A State Price Density (SPD) is the density function of a risk neutral equivalent martingale measure for option pricing, and is indispensible for exotic option pricing and portfolio risk management. Many approaches have been proposed in the last two decades to calibrate a SPD using financial...

The calibration of option pricing models leads to the minimization of an error functional. We show that its usual specification as a root mean squared error implies fluctuating exotics prices and possibly wrong prices. We propose a simple and natural method to overcome these problems, illustrate...

This paper analyzes empirical market utility functions and pricing kernels derived from the DAX and DAX option data for three market regimes. A consistent parametric framework of stochastic volatility is used. All empirical market utility functions show a region of risk proclivity that is...

Market option prices in last 20 years confirmed deviations from the Black and Scholes (BS) models assumptions, especially on the BS implied volatility. Implied binomial trees (IBT) models capture the variations of the implied volatility known as "volatility smile". They provide a discrete...

Deribit exchange offers about 90\% open interest in the recent cryptocurrency options market. The dominating type of options listed in Deribit is the inverse BTC option, which is settled in BTC and thus allows professional traders to avoid frequent convert between cryptocurrency and fiat...

Bitcoin (BTC) has attracted a plethora of investors and professional traders and becomes an almost inevitable asset class in today's financial markets. Deribit, the largest exchange for crypto options, offers European-typed inverse options, which target to BTC in USD but have payoff denominated...

We distill tone from a huge assortment of NASDAQ articles to examine the predictive power of media-expressed tone in single-stock option markets and equity markets. We find that (1) option markets are impacted by media tone; (2) option variables predict stock returns along with tone; (3) option...