Principles for modelling financial markets

被引:16
|
作者
Platen, E [1 ]
Rebolledo, R [1 ]
机构
[1] PONTIFICIA UNIV CATOLICA CHILE, FAC MATEMAT, SANTIAGO 22, CHILE
关键词
stochastic differential equations; martingales; arbitrage information;
D O I
10.2307/3215342
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The paper introduces an approach focused towards the modelling of dynamics of financial markets. It is based on the three principles of market clearing, exclusion of instantaneous arbitrage and minimization of increase of arbitrage information. The last principle is equivalent to the minimization of the difference between the risk neutral and the real world probability measures. The application of these principles allows us to identify various market parameters, e.g. the risk-free rate of return. The approach is demonstrated on a simple financial market model, for which the dynamics of a virtual risk-free rate of return can be explicitly computed.
引用
收藏
页码:601 / 613
页数:13
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