A Multiperiod Equilibrium Pricing Model

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 no...

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Bibliographic Details
Published in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.431-444-349
Main Authors: Kwak, Minsuk, Pirvu, Traian A., Zhang, Huayue
Format: Article
Language:English
Subjects:
Derivatives
Economic models
Equilibrium
Markets
Mathematical models
Preferences
Pricing
Random variables
Risk
Risk aversion
Securities prices
Stochasticity
Strategy
Weather
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Summary: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/408685