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4.4
92 reviews本书一开始讨论了欧式和美式衍生产品在离散二叉树模型（即离散时间和离散状态）下套期保值和定价的基本思想的发展，然后介绍了一个一般的离散有限市场模型，并在此场合中证明了资产定价的一些基本定理。概率论中的诸如条件期望、滤波、（超）鞅、等价鞅测度、鞅表示等工具，在这个简单的离散框架下被首次用到。从而搭建了通向连续（时间和状态）场合的桥梁，后者需要布朗运动和随机分析的概念。连续场合中最简单的模型是著名的Black-Scholes模型，欧式和美式衍生产品的定价和套期保值因此有所发展。本书最后介绍了连续市场模型的一些基本定理，这个模型在多个方面推广了简单Black-Scholes模型。
