译文(字数 4647):
来源:Andreas P. Nawroth, Joachim Peinke 物理研究所,Carl-von-Ossietzk 奥尔登堡大学,
D - 26111 奥尔登伯格,德国
银行的金融数据分析
摘要
财务数据随机分析已经被提出,特别是我们探讨如何统计在不同时间 τ 记录返回的变化。财务数据的时间规模依赖行为可分为两个区域:第一个时间范围是被描述为普遍特征的小时间区域(范围秒)。第二个时间范围是增加了几分钟的可以被描述为随机马尔可夫规模的级联过程的中期时间范围。相应的 Fokker - Planck 方程可以从特定的数据提取,并提供了一个非平衡热力学描述的复杂的财务数据。
关键词:银行;金融市场;随机过程;Fokker - Planck 方程
银行需要对储户的存款帐户支付部分利息。他们通过对这些基金的借款,接受的贷款利息。他们的利润都来源于他们之间的资金利率和借款利率。这可以从许多不同的借款借给许多来源的能力,集中存款创造了资金在银行体系固有流量。通过管理这种资金流动,银行产生利润,充当了中间人支付的利息和利息接收和向客户提供以信贷风险
外文原文(字符数 14823):
Banks analysis of financial data
Abstract
A stochastic analysis of financial data is presented. In particular we investigate how the statistics of log returns change with different time delays t. The scale- dependent behaviour of financial data can be divided into two regions. The first time range, the small-timescale region (in the range of seconds) seems to be characterised by universal features. The second time range, the medium-timescale range from several minutes upwards can be characterised by a cascade process, which is given by a stochastic Markov process in the scale τ. A corresponding Fokker–Planck equation can be extracted from given data and provides a non- equilibrium thermodynamical description of the complexity of financial data.
Keywords: Banks; Financial markets; Stochastic processes; Fokker–Planck equation