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有限差分方法在股票期权定价中的应用
Application of Finite Difference Methods in the Stock Option Pricing
【摘要】 针对不付红利的美式看跌期权,利用有限差分法对股票期权价格所满足的Black-Scholes微分方程进行了数值模拟。通过数值例子对隐式差分格式和显式差分格式的所有缺点加以比较,并通过细网格的剖分得到更精确的解,取得一些实际期权交易中有用的结果。
【Abstract】 Usingfinite difference methods to simulate the Black-Scholes pricing model is based on non-dividend paying American put option, and get itsnumerical solution. Through numerical example, a comparisonbetween implicit finite difference methodsand explicit finite difference methodis presented. By refinement grid the more exact solution is got, and given some useful conclusionin options trading.
【关键词】 期权定价;
美式看跌期权;
有限差分;
Black-Scholes微分方程;
【Key words】 option pricing American put option finite different method Black-Scholes equation;
【Key words】 option pricing American put option finite different method Black-Scholes equation;
【基金】 上海高校选拔培养优秀青年教师科研专项基金(LX306003)资助
- 【文献出处】 科学技术与工程 ,Science Technology and Engineering , 编辑部邮箱 ,2007年19期
- 【分类号】F830.91;F224
- 【被引频次】6
- 【下载频次】358