I'm trying to calculate the VIX index according to the methodology of CBOE. I am looking at commodity options. I found that at some time, like at this minute, there are 13 call options out of the money, but there're 3 or fewer put options out of the money. How to deal with such asymmetric problem? Any suggestion or hit is helpful.
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1$\begingroup$ @nbbo2 I understand that you mean. But is there any method to deal with such a problem? I'm tryin to calculate the VIX index of commodity options. During most time, there may not be enough option data... $\endgroup$– Joker ChairJul 27, 2022 at 5:56
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1$\begingroup$ I am assuming you do not want to use CBOE's CVOL? Or is your particular commodity not included in the indices? You could also "simply" use a 1m ATM IVOL as a proxy from a vol surface, provided you have one available. $\endgroup$– AKdemyJul 27, 2022 at 15:07
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2$\begingroup$ @AKdemy Thank you very much! I just saw the methodology of CVOL, it's very helpful! $\endgroup$– Joker ChairJul 28, 2022 at 1:56
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This is perhaps a bit of a stretch but how about inferring the value of the puts by using the put-call parity principle?
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$\begingroup$ Wouldn't put call parity just give options of the same strike? This doesn't solve the issue of lack of OTM puts. $\endgroup$– user34971Jul 27, 2022 at 12:01
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$\begingroup$ A strike which would make a call ITM makes a put OTM. I don't know how many ITM calls exist, however. $\endgroup$– LsvobJul 27, 2022 at 12:05
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2$\begingroup$ ITM options are generally less liquid. $\endgroup$– user34971Jul 27, 2022 at 12:07