This is a textbook for postgraduate students and researchers on the theory of asset pricing and portfolio selection in multi-period settings under uncertainty. The asset pricing results are based on three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality and equilibrium. These results are unified with two key concepts, state-prices and martingales. Technicalities are given relatively little emphasis so as to draw connections between these concepts and to make plain that the similarities between discrete and continuous-time models are based on Brownian motion. Examples include the Black-Scholes option pricing model, Lucas' single-agent Markov asset pricing model, Merton's problem of optimal portfolio and consumption choice in a continuous-time setting, the Harrison-Kreps theory of equivalent martingale measures, Breeden's consumption-based capital asset pricing model, and the term structure model of Cox, Ingersoll and Ross. Numerical solution techniques include "binomial" methods, Monte Carlo simulation and finite-difference methods for solving partial differential equations. Each chapter provides extensive problem exercises and notes to the literature.
"synopsis" may belong to another edition of this title.
"This is an important addition to the set of text/reference books on asset pricing theory. It will, if it has not already, become the standard text for the second Ph.D. course in security markets. Its treatment of contigent claim valuation, in particular, is unrivaled in its breadth and coherence."--Journal of Economic Literature
This is a textbook for postgraduate students and researchers on the theory of asset pricing and portfolio selection in multi-period settings under uncertainty. The asset pricing results are based on three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality and equilibrium. These results are unified with two key concepts, state-prices and martingales. Technicalities are given relatively little emphasis so as to draw connections between these concepts and to make plain that the similarities between discrete and continuous-time models are based on Brownian motion. Examples include the Black-Scholes option pricing model, Lucas' single-agent Markov asset pricing model, Merton's problem of optimal portfolio and consumption choice in a continuous-time setting, the Harrison-Kreps theory of equivalent martingale measures, Breeden's consumption-based capital asset pricing model, and the term structure model of Cox, Ingersoll and Ross. Numerical solution techniques include "binomial" methods, Monte Carlo simulation and finite-difference methods for solving partial differential equations.
Each chapter provides extensive problem exercises and notes to the literature."About this title" may belong to another edition of this title.
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