This paper developed a model for pricing catastrophe bond whose trigger is loss index. In the model Esscher transform which is a facility usually used in actuarial science now provides an easy way to calculate Radon-N...This paper developed a model for pricing catastrophe bond whose trigger is loss index. In the model Esscher transform which is a facility usually used in actuarial science now provides an easy way to calculate Radon-Nikodym derivative so that the whole pricing process becomes easier to understand. At the end of this paper we use this model to price a China typhoon catastrophe bond which is also designed by us.展开更多
The aim of this paper is to price power option with its underlying asset price following exponential normal inverse gaussian(NIG)process.We first find the risk neutral equivalent martingale measure Q by Esscher transf...The aim of this paper is to price power option with its underlying asset price following exponential normal inverse gaussian(NIG)process.We first find the risk neutral equivalent martingale measure Q by Esscher transform.Then,using the Fourier transform and its inverse,we derive the analytical pricing formulas of power options which are expressed in the form of Fourier integral.In addition,the fast Fourier transform(FFT)algorithm is applied to calculate these pricing formulas.Finally,Shangzheng 50ETF options are chosen to test our results.Estimating the parameters in NIG process by maximum likelihood method,we show that the NIG prices are much closer to market prices than the Black-Scholes-Merton(BSM)ones.展开更多
文摘This paper developed a model for pricing catastrophe bond whose trigger is loss index. In the model Esscher transform which is a facility usually used in actuarial science now provides an easy way to calculate Radon-Nikodym derivative so that the whole pricing process becomes easier to understand. At the end of this paper we use this model to price a China typhoon catastrophe bond which is also designed by us.
基金Supported by National Natural Science Foundation of China(11571089,11501164)Natural Science Founda-tion of Hebei Province(A2019205299)+1 种基金the Foundation of Hebei Education Department(ZD2018065,ZD2019053)Hebei Normal University(L2019Z01).
文摘The aim of this paper is to price power option with its underlying asset price following exponential normal inverse gaussian(NIG)process.We first find the risk neutral equivalent martingale measure Q by Esscher transform.Then,using the Fourier transform and its inverse,we derive the analytical pricing formulas of power options which are expressed in the form of Fourier integral.In addition,the fast Fourier transform(FFT)algorithm is applied to calculate these pricing formulas.Finally,Shangzheng 50ETF options are chosen to test our results.Estimating the parameters in NIG process by maximum likelihood method,we show that the NIG prices are much closer to market prices than the Black-Scholes-Merton(BSM)ones.
基金supported by a grant from National Social Science Foundation of China(06BTJ004)supported by a NSF grant from National Natural Science Foundation of China(10701035)ChenGuang project of Shanghai Education Development Foundation(2007CG33)
