Crude oil exerts a strong influence on national economy. Changes of international crude oil price have an important effect on Chinese economy because of China’s high dependence on the import of the crude oil. Thus, Chinese stock market can be shocked by the fluctuation of oil price. Reversely, changes in crude oil imports of China have some effect on demands and price of the crude oil. This art...

In this note, we develop stock option price approximations for a model which takes both the risk o default and the stochastic volatility into account. We also let the intensity of defaults be influenced by the volatility. We show that it might be possible to infer the risk neutral default intensity from the stock option prices. Our option price approximation has a rich implied volatility surfac...

Volatility modeling and analysis are traditionally based on either historical price data or option data. Finance theory shows that option prices heavily depend on the underlying stocks’ prices, thus the two kinds of data are related. This paper explores the approach that combines both stock price data and option data to perform the statistical analysis of volatility. We investigate the Black-Sc...

One of the most important duties of financial economy is modeling and forecasting the volatilities of price of risky assets. From analysts and policy makers’ view, price volatility is a key variable contributing to perception of market volatilities. Therefore, analysts need to have an appropriate of forecast of price volatility as a necessary input to perform duties such as risk management, por...

Forecasting volatility is important to financial asset pricing because a more accurate forecast will allow for a more accurate model to price financial assets. Currently the VIX is used as a measure of volatility in the market as a whole, but a major issue with this is that it is calculated based on manually traded options on the S&P 500. Another method of forecasting volatility is that of solv...

We examine the relationship between price limits and stock market volatility. We find when price limits are made more (less) restrictive stock market volatility is usually not lower (higher). This finding contradicts conventional wisdom and the view of most regulators.  2001 Elsevier Science B.V. All rights reserved.

One obvious and major limitation in the classic Black-Scholes-Merton model is its assumption that the stock price follows a geometric Brownian motion with constant volatility. Even though there is no perfect way to determine the volatility of a stock, one thing we know for sure is that it varies in time in some random fashion. The implication of the constant volatility assumption leads to a log...

different areas of modern financial tools and processes activities contain the matters like innovations in financial tools engineering and risk management. derivatives and especially stock exchange option is part of this innovation. among all numerical procedures in calculating the value of derivatives and the risk sensitivity parameters of option, binomial models are widely used. in this stud...