目前金融界尚未有一个公认的能够准确解释真实股价行为的证券定价模型.文中在传统随机波动价格模型的基础上,考虑其所忽略的“现实金融市场中,大事件发生比较频繁”这一事实,同时引入证券投资者与证券价格之间的交互作用,提出了一种新的证券定价模型——带跳及反馈的随机波动模型.理论分析、数值仿真和实际应用结果都表明,与传统证券定价模型相比,新模型可更好地模拟现实的证券价格行为,具有蓣测精度高、速度快等优点.
Until now there exists no universally accepted security pricing model that can exactly describe the behaviors of real stock prices. In this paper, a new security pricing model-stochastic-volatility pricing model with jump and feedback-is proposed by considering the fact neglected by the traditional pricing models that important events frequently happen in the financial market. The interaction between investors and security prices is also taken into account. Theoretical analyses, numerical simulations and practical applications all indicate that the proposed model can simulate the complex behaviors of real security prices better than the traditional models and has the merits of high precision and efficiency in prediction.