In this paper, we build the arbitrage-free term structure model on the inflation rate, and discuss the relations between the arbitrage-free term structure and the equivalent martingale measure. The volatility terms of...In this paper, we build the arbitrage-free term structure model on the inflation rate, and discuss the relations between the arbitrage-free term structure and the equivalent martingale measure. The volatility terms of diffusion processes of the real forward interest rate, the nominal forward interest rate and the inflation index （Jarrow and Yildirim, 2003） are extended into many dimensional Brownian motions. Moreover, as we derive the differential equations of three-factor term structure, our results are generalized. At last, the analytic solutions of European option can be deduced on the inflation rate.展开更多
This paper studies an investment and consumption problem with stochastic interest rate,where interest rate is governed by the Vasicek model.The financial market is composed of one riskfree asset and one risky asset,in...This paper studies an investment and consumption problem with stochastic interest rate,where interest rate is governed by the Vasicek model.The financial market is composed of one riskfree asset and one risky asset,in which stock price dynamics is assumed to be generally correlated with interest rate dynamics.The aim is to maximize expected utility of consumption and terminal wealth in the finite horizon.Legendre transform is used to deal with this investment and consumption problem and the explicit solutions of the optimal investment and consumption strategies with power and logarithm preference are achieved.Finally,the authors add a numerical example to analyze the effect of market parameters on the optimal investment and consumption strategy and provide some economic implications.展开更多
基金This work is supported by National Natural Science Foundation of China （70372011） and the Youth Teacher Foundation of Beijing University of Chemical Technology （QN0521）
文摘In this paper, we build the arbitrage-free term structure model on the inflation rate, and discuss the relations between the arbitrage-free term structure and the equivalent martingale measure. The volatility terms of diffusion processes of the real forward interest rate, the nominal forward interest rate and the inflation index （Jarrow and Yildirim, 2003） are extended into many dimensional Brownian motions. Moreover, as we derive the differential equations of three-factor term structure, our results are generalized. At last, the analytic solutions of European option can be deduced on the inflation rate.
基金supported by the Humanities and Social Science Research Youth Foundation of Ministry of Education of China under Grant No.11YJC790006Center for Research of Regulation and Policy of Zhejiang Province of China under Grant No.13JDGZ03YB+1 种基金the project of National Statistical Science of China under Grant No.2013LY125the Higher School Science and Technology Development Foundation of Tianjin of China under Grant No.20100821
文摘This paper studies an investment and consumption problem with stochastic interest rate,where interest rate is governed by the Vasicek model.The financial market is composed of one riskfree asset and one risky asset,in which stock price dynamics is assumed to be generally correlated with interest rate dynamics.The aim is to maximize expected utility of consumption and terminal wealth in the finite horizon.Legendre transform is used to deal with this investment and consumption problem and the explicit solutions of the optimal investment and consumption strategies with power and logarithm preference are achieved.Finally,the authors add a numerical example to analyze the effect of market parameters on the optimal investment and consumption strategy and provide some economic implications.
