节点文献
实际概率测度下一般风险资产的定价模型
Pricing General Risky Assets under Real Probability Measure
【摘要】 本文利用倒向随机微分方程研究了连续时间下基于可交易证券的风险资产定价模型。解决了如何在实际测度及不知无风险利率的情况下对一般(可能不可交易)资产进行定价的问题。与此同时,得到了远期测度与实际测度之间的关系,此关系不依赖于风险中性测度。
【Abstract】 This paper develops a continuous time model by means of the BSDE methodology,in order to price risky assets in terms of the real probability measure.In following such a pricing approach,the risk-free rate does not need to be known.In addition,the relationship between the forward measure and the real probability measure is established.
【关键词】 风险的市场价格;
无套利;
倒向微分方程;
远期测度;
风险中性测度;
【Key words】 market prices of risk; no arbitrage; backward stochastic differential equation; forward measure; risk neutral measure;
【Key words】 market prices of risk; no arbitrage; backward stochastic differential equation; forward measure; risk neutral measure;
【基金】 国家自然科学基金(10571132)
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2006年06期
- 【分类号】F224
- 【下载频次】294