The objective of the paper is to extend the results in Fournié, Lasry, Lions, Lebuchoux, and Touzi (1999), Cass and Fritz (2007) for continuous processes to jump processes based on the Bismut-Elworthy-Li (BEL) formula in Elworthy and Li (1994). We construct a jump process using a subordinated...

This study develops a quasi-closed-form solution for the valuation of an American put option and the critical price of the underlying asset. This is an important area of research both because of a large number of transactions for American put options on different underlying assets (stocks,...

The subject of the article is the presentation of an unconventional method of establishing the value of the company together with investment ventures basing on the concept of real options (Real Option Valuation ROV). The option calculation can be applied in many areas, such as: evaluation of...

La presente investigación tiene como objetivo principal desarrollar un análisis de toma de decisiones bajo incertidumbre a través de la aplicación de opciones reales en la evaluación de inversiones en proyectos mineros. Asimismo, se propone estudiar el comportamiento de los precios del oro,...

In option pricing models with correlated stochastic processes, an option premium is commonly a solution to a partial differential equation (PDE) with mixed derivatives in more than two space dimensions. Alternating direction implicit (ADI) finite difference methods are popular for solving a PDE...

In this study, we use Neural Networks (NNs) to price American put options. We propose two NN models-a simple one and a more complex one-and we discuss the performance of two NN models with the Least-Squares Monte Carlo (LSM) method. This study relies on American put option market prices, for...

The purpose of this paper is to estimate the default probabilities in infrastructure projects. For that, we analyze the exposure of the lenders to a state of default. This application is made by assuming the debt service coverage ratio (DSCR) dynamic itself and the payment profile determined by...

Monte Carlo methods are widely-used simulation tools for market practitioners from trading to risk management. When pricing complex instruments, like mortgage-backed securities (MBS), strong path-dependency and high dimensionality make the Monte Carlo method the most suitable, if not the only,...

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...

This paper proposes the sample path generation method for the stochastic volatility version of the CGMY process. We present the Monte-Carlo method for European and American option pricing with the sample path generation and calibrate model parameters to the American style S&P 100 index options...