# BS Implied Volatility under Normal returns

If I use theoretical prices under a normal valuation model, and I estimate their implied volatility using BLACK SCHOLES implied volatility, do I'll get corresponding log normal volatility?

• To find the theoretical prices then you will have to use a guess at volatility. If you use that theoretical price, your implied volatility will simply be your guess. That volatility, BTW, is annual, log-normal volatility, because of the Ln(S0/K) in the calculation of d1. – rajah9 Dec 17 '13 at 21:11
• How do you define "theoretical prices"? Option prices or the prices of the underlying? Keep in mind that price volatility of the underlying or the option itself are completely different concepts from implied volatility, even the dynamics of their correlations are completely unpredictable. – Matthias Wolf Dec 18 '13 at 5:56
• With "theoretical prices" I mean risk free option prices. – Julian Lopez Baasch Dec 18 '13 at 12:32
• I think this is a similar question: quant.stackexchange.com/questions/28186/… – Jaehyuk Choi Feb 17 '17 at 8:21