I have to laugh! All prices, incl. energy prices, are to be treated as lognormally distributed prices.
Therefore, you are simply using the wrong option pricing model!
You have to use the FairPut option pricing model over both Bachelier and also over BSM, to have a mathematical correct model!
Well it makes plenty of money, and my option prices are always spot on with the MMs. If I used the FairPut model I would just be long every put and short every call....and deep in the red. The FairPut model would make me lift every put offer and sell every call bid on the screen. You would bankrupt a nice sized prop firm with the FairPut model.
You should try your FairPut model with your own money or your parents money and find out in a real trading environment if it works. The proof is in the pudding.
I have to laugh! All prices, incl. energy prices, are to be treated as lognormally distributed prices.