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金融领域的随机建模与基于软件R的Monte Carlo模拟(1):金融期权
引用本文:毛学荣,李晓月.金融领域的随机建模与基于软件R的Monte Carlo模拟(1):金融期权[J].南京气象学院学报,2015,7(1):24-30.
作者姓名:毛学荣  李晓月
作者单位:斯特莱斯克莱德大学 数学系, 格拉斯哥, G1 1XT, 英国;东北师范大学 数学与统计学院, 长春, 130024
基金项目:国家自然科学基金(11171056,11171081)
摘    要:为了让更多人了解期权及其相关金融衍生品,论文系统地介绍了金融数学中一些描述资产行为的经典模型,并从数学与计算机仿真的角度,由浅入深地介绍期权定价的计算方法.首先介绍了欧式期权及其研究的必要性,并给出了相关的金融名词的解释,最后估计了期权价值的上下界.

关 键 词:欧式期权  期权定价  投资组合  上下界
收稿时间:2014/9/13 0:00:00

Stochastic modelling in finance and Monte Carlo simulations with R.Part A: Finance options
MAO Xuerong and LI Xiaoyue.Stochastic modelling in finance and Monte Carlo simulations with R.Part A: Finance options[J].Journal of Nanjing Institute of Meteorology,2015,7(1):24-30.
Authors:MAO Xuerong and LI Xiaoyue
Institution:Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XT, Scotland, UK;School of Mathematics and Statistics, Northeast Normal University, Changchun 130024
Abstract:The aim of this series articles is to help more persons to know options and other financial derivatives.We will introduce several classical models for the behavior of the asset price in the field of financial mathematics systematically,then give the method of computing the option values from the point of mathematics and computer simulations.This paper introduce the definitions of European options and their study necessity,give the interpretation of the relevant financial names and estimate the option bounds.
Keywords:European options  option value  portfolio  upper and lower bounds
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