Towards a General Theory of Good Deal Bounds
34 Pages Posted: 27 Feb 2005
Date Written: February 3, 2005
We consider an incomplete market in the form of a multidimensional Markovian factor model, driven by a general marked point process (representing discrete jump events) as well as by a standard multidimensional Wiener process. Within this framework we study arbitrage free good deal pricing bounds for derivative assets along the lines of Cochrane and Saa-Requejo (2000), extending the results from their paper to the point process case.
As a concrete application we present numerical results for the classic Merton jump-diffusion model. As a by product of the general theory we also extend the Hansen-Jagannathan bounds for the Sharpe Ratio to the point process setting.
Keywords: Incomplete markets, good deal bounds, derivatives pricing
JEL Classification: G12, G13
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