On Stochastic Dominance Optionbounds In Discrete And Continuous Space And Time With Stochastic And Deterministic Volatility And Pricing With Constant Relative Risk Aversion
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Author | : Eli Rose |
Publisher | : |
Total Pages | : 103 |
Release | : 2020 |
Genre | : Business mathematics |
ISBN | : |
This thesis makes original contributions to the field of asset pricing, which is a field dedicated to describing the prices of financial instruments and their characteristics. The prices of these financial instruments are determined by the behavior of investors who buy and sell them, and so asset pricing is ultimately done by modeling the behavior of investors. One method for achieving this is through the framework of stochastic dominance. This thesis specifically deals with a specific class of financial instruments called European options and reviews the literature on stochastic dominance option pricing and discusses new methods for finding stochastic dominance bounds on options in both discrete and continuous time under both deterministic and stochastic volatility. The results presented here extends the works of Ritchken and Kuo (1988) and Perrakis and Ryan (1984). Furthermore, stochastic dominance bounds for Heston's (1993) stochastic volatility model are obtained under certain assumptions. Finally, this thesis extends the work of Carr and Madan (1999) and solves for the characteristic function of the call price given the physical characteristic function under the CRRA utility model.
Author | : Ioan Mihai Oancea |
Publisher | : |
Total Pages | : 48 |
Release | : 2007 |
Genre | : |
ISBN | : |
This paper examines option pricing in a universe in which it is assumed that markets are incomplete. It derives multiperiod discrete time option bounds based on stochastic dominance considerations for a risk-averse investor holding only the underlying asset, the riskless asset and (possibly) the option for any type of underlying asset distribution, discrete or continuous. It then considers the limit behavior of these bounds for special categories of such distributions as trading becomes progressively more dense, tending to continuous time. It is shown that these bounds nest as special cases most, if not all, existing arbitrage- and equilibrium-based option pricing models. Thus, when the underlying asset follows a generalized diffusion both bounds converge to a single value. For jump-diffusion processes, stochastic volatility models, and GARCH processes the bounds remain distinct and define several new option pricing results containing as special cases the arbitrage-based results.
Author | : Ioan Mihai Oancea |
Publisher | : |
Total Pages | : 0 |
Release | : 2006 |
Genre | : |
ISBN | : |
This thesis examines the pricing of options under several models with market incompleteness. The theoretical approach relies on the absence of stochastically dominating portfolios containing the underlying asset, the option and the riskless bond. The stochastic dominance approach provides two bounds on the equilibrium pricing of options by risk-averse investors. The two bounds are discounted conditional expectations of the option payoff under two probability measures. This research generalizes the previous stochastic dominance pricing results in discrete time to non-i.i.d. underlying asset return processes and to contingent claims with non-convex payoffs. The new results are then used to examine the stochastic dominance pricing bounds for several discrete and continuous time processes of the underlying asset. The continuous time bounds are obtained by constructing a sequence of discrete approximations that converge weakly to a given continuous time process. The weak convergence property provides the convergence of the two option bounds, which are discounted expectations of the option payoff. In the case of a univariate diffusion process, the two option bounds converge to a common limit. The two bounds converge to distinct limits when the underlying asset follows a jump-diffusion mixture. The non-iid stochastic dominance pricing results are then applied to the pricing of options for a LARCH specification of the underlying asset returns. The two stochastic dominance bounds are obtained both for conditional normal and non-normal returns. The impact of the model estimation error is examined by generating a return sample from a known model and computing the stochastic dominance bounds implied by several estimated models.
Author | : Stylianos Perrakis |
Publisher | : Springer |
Total Pages | : 294 |
Release | : 2019-05-03 |
Genre | : Business & Economics |
ISBN | : 3030115909 |
This book illustrates the application of the economic concept of stochastic dominance to option markets and presents an alternative option pricing paradigm to the prevailing no arbitrage simultaneous equilibrium in the frictionless underlying and option markets. This new methodology was developed primarily by the author, working independently or jointly with other co-authors, over the course of more than thirty years. Among others, it yields the fundamental Black-Scholes-Merton option value when markets are complete, presents a new approach to the pricing of rare event risk, and uncovers option mispricing that leads to tradeable strategies in the presence of transaction costs. In the latter case it shows how a utility-maximizing investor trading in the market and a riskless bond, subject to proportional transaction costs, can increase his/her expected utility by overlaying a zero-net-cost portfolio of options bought at their ask price and written at their bid price, irrespective of the specific form of the utility function. The book contains a unified presentation of these methods and results, making it a highly readable supplement for educators and sophisticated professionals working in the popular field of option pricing. It also features a foreword by George Constantinides, the Leo Melamed Professor of Finance at the Booth School of Business, University of Chicago, USA, who was a co-author in several parts of the book.
Author | : Songsak Sriboonchita |
Publisher | : CRC Press |
Total Pages | : 456 |
Release | : 2009-10-19 |
Genre | : Business & Economics |
ISBN | : 1420082671 |
Drawing from many sources in the literature, Stochastic Dominance and Applications to Finance, Risk and Economics illustrates how stochastic dominance (SD) can be used as a method for risk assessment in decision making. It provides basic background on SD for various areas of applications. Useful Concepts and Techniques for Economics ApplicationsThe
Author | : Haim Levy |
Publisher | : Springer Science & Business Media |
Total Pages | : 439 |
Release | : 2006-08-25 |
Genre | : Business & Economics |
ISBN | : 0387293116 |
This book is devoted to investment decision-making under uncertainty. The book covers three basic approaches to this process: the stochastic dominance approach; the mean-variance approach; and the non-expected utility approach, focusing on prospect theory and its modified version, cumulative prospect theory. Each approach is discussed and compared. In addition, this volume examines cases in which stochastic dominance rules coincide with the mean-variance rule and considers how contradictions between these two approaches may occur.
Author | : James Huang |
Publisher | : |
Total Pages | : |
Release | : 2007 |
Genre | : |
ISBN | : |
In this paper we apply the recently developed concept of almost first stochastic dominance to derive option bounds given the prices of any number of concurrently expiring options. Almost first stochastic dominance is adjusted first stochastic dominance which bars extreme utility functions that cause practical paradoxes. We show that the optimal almost first stochastic dominance option bounds are given by piecewise constant pricing kernels. The number of the segments of the optimal piecewise constant pricing kernel depends on the number of observed options. We then use the above model to test almost first stochastic dominance using data from options markets.
Author | : G. A. Whitmore |
Publisher | : |
Total Pages | : 424 |
Release | : 1978 |
Genre | : Business & Economics |
ISBN | : |
Theoretical foundations of stochastic dominance; Portfolio applications: empirical studies; Portfolio applications: computational aspects; Applications to financial management and capital markets; Applications in economic theory and analysis.
Author | : Jens Carsten Jackwerth |
Publisher | : |
Total Pages | : |
Release | : 2008 |
Genre | : |
ISBN | : |
Author | : Haim Levy |
Publisher | : Springer |
Total Pages | : 439 |
Release | : 2008-11-01 |
Genre | : Business & Economics |
ISBN | : 9780387510040 |
This book is devoted to investment decision-making under uncertainty. The book covers three basic approaches to this process: the stochastic dominance approach; the mean-variance approach; and the non-expected utility approach, focusing on prospect theory and its modified version, cumulative prospect theory. Each approach is discussed and compared. In addition, this volume examines cases in which stochastic dominance rules coincide with the mean-variance rule and considers how contradictions between these two approaches may occur.