Pricing options and bid-ask spread

Consider a non-liquid option market with a wide bid-ask spreads across all strikes.

Spot: $52

A snapshot of the $50 strike shows:

Bid - Ask
Call: 2 - 4.5
Put: 0.5 - 3.5
Assume 0% interest.

Is there a set of rules or a model that could minimize the range of possible IV's by entering the option's bid/ask prices?

because these options have a very wide spread and their last price changes sporadically i cannot achieve one appropriate fair value/IV for each option, and as i have mentioned, it's applies to all strikes and therefore i'm incapable of forming a skew. so my question is if there's a math way to obtain min&max fair value outcomes for each option?
 
Back
Top