like a puppy, then?” If the market falls through her put strike, Jack may have to buy the asset at that higher strike.
Between the two strikes, both options can expire out of the money, leaving only the net premium. Above the call strike, Jack participates in the rally. Below the put strike, the short put drives losses as the asset falls. A zero-cost quote only describes the initial option premium; it does not mean zero risk.
Risk reversals are often used to express a directional view or compare implied volatility skew. The two wings, the net premium and the market conventions must all be stated before “cheap” gets anywhere near the trade ticket.
| Underlying at expiry | Underlying P/L | Options P/L | Total | What happens |
|---|---|---|---|---|
| 0.9800 | −$25.60 | +$0.00 | −$25.60 | Below the put strike, the short put creates growing losses. |
| 1.0277 | +$1.60 | +$0.00 | +$0.00 | Between strikes, only the net premium remains. |
| 1.1200 | +$93.90 | +$0.00 | +$73.40 | Above the call strike, upside participation begins. |
Illustrative figures only. They exclude fees, tax, financing and other costs unless stated. They are not live prices or a recommendation.
The mechanics · payoff and exposure
A long risk reversal has a short put at Kₚ and a long call at K꜀. Its payoff is flat between strikes before premium, with a short downside tail and long upside tail.
Kₚ is the short-put strike, K꜀ the long-call strike and H the signed net premium (positive for a debit, negative for a credit).
Greeks: the directional intuition
- Delta
- Measures first-order sensitivity to the underlying price.
- Gamma
- Measures how quickly delta changes as the underlying moves.
- Vega
- Measures sensitivity to implied volatility.
- Theta / Rho
- Measures sensitivity to implied volatility.
A long risk reversal has a short put at Kₚ and a long call at K꜀. Its payoff is flat between strikes before premium, with a short downside tail and long upside tail.
Practical context · published observations
Long risk reversal · modelled spot paths: 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.
This is a modelled replay using stated assumptions, not observed option fills. Source ↗ · Methodology ↗
What if the underlying expires here?
Adjust the inputs to see a theoretical expiry payoff. The starting values are teaching assumptions, not live quotes.
Calculation model: This simplified expiry model excludes early close-out value, assignment timing, funding, tax, dividends and transaction costs.
Variants · same family, different risk levers
Eight relatives reverse the trade, add a wing or turn it into a signal.
Some rows are true long/short mirrors; seagulls add a leg and reshape a tail. Skew premia and carry-crash signals are research questions or indicators.
| Related strategy | Relationship | What changes | New cost or risk |
|---|---|---|---|
| Short combo / short risk reversal | Directional mirror | Buy a lower-strike put and sell a higher-strike call to create bearish exposure. | A sharp rise can create an unbounded short-call loss; this is not a safe premium-collection trade. |
| Bullish short seagull | Bullish position · add a short call | Use a short out-of-the-money put to help fund a bull call spread, then sell another call to cap the upside. | Downside below the put remains substantial, and gains above the third strike are surrendered. |
| Bearish long seagull | Bearish position · add a long-call wing | Buy an out-of-the-money call on top of a short combo to protect the upside tail. | The extra wing costs premium and only caps losses above its strike; the put-side exposure remains. |
| Bearish short seagull | Bearish position · put-spread structure | Use a short out-of-the-money call to help fund a bear put spread for a lower-cost bearish payoff. | The short call leaves upside-tail liability, while the put spread caps gains on a fall. |
| Bullish long seagull | Bullish position · add a long-put wing | Add an out-of-the-money put to a long combo to protect the downside below its strike. | The wing costs a debit and protection starts only below its strike; premium can still erode a flat-market result. |
| Volatility-skew risk reversal | Relative-volatility view | Compare put and call implied-volatility skew when selling a relatively dearer put and buying a call. | Without delta hedging it remains directional; hedging adds rebalancing costs and exposure to skew changes. |
| Delta-hedged risk-reversal premium | Premium research · dynamic hedge | Use delta hedging to study the risk-neutral skew premium of out-of-the-money puts relative to calls. | Results depend on the volatility surface, hedge frequency, gaps and costs; a paper’s premium is not this page’s unhedged payoff. |
| Risk reversal as a carry-crash signal | Risk indicator · not a position | Use FX risk-reversal quotes to measure the price of left-tail protection as a possible crowded-carry or crash-risk signal. | Findings vary by market, sample and forecast target; a risk-neutral price is not a real-world crash probability. |
The source combines eight related entries. These labels separate position structures, added-leg risks and research signals instead of treating them as one strategy.
Read beyond the summary
References
Primary sources and research used to describe the strategy and its limits.
- 01CME Group, Introduction to CVOL Skew — source and methodologyofficial
- 02CME Group, Micro E-mini Nasdaq-100 vs FAANG — source and methodologyofficial
- 03Federal Reserve Board via FRED, U.S. Dollars to Euro Spot Exchange Rate [DEXUSEU].data
- 04Hull & Sinclair (2021), “The Risk-Reversal Premium,” SSRN 3968542.research
- 05Costa Filho (2016), “The information content of risk reversals in emerging market currencies,” Brazilian Review of Finance 14(3), 403–441.research
- 06Brunnermeier, Nagel & Pedersen (2008), “Carry Trades and Currency Crashes,” NBER Working Paper 14473.research
- 07Kakushadze & Serur (2018), 151 Trading Strategies, §§2.12–2.13, 2.54–2.57 and 7.5. Author version.source