The Journal of Finance publishes leading research across all the major fields of finance. It is one of the most widely cited journals in academic finance, and in all of economics. Each of the six issues per year reaches over 8,000 academics, finance professionals, libraries, and government and financial institutions around the world. The journal is the official publication of The American Finance Association, the premier academic organization devoted to the study and promotion of knowledge about financial economics.
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Incomplete‐Market Equilibria Solved Recursively on an Event Tree
Published: 09/12/2012 | DOI: 10.1111/j.1540-6261.2012.01775.x
BERNARD DUMAS, ANDREW LYASOFF
Because of non‐traded human capital, real‐world financial markets are massively incomplete, while the modeling of imperfect, dynamic financial markets remains a wide‐open and difficult field. Some 30 years after Cox, Ross, and Rubinstein (1979) taught us how to calculate the prices of derivative securities on an event tree by simple backward induction, we show how a similar formulation can be used in computing heterogeneous‐agents incomplete‐market equilibrium prices of primitive securities. Extant methods work forward and backward, requiring a guess of the way investors forecast the future. In our method, the future is part of the current solution of each backward time step.