Yes and no.
It depends on how you define "capital." If you have a regular margin account and your buying power is reduced by the full amount, then it's true.
However, if you have a portfolio margin account, your buying power will not be impacted. More importantly, your *at risk* capital is $0. At risk capital is the most important factor because if you have no risk of losing any of the money, a sophisticated broker will not subtract it from your buying power.
2nd, this play can be structured in a way that zero cash will be tied up, thus leading to zero interest paid to the broker.
The synthetic short will stay.
However, you will replace 100s with a monthly DITM short put (2000p 1 month out for example). You will be paid the difference between 2000 and the current stock price upfront. Its delta will be 0.98. You will also be paid a small premium enough to cover the dealer spread.
This way, you will shell out zero cash. You can keep replacing the DITM short put every month until the IV crush has played out. Your buying power will not be impacted, neither will be your margin requirement.
Illustration:
Sell a 2400p 8/19 exp
Buy a 900p 06/2024
Sell a 900C 06/2024
The 2400 itself gives $150000 upfront
The 900 synthetic short gives another $5k <- pretty insane for an ATM synthetic short.
This $5k is a direct result of the recent call IV spike. As soon as IV gets back to normal, I'll pocket $5k
Instead of spending money to initiate this position, you will instead get $155k.
And get this, each position only increases my margin requirement by $3k
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