摘要翻译:
最近,人们提出了一种新的金融期权定价的自适应波动模型,其形式为自适应非线性Schr{o}dinger(NLS)方程[Ivancevic a],作为线性Black-Scholes-Merton模型[Black-Scholes-Merton]的高复杂度替代。它的量子力学基础已在[IvancevicB]中阐述。非线性模型的孤立解和激波解及其线性(周期)量子化简都成功地拟合了Black-Scholes数据,并定义了金融希腊语。在[Yan]中,这个初始波模型(称为Ivancevic期权定价模型)得到了进一步的扩展,给出了新的rogue波形式的NLS解(单Rogon解和双Rogon解)。在这封信中,我提出了一个新的金融研究方案,目标是开发一个用于现实期权定价预测和控制的通用波浪型模型。关键词:通用期权-价格波动模型,新金融研究程序
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英文标题:
《New Financial Research Program: General Option-Price Wave Modeling》
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作者:
Vladimir G. Ivancevic
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最新提交年份:
2010
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:Pricing of Securities 证券定价
分类描述:Valuation and hedging of financial securities, their derivatives, and structured products
金融证券及其衍生产品和结构化产品的估值和套期保值
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一级分类:Quantitative Finance 数量金融学
二级分类:Computational Finance 计算金融学
分类描述:Computational methods, including Monte Carlo, PDE, lattice and other numerical methods with applications to financial modeling
计算方法,包括蒙特卡罗,偏微分方程,格子和其他数值方法,并应用于金融建模
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英文摘要:
Recently, a novel adaptive wave model for financial option pricing has been proposed in the form of adaptive nonlinear Schr\"{o}dinger (NLS) equation [Ivancevic a], as a high-complexity alternative to the linear Black-Scholes-Merton model [Black-Scholes-Merton]. Its quantum-mechanical basis has been elaborated in [Ivancevic b]. Both the solitary and shock-wave solutions of the nonlinear model, as well as its linear (periodic) quantum simplification are shown to successfully fit the Black-Scholes data, and define the financial Greeks. This initial wave model (called the Ivancevic option pricing model) has been further extended in [Yan], by providing the new NLS solutions in the form of rogue waves (one-rogon and two-rogon solutions). In this letter, I propose a new financial research program, with a goal to develop a general wave-type model for realistic option-pricing prediction and control. Keywords: General option-price wave modeling, new financial research program
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PDF链接:
https://arxiv.org/pdf/1001.4151


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