Synthetic Put Exits in a Limited-Margin IRA

Summary

The document asks how to close an in-the-money American put in a limited-margin IRA when the option has poor liquidity, uncovered options and short stock positions are prohibited, and exercising would forfeit remaining time value. It considers buying a delta-scaled long position in the underlying as a synthetic exit. In expectation, the position may realize the put’s time value as expiration approaches, but the result depends on realized volatility.

The central concern is that lower realized volatility than implied volatility could make the put’s realized value less than its value when the holder wanted to sell. The document asks whether volatility exposure can be hedged within the account’s restrictions or whether a better synthetic strategy exists. It presents the issue as an open question: it supplies no proposed hedge, tested strategy, or evidence that the delta-based approach works in practice.

Key ideas

• A delta-scaled long position in the underlying is proposed as a way to exit an illiquid long put synthetically.
• The proposed approach may capture time value over time but remains exposed to realized volatility.
• The account rules prohibit short stock and uncovered option writing, constraining possible hedges.
• The document does not resolve how to hedge volatility or identify a better exit strategy.

Tags

# Synthetically sell to close puts in limited-margin IRA


# Synthetically sell to close puts in limited-margin IRA












Suppose:

- I bought an American put on a stock in a retail brokerage IRA, where I can't sell short or write uncovered options.

- The put is ITM and has served its purpose for hedging.

- The put is thinly traded and nobody is making reasonable bids.

- The put still has significant time value, so I don't want to just exercise it and give up that value

How can I "synthetically" sell the put (subject to the constraints in #1)?

One thing I could do is to "delta" buy and delta-scale a long position in the underlying. If I do this during the time to expiration then in expectation I will realize the time value of the put.

The problem with this strategy is that it leaves me exposed to volatility: If the realized volatility is lower than the current implied volatility then in expectation the realized value of the put will be lower than the fair value at the moment I wanted to sell it.

Is there a practical way to hedge the volatility exposure, subject to the constraints in #1?

Or, is there a better way to synthetically sell the put?

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

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