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Optimal Portfolio Choice Under Partial Information And Transaction Costs
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Book Synopsis Optimal Portfolio Choice Under Partial Information and Transaction Costs by : Huamao Wang
Download or read book Optimal Portfolio Choice Under Partial Information and Transaction Costs written by Huamao Wang and published by . This book was released on 2010 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop and analyze a model of optimal portfolio choice with a finite time horizon T. The investor's objective is to maximize the expected utility of termi- nal wealth based on partial information generated by stock prices. Rebalancing the portfolio composed of a stock and a bank account incurs transaction costs. This thesis extends the literature by examining the joint impact of partial in- formation and transaction costs on investors' decisions and expected utilities. After estimating the uncertain drift from historical prices, an investor up- dates the estimate over [0, T] based on partial information. This investor learns about the drift with the Kalman-Bucy filter, which provides a statistically op- timal estimate. Three regions of the state space with two free boundaries char- acterize the optimal portfolio strategy. A numerical algorithm using dynamic programming and a Markov chain approximation solves the model. The ex- isting algorithm with known parameters is time consuming and liable to cause underflow or overflow of the range of values represented. We propose four im- provements to overcome the drawbacks. The algorithm with modifications can be applied to the model under partial information according to the separation principle. We define two measures to quantify the losses in utility caused by partial information and transaction costs. Four quantities are introduced to describe investors' trading behaviours. With simulations of stock prices and the drift, the comparative analysis of five market parameters reveals the properties of the model and tests the robustness of the algorithm. Compared with the investors who use erroneous estimates of the drift, the learning investor's portfolio hold- ings are close to the informed investor's portfolio holdings. The average cost per transaction to the learning investor is the lowest. This investor has these benefits because the filter reduces uncertainty. We discuss the implications for practitioners to highlight the practical contributions of this research. KEY WORDS: investment; portfolio choice; parameter uncertainty; transaction costs; dynamic programming.
Book Synopsis Portfolio Choice Problems by : Nicolas Chapados
Download or read book Portfolio Choice Problems written by Nicolas Chapados and published by Springer Science & Business Media. This book was released on 2011-07-12 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief offers a broad, yet concise, coverage of portfolio choice, containing both application-oriented and academic results, along with abundant pointers to the literature for further study. It cuts through many strands of the subject, presenting not only the classical results from financial economics but also approaches originating from information theory, machine learning and operations research. This compact treatment of the topic will be valuable to students entering the field, as well as practitioners looking for a broad coverage of the topic.
Book Synopsis Optimal Portfolio Choice with Predictability in House Prices and Transaction Costs by : Stefano Corradin
Download or read book Optimal Portfolio Choice with Predictability in House Prices and Transaction Costs written by Stefano Corradin and published by . This book was released on 2009 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study a model of portfolio choice with housing in which house price is predictable. Housing is illiquid in that a transaction cost must be paid when the house is sold. We show that two state variables aff ect the agent's decisions: (i) the wealth-houseratio, and (ii) the time-varying mean rate of house price growth. The agent increases (decreases) his housing asset holding only when the wealth-house ratio reaches an optimal upper (lower) boundary. These boundaries are time-varying and will decrease (increase) when house prices are expected to rise (fall). Implications for portfolio rules and housing asset holding are examined. Finally, we use PSID data to test the implications of our model.
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.
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 An Exact Solution to the Portfolio Choice Problem Under Transactions Costs by : Bernard Dumas
Download or read book An Exact Solution to the Portfolio Choice Problem Under Transactions Costs written by Bernard Dumas and published by . This book was released on 1989 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Simple Algorithm for Optimal Portfolio Selection with Fixed Transaction Costs by : Nitin Ratilal Patel
Download or read book A Simple Algorithm for Optimal Portfolio Selection with Fixed Transaction Costs written by Nitin Ratilal Patel and published by . This book was released on 1979 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Handbook of Monetary Economics vols 3A+3B Set by : Benjamin M. Friedman
Download or read book Handbook of Monetary Economics vols 3A+3B Set written by Benjamin M. Friedman and published by Elsevier. This book was released on 2010-11-10 with total page 1729 pages. Available in PDF, EPUB and Kindle. Book excerpt: How have monetary policies matured during the last decade? The recent downturn in economies worldwide have put monetary policies in a new spotlight. In addition to their investigations of new tools, models, and assumptions, they look carefully at recent evidence on subjects as varied as price-setting, inflation persistence, the private sector's formation of inflation expectations, and the monetary policy transmission mechanism. They also reexamine standard presumptions about the rationality of asset markets and other fundamentals. Stopping short of advocating conclusions about the ideal conduct of policy, the authors focus instead on analytical methods and the changing interactions among the ingredients and properties that inform monetary models. The influences between economic performance and monetary policy regimes can be both grand and muted, and this volume clarifies the present state of this continually evolving relationship. Presents extensive coverage of monetary policy theories with an eye toward questions raised by the recent financial crisis Explores the policies and practices used in formulating and transmitting monetary policies Questions fiscal-monetary connnections and encourages new thinking about the business cycle itself Observes changes in the formulation of monetary policies over the last 25 years
Book Synopsis Handbook of Monetary Economics 3A by : Benjamin M. Friedman
Download or read book Handbook of Monetary Economics 3A written by Benjamin M. Friedman and published by Elsevier. This book was released on 2010-11-17 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt: How have monetary policies matured during the last decade? The recent downturn in economies worldwide have put monetary policies in a new spotlight. In addition to their investigations of new tools, models, and assumptions, they look carefully atrecent evidence on subjects as varied as price-setting, inflation persistence, the private sector's formation of inflation expectations, and the monetary policy transmission mechanism. They also reexamine standard presumptions about the rationality of asset markets and other fundamentals. Stopping short of advocating conclusions about the ideal conduct of policy, the authors focus instead on analytical methods and the changing interactions among the ingredients and properties that inform monetary models. The influences between economic performance and monetary policy regimes can be both grand and muted, and this volume clarifies the present state of this continually evolving relationship. Presents extensive coverage of monetary policy theories with an eye toward questions raised by the recent financial crisis Explores the policies and practices used in formulating and transmitting monetary policiesQuestions fiscal-monetary connections and encourages new thinking about the business cycle itself Observes changes in the formulation of monetary policies over the last 25 years.
Download or read book Optimal Portfolios written by Ralf Korn and published by World Scientific. This book was released on 1997 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It begins by presenting the complete Black-Scholes type model and then moves on to incomplete models and models including constraints and transaction costs. The models and methods presented will include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al., the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig etc. Stress is laid on rigorous mathematical presentation and clear economic interpretations while technicalities are kept to the minimum. The underlying mathematical concepts will be provided. No a priori knowledge of stochastic calculus, stochastic control or partial differential equations is necessary (however some knowledge in stochastics and calculus is needed).
Book Synopsis Optimal Portfolio Selection for the Small Investor Considering Risk and Transaction Costs by : Rainer Baule
Download or read book Optimal Portfolio Selection for the Small Investor Considering Risk and Transaction Costs written by Rainer Baule and published by . This book was released on 2013 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: A direct application of classical portfolio selection theory is problematic for the small investor, since transaction costs in the form of bank and broker fees exist. Particularly minimum fees force the investor to choose a rather small selection of assets. This leads to an optimization problem which juxtaposes the transaction costs against the risk costs arising with portfolios consisting of only a few assets. Despite the non-convex and thus complex optimization, an algorithmic solution turns out to be very fast and precise. An empirical study shows that for smaller investment volumes, transaction costs dominate risk costs, so that optimal portfolios contain only a very small number of assets.
Book Synopsis Optimal Portfolio Choice with Dynamic Asymmetric Correlations and Transaction Constraints by : Letian Ding
Download or read book Optimal Portfolio Choice with Dynamic Asymmetric Correlations and Transaction Constraints written by Letian Ding and published by . This book was released on 2010 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper develops a framework for constructing portfolios with superior out-of-sample performance in the presence of estimation errors. Our framework relies on solving the classical mean-variance problem with dynamic portfolio rebalancing at a comparatively-high frequency level. With the employment of A-DCC GARCH model, we found that the usage of turnover constraints will tend to enhance the performance of the portfolios sufficiently high to overcome transaction costs in practice. For a long-only optimal portfolio based on a linear combination of two different strategies we find a return exceeding 51% per annual with annual volatility equal to 35% over the 1998-2007 period. We argue that the advantage of our framework comes from the mean-reverting nature of the stock market and the impact of the estimation errors in high frequency level. Our works indicate that one can successfully move from ordinary monthly or weekly adjusting strategies to high frequency and dynamic asset management without the significant increase of transaction costs.
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 Transaction Costs by : Phelim P. Boyle
Download or read book Optimal Portfolio Selection with Transaction Costs written by Phelim P. Boyle and published by . This book was released on 1994 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling and Numerical Solution of Portfolio Optimization Problems with Transaction Costs: An Option Pricing Approach by : Zhen Liu
Download or read book Modeling and Numerical Solution of Portfolio Optimization Problems with Transaction Costs: An Option Pricing Approach written by Zhen Liu and published by . This book was released on 2007 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Portfolio optimization problems with transaction costs have been widely studied by both financial economists and financial engineers through various approaches. In this paper, we propose the following approach. In analogy to American option pricing, we study the problem through the Finite Element Method (FEM) combined with an optimization method: We set up a buy-and-hold problem and then we find an optimal set of trades to move to an optimal portfolio whenever the current portfolio is far from the ideal. Local Discontinuous Galerkin (LDG) FEM is used to solve the partial differential equation (PDE) associated with the buy-and-hold problem. Coupled with the Runge-Kutta method for time discretization, this method is local with respect to spatial variable, can be used to achieve any order of accuracy and is explicit in the semi-discrete Ordinary Differential Equation (ODE) form. Also it is amendable to parallel computing. In this paper we give error bounds for the LDG method, with which we establish overall bounds for the portfolio optimization problem and prove the convergence of this method.
Book Synopsis Asset Pricing and Portfolio Choice Theory by : Kerry Back
Download or read book Asset Pricing and Portfolio Choice Theory written by Kerry Back and published by Oxford University Press. This book was released on 2017 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today all would agree that Mexico and the United States have never been closer--that the fates of the two republics are intertwined. Mexico has become an intimate part of life in almost every community in the United States, through immigration, imported produce, business ties, or illegal drugs. It is less a neighbor than a sibling; no matter what our differences, it is intricately a part of our existence. In the fully updated second edition of Mexico: What Everyone Needs to Know(R), Roderic Ai Camp gives readers the most essential information about our sister republic to the south. Camp organizes chapters around major themes--security and violence, economic development, foreign relations, the colonial heritage, and more. He asks questions that take us beyond the headlines: Why does Mexico have so much drug violence? What was the impact of the North American Free Trade Agreement? How democratic is Mexico? Who were Benito Juarez and Pancho Villa? What is the PRI (the Institutional Revolutionary Party)? The answers are sometimes surprising. Despite ratification of NAFTA, for example, Mexico has fallen behind Brazil and Chile in economic growth and rates of poverty. Camp explains that lack of labor flexibility, along with low levels of transparency and high levels of corruption, make Mexico less competitive than some other Latin American countries. The drug trade, of course, enhances corruption and feeds on poverty; approximately 450,000 Mexicans now work in this sector. Brisk, clear, and informed, Mexico: What Everyone Needs To Know(R) offers a valuable primer for anyone interested in the past, present, and future of our neighbor to the South. Links to video interviews with prominent Mexicans appear throughout the text. The videos can be accessed at through The Oxford Research Encyclopedia of Latin American History at http: //latinamericanhistory.oxfordre.com/page/videos/
