In this article, I incorporate the anchoring-and-adjustment heuristic into the Black-Scholes option pricing framework, and show that this is equivalent to replacing the risk-free rate with a higher interest rate. I show that the price from such a behavioralized version of the Black-Scholes model...

Taking a portfolio perspective on option pricing and hedging, we show that within the standard Black-Scholes-Merton framework large portfolios of options can be hedged without risk in discrete time. The nature of the hedge portfolio in the limit of large portfolio size is substantially different...

We propose a nonparametric Bayesian approach for the estimation of the pricing kernel. Historical stock returns and option market data are combined through the Dirichlet Process (DP) to construct an option-adjusted physical measure. The precision parameter of the DP process is calibrated to the...

In this paper we propose a novel flexible framework based on time changed Lévy process for the joint evolution of stock log-returns and their volatility with the aim of analysing which risk factors and which distribution features provide a robust calibration, repricing and hedging performance....

When investing in derivatives portfolios (such as options), the delta-gamma approximation (DGA) is often used as a risk management strategy to reduce the risk associated with the underlying asset price. However, this approximation is accepted only for small changes of the underlying asset price....

This research proposes a new option pricing model. The model revises the unimodal probability distribution assumption used in the past, and proposes a bimodal probability distribution for option pricing. The bimodal probability distribution proposed in this study can be degenerated to a unimodal...