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Methods of Mathematical Finance

TLDR
A Brownian Motion of financial markets is used in this paper to describe the relationship between single-agent consumption and investment in a complete market and equilibrium in complete markets, where the single agent consumption is constrained by a Brownian motion.
Abstract
A Brownian Motion of Financial Markets.- Contingent Claim Valuation in a Complete Market.- Single-Agent Consumption and Investment.- Equilibrium in a Complete Market.- Contingent Claims in Incomplete Markets.- Constrained Consumption and Investment.

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