4 stochastic calculus for finance ii continuous-time models

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Shreve的新书,非常elegant,非常仔细,数学完备,适合数学背景,但是比较厚,对于入门来说还是3好。作者现在CMU纽约。教授。顶尖人物。

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Page 1: 4 Stochastic Calculus for Finance II Continuous-Time Models
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在什么之前
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感知
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二次变分
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偏微分方程
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永久的,永恒的
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反射原理
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非标准产品期权
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无穷序列
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推导
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导出
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几何的
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适合
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portfolio 包括股票和货币,总资产-股票资产=投资于货币市场的资产
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股票利润
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货币市场利润
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几何布朗运动
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潜在的
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翻译成平均保底回报率
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投资于股票的风险溢价
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波动率与股票投资的规模有关
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原理说明
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贴现的
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有两个参数,应该是偏导数
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对股票的贴现价格求导
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t的偏导
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x的一阶偏导
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x的二姐骗到
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二阶的泰勒级数
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几何布朗运动
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把P154页得dX(t)代进去
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就是上面股票价格求全导
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This makes sense that capital invested in stock could be also put into the monetory market
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加上贴现率后它的回报降低了r个百分点因为前有两用
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二叉树定价模型
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