A Multiperiod Equilibrium Pricing Model. (5th March 2014)

• Record Type: Journal Article
• Authors: Kwak, Minsuk; Pirvu, Traian A.; Zhang, Huayue
• Other Names: Nie Pu-yan Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-03-05
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/408685
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We propose an equilibrium pricing model in a dynamic multiperiod stochastic framework with uncertain income. There are one tradable risky asset (stock/commodity), one nontradable underlying (temperature), and also a contingent claim (weather derivative) written on the tradable risky asset and the nontradable underlying in the market. The price of the contingent claim is priced in equilibrium by optimal strategies of representative agent and market clearing condition. The risk preferences are of exponential type with a stochastic coefficient of risk aversion. Both subgame perfect strategy and naive strategy are considered and the corresponding equilibrium prices are derived. From the numerical result we examine how the equilibrium prices vary in response to changes in model parameters and highlight the importance of our equilibrium pricing principle.