By applying the variational inequality technique, we analyzed the behavior of the exercise boundary of the American-style interest rate option under the assumption that the interest rates obey a mean-reverting random ...By applying the variational inequality technique, we analyzed the behavior of the exercise boundary of the American-style interest rate option under the assumption that the interest rates obey a mean-reverting random walk as given by the Vasicek model. The monotonicity, boundedness and C^∞-smoothness of the exercise boundary are proved in this paper.展开更多
A barrier option valuation model with stochastic barrier which was regarded as the main feature of the model was developed under the Hull-White interest rate model.The purpose of this study was to deal with the stocha...A barrier option valuation model with stochastic barrier which was regarded as the main feature of the model was developed under the Hull-White interest rate model.The purpose of this study was to deal with the stochastic barrier by means of partial differential equation methods and then derive the exact analytical solutions of the barrier options.Furthermore,a numerical example was given to show how to apply this model to pricing one structured product in realistic market.Therefore,this model can provide new insight for future research on structured products involving barrier options.展开更多
Since mining rights of coal resources(for short MRCR) could be regarded as a multi-stage compound real option,the evaluation for MRCR can be better solved using op- tion theory than the NPV.In the former research,we d...Since mining rights of coal resources(for short MRCR) could be regarded as a multi-stage compound real option,the evaluation for MRCR can be better solved using op- tion theory than the NPV.In the former research,we developed a two-factor model of evaluating MRCR when the coal spot price and convenience yield are stochastic based on option theory.On the basis of this two-factor model,we set up a three-factor model of evaluating MRCR when the interest rate followed a stochastic process.Through a real example application,we found the model can get higher values than the two-factor model and the NPV.This is because considering the volatility of interest rate can improve the executive opportunity of MRCR.展开更多
基金the National Natural Science Foundation of China(Nos.10371045 and 10671075)the Natural Science Foundation of Guangdong Province(No.5005930)the Special Doctoral Program Foundation for Institution of Higher Education(No.20060574002)
文摘By applying the variational inequality technique, we analyzed the behavior of the exercise boundary of the American-style interest rate option under the assumption that the interest rates obey a mean-reverting random walk as given by the Vasicek model. The monotonicity, boundedness and C^∞-smoothness of the exercise boundary are proved in this paper.
基金National Natural Science Foundations of China(Nos.11471175,11171221)
文摘A barrier option valuation model with stochastic barrier which was regarded as the main feature of the model was developed under the Hull-White interest rate model.The purpose of this study was to deal with the stochastic barrier by means of partial differential equation methods and then derive the exact analytical solutions of the barrier options.Furthermore,a numerical example was given to show how to apply this model to pricing one structured product in realistic market.Therefore,this model can provide new insight for future research on structured products involving barrier options.
文摘Since mining rights of coal resources(for short MRCR) could be regarded as a multi-stage compound real option,the evaluation for MRCR can be better solved using op- tion theory than the NPV.In the former research,we developed a two-factor model of evaluating MRCR when the coal spot price and convenience yield are stochastic based on option theory.On the basis of this two-factor model,we set up a three-factor model of evaluating MRCR when the interest rate followed a stochastic process.Through a real example application,we found the model can get higher values than the two-factor model and the NPV.This is because considering the volatility of interest rate can improve the executive opportunity of MRCR.
基金This work was supported by the National Natural Science Foundation of China （Grant Nos. 11501211, 11571113, 11231005）, the Program of Shanghai Subject Chief Scientist （14XD1401600）, the 111 Project （B14019）, the Shanghai Pujiang Program （15PJC026）, the Shanghai Philosophy Social Science Planning Office Project （2015EJB002）, the China Postdoctoral Science Foundation （2015M581564）, and the Shanghai Chenguang Plan （15CG22）.
