In the present paper we fill an essential gap in the Convertible Bonds pricing world by deriving a Binary Tree based model for valuation subject to credit risk. This model belongs to the framework known as Equity to Credit Risk. We show that this model converges in continuous time to the model...

The Markov Tree model is a discrete-time option pricing model that accounts for short-term memory of the underlying asset. In this work, we compare the empirical performance of the Markov Tree model against that of the Black-Scholes model and Heston's stochastic volatility model. Leveraging a...

Recent work showed that securities prices behave as quantum chaotic quantities that described by quantum equations. We study pricing of European style options under that framework. The resulting volatility surface exhibits the smile and other characteristics of equity options. Additionally, we...

We consider the exact analytical pricing of an European option written on the spread between two correlated underlying assets. General model-independent properties of the option price are observed and an exact analytical expression for the spread option value is derived in the case of two...

In this paper we introduce a calibration procedure for validating of agent based models. Starting from the well-known financial model of Brock and Hommes 1998, we show how an appropriate calibration enables the model to describe price time series. We formulate the calibration problem as a...

A market recovery model, defined as a jump-diffusion model for the asset price where the jumps and the diffusion are not independent, is proposed. In this model a jump will be triggered when there is an unusually large downward movement over a certain time interval, and the jump size is...

Employee stock options (ESOs) are American-style call options that can be terminated early due to employment shock. This paper studies an ESO valuation framework that accounts for job termination risk and jumps in the company stock price. Under general Levy stock price dynamics, we show that a...

In practice, rather than to presume a hypothetical condition that needs be validated theoretically, it is sufficient to accept a real condition that exists and can be directly validated for practical purposes. This paper presents a practical approach to formulating the theoretical price of a...

A new acceptable price approach to stochastic endpoint determination at given horizon accounting for the marginal investor beliefs and behaviour was proposed. Two-sided filtration with FBSDE defined stochastic dynamics was formulated for acceptable asset price under the risk-neutral probability...