In this paper we provide a closed-form approximation as well as a measure of the error for the price of several twodimensional derivatives under the assumptions of stochastic correlation and constant volatility. The method is applied to the pricing of Spread Options and Quantos Options, while three models for the stochatsic correlation are considered.

The theory of modular binomial lattices enables the simultaneous combinatorial analysis of finite sets, vector spaces, and chains. Within this theory three generalizations of Stifling numbers of the second kind, and of Lah numbers, are developed. 1. Stirling numbers and their formal generalizations The nota t ional convent ions of this paper are as follows: N = {0,1,2 . . . . }, P = {1,2,. . . ...

We propose an adaptive and explicit Runge–Kutta–Fehlberg method coupled with a fourth-order compact scheme to solve the American put options problem. First, free boundary problem is converted into system of partial differential equations fixed domain by using logarithm transformation taking additional derivatives. With addition intermediate function boundary, quadratic formula derived compute v...

A lookback option is an exotic that allows investors to look back at the underlying prices occurring over life of option, and exercise right assets optimal point. This paper proposes a mean-reverting stock model investigate in uncertain environment. The call put options pricing formulas are derived, corresponding numerical algorithms designed compute these two optio...

HRUŠKA JURAJ. 2015. Delta-gamma-theta Hedging of Crude Oil Asian Options. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 63(6): 1897–1903. Since Black-Scholes formula was derived, many methods have been suggested for vanilla as well as exotic options pricing. More of investing and hedging strategies have been developed based on these pricing models. Goal of this paper i...

The aim of this work is to use a duality approach to study the pricing of derivatives depending on two stocks driven by a bidimensional Lévy process. The main idea is to apply Girsanov’s Theorem for Lévy processes, in order to reduce the posed problem to the pricing of a one Lévy driven stock in an auxiliary market, baptized as “dual market”. In this way, we extend the results obtained by Gerbe...