A covered call, no matter how deep in the money the call is, is exactly the same thing as selling a PUT NAKED. See if your broker thinks this is a free trade? If a a call that is that far ITM it means the put is very far OTM. If the call has $3 of time value the put should as well. And for a put option that far OTM trading for 10% of the value of the stock, it must be a pharmaceutical company like Valeant or something that has a chance (as perceived by the market place) as going out of business.
As for FAILED TRADER. Selling an ITM put for $25 when it has $25 of intrinsic value (stock at $20 and the 45 strike put trading for $25) means it has NO time value. You can NOT make money on this unless the stock goes up. It is a LOT like buying the stock, actually.
I am NOT trying to poop on your ideas. If we are all thinking alike, someone is not thinking. But I want to point out dividend risk. If this stock pays a dividend while you are short the put, you can have other issues too. Just be careful as I don't like to sell any option without time value. It means the call at the same strike is probably going for $0.01 and I would rather buy that, then sell the put.
Just my 2 cents. Ignore it if you want. I am trying to be of help and not attacking. Thanks