论文部分内容阅读
数理金融学作为一门边缘学科,应用大量的数学理论和方法研究、解决金融中一些重大理论问题、实际应用问题和一些金融创新的定价问题等。由于金融问题的复杂性,所用到的数学知识,除基础知识外,还有大量的现代数学理论和方法。在本文中,我们将交易量引入股票价格的波动模型中,应用Poisson过程理论描述股票价格的波动性,并根据期权定价理论,推导出欧式买入期权的定价公式。在金融投资过程中,投资者通常把回避风险和控制风险放在首位,因此我们进一步给出了风险回避市场中欧式买入期权的价格范围,以便给投资者更加具体的参考。
As a frontier subject, mathematical finance studies a large number of mathematical theories and methods to solve some major theoretical problems in finance, practical application problems and pricing problems of some financial innovations. Due to the complexity of financial problems, the mathematical knowledge used in addition to the basic knowledge, there are a large number of modern mathematical theory and methods. In this paper, we introduce the trading volume into the stock price volatility model. We use Poisson process theory to describe the volatility of the stock price. According to the option pricing theory, we derive the pricing formula of the European call option. In the process of financial investment, investors usually put the risk avoidance and control risks in the first place. Therefore, we further give the price avoidance range of the European call options in the market so as to give investors more specific reference.