VARIANCE GAMMA MODEL AND ITS DEVELOPMENT FOR STOCKS CALL OPTION PRICES ESTIMATION
نویسندگان
چکیده
One of the developments in options market is formation various pricing models for an option to help buyer determine fairness price. Black-Scholes model uses assumption that log return price stocks normally distributed, while reality, real-world couldn’t fit into assumption. To be able obtain calculation considers skewness and kurtosis stock data, there are many alternative methods, namely with Gram-Charlier expansion Variance Gamma models. As a development model, also several methods reduce simulations variance generated by Antithetic Variate Importance Sampling method. For results, really resulting so it can produce more accurate prices compared model. In end, all call line than Black Scholes
منابع مشابه
Local Variance Gamma and Explicit Calibration to Option Prices
In some options markets (e.g. commodities), options are listed with only a single maturity for each underlying. In others, (e.g. equities, currencies), options are listed with multiple maturities. In this paper, we analyze a special class of pure jump Markov martingale models and provide an algorithm for calibrating such model to match the market prices of European options of multiple strikes a...
متن کاملThe Variance Gamma Process and Option Pricing
A three parameter stochastic process, termed the variance gamma process, that generalizes Brownian motion is developed as a model for the dynamics of log stock prices. The process is obtained by evaluating Brownian motion with drift at a random time given by a gamma process. The two additional parameters are the drift of the Brownian motion and the volatility of the time change. These additiona...
متن کاملA New Option Pricing Model for Stocks in Uncertainty Markets
This paper presents a type of stock models for uncertain markets by using uncertainty theory. Firstly, a brief history of stock models and some methodologies are reviewed. Next, some useful concepts and properties about uncertain process are recalled. Then, a stock model for uncertain markets is formulated by the tool of uncertain differential equation. Some option pricing formulas on the prop...
متن کاملEfficient Monte Carlo and Quasi - Monte Carlo Option Pricing Under the Variance Gamma Model
W develop and study efficient Monte Carlo algorithms for pricing path-dependent options with the variance gamma model. The key ingredient is difference-of-gamma bridge sampling, based on the representation of a variance gamma process as the difference of two increasing gamma processes. For typical payoffs, we obtain a pair of estimators (named low and high) with expectations that (1) are monoto...
متن کاملEstimation of Asset Distributions from Option Prices: Analysis and Regularization
We analyze the stability of a method for estimating the risk-neutral density (RND) for the price of an asset from option prices. The method first applies the principle of maximum entropy, where the maximum entropy solution (MES) corresponds to the estimated RND. Next, it provides an effective characterization of the constraint qualification (CQ) under which the MES can be computed by solving th...
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: International Journal of Financial and Investment Studies
سال: 2022
ISSN: ['2745-3952']
DOI: https://doi.org/10.9744/ijfis.3.1.43-51