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This text is a collection of 25 papers on the development of continuous time finance. The five sections cover the continuous time model, dynamic portfolio selection, equilibrium models, derivative pricing, and term strucure and other applications. The book includes contributions in areas such as: the Martingale approach to non-arbitage pricing; dynamic models of consumption and portfolio selection; the inter-temporal and consumption based asset princing models; and contingent claims pricing and the Modigliana-Miller theorem.