Abstract
This chapter is concerned with the existence of consistent price systems on the space of contingent claims within the framework of a partial equilibrium model. A two-date economy with uncertainty is considered in Section 3.1, and the decision problem of an agent concerning his present consumption and state contingent future consumption by means of a trading strategy in securities is stated. Section 3.2 introduces the basic “no-arbitrage” assumption and gives necessary and sufficient conditions for the existence of a price system on the space of contingent claims that is consistent with the price process of the given securities. A consistent price system can be described by means of an equivalent martingale measure. This section closely follows the reasoning of HARRISON/ KREPS (1979). Section 3.3 gives models that possess at least one equivalent martingale measure.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
