An Empirical Comparison: Two Special Cases of Cev Option Pricing Model and Black-scholes Model on S&p Canada 60 Index Call Options
نویسندگان
چکیده
Given that the options market is now very large and significant part of the trade of financial instruments, the evaluation of pricing of these derivatives becomes very important for regulators as well as market participants. The value of an option can be estimated by using a variety of quantitative techniques based on the concept of risk neutral pricing. In the famous Black-Scholes pricing formula it is assumed that the underlying stock price returns follow a lognormal distribution. However, empirical studies have shown that this assumption does not perfectly hold. Rubinstein (1994) examines the S&P 500 index option market and finds that Black-Scholes implied volatilities have a “smile” pattern prior to October 1987 market crash and a “sneer” after the crash. Consequently, several kinds of modification of the variances have been tried.
منابع مشابه
Barrier options pricing of fractional version of the Black-Scholes model
In this paper two different methods are presented to approximate the solution of the fractional Black-Scholes equation for valuation of barrier option. Also, the two schemes need less computational work in comparison with the traditional methods. In this work, we propose a new generalization of the two-dimensional differential transform method and decomposition method that will extend the appli...
متن کاملValuation 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...
متن کاملApplication of Monte Carlo Simulation in the Assessment of European Call Options
In this paper, the pricing of a European call option on the underlying asset is performed by using a Monte Carlo method, one of the powerful simulation methods, where the price development of the asset is simulated and value of the claim is computed in terms of an expected value. The proposed approach, applied in Monte Carlo simulation, is based on the Black-Scholes equation which generally def...
متن کاملOn the role of behavioral finance in the pricing of financial derivatives: the case of the S&P 500 options
The object of this study was to investigate some implications of the tenets of behavioral finance on the pricing of financial derivatives. In particular, based on the work by Wolff et al (2009) we have investigated how prospect theory (Kahneman and Tversky, 1979) can be intregrated into the Black and Scholes (1973) option pricing framework. We have then used the resulting " behavioral version "...
متن کاملPricing Barrier Options with Square Root Process
The square root constant elasticity of variance (CEV) process has been paid little attention in previous research on valuation of barrier options. In this paper we derive analytical option pricing formulae of up-and-out options with this process using the eigenfunction expansion technique. We develop an efficient algorithm to compute the eigenvalues where the basis functions in the formulae are...
متن کامل