Risk Reversal
A risk reversal is an options strategy that combines a long out-of-the-money call with a short out-of-the-money put (or vice versa) on the same underlying, same expiration, and usually structured to be zero-cost by matching the premiums of the two legs. It is widely used in foreign exchange markets as both a trading strategy and a measure of directional volatility skew.
Key takeaways
- A long risk reversal (long OTM call + short OTM put) profits from underlying appreciation and loses on declines, synthetically replicating a leveraged long position.
- In FX markets, the risk reversal quote is the implied volatility differential between equivalent-delta puts and calls, serving as a market sentiment indicator.
- Zero-cost risk reversals require no upfront premium but create asymmetric payoff profiles with defined exposures across delta space.
- Negative risk reversal (higher implied vol on puts than calls) indicates that the market is paying more for downside protection—typical in equity markets where investors fear crashes.
- Risk reversals are frequently used by corporates for low-cost FX hedging and by hedge funds to express directional views with defined downside.
Explanation
A risk reversal structure consists of two option legs: a long call and a short put (or long put and short call) at different strike prices equidistant from the at-the-money forward level, typically at the 25-delta level in professional FX markets. The zero-cost condition requires that the premium received from the short leg offsets the premium paid for the long leg. If implied volatilities across the strike spectrum were flat (no skew), a perfect zero-cost structure would be achieved by selling a 25-delta put and buying a 25-delta call at the same implied volatility. In practice, implied volatility varies across strikes (the 'volatility smile' or 'skew'), so the two legs have different implied volatilities, and their premium difference is reflected in the risk reversal quote.
In the FX derivatives market, the risk reversal is quoted as the implied volatility difference: RR = IV_call_25Δ - IV_put_25Δ. A positive RR indicates that calls are more expensive (higher implied vol) than equivalent-delta puts, reflecting bullish market sentiment or demand for upside participation. A negative RR indicates that puts are more expensive—characteristic of equity markets, where crash risk protection commands a persistent premium ('negative skew'). Monitoring changes in the RR over time is a standard market intelligence tool for assessing shifts in directional sentiment and risk appetite.
From a trading perspective, a long risk reversal (long call, short put) creates a synthetic long position with delta close to zero initially but that becomes increasingly long as the underlying rises. The position profits from sharp upside moves and suffers from sharp downside moves. It is particularly attractive when the trader has a strong directional view but wants to avoid paying a large upfront premium; the zero-cost structure achieves this by monetizing downside exposure (via the short put) to finance the desired upside (via the long call). The key risk is the short put: if the underlying falls sharply, losses from the put can be substantial.
Corporates use risk reversals for FX hedging, particularly when they have a view on currency direction and are willing to give up some upside in exchange for protection. An exporter expecting to receive foreign currency (e.g., euros) in three months might sell a EUR call and buy a EUR put—paying for the put by selling the call—to lock in downside protection while retaining some benefit if EUR depreciates. This 'selling the upside to pay for the downside' structure is exactly the risk reversal logic.
Risk reversals also interact with the volatility surface dynamics. When the market sells off sharply (as in March 2020 or September 2008), implied volatility rises and the skew steepens—out-of-the-money puts become dramatically more expensive relative to calls. Traders who are short downside puts through risk reversals face accelerating losses as both delta (underlying falling) and vega (implied vol rising) work against them simultaneously. This 'double gamma trap' makes risk reversals potentially dangerous during stress events.
Formula
Risk Reversal (FX) = IV_25Δ_call - IV_25Δ_put; Net Payoff = max(S_T - K_call, 0) - max(K_put - S_T, 0)
Example
A currency overlay manager expects EUR/USD to appreciate from 1.0800 to above 1.1000 over the next three months. Rather than buying a EUR call outright (which costs 150 pips in premium), she structures a zero-cost risk reversal: buy a 3-month EUR call at 1.1000 strike (25-delta) and sell a 3-month EUR put at 1.0600 strike (25-delta). The call premium of 80 pips is offset by the put premium received of 80 pips, creating a zero-cost position. If EUR/USD rises to 1.1100, the call is worth approximately 100 pips (intrinsic) plus any remaining time value, generating a net gain. If EUR/USD falls to 1.0500, the short put loses approximately 100 pips intrinsic value, resulting in a net loss. The break-even range is 1.0600–1.1000; outside this range, the position generates profit (above 1.1000) or loss (below 1.0600).
Related terms
At The Money Bear Spread Charm Credit Support Annex Delta Equity Exchange Gamma Give Up Hedging Implied Volatility Intrinsic Value