通过对股票价格变动的二项式模型的分析，以鞅理论为基础，讨论与轨道相关的期权的定价方法。
This paper analyzes the binomial model of stock price movement, and on the basis of martingale theory discusses the pricing of path dependent options.
综述了新兴的量子金融理论在期权定价上的应用，包括量子力学路径积分方法和虚拟套利动态测量理论，以及二项式期权定价的量子模型。
This paper summarizes the study on options pricing in view of quantum finance, such as the path integrals approach, the gauge theory of arbitrage, and the quantum model of binomial option pricing.
综述了新兴的量子金融理论在期权定价上的应用，包括量子力学路径积分方法和虚拟套利动态测量理论， 以及二项式期权定价的量子模型。
The paper expounds the application of real option in the financing decision of startup firms in uncertainty on the theoretical basis of riskneutral pricing approach and binomial model.
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