• The first ever explicit formulation of the concept of an option's probability density functions has been introduced in our publications "Breakthrough in Understanding Derivatives and Option Based Hedging - Marginal and Joint Probability Density Functions of Vanilla Options -- True...

We evaluate European financial options under continuous cumulative prospect theory. Within this framework, it is possible to model investors' attitude toward risk, which may be one of the possible causes of mispricing. We focus on probability risk attitudes and consider alternative probability...

Earnings announcements (EADs) are corporate events that provide investors with funda- mentally important information. The prospect of stock price rises may also contribute to EADs’ increased volatility. Using data on extremely short-term options, we study that bi-modality in the risk-neutral...

Arnold, Crack and Schwartz (ACS) (2010) generalize the Rubinstein (1994) risk-neutral implied binomial tree (R-IBT) model by introducing a risk premium. Their new risk-averse implied binomial tree model (RA-IBT) has both probabilistic and pricing applications. They use the RA-IBT model to...

This paper presents a set of probability density functions for Euribor outturns in three months’ time, estimated from the prices of options on Euribor futures. It is the first official and freely available dataset to span the complete history of Euribor futures options, thus comprising over...

We study discretizations of polynomial processes using finite state Markov processes satisfying suitable moment matching conditions. The states of these Markov processes together with their transition probabilities can be interpreted as Markov cubature rules. The polynomial property allows us to...