This paper contributes to the literature on the estimation of the Risk Neutral Density (RND) function by modeling the prices of options for West Texas Intermediate (WTI) crude oil that were traded in the period between January 2016 and January 2017. For these series we extract the implicit RND...

We analyze the implied volatility smile of a lognormal distribution on a 3 – month Lundbeck call option contract using the Brownian motion. There is significant time variation in the implied volatility smile and the traditional Black – Scholes model can not explain this deviation. The Black...

This paper describes a method for computing risk-neutral density functions based on the option-implied volatility smile. Its aim is to reduce complexity and provide cookbook-style guidance through the estimation process. The technique is robust and avoids violations of option no-arbitrage...