Pricing European Options Based on a Logarithmic Truncated <i>t</i>-Distribution
نویسندگان
چکیده
The t-distribution has a “fat tail” feature, which is more suitable than the normal probability density function to describe distribution characteristics of return on assets. difficulty using price European options that fat tail can lead deviation in one integral required for option pricing. We use called logarithmic truncated options. A risk neutral valuation method was used obtain pricing model with t-distribution.
منابع مشابه
Pricing European Options without Probability∗
It is well known that in the case where the stock price St is governed by the equation dSt/St = μdt + σdWt, any European option satisfying weak regularity conditions has a fair price (the Black—Scholes formula and its generalizations). We consider the case where no probabilistic assumptions are made about St; instead, we assume that the derivative security D which pays a dividend of (dSt/St) (t...
متن کاملEuropean Options Pricing Using Monte Carlo Simulation
European options can be priced using the analytical solution of the Black-Scholes-Merton differential equation with the appropriate boundary conditions. A different approach and the one commonly used in situations where no analytical solution is available is the Monte Carlo Simulation. We present the results of Monte Carlo simulations for pricing European options and we compare with the analyti...
متن کاملPricing European Options in Realistic Markets
We investigate the relation between the fair price for European-style vanilla options and the probability of short-term returns on the underlying asset in the absence of transaction costs. If the asset’s future price has finite expectation, the option’s fair value satisfies a parabolic partial differential equation of the Black-Scholes type in the absence of arbitrage opportunities. However, th...
متن کاملA Novel Pricing Method for European Options Based on Fourier-Cosine Series Expansions
Abstract. Here we develop an option pricing method for European options based on the Fourier-cosine series, and call it the COS method. The key insight is in the close relation of the characteristic function with the series coefficients of the Fourier-cosine expansion of the density function. In most cases, the convergence rate of the COS method is exponential and the computational complexity i...
متن کاملPricing European Call Options Using a Pseudospectral Method
G. Linde, M. Åberg. 2004: Pricing European Call Options Using a Pseudospectral Method. Written in English. Uppsala, Sweden. The aim of the project is to price European call options with a pseudospectral method (PS). An option is a financial asset that can be resembled to a lottery coupon. In a predefined time in the future the option is either worthless or worth more than it was bought for. Bla...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2023
ISSN: ['2327-4379', '2327-4352']
DOI: https://doi.org/10.4236/jamp.2023.115087