Hi, is there any way to find out what the value of VIX should be if SPX options were repriced to reflect historic volatility (say, HV30) instead of the current SPX option prices which reflect implied volatility? I am looking for a way to figure out if VIX is undervalued or overvalued based on computing a historic-volatility-based value for it and comparing it to spot VIX. Thank you.

You can do the math yourself, or type historical vols into the relevant fields on your Bloomberg.