In this research we examine a new method for pricing European call options based on a nonparametric estimate of the probability density of the underlying asset’s returns. Such an approach allows the use of asymmetric and leptokurtic distributions. We estimate the density using a kernel estimation technique applied to random samples drawn from three particular underlying distributions: the Gauss...

Past literature has assumed that negative stock returns around Chapter 11 filing are solely due to new adverse information about firm value. This paper argues that there is also a nonlinear wealth transfer from shareholders to creditors causing shareholder loss. The magnitude of the wealth transfer can be quantified in a setting where equity is a call option on firm assets as in the Merton (197...

We examine a Markov tree (MT) model for option pricing in which the dynamics of the underlying asset are modeled by a non-IID process. We show that the discrete probability mass function of log returns generated by the tree is closely approximated by a continuous mixture of two normal distributions. Using this normal mixture distribution and risk-neutral pricing, we derive a closed-form express...

We develop a theory for option pricing with perfect hedging in an inefficient market model where the underlying price variations are autocorrelated over a time τ ≥ 0. This is accomplished by assuming that the underlying noise in the system is derived by an Ornstein-Uhlenbeck, rather than from a Wiener process. With a modified portfolio consisting in calls, secondary calls and bonds we achieve a...

There are two common methods for pricing European call options on a stock with known dividends. The market practice is to use the Black-Scholes formula with the stock price reduced by the present value of the dividends. An alternative approach is to increase the strike price with the dividends compounded to expiry at the risk-free rate. These methods correspond to different stock price models a...

In this article the problem of the American option valuation in a Lévy process setting is analysed. The perpetual case is first considered. Without possible discontinuities (i.e. with negative jumps in the call case), known results concerning the currency option value as well as the exercise boundary are obtained with a martingale approach. With possible discontinuities of the underlying proces...

In this paper we study the approximation of a sum of assets having marginal logreturns being multivariate normal inverse Gaussian distributed. We analyse the choice of a univariate exponential NIG distribution, where the approximation is based on matching of moments. Probability densities and European basket call option prices of the two-asset and univariate approximations are studied and analy...

Jaume Masoliver‡ Departament de F́ısica Fonamental, Universitat de Barcelona, Diagonal, 647, E-08028 Barcelona, Spain (Dated: May 28, 2008) Abstract We study the pricing problem for a European call option when the volatility of the underlying asset is random and follows the exponential Ornstein-Uhlenbeck model. The random diffusion model proposed is a two-dimensional market process that takes a ...

For the Barndorff-Nielsen and Shephard model, we present approximate expressions of call option prices based on decomposition formula developed by Arai (2021). Besides, some numerical experiments are also implemented to make sure how effective our approximations are.

The primary purpose of this paper is to model uncertain digital objects in view of nancial risk management in an open network. We have made an abstraction of the objects and deened the security token, which is abbreviated into a word coinage setok. Each setok has its price, values, and timestamp on it as well as the main contents. Not only the price but also the values can be uncertain and may ...