Book Chapter

Equilibrium Pricing of Derivative Securities in Dynamically Incomplete Markets

Robert M Anderson, Roberto C Raimondo

SPRINGER-VERLAG BERLIN | Published : 2006

Abstract

We develop a method of assigning unique prices to derivative securities, including options, in the continuous-time finance model developed in Raimondo [47]. In contrast with the martingale method of valuing options, which cannot distinguish among infinitely many possible option pricing processes for a given underlying securities price process when markets are dynamically incomplete, our option prices are uniquely determined in equilibrium in closed form as a function of the underlying economic data.

University of Melbourne Researchers

Grants

Awarded by U.S. National Science Foundation


Awarded by Australian Research Council


Funding Acknowledgements

This paper is dedicated to the memory of Birgit Grodal, whose strength and character we greatly admired. We are very grateful to Theo Diasakos, Darrell Duffie, Steve Evans, Botond Koszegi, Roger Purves, Jacob Sagi, Chris Shannon, Bill Zame and an anony- mous refereee for very helpful discussions and comments. The work of both authors was supported by U.S. National Science Foundation Grant SES-9710424, Andersons work was also supported by U.S. National Science Foundation Grant SES-0214164, while Rai- mondos work was also supported by Australian Research Council grant DP0558187. An- derson is also grateful for the gracious hospitality of the Economic Theory Center at the University of Melbourne. Some of these results appeared previously in Anderson and Rai-mondo (2005).