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Portfolio Selection With Transaction Costs And Jump Diffusion Asset Dynamics Ii
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Book Synopsis Portfolio Selection with Transaction Costs and Jump-Diffusion Asset Dynamics II by : Michal Czerwonko
Download or read book Portfolio Selection with Transaction Costs and Jump-Diffusion Asset Dynamics II written by Michal Czerwonko and published by . This book was released on 2017 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: We derive allocation rules under isoelastic utility for a mixed jump-diffusion process in a two-asset portfolio selection problem with finite horizon in the presence of proportional transaction costs; we allow cash dividends on the risky asset. The allocation shifts toward the riskless asset relative to diffusion in varying degrees depending on parameter values. It is sensitive to the proportion of the jump component to total volatility, but also to the expected amplitude for a given proportion. The shift becomes small when the relative risk aversion increases, but it becomes major when the solvency constraint is active in the presence of jumps. We derive utility losses and risk premia due to jumps under realistic parameter values and show that even when the no transaction region is very similar between pure diffusion and the mixed process the latter corresponds to lower utility because of higher portfolio restructuring costs.
Book Synopsis Portfolio Selection with Transaction Costs and Jump-Diffusion Asset Dynamics by : Michal Czerwonko
Download or read book Portfolio Selection with Transaction Costs and Jump-Diffusion Asset Dynamics written by Michal Czerwonko and published by . This book was released on 2008 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: We derive the boundaries of the region of no transaction when the risky asset follows a mixed jump-diffusion process in the presence of proportional transaction costs. These boundaries are shown to differ from their diffusion counterparts in relation to the jump intensity for lognormally distributed jump size. A general numerical approach is presented for iid risky asset returns in discrete time. An error in earlier work on the region of no transaction for discretized diffusions is demonstrated and corrected results are presented. Comparative results with a recent study on the same topic are presented and it is shown that the numerical algorithm has equally attractive approximation properties to the unknown continuous time limit.
Book Synopsis Portfolio Selection with Transaction Costs and Jump-Diffusion Asset Dynamics I by : Michal Czerwonko
Download or read book Portfolio Selection with Transaction Costs and Jump-Diffusion Asset Dynamics I written by Michal Czerwonko and published by . This book was released on 2017 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: We derive allocation rules under isoelastic utility for a mixed jump-diffusion process in a two-asset portfolio selection problem with finite horizon in the presence of proportional transaction costs. We adopt a discrete time formulation, let the number of periods go to infinity, and show that it converges efficiently to the continuous time solution for the cases where this solution is known. We then apply this discretization to derive numerically the boundaries of the region of no transactions. Our discrete-time numerical approach outperforms alternative continuous-time approximations of the problem.
Book Synopsis Online Appendix by : Michal Czerwonko
Download or read book Online Appendix written by Michal Czerwonko and published by . This book was released on 2016 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appendix A demonstrates an error in the Genotte and Jung (1994) solution; Appendix B presents the Hamilton-Bellman-Jacoby equation in continuous time; Appendix C presents the exact solution in discrete time; Appendix D presents a numerical solution to the Liu and Loewenstein (2007) problem.
Book Synopsis Stochastic Dominance Option Pricing by : Stylianos Perrakis
Download or read book Stochastic Dominance Option Pricing written by Stylianos Perrakis and published by Springer. This book was released on 2019-05-03 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Optimal Portfolio Selection with Transaction Costs and 'Event Risk' by : Hong Liu
Download or read book Optimal Portfolio Selection with Transaction Costs and 'Event Risk' written by Hong Liu and published by . This book was released on 2009 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models with event risk (the possibility of sudden large price movements) have proven important for option pricing (e.g., Bates (1996))and optimal portfolio selection (e.g., Liu, Longstaff and Pan(2003)). However, most of the existing studies ignore transaction costs which are prevalent in almost all of the financial markets. How investors should trade in the presence of event risks and transaction costs remains an important but unanswered question. In this paper, we consider the optimal trading strategy for a CRRA investor who derives utility from terminal wealth and can continuously trade in a riskless asset and a risky asset. The risky asset, whose price follows a jump diffusion, is subject to proportional transaction costs. We show that the optimal trading strategy is to maintain the fraction of wealth invested in the risky asset between two bounds. In contrast to the case without jump risk, this fraction can jump outside the bounds which implies a discrete transaction back to the closest boundary and thus a greater transaction cost payment. We characterize the value function and provide bounds on the trading boundaries. Somewhat surprisingly, we find that an increase in transaction costs may increase trading frequency. Our numerical results suggest that event risk significantly reduces stock holdings and decreases trading frequency. We also show that the boundaries are affected not only by jump sizes but also by the uncertainty about jump sizes. Furthermore, we examine how the optimal transaction boundaries vary through time for investors with deterministic horizons.
Book Synopsis Optimal Portfolio Selection with Fixed Transaction Costs in the Presence of Jumps and Random Drift by : Ajay Subramanian Aiyer
Download or read book Optimal Portfolio Selection with Fixed Transaction Costs in the Presence of Jumps and Random Drift written by Ajay Subramanian Aiyer and published by . This book was released on 1996 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Portfolio Selection and Asset Pricing by : Shouyang Wang
Download or read book Portfolio Selection and Asset Pricing written by Shouyang Wang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In our daily life, almost every family owns a portfolio of assets. This portfolio could contain real assets such as a car, or a house, as well as financial assets such as stocks, bonds or futures. Portfolio theory deals with how to form a satisfied portfolio among an enormous number of assets. Originally proposed by H. Markowtiz in 1952, the mean-variance methodology for portfolio optimization has been central to the research activities in this area and has served as a basis for the development of modem financial theory during the past four decades. Follow-on work with this approach has born much fruit for this field of study. Among all those research fruits, the most important is the capital asset pricing model (CAPM) proposed by Sharpe in 1964. This model greatly simplifies the input for portfolio selection and makes the mean-variance methodology into a practical application. Consequently, lots of models were proposed to price the capital assets. In this book, some of the most important progresses in portfolio theory are surveyed and a few new models for portfolio selection are presented. Models for asset pricing are illustrated and the empirical tests of CAPM for China's stock markets are made. The first chapter surveys ideas and principles of modeling the investment decision process of economic agents. It starts with the Markowitz criteria of formulating return and risk as mean and variance and then looks into other related criteria which are based on probability assumptions on future prices of securities.
Book Synopsis Strategic Asset Allocation by : John Y. Campbell
Download or read book Strategic Asset Allocation written by John Y. Campbell and published by OUP Oxford. This book was released on 2002-01-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Academic finance has had a remarkable impact on many financial services. Yet long-term investors have received curiously little guidance from academic financial economists. Mean-variance analysis, developed almost fifty years ago, has provided a basic paradigm for portfolio choice. This approach usefully emphasizes the ability of diversification to reduce risk, but it ignores several critically important factors. Most notably, the analysis is static; it assumes that investors care only about risks to wealth one period ahead. However, many investors—-both individuals and institutions such as charitable foundations or universities—-seek to finance a stream of consumption over a long lifetime. In addition, mean-variance analysis treats financial wealth in isolation from income. Long-term investors typically receive a stream of income and use it, along with financial wealth, to support their consumption. At the theoretical level, it is well understood that the solution to a long-term portfolio choice problem can be very different from the solution to a short-term problem. Long-term investors care about intertemporal shocks to investment opportunities and labor income as well as shocks to wealth itself, and they may use financial assets to hedge their intertemporal risks. This should be important in practice because there is a great deal of empirical evidence that investment opportunities—-both interest rates and risk premia on bonds and stocks—-vary through time. Yet this insight has had little influence on investment practice because it is hard to solve for optimal portfolios in intertemporal models. This book seeks to develop the intertemporal approach into an empirical paradigm that can compete with the standard mean-variance analysis. The book shows that long-term inflation-indexed bonds are the riskless asset for long-term investors, it explains the conditions under which stocks are safer assets for long-term than for short-term investors, and it shows how labor income influences portfolio choice. These results shed new light on the rules of thumb used by financial planners. The book explains recent advances in both analytical and numerical methods, and shows how they can be used to understand the portfolio choice problems of long-term investors.
Book Synopsis Optimal Portfolio Selection with Transaction Costs by : N'Golo Koné
Download or read book Optimal Portfolio Selection with Transaction Costs written by N'Golo Koné and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The optimal portfolio selection problem has been and continues to be a subject of interest in finance. The main objective is to find the best way to allocate the financial resources in a set of assets available on the financial market in order to reduce the portfolio fluctuation risks and achieve high returns. Nonetheless, there has been a strong advance in the literature of the optimal allocation of financial resources since the 20th century with the proposal of several strategies for portfolio selection essentially motivated by the pioneering work of Markowitz (1952)which provides a solid basis for portfolio analysis on the financial market. This thesis, divided into three chapters, contributes to this vast literature by proposing various economic tools to improve the process of selecting portfolios on the financial market in order to help stakeholders in this market. The first chapter, a joint paper with Marine Carrasco, addresses a portfolio selection problem with trading costs on stock market. More precisely, we develop a simple GMM-based test procedure to test the significance of trading costs effect in the economy regardless of the form of the transaction cost. In fact, most of the studies in the literature about trading costs effect depend largely on the form of the frictions assumed in the model (Dumas and Luciano (1991), Lynch and Balduzzi (1999), Lynch and Balduzzi (2000), Liu and Loewenstein (2002), Liu (2004), Lesmond et al. (2004), Buss et al. (2011), Gârleanu and Pedersen (2013), Heaton and Lucas (1996)). To overcome this problem, we develop a simple test procedure which allows us to test the significance of trading costs effect on a given asset in the economy without any assumption about the form of these frictions. Our test procedure relies on the assumption that the model estimated by GMM is correctly specified. A common test used to evaluate this assumption is the standard J-test proposed by Hansen (1982). However, when the true parameter is close to the boundary of the parameter space, the standard J-test based on the chi2 critical value suffers from overrejection. To overcome this problem, we propose a two-step procedure to test overidentifying restrictions when the parameter of interest approaches the boundary of the parameter space. In an empirical analysis, we apply our test procedures to the class of anomalies used in Novy-Marx and Velikov (2016). We show that transaction costs have a significant effect on investors' behavior for most anomalies. In that case, investors significantly improve out-of-sample performance by accounting for trading costs. The second chapter addresses a multi-period portfolio selection problem when the number of assets in the financial market is large. Using an exponential utility function, the optimal solution is shown to be a function of the inverse of the covariance matrix of asset returns. Nonetheless, when the number of assets grows, this inverse becomes unreliable, yielding a selected portfolio that is far from the optimal one. We propose two solutions to this problem. First, we penalize the norm of the portfolio weights in the dynamic problem and show that the selected strategy is asymptotically efficient. However, this method partially controls the estimation error in the optimal solution because it ignores the estimation error in the expected return, which may also be important when the number of assets in the financial market increases considerably. We propose an alternative method that consists of penalizing the norm of the difference of successive portfolio weights in the dynamic problem to guarantee that the optimal portfolio composition does not fluctuate widely between periods. We show, under appropriate regularity conditions, that we better control the estimation error in the optimal portfolio with this new procedure. This second method helps investors to avoid high trading costs in the financial market by selecting stable strategies over time. Extensive simulations and empirical results confirm that our procedures considerably improve the performance of the dynamic portfolio. In the third chapter, we use various regularization (or stabilization) techniques borrowed from the literature on inverse problems to estimate the maximum diversification as defined by Choueifaty (2011). In fact, the maximum diversification portfolio depends on the vector of asset volatilities and the inverse of the covariance matrix of assets distribution. In practice, these two quantities need to be replaced by their sample counterparts. This results in estimation error which is amplified by the fact that the sample covariance matrix may be close to a singular matrix in a large financial market, yielding a selected portfolio far from the optimal one with very poor performance. To address this problem, we investigate three regularization techniques, such as the ridge, the spectral cut-off, and the Landweber-Fridman, to stabilize the inverse of the covariance matrix in the investment process. These regularization schemes involve a tuning parameter that needs to be chosen. So, we propose a data-driven method for selecting the tuning parameter in an optimal way. The resulting regularized rules are compared to several strategies such as the most diversified portfolio, the target portfolio, the global minimum variance portfolio, and the naive 1/N strategy in terms of in-sample and out-of-sample Sharpe ratio.
Author :Thamayanthi Chellathurai Publisher :National Library of Canada = Bibliothèque nationale du Canada ISBN 13 :9780612829787 Total Pages :390 pages Book Rating :4.8/5 (297 download)
Book Synopsis Dynamic Portfolio Selection with Transaction Costs [microform] : a Non-singular Stochastic Optimal Control Approach by : Thamayanthi Chellathurai
Download or read book Dynamic Portfolio Selection with Transaction Costs [microform] : a Non-singular Stochastic Optimal Control Approach written by Thamayanthi Chellathurai and published by National Library of Canada = Bibliothèque nationale du Canada. This book was released on 2003 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Continuous Time Mean-Variance Optimal Portfolio Allocation Under Jump Diffusion by : Duy-Minh Dang
Download or read book Continuous Time Mean-Variance Optimal Portfolio Allocation Under Jump Diffusion written by Duy-Minh Dang and published by . This book was released on 2013 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present efficient partial differential equation (PDE) methods for continuous time mean-variance portfolio allocation problems when the underlying risky asset follows a jump-diffusion. The standard formulation of mean-variance optimal portfolio allocation problems, where the total wealth is the underlying stochastic process, gives rise to a one-dimensional (1-D) non-linear Hamilton-Jacobi- Bellman (HJB) partial integro-differential equation (PIDE) with the control present in the integrand of the jump term, and thus is difficult to solve efficiently. In order to preserve the efficient handling of the jump term, we formulate the asset allocation problem as a 2-D impulse control problem, one dimension for each asset in the portfolio, namely the bond and the stock. We then develop a numerical scheme based on a semi-Lagrangian timestepping method, which we show to be monotone, consistent, and stable. Hence, assuming a strong comparison property holds, the numerical solution is guaranteed to converge to the unique viscosity solution of the corresponding HJB PIDE. The correctness of the proposed numerical framework is verified by numerical examples. We also discuss the effects on the efficient frontier of realistic financial modeling, such as different borrowing and lending interest rates, transaction costs and constraints on the portfolio, such as maximum limits on borrowing and solvency.
Book Synopsis Dynamic Asset Allocation with Predictable Returns and Transaction Costs by : Pierre Collin-Dufresne
Download or read book Dynamic Asset Allocation with Predictable Returns and Transaction Costs written by Pierre Collin-Dufresne and published by . This book was released on 2015 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose a simple approach to dynamic multi-period portfolio choice with transaction costs that is tractable in settings with a large number of securities, realistic return dynamics with multiple risk factors, many predictor variables, and stochastic volatility. We obtain a closed-form solution for an optimal trading rule when the problem is restricted to a broad class of strategies we define as 'linearity generating strategies' (LGS). When restricted to this class, the non-linear dynamic optimization problem reduces to a deterministic linear-quadratic optimization problem in the parameters of the trading strategies. We show that the LGS approach dominates several alternatives in realistic settings, and in particular when the covariance structure and transaction costs are stochastic.
Download or read book Quantitative Trading written by Xin Guo and published by CRC Press. This book was released on 2017-01-06 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this book discusses institutions and mechanisms of algorithmic trading, market microstructure, high-frequency data and stylized facts, time and event aggregation, order book dynamics, trading strategies and algorithms, transaction costs, market impact and execution strategies, risk analysis, and management. The second part covers market impact models, network models, multi-asset trading, machine learning techniques, and nonlinear filtering. The third part discusses electronic market making, liquidity, systemic risk, recent developments and debates on the subject.
Book Synopsis Financial Modelling with Jump Processes by : Peter Tankov
Download or read book Financial Modelling with Jump Processes written by Peter Tankov and published by CRC Press. This book was released on 2003-12-30 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: WINNER of a Riskbook.com Best of 2004 Book Award! During the last decade, financial models based on jump processes have acquired increasing popularity in risk management and option pricing. Much has been published on the subject, but the technical nature of most papers makes them difficult for nonspecialists to understand, and the mathematic
Book Synopsis Recent Advances in Applied Probability by : Ricardo Baeza-Yates
Download or read book Recent Advances in Applied Probability written by Ricardo Baeza-Yates and published by Springer Science & Business Media. This book was released on 2006-02-28 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. Recent Advances in Applied Probability is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area. This volume will be of interest to graduate students and researchers whose research is closely connected to probability modelling and their applications. It is suitable for one semester graduate level research seminar in applied probability.
Book Synopsis Portfolio Selection and Asset Pricing: Models of Financial Economics and Their Applications in Investing by : Jamil Baz
Download or read book Portfolio Selection and Asset Pricing: Models of Financial Economics and Their Applications in Investing written by Jamil Baz and published by McGraw Hill Professional. This book was released on 2022-09-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This uniquely comprehensive guide provides expert insights into everything from financial mathematics to the practical realities of asset allocation and pricing Investors like you typically have a choice to make when seeking guidance for portfolio selection―either a book of practical, hands-on approaches to your craft or an academic tome of theories and mathematical formulas. From three top experts, Portfolio Selection and Asset Pricing strikes the right balance with an extensive discussion of mathematical foundations of portfolio choice and asset pricing models, and the practice of asset allocation. This thorough guide is conveniently organized into four sections: Mathematical Foundations―normed vector spaces, optimization in discrete and continuous time, utility theory, and uncertainty Portfolio Models―single-period and continuous-time portfolio choice, analogies, asset allocation for a sovereign as an example, and liability-driven allocation Asset Pricing―capital asset pricing models, factor models, option pricing, and expected returns Robust Asset Allocation―robust estimation of optimization inputs, such as the Black-Litterman Model and shrinkage, and robust optimizers Whether you are a sophisticated investor or advanced graduate student, this high-level title combines rigorous mathematical theory with an emphasis on practical implementation techniques.
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