Download or read book Multiperiod Portfolio Selection and Bayesian Dynamic Models written by Petter N. Kolm and published by . This book was released on 2017 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques inspired by Bayesian statistics provide an elegant solution to the classic investment problem of optimally planning a sequence of trades in the presence of transaction costs.
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.
Download or read book Optimal Dynamic Portfolio Selection written by Duan Li and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The mean-variance formulation by Markowitz in the 1950s paved a foundation for modern portfolio selection analysis in a single period. This paper considers an analytical optimal solution to the mean-variance formulation in multiperiod portfolio selection. Specifically, analytical optimal portfolio policy and analytical expression of the mean-variance efficient frontier are derived in this paper for the multiperiod mean-variance formulation. An efficient algorithm is also proposed for finding an optimal portfolio policy to maximize a utility function of the expected value and the variance of the terminal wealth.
Download or read book Portfolio Selection with Parameter and Model Uncertainty written by Lorenzo Garlappi and published by . This book was released on 2005 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamic Bayesian Learning and Optimization in Portfolio Choice Models written by Shea Daniel Chen and published by . This book was released on 2014 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: We develop two dynamic Bayesian portfolio allocation models that address questions of learning and model uncertainty by taking model-specific shortcomings into account. In our first model, we formulate a multi-period portfolio choice problem in which the investor is uncertain about parameters of the model, can learn these parameters over time from observing asset returns, but is also concerned about robustness. To address these concerns, we introduce an objective function which can be regarded as a Bayesian version of relative regret. The optimal portfolio is characterized and shown to involve a ``tilted'' posterior, where the tilting is defined in terms of a family of stochastic benchmarks. We have found this model to perform at least as well as a benchmark given the true market parameters, while outperforming it when the market assets have the same trend. Our next model extends the Black-Litterman portfolio choice model by taking several potential errors into account. We extend Black-Litterman to multiple periods, which allows for us to take into account the pairs of expert forecasts and the realized return. By doing so, we can then perform inference on these experts and discover whether they may have any bias for or against any specific assets. We can also perform similar inference on the market equilibrium distribution, which is typically represented by the capital asset pricing model (CAPM). The result is a model that is analytically intractable but may be solved numerically via Gibbs sampling. Controlled tests show our model performs favorably when Black-Litterman's model assumptions about the market equilibrium and expert views are violated. Backtests shed light on the model's ability to account for CAPM's shortcomings.
Download or read book Modern Portfolio Selection Theory written by Fang Liu and published by LAP Lambert Academic Publishing. This book was released on 2011-02 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Portfolio selection is an important research topic in the field of finance, but typically, existing portfolio models cover a single investment period and are static, while real-world investors operate dynamically over multiple periods. So multi-period portfolio selection models have been studied widely in recent years. This book mainly discusses the efficient frontier of the mean-VaR model for multi-period portfolio selection, and the algorithm and model for multi-period portfolio selection including uncertainty. Its main contents are as follows: firstly, effective solutions are given for the mean-VaR model for multi-period portfolio selection, and the efficient frontier problem is discussed. We then introduce credibility safety standards-based multi-period portfolio selection and fuzzy entropy-based multi-period portfolio selection models. We also present an empirical study for the two types of model.
Download or read book Multiperiod Portfolio Choice Under Loss Aversion with Dynamic Reference Point in Serially Correlated Market written by Jianjun Gao and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate a novel multiperiod portfolio decision model for loss-averse investors with dynamically adapted reference points in a market with serially correlated returns. We demonstrate that the optimal policy is a piecewise linear function of the deviation between current wealth and reference level, and its slopes are a path-dependent function of the historical returns, in sharp contrast to the constant slopes generated by the simplified model that ignores the diminishing sensitivity and assumes independent returns. We show that this new feature significantly changes the typical V-shape pattern of the risky position, resulting in a more complicated nonlinear functional mapping. Our research highlights the potential dangers of relying on the simplified model and provides valuable insights for investors and practitioners to develop effective portfolio strategies under realistic market conditions. Additionally, our simulation analysis indicates that the predictability of returns combined with a small degree of diminishing sensitivity may enhance the disposition effect. Lastly, we prove that the new policy also fits to solve the multiperiod mean-Conditional-Value-at-Risk (CVaR) portfolio optimization problem with correlated returns, further broadening the application of our findings.
Download or read book A Multi period Portfolio Selection in a Large Financial Market 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: This paper 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. Second, we penalize 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. 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.
Download or read book Multi Period Trading Via Convex Optimization written by Stephen Boyd and published by . This book was released on 2017-07-28 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph collects in one place the basic definitions, a careful description of the model, and discussion of how convex optimization can be used in multi-period trading, all in a common notation and framework.
Download or read book Vector Forecasting and Dynamic Portfolio Selection written by Ralf Östermark and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Dynamic Programming Methods for the Portfolio Selection Problem written by Dimitrios Karamanis and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we study the portfolio selection problem with multiple risky assets, linear transaction costs and a risk measure in a multi-period setting. In particular, we formulate the multi-period portfolio selection problem as a dynamic program and to solve it we construct approximate dynamic programming (ADP) algorithms, where we include Conditional-Value-at-Risk (CVaR) as a measure of risk, for different separable functional approximations of the value functions. We begin with the simple linear approximation which does not capture the nature of the portfolio selection problem since it ignores risk and leads to portfolios of only one asset. To improve it, we impose upper bound constraints on the holdings of the assets and we notice that we have more diversified portfolios. Then, we implement a piecewise linear approximation, for which we construct an update rule for the slopes of the approximate value functions that preserves concavity as well as the number of slopes. Unlike the simple linear approximation, in the piecewise linear approximation we notice that risk affects the composition of the selected portfolios. Further, unlike the linear approximation with upper bounds, here wealth flows naturally from one asset to another leading to diversified portfolios without us needing to impose any additional constraints on how much we can hold in each asset. For comparison, we consider existing portfolio selection methods, both myopic ones such as the equally weighted and a single-period portfolio models, and multi-period ones such as multistage stochastic programming. We perform extensive simulations using real-world equity data to evaluate the performance of all methods and compare all methods to a market Index. Computational results show that the piecewise linear ADP algorithm significantly outperforms the other methods as well as the market and runs in reasonable computational times. Comparative results of all methods are provided and some interesting conclusions are drawn especially when it comes to comparing the piecewise linear ADP algorithms with multistage stochastic programming.
Download or read book Essays On Trading Strategy written by Graham L Giller and published by World Scientific. This book was released on 2023-08-17 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book directly focuses on finding optimal trading strategies in the real world and supports that with a well-defined theoretical foundation that allows trading strategy problems to be solved. Critically, it also delivers a menu of actual solutions that can be applied by traders with various risk profiles and objectives in markets that exhibit substantial tail risk. It shows how the Markowitz approach leads to excessive risk taking, and trader underperformance, in the real world. It summarizes the key features of Utility Theory, the deficiencies of the Sharpe Ratio as a statistic, and develops an optimal decision theory with fully developed examples for both 'Normal' and leptokurtotic distributions.
Download or read book A Multi period Behavioral Model for Portfolio Selection Problem written by Sundaravaradhan Srinivasan and published by . This book was released on 1972 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the optimality of some multiperiod portfolio selection criteria written by Edwin J. Elton and published by . This book was released on 1974 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiperiod Portfolio Selection with Risk Management Using Gene Expression Programming and Stochastic Programming written by 陳紘昕 and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Big Data and Machine Learning in Quantitative Investment written by Tony Guida and published by John Wiley & Sons. This book was released on 2019-03-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Get to know the ‘why’ and ‘how’ of machine learning and big data in quantitative investment Big Data and Machine Learning in Quantitative Investment is not just about demonstrating the maths or the coding. Instead, it’s a book by practitioners for practitioners, covering the questions of why and how of applying machine learning and big data to quantitative finance. The book is split into 13 chapters, each of which is written by a different author on a specific case. The chapters are ordered according to the level of complexity; beginning with the big picture and taxonomy, moving onto practical applications of machine learning and finally finishing with innovative approaches using deep learning. • Gain a solid reason to use machine learning • Frame your question using financial markets laws • Know your data • Understand how machine learning is becoming ever more sophisticated Machine learning and big data are not a magical solution, but appropriately applied, they are extremely effective tools for quantitative investment — and this book shows you how.
Download or read book Multiperiod Portfolio Optimization written by Elaine Chew and published by . This book was released on 1998 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:
