The tree model is a practical method for pricing vanilla European and American options and the most popular one is binomial model. As an extending of binomial model and based on the risk-neutral probability, trinomial model is also used to price vanilla options. It can be implemented in MATLAB as well. Compared with the outcomes of binomial model, the pricing outcomes of trinomial model converge better to B-S-M analytic solution. Besides, sensitivity analysis can be conducted to test the influential factors of option price by using trinomial model and demonstrate the reasonability of this model.%树方法是给经典期权进行定价的非常实用的数值方法,目前最流行的是二叉树模型。三叉树定价模型作为二叉树的一个扩展,其同样是在风险中性概率的基础上给经典期权进行定价,并且可以通过MATLAB实现。相比于二叉树而言,三叉树模型的定价结果具有更好的收敛性。除此之外,用三叉树模型对影响期权价格的一些因素进行敏感性分析,可以验证该模型的合理性。
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