Why Delta Neutrality Does Not Prevent Loss in a Call Calendar

Summary

The document considers a call calendar spread after the underlying falls substantially by the expiry of the short-dated option. The trader asks how to reduce risk without closing the position or rolling it forward, noting that the spread appears delta neutral even though both options are close to worthless and the position is near its maximum loss.

The response points to gamma neutrality as a possible consideration when constructing the position. Delta neutrality describes sensitivity to a small immediate price change; it does not by itself prevent losses as the underlying moves and the position’s sensitivities change. The answer is brief and does not provide a specific hedge, adjustment procedure, or analysis of the calendar’s volatility and time-decay exposures. Its practical lesson is limited: risk management must consider more than current delta, and a position that was not designed for the relevant risks may not be repairable after a large adverse move.

Key ideas

• A delta-neutral call calendar can still lose substantially after a large underlying move.
• Delta neutrality only describes the position’s immediate directional sensitivity.
• Gamma neutrality may be relevant when designing the position’s risk profile.
• The response does not give a specific repair strategy once a large loss has occurred.

Tags

# How to manage risk on a call calendar when underlying is falling


# How to manage risk on a call calendar when underlying is falling












Let us say I bough a call calendar spread. Now, at expiry of the short option, the underlying has decreased significantly, and I am approaching my max loss(i.e both the options are close to 0).

In this situation, what should I do to mitigate risk/hedge my position? Except for closing it for a loss and except for rolling it into the future?

The position is still delta neutral, so this confuses me. Because most position adjustments are geared towards making the position delta neutral. But this position is already delta neutral.

## Answer by Dark (score 0, accepted)

https://quant.stackexchange.com/a/16807

Maybe you need to make your position gamma neutral in the first place.

Once the underlying has decreased significantly, if you weren't delta and gamma neutral in the first place, you can't prevent a loss.

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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.