Designing and Applying a Nonparametric Option Valuation Model

Designing a Valuation Model for Petroleum Startups

Development of downstream operations in the Iran's petroleum industry has always been considered as a necessity in to create more value-added. One of ways to accomplish the misson, especially in the current situation, is exploiting the capacity of petroleum startups. Considering that these companies need to be valued for financing, and since the traditional valuation methods do not provide effi...

Option valuation model with adaptive fuzzy numbers

In this paper, we consider moment properties for a class of quadratic adaptive fuzzy numbers defined in Dubois and Prade [D. Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980]. The corresponding moments of Trapezoidal Fuzzy Numbers (Tr.F.N’s) and Triangular Fuzzy Numbers (T.F.N’s) turn out to be special cases of the adaptive fuzzy number [S. Bodja...

Programming Project: Binomial-model option-valuation

Which GARCH Model for Option Valuation?

Characterizing asset return dynamics using volatility models is an important part of empirical finance. The existing literature on GARCH models favors some rather complex volatility specifications whose relative performance is usually assessed through their likelihood based on a time-series of asset returns. This paper compares a range of GARCH models along a different dimension, using option p...

Valuation of installment option by penalty method

In this paper, installment options on the underlying asset which evolves according to Black-Scholes model and pays constant dividend to its owner will be considered. Applying arbitrage pricing theory, the non-homogeneous parabolic partial differential equation governing the value of installment option is derived. Then, penalty method is used to value the European continuous installment call opt...