基于分形理論的國(guó)際干散貨航運(yùn)價(jià)格指數(shù)研究
[Abstract]:The risk of international dry bulk shipping market mainly comes from the uncertainty of shipping price. With the development of the world economy and the increasing demand for basic raw materials and energy, the global shipping industry is extremely active. More and more attention has been paid to the research of shipping price. Through the summary of the research on the shipping market, the price research of dry bulk shipping market is mostly based on the efficient market theory and the normal distribution as the basic hypothetical condition, so it can not explain the fluctuation of the dry bulk shipping price. The research on stock market price, which is similar to shipping price, is based on fractal theory and fractal distribution. The theoretical basis of this paper analyzes the hypothetical conditions and limitations of efficient market theory and fractal theory in the study of price volatility, which proves that fractal theory is more suitable for the study of price volatility. Fractal distribution has a more general form of distribution, which can better fit the price fluctuation of dry bulk shipping. The third chapter uses histogram test method, JB test method and KS test method to test the distribution normality on different time scales of international dry bulk freight price index. The results show that the international dry bulk freight price index is not fit for normal distribution on any time scale, but has the fractal distribution characteristic of sharp peak and thick tail. Using the method of fractal distribution parameter estimation, the fractal distribution parameters of daily income series of dry bulk freight rate index are estimated. It is further proved that international dry bulk cargo index service is fractal distribution, and its distribution is described in detail. Compared with the fitting results of fractal distribution and normal distribution to dry bulk index distribution, fractal distribution can better reflect the price fluctuation, normal distribution will overestimate the income and underestimate the risk. On the basis of determining the fractal distribution structure of international dry bulk freight rate index, this paper studies its fractal characteristics. By comparing the fractal distribution structure of international dry bulk freight index daily income series, weekly earnings series and monthly earnings series, it is proved that the freight price index has statistical self-similarity structure under different time scales. The box dimension reflects the fractal dimension characteristics of price index, and the freight price index has similar box dimension in different time scales, which indicates that the roughness and complexity of time series are similar. The results of R / S analysis show that the international dry bulk freight index has long-term memory characteristics. By studying the fractal distribution structure and fractal characteristics of international dry bulk shipping price index, the paper proves that the international dry bulk shipping price index service has fractal characteristics such as self-similarity, fractal dimension and long-term memory. On this basis, the volatility and risk of dry bulk shipping prices are analyzed.
【學(xué)位授予單位】:中國(guó)海洋大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2012
【分類號(hào)】:F551;F224
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