Option pricing formulas in a new uncertain stock model with floating interest rate

Option pricing plays an important role in modern finance. Interest rate is an important economic indicator and always influenced by some uncertain factors. It is necessary to consider the floating interest rate when we explore the option pricing. This paper introduces a new uncertain stock model with floating interest rate. In this new stock model, the pricing formulas for European, American and Asian options are derived. Furthermore, some numerical examples are given.

[1]  Baoding Liu,et al.  Uncertainty Theory - A Branch of Mathematics for Modeling Human Uncertainty , 2011, Studies in Computational Intelligence.

[2]  Yuhan Liu,et al.  Expected Value of Function of Uncertain Variables , 2010 .

[3]  Xiaowei Chen,et al.  A numerical method for solving uncertain differential equations , 2013, J. Intell. Fuzzy Syst..

[4]  Han Liu,et al.  Rule-based systems: a granular computing perspective , 2016, Granular Computing.

[5]  Witold Pedrycz,et al.  The development of granular rule-based systems: a study in structural model compression , 2017, GRC 2017.

[6]  Kai Yao,et al.  Interest rate model in uncertain environment based on exponential Ornstein–Uhlenbeck equation , 2016, Soft Computing.

[7]  Baoding Liu Uncertainty distribution and independence of uncertain processes , 2014, Fuzzy Optim. Decis. Mak..

[8]  Zhiqiang Zhang,et al.  Valuation of power option for uncertain financial market , 2016, Appl. Math. Comput..

[9]  Xiaowei Chen American Option Pricing Formula for Uncertain Financial Market , 2010 .

[10]  Zhiyong Huang,et al.  Option pricing formulas for uncertain financial market based on the exponential Ornstein–Uhlenbeck model , 2014, Journal of Intelligent Manufacturing.

[11]  Andrzej Skowron,et al.  Interactive granular computing , 2016 .

[12]  Kai Yao,et al.  Extreme values and integral of solution of uncertain differential equation , 2013 .

[13]  Kai Yao,et al.  A New Option Pricing Model for Stocks in Uncertainty Markets , 2011 .

[14]  Fernando Gomide,et al.  Evolving granular analytics for interval time series forecasting , 2016, Granular Computing.

[15]  Baoding Liu Some Research Problems in Uncertainty Theory , 2009 .

[16]  Kai Yao,et al.  Uncertain contour process and its application in stock model with floating interest rate , 2015, Fuzzy Optim. Decis. Mak..

[17]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[18]  Xiaoyu Ji,et al.  Option pricing for an uncertain stock model with jumps , 2015, Soft Comput..

[19]  Zhiqiang Zhang,et al.  Geometric Average Asian Option Pricing for Uncertain Financial Market , 2014 .

[20]  Kai Yao No-arbitrage determinant theorems on mean-reverting stock model in uncertain market , 2012, Knowl. Based Syst..

[21]  Baoding Liu Toward uncertain finance theory , 2013 .

[22]  D. Ciucci Orthopairs and granular computing , 2016 .

[23]  Baoding Liu,et al.  Uncertainty Theory - A Branch of Mathematics for Modeling Human Uncertainty , 2011, Studies in Computational Intelligence.

[24]  Guijun Wang,et al.  Approximation performance of the nonlinear hybrid fuzzy system based on variable universe , 2017, GRC 2017.

[25]  Kai Yao,et al.  A no-arbitrage theorem for uncertain stock model , 2015, Fuzzy Optim. Decis. Mak..

[26]  Xiaowei Chen,et al.  Asian Option Pricing Formula for Uncertain Financial Market , 2015 .

[27]  Yuhan Liu,et al.  Uncertain stock model with periodic dividends , 2013, Fuzzy Optim. Decis. Mak..