Risk Reversal

A bullish risk reversal purchases a call and sells an equal quantity of lower-strike puts on the same underlying, with matching contract sizes and a common expiration. The put premium reduces the cost of the call, but introduces an obligation to purchase the underlying after a decline. The combined position has directional upside exposure rather than the limited loss of a standalone purchased call.

Reversing the trades produces a bearish risk reversal, consisting of a purchased put and a short call. The bullish construction considered here has unlimited upside profit potential and a substantial, but finite, maximum downside loss for a stock or ETF whose price cannot fall below zero.

Construction and example

A hypothetical example uses SPY at $750 and options with 45 days remaining. Selling one $725 put for $6.50 per share and purchasing one $775 call for $8.50 produces a $2 per-share net debit. Standard 100-share contracts receive a $650 put premium and require an $850 call premium, leaving a $200 initial payment.

The $200 debit is smaller than the price of the call alone, but it is not the position’s loss limit. The reduction in cost comes from accepting the obligation to buy 100 shares at $725 if the put is assigned.

Expiration payoff

From $725 through $775 at expiration, both options have zero intrinsic value and the position loses the $200 debit. Above $775, the call contributes $100 of payoff for each additional $1 rise in SPY. At $777, its $2 per-share payoff recovers the opening debit and produces the expiration break-even.

At $800, the call has $25 per share of intrinsic value and the put has no payoff. The $2,500 call payoff, less the $200 debit, gives a $2,300 profit. Further increases in SPY continue to increase profit without a fixed ceiling.

Below $725, the short put creates an increasing obligation while the call has no payoff. At $700, the put’s intrinsic value is $25 per share, or $2,500 for the contract. Adding the $2 per-share debit produces a $27 per-share loss, or $2,700 including the $200 opening payment. Each further $1 decline adds $100 to the loss until the theoretical zero-price boundary is reached.

The central loss interval separates two directional regions. A small net premium does not imply small exposure: the short put can create losses many times larger than the debit, and the purchased call provides no protection against that downside.

Value before expiration

With other pricing inputs unchanged, a rise in SPY generally helps both legs by increasing the call’s value and reducing the put’s repurchase cost. A decline has the opposite effect. The strength of this directional response changes as SPY approaches either strike and the options’ deltas change.

Volatility exposure is less straightforward. Higher implied volatility generally increases the purchased call’s value but also increases the short put’s liability. A rise concentrated in lower-strike put volatility can therefore hurt the position even if volatility at the call strike changes little. Passing time reduces the call asset and the put liability by potentially different amounts, so its net effect depends on the relative time values and underlying price.

Closing the position sells the call and buys back the put. The call proceeds less the put’s repurchase cost constitute the signed net closing receipt. Subtracting the original $2 per-share debit gives profit or loss per share; multiplying by 100 gives the result for the example pair. A closing transaction can be profitable before the underlying reaches the expiration break-even because the remaining option prices include time value.

Exercise, assignment, and execution

SPY options are American-style and physically settled. Assignment of the short $725 put purchases 100 shares at that price, while the $775 call remains a separate contract. Its purchase right does not establish a minimum sale price for the acquired shares. The account must fund or finance those shares and remains exposed to a further decline.

On the upside, selling the call realizes its market value, including any remaining time value. Exercising it instead purchases 100 shares at $775. If shares have already been acquired through put assignment, call exercise adds to that holding rather than offsetting it. Each leg’s resolution therefore affects the number of shares remaining after the options end.

A complex order can close both option legs at a net price while preserving their ratio for the filled quantity. It does not combine their exercise rights and obligations into a single contract. Funding requirements and any shares previously created by assignment remain separate considerations.

Payoff formulas

Let $K_P$ be the lower put strike, $K_C$ the higher call strike, and $d$ the call premium paid less the put premium received per share. Thus, positive $d$ is a debit and negative $d$ a credit. At final underlying price $S_T$, the result for $q$ matched pairs and multiplier $M$ is:

The call payoff is added, the put obligation subtracted, and the signed debit deducted. With a positive debit, the single break-even is:

The minimum result occurs at a zero underlying price. When $K_P+d>0$:

For an opening credit, $d<0$, the break-even instead lies at $K_P+d$, provided this is nonnegative. If that expression is negative, the mathematical root is outside the stock or ETF price range. At zero net premium, the full interval from $K_P$ through $K_C$ breaks even. Above the call strike, the positive slope leaves profit without a finite upper bound.