A General Framework for the Derivation of Asset Price Bounds

A General Framework for the Derivation of Asset Price Bounds
Author: Oleg Bondarenko
Publisher:
Total Pages: 29
Release: 2015
Genre:
ISBN:

We present a generalization of Cochrane and Saá-Requejo's good-deal bounds which allows to include in a flexible way the implications of a given stochastic discount factor model. Furthermore, a useful application to stochastic volatility models of option pricing is provided where closed-form solutions for the bounds are obtained. A calibration exercise demonstrates that our benchmark good-deal pricing results in much tighter bounds. Finally, a discussion of methodological and economic issues is also provided.

Beyond Arbitrage

Beyond Arbitrage
Author: John Howland Cochrane
Publisher:
Total Pages: 84
Release: 1996
Genre: Arbitrage
ISBN:

It is often useful to price assets and other random payoffs by reference to other observed prices rather than construct full-fledged economic asset pricing models. This approach breaks down if one cannot find a perfect replicating portfolio. We impose weak economic restrictions to derive usefully tight bounds on asset prices in this situation. The bounds basically rule out high Sharpe ratios - `good deals' - as well as arbitrage opportunities. We present the method of calculation, we extend it to a multiperiod context by finding a recursive solution, and we apply it to option pricing examples including the Black-Scholes setup with infrequent trading, and a model with stochastic stock volatility and a varying riskfree rate.

Advanced Asset Pricing Theory

Advanced Asset Pricing Theory
Author: Chenghu Ma
Publisher: World Scientific Publishing Company
Total Pages: 818
Release: 2011-01-03
Genre: Business & Economics
ISBN: 1911299522

This book provides a broad introduction of modern asset pricing theory with equal treatments for both discrete-time and continuous-time modeling. Both the no-arbitrage and the general equilibrium approaches of asset pricing theory are treated coherently within the general equilibrium framework.The analyses and coverage are up to date, comprehensive and in-depth. Topics include microeconomic foundation of asset pricing theory, the no-arbitrage principle and fundamental theorem, risk measurement and risk management, sequential portfolio choice, equity premium decomposition, option pricing, bond pricing and term structure of interest rates. The merits and limitations are expounded with respect to allocation and information market efficiency, along with the classical expectations hypothesis concerning the information content of yield curve and bond prices. Efforts are also made towards the resolution of several well-documented puzzles in empirical finance, which include the equity premium puzzle, the risk free rate puzzle, and the money-ness bias phenomenon of Black-Scholes option pricing model.The theory is self-contained and unified in presentation. The inclusion of proofs and derivations to enhance the transparency of the underlying arguments and conditions for the validity of the economic theory makes an ideal advanced textbook or reference book for graduate students specializing in financial economics and quantitative finance. The explanations are detailed enough to capture the interest of those curious readers, and complete enough to provide necessary background material needed to explore further the subject and research literature.

Asset Pricing

Asset Pricing
Author: T. Kariya
Publisher: Springer Science & Business Media
Total Pages: 273
Release: 2011-06-27
Genre: Business & Economics
ISBN: 1441992308

1. Main Goals The theory of asset pricing has grown markedly more sophisticated in the last two decades, with the application of powerful mathematical tools such as probability theory, stochastic processes and numerical analysis. The main goal of this book is to provide a systematic exposition, with practical appli cations, of the no-arbitrage theory for asset pricing in financial engineering in the framework of a discrete time approach. The book should also serve well as a textbook on financial asset pricing. It should be accessible to a broad audi ence, in particular to practitioners in financial and related industries, as well as to students in MBA or graduate/advanced undergraduate programs in finance, financial engineering, financial econometrics, or financial information science. The no-arbitrage asset pricing theory is based on the simple and well ac cepted principle that financial asset prices are instantly adjusted at each mo ment in time in order not to allow an arbitrage opportunity. Here an arbitrage opportunity is an opportunity to have a portfolio of value aat an initial time lead to a positive terminal value with probability 1 (equivalently, at no risk), with money neither added nor subtracted from the portfolio in rebalancing dur ing the investment period. It is necessary for a portfolio of valueato include a short-sell position as well as a long-buy position of some assets.

A New Approach to the Derivation of Asset Price Bounds

A New Approach to the Derivation of Asset Price Bounds
Author:
Publisher:
Total Pages:
Release:
Genre:
ISBN:

The Stockholm School of Economics presents the full text of the May 21, 2001 working paper entitled "A New Approach to the Derivation of Asset Price Bounds," written by Inaki R. Longarela. The text is available in PDF format. This paper offers a methodology to deal with the derivation of asset price bounds. The method can be understood in terms of pricing discrepancies in the realm of all contingent claims.

Asset Pricing

Asset Pricing
Author: John H. Cochrane
Publisher: Princeton University Press
Total Pages: 560
Release: 2009-04-11
Genre: Business & Economics
ISBN: 1400829135

Winner of the prestigious Paul A. Samuelson Award for scholarly writing on lifelong financial security, John Cochrane's Asset Pricing now appears in a revised edition that unifies and brings the science of asset pricing up to date for advanced students and professionals. Cochrane traces the pricing of all assets back to a single idea--price equals expected discounted payoff--that captures the macro-economic risks underlying each security's value. By using a single, stochastic discount factor rather than a separate set of tricks for each asset class, Cochrane builds a unified account of modern asset pricing. He presents applications to stocks, bonds, and options. Each model--consumption based, CAPM, multifactor, term structure, and option pricing--is derived as a different specification of the discounted factor. The discount factor framework also leads to a state-space geometry for mean-variance frontiers and asset pricing models. It puts payoffs in different states of nature on the axes rather than mean and variance of return, leading to a new and conveniently linear geometrical representation of asset pricing ideas. Cochrane approaches empirical work with the Generalized Method of Moments, which studies sample average prices and discounted payoffs to determine whether price does equal expected discounted payoff. He translates between the discount factor, GMM, and state-space language and the beta, mean-variance, and regression language common in empirical work and earlier theory. The book also includes a review of recent empirical work on return predictability, value and other puzzles in the cross section, and equity premium puzzles and their resolution. Written to be a summary for academics and professionals as well as a textbook, this book condenses and advances recent scholarship in financial economics.

Dynamic Asset Allocation with Forwards and Futures

Dynamic Asset Allocation with Forwards and Futures
Author: Abraham Lioui
Publisher: Springer Science & Business Media
Total Pages: 268
Release: 2005-12-06
Genre: Business & Economics
ISBN: 038724106X

This book is an advanced text on the theory of forward and futures markets which aims at providing readers with a comprehensive knowledge of how prices are established and evolve in time, what optimal strategies one can expect the participants to follow, whether they pertain to arbitrage, speculation or hedging, what characterizes such markets and what major theoretical and practical differences distinguish futures from forward contracts. It should be of interest to students (MBAs majoring in finance with quantitative skills and PhDs in finance and financial economics), academics (both theoreticians and empiricists), practitioners, and regulators. Standard textbooks dealing with forward and futures markets generally focus on the description of the contracts, institutional details, and the effective (as opposed to theoretically optimal) use of these instruments by practitioners. The theoretical analysis is often reduced to the (undoubtedly important) cash-and-carry relationship and the computation of the simple, static, minimum variance hedge ratio. This book proposes an alternative approach of these markets from the perspective of dynamic asset allocation and asset pricing theory within an inter-temporal framework that is in line with what has been done many years ago for options markets.

Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes)

Handbook Of Financial Econometrics, Mathematics, Statistics, And Machine Learning (In 4 Volumes)
Author: Cheng Few Lee
Publisher: World Scientific
Total Pages: 5053
Release: 2020-07-30
Genre: Business & Economics
ISBN: 9811202400

This four-volume handbook covers important concepts and tools used in the fields of financial econometrics, mathematics, statistics, and machine learning. Econometric methods have been applied in asset pricing, corporate finance, international finance, options and futures, risk management, and in stress testing for financial institutions. This handbook discusses a variety of econometric methods, including single equation multiple regression, simultaneous equation regression, and panel data analysis, among others. It also covers statistical distributions, such as the binomial and log normal distributions, in light of their applications to portfolio theory and asset management in addition to their use in research regarding options and futures contracts.In both theory and methodology, we need to rely upon mathematics, which includes linear algebra, geometry, differential equations, Stochastic differential equation (Ito calculus), optimization, constrained optimization, and others. These forms of mathematics have been used to derive capital market line, security market line (capital asset pricing model), option pricing model, portfolio analysis, and others.In recent times, an increased importance has been given to computer technology in financial research. Different computer languages and programming techniques are important tools for empirical research in finance. Hence, simulation, machine learning, big data, and financial payments are explored in this handbook.Led by Distinguished Professor Cheng Few Lee from Rutgers University, this multi-volume work integrates theoretical, methodological, and practical issues based on his years of academic and industry experience.

Beyond Arbitrage

Beyond Arbitrage
Author: John H. Cochrane
Publisher:
Total Pages: 63
Release: 2009
Genre:
ISBN:

One often wants to value a given asset or risky payoff by reference to observed prices of other assets rather than by exploiting full-fledged economic models. However, this approach breaks down if one cannot find a perfect replicating portfolio. We impose weak economic restrictions to derive usefully tight bounds on asset prices in this situation. The bounds basically rule out high Sharpe ratios - quot;good dealsquot; - as well as arbitrage opportunities. We show how to calculate the price bounds in two-period, multiperiod and continuous time contexts. We show that the multiperiod problem can be solved recursively as a sequence of two-period problems. We calculate bounds in option pricing examples including infrequent trading, an option written on a nontraded event, and in an environment with stochastic stock volatility and a varying riskfree rate.

The Fiscal Theory of the Price Level

The Fiscal Theory of the Price Level
Author: John H. Cochrane
Publisher: Princeton University Press
Total Pages: 585
Release: 2023-01-17
Genre: Business & Economics
ISBN: 0691243247

A comprehensive account of how government deficits and debt drive inflation Where do inflation and deflation ultimately come from? The fiscal theory of the price level offers a simple answer: Prices adjust so that the real value of government debt equals the present value of taxes less spending. Inflation breaks out when people don’t expect the government to fully repay its debts. The fiscal theory is well suited to today’s economy: Financial innovation undermines money demand, and central banks don’t control the money supply or aggressively change interest rates, invalidating classic theories, while large debts and deficits threaten inflation and constrain monetary policy. This book presents a comprehensive account of this important theory from one of its leading developers and advocates. John Cochrane aims to make fiscal theory useful as a conceptual framework and modeling tool, and for analyzing history and policy. He merges fiscal theory with standard models in which central banks set interest rates, giving a novel account of monetary policy. He generalizes the theory to explain data and make realistic predictions. For example, inflation decreases in recessions despite deficits because discount rates fall, raising the value of debt; specifying that governments promise to partially repay debt avoids classic puzzles and allows the theory to apply at all times, not just during periods of high inflation. Cochrane offers an extensive rethinking of monetary doctrines and institutions through the eyes of fiscal theory, and analyzes the era of zero interest rates and post-pandemic inflation. Filled with research by Cochrane and others, The Fiscal Theory of the Price Level offers important new insights about fiscal and monetary policy.