Value-at-Risk (VaR) has become a standard measure for risk management and regulation. In the case of a two-parameter distribution, a common method among practitioners is first to calculate the daily VaR and then to apply it to a longer investment horizon by using the Square Root Rule (SRR). We...

In this study, the relationship between oil price movements and Turkish stock market is investigated. Given the fact that Turkey is an emerging and oil dependent country, we analyze how the stock market behaves together with the fluctuations in oil prices. The study focuses on extreme...

We develop a new theory of asset return and volatility based on the stable law and Lihn's former work on the lambda distribution. The accomplishments are twofold: First, the newly discovered stable count distribution models the stationary distribution of VIX with high statistical precision....

The past decade has witnessed the rapid growing of the world palladium market. Thus, it is even more important to develop effective quantitative tools for risk management of palladium assets at this moment. In this paper, we investigate five different types of widely-used statistical...

Since its launch in 2008, Bitcoin becomes one of the most successful and fast-growing alternative currencies. As of 2017, the market capitalization is around $46 billions and arguably expected to continue growing. The Bitcoin to the US dollar exchange rate has been very volatile and fluctuating...

The Tokyo Stock Exchange (TSE) is the fourth largest stock exchange in the world by aggregate market capitalization of its listed companies and largest in East Asia and Asia. It is of great importance for those in charge of managing risk to understand how its market index returns are...

Much of financial engineering is based on so-called “complete markets” and on the use of the Black-Scholes formula. The formula relies on the assumption that asset prices follow a log-normal distribution, or in other words, the daily fluctuations in prices viewed as percentage changes follow...

This paper presents evidence suggestive of a conditional violation of weak-form market efficiency. Evidence suggests that the AR coefficient monotonically decreases along the return distribution, for each value and equal weighted market indices. These results suggest that the AR coefficient is...