This paper investigates the common volatility structure of Taiwan’s stock and exchange rate markets. The two markets are often linked together and we are interested in knowing whether price or volume is a good proxy to pursue this issue. We claim that Taiwanese government interventions distort the timing of conventional price volatility clustering in the two markets. The unrestricted trading vo...

In this text, Fractional Brown Motion theory during random process is applied to research the option pricing problem. Firstly, Fractional Brown Motion theory and actuarial pricing method of option are utilized to derive Black-Scholes formula under Fractional Brown Motion and form corresponding mathematical model to describe option pricing. Secondly, based on BYD stock, estimation model on volat...

The Black~scholes formula for pricing options on stocks and other securities has been generalized by Merton and Garman to the case when stock volatility is stochastic. The derivation of the price of a security derivative with stochastic volatility is reviewed starting from the first principles of finance. The equation of Merton and Garman is then recast using the path integration technique of t...

Many studies assume stock prices follow a random process known as geometric Brownian motion. Although approximately correct, this model fails to explain the frequent occurrence of extreme price movements, such as stock market crashes. Using a large collection of data from three different stock markets, we present evidence that a modification to the random model--adding a slow, but significant, ...

Due to the fast delivery of news articles by news providers on the Internet and/or via news datafeeds, it becomes an important research issue of predicting the risk of stocks by utilizing such textual information available in addition to the time series information. In the literature, the issue of predicting stock price up/down trend based on news articles has been studied. In this paper, we st...

Explaining dividend policy has been one of the most difficult challenges facing financial economists. Despite decades of study, we have yet to completely understand the factors that influence dividend policy and the manner in which these factors interact.The aim of this paper is to examine the relation between dividend policy and share price volatility in Tehran Stock Exchange (TSE). The analys...

Recent explanations of aggregate stock market fluctuations suggest that countercyclical stock market volatility is consistent with rational asset evaluations. In this paper, I develop a framework to study the causes of countercyclical stock market volatility. I find that countercyclical risk premia do not imply countercyclical return volatility. Instead, countercyclical stock volatility occurs ...

According to the volatility feedback effect, an unexpected increase in squared volatility leads to an immediate decline in the price–dividend ratio. In this paper, we consider the properties of stock price dynamics and option valuations under the volatility feedback effect bymodeling the joint dynamics of stock price, dividends, and volatility in continuous time. Most importantly, our model pre...