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1.
Matthew Lorig 《Mathematical Finance》2014,24(2):331-363
Using tools from spectral analysis, singular and regular perturbation theory, we develop a systematic method for analytically computing the approximate price of a large class of derivative‐assets. The payoff of the derivative‐assets may be path‐dependent. In addition, the process underlying the derivatives may exhibit killing (i.e., jump to default) as well as combined local/nonlocal stochastic volatility. The nonlocal component of volatility may be multiscale, in the sense that it may be driven by one fast‐varying and one slow‐varying factor. The flexibility of our modeling framework is contrasted by the simplicity of our method. We reduce the derivative pricing problem to that of solving a single eigenvalue equation. Once the eigenvalue equation is solved, the approximate price of a derivative can be calculated formulaically. To illustrate our method, we calculate the approximate price of three derivative‐assets: a vanilla option on a defaultable stock, a path‐dependent option on a nondefaultable stock, and a bond in a short‐rate model. 相似文献
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Market impact is the link between the volume of a (large) order and the price move during and after the execution of this order. We show that in a quite general framework, under no‐arbitrage assumption, the market impact function can only be of power‐law type. Furthermore, we prove this implies that the macroscopic price is diffusive with rough volatility, with a one‐to‐one correspondence between the exponent of the impact function and the Hurst parameter of the volatility. Hence, we simply explain the universal rough behavior of the volatility as a consequence of the no‐arbitrage property. From a mathematical viewpoint, our study relies, in particular, on new results about hyper‐rough stochastic Volterra equations. 相似文献
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网络经济下的企业竞合关系的演变 总被引:1,自引:0,他引:1
随着信息技术的快速发展,社会经济转型加速,网络经济已经形成并迅速发展。企业的经济运行环境随之发生了巨大的变化,传统的企业间竞合关系认识以及相关战略已经很难适应网络经济下企业的发展需要。本文在回顾西方经济理论关于合作的理论的基础上,从网络经济的诸多特征出发,依据交易成本理论和博弈论方法分析了网络经济下企业广泛开展合作的动因,并介绍了企业合作的实现形式。 相似文献
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为了快速直接测定蜂蜜中多种矿物元素的含量,采用电感耦合等离子体发射光谱(ICP-AES)法建立了同时测定蜂蜜中钙、钾、镁、钠、锌、铁、铜7种矿物元素含量的方法,考察了方法的标准曲线线性关系、检出限、精密度和准确度,讨论了前处理方法、不同产地以及蜜源植物种类对各元素含量的影响。结果表明:线性相关系数达到0.999 9以上,方法检出限为0.003~0.030 mg/L,相对标准偏差低于2%,回收率为88.66%~105.31%;不同产地的洋槐蜜中,河北洋槐蜜的钙、钾含量明显高于其他地区,广西洋槐蜜的钠、铁含量最高;不同蜜源植物的蜂蜜中,河北枣花蜜的铁含量最高,野生蜜中各种矿物元素都较为丰富。电感耦合等离子体发射光谱法可以快速、同时测定蜂蜜中多种矿物元素含量,方法简便易行,结果准确可靠,可为蜂蜜品质鉴定以及人们对蜂蜜的合理选择提供参考。 相似文献
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This article seeks to provoke that human resource management (HRM), both as an academic field of study and as a form of professional practice, is at risk of impoverishment. The main reasoning for this is because of ideological individualism and marketisation with an attendant neglect on wider organisational, employee, and societal concerns. Following a review of the context of financialised capitalism, three contemporary developments in HRM are used to illustrate the argument: reward strategies, talent management, and high performance work systems. Implications for the practice of HRM and the way the subject area is taught in mainstream business schools are considered. 相似文献
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为了消除在构建谱聚类算法的相似矩阵时,高斯核函数中尺度参数的波动影响,构建了一种自适应相似矩阵,并应用到谱聚类算法中。自适应相似矩阵中数据点间的距离度量采用测地距离算法,相距较近的两点间的距离近似于欧氏距离,相距较远的两点则先根据欧氏距离得到每个数据点的k个近邻点,然后累加近邻点的测地距离,由此得到每对数据点间的最短距离。两点间的局部密度用共享近邻的定义来表示,更好地刻画了数据集的本征结构。在5个人工数据集和国际通用UCI数据库中的5个真实数据集上进行实验。实验结果表明,所提算法的聚类准确率高于对比算法的准确率,对复杂分布数据有很强的自适应能力。研究成果为数据挖掘及机器学习提供了思路和方法。 相似文献
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Lookback options have payoffs dependent on the maximum and/or minimum of the underlying price attained during the options lifetime. Based on the relationship between diffusion maximum and minimum and hitting times and the spectral decomposition of diffusion hitting times, this paper gives an analytical characterization of lookback option prices in terms of spectral expansions. In particular, analytical solutions for lookback options under the constant elasticity of variance (CEV) diffusion are obtained.Received: 1 October 2003, Mathematics Subject Classification:
60J35, 60J60, 60G70JEL Classification:
G13The author thanks Phelim Boyle for bringing the problem of pricing lookback options under the CEV process to his attention and for useful discussions and Viatcheslav Gorovoi for computational assistance. This research was supported by the U.S. National Science Foundation under grants DMI-0200429 and DMS-0223354. 相似文献
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This article examines the dynamic characteristics of the inflation rate in Tunisia over the last two decades, and particularly following the onset of the Arab Spring in 2010 which causes distortions in this country’s monetary policy. We focus on the two specific dimensions of the Tunisian inflation rate: inflation regimes and persistence. We tackle this issue by adopting an evolutionary spectral approach, initially proposed by Priestley and Tong (1973). Our main findings indicate a stable inflation regime in the last 10 years, with an average inflation rate of around 5.5%. It is also found that the Tunisian inflation experienced a high degree of inertia which reflects its gradual responses to shocks. We also discuss the policy implications of these results, which typically require policy-makers to implement sound institutional reforms to reduce inflation. 相似文献