A Binomial Model of Asset and Option Pricing with Heterogeneous Beliefs

A Binomial Model of Asset and Option Pricing with Heterogeneous Beliefs
Author: Xuezhong He
Publisher:
Total Pages: 27
Release: 2016
Genre:
ISBN:

This paper provides a difference-in-opinions equilibrium framework for pricing asset and option in a multi-period binomial economy with heterogeneous beliefs. Agents agree to disagree about their beliefs on the probability and asset return in each state of nature. By constructing a consensus belief, we examine the impact of heterogeneous beliefs on market equilibrium. We show that agents' wealth shares are expected to remain the same under the consensus belief, although they are expected to increase under their own beliefs. Also large disagreement leads to lower risk premium, while high disagreement on the future return in up state (down state) leads to lower (higher) risk-free rate and expected return for the risky asset. Furthermore, under the consensus belief, the implied volatility of the call options exhibits some observed patterns widely documentedin option markets.

A Behavioral Approach to Asset Pricing

A Behavioral Approach to Asset Pricing
Author: Hersh Shefrin
Publisher: Elsevier
Total Pages: 636
Release: 2008-05-19
Genre: Business & Economics
ISBN: 0080482244

Behavioral finance is the study of how psychology affects financial decision making and financial markets. It is increasingly becoming the common way of understanding investor behavior and stock market activity. Incorporating the latest research and theory, Shefrin offers both a strong theory and efficient empirical tools that address derivatives, fixed income securities, mean-variance efficient portfolios, and the market portfolio. The book provides a series of examples to illustrate the theory. The second edition continues the tradition of the first edition by being the one and only book to focus completely on how behavioral finance principles affect asset pricing, now with its theory deepened and enriched by a plethora of research since the first edition

Black Scholes and Beyond: Option Pricing Models

Black Scholes and Beyond: Option Pricing Models
Author: Neil Chriss
Publisher: McGraw Hill Professional
Total Pages: 512
Release: 1997
Genre: Business & Economics
ISBN: 9780786310258

An unprecedented book on option pricing! For the first time, the basics on modern option pricing are explained ``from scratch'' using only minimal mathematics. Market practitioners and students alike will learn how and why the Black-Scholes equation works, and what other new methods have been developed that build on the success of Black-Shcoles. The Cox-Ross-Rubinstein binomial trees are discussed, as well as two recent theories of option pricing: the Derman-Kani theory on implied volatility trees and Mark Rubinstein's implied binomial trees. Black-Scholes and Beyond will not only help the reader gain a solid understanding of the Balck-Scholes formula, but will also bring the reader up to date by detailing current theoretical developments from Wall Street. Furthermore, the author expands upon existing research and adds his own new approaches to modern option pricing theory. Among the topics covered in Black-Scholes and Beyond: detailed discussions of pricing and hedging options; volatility smiles and how to price options ``in the presence of the smile''; complete explanation on pricing barrier options.

On Binomial Asset Pricing Model

On Binomial Asset Pricing Model
Author: Subrata Paul
Publisher: LAP Lambert Academic Publishing
Total Pages: 72
Release: 2010-08
Genre:
ISBN: 9783838383910

Here statistical technique of assigning probabilities to randomly evolved sample paths in coin-toss space is discussed. The intuition carries into continuous time stochastic processes as well. Conditional expectation, one of the key concepts, is discussed and results are produced to make the conceptions clear on how this estimates work. All these results are valid in continuous time math finance area and act as primary tools in this research arena. Martingale, another useful notion, is defined and all related Martingales in binomial asset pricing model are reported as they develop mathematically. The program on conditional expectation given in Chapter III basically helps us to build another useful code on Martingale. A program, given in Chapter-IV and with this Elaborations and discussions are produced to convince what really carrying information through Sigma-algebra in Binomial model means. Chapter-V finally deals with the fact why studying Binomial model is important. A detailed study shows the convergence of Binomial option prices to the celebrated Black-Scholes option prices, where the importance lies.

Dynamic Asset Pricing Theory

Dynamic Asset Pricing Theory
Author: Darrell Duffie
Publisher: Princeton University Press
Total Pages: 488
Release: 2010-01-27
Genre: Business & Economics
ISBN: 1400829208

This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the 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 the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.