The Basics of Finance: An Introduction to Financial Markets, Business Finance, and Portfolio Management (Frank J. Fabozzi Series) · Read more. Brochure More information from musicmarkup.info / Probability and Statistics for Finance. Frank J. Fabozzi Series. 【Pages】 Pages 高清晰原版此下载为PDF格式，需要mobi格式的 Probability and Statistics for musicmarkup.info ( MB, 售价: 5 个论坛币).
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A comprehensive look at how probability and statistics is applied to the investment process. Finance has become increasingly more. A comprehensive look at how probability and statistics is appliedto the investment process Finance has become increasingly more quantitative, drawing . Request PDF on ResearchGate | Probability and Statistics for Finance | A adoption of extreme value distributions can be found, for example, in Fabozzi et al.
Description A comprehensive look at how probability and statistics is applied to the investment process Finance has become increasingly more quantitative, drawing on techniques in probability and statistics that many finance practitioners have not had exposure to before. In order to keep up, you need a firm understanding of this discipline. Probability and Statistics for Finance addresses this issue by showing you how to apply quantitative methods to portfolios, and in all matter of your practices, in a clear, concise manner. Informative and accessible, this guide starts off with the basics and builds to an intermediate level of mastery. Outlines an array of topics in probability and statistics and how to apply them in the world of finance Includes detailed discussions of descriptive statistics, basic probability theory, inductive statistics, and multivariate analysis Offers real-world illustrations of the issues addressed throughout the text The authors cover a wide range of topics in this book, which can be used by all finance professionals as well as students aspiring to enter the field of finance.
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About this book A comprehensive look at how probability and statistics is applied to the investment process Finance has become increasingly more quantitative, drawing on techniques in probability and statistics that many finance practitioners have not had exposure to before. Free Access.
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Forgot password? Old Password. New Password. Your password has been changed. Returning user. In contrast, Bayesian statistics treats probability distributions as uncertain and subject to modification as new information becomes available.
Uncertainty is implicitly incorporated by probability updating.
The probability beliefs based on the existing knowledge base take the form of the prior probability. The posterior probability represents the updated beliefs. Since the beginning of last century, when quantitative methods and models became a mainstream tool to aid in understanding financial markets and formulating investment strategies, the framework applied in finance has been the frequentist approach.
Only in the last two decades has Bayesian statistics started to gain greater acceptance in financial modeling, despite its introduction about years ago by Thomas Bayes, a British minister and mathematician. It has been the advancements of computing power and the development of new computational methods that has fostered the growing use of Bayesian statistics in finance.
In essence, the risk management published in Les Prix Nobel Holton provides a historical background of the development of the concepts of risk and uncertainty.
Formulating the prior probabilities to reflect existing information. Constructing the quantitative model, taking care to incorporate the uncertainty intrinsic in model assumptions.
Selecting and evaluating a utility function describing how uncertainty affects alternative model decisions. While these steps constitute the rigorous approach to Bayesian decisionmaking, applications of Bayesian methods to financial modeling often only involve the first two steps or even only the second step. This tendency is a reflection of the pragmatic Bayesian approach that researchers of empirical finance often favor and it is the approach that we adopt in this book.
The aim of the book is to provide an overview of the theory of Bayesian methods and explain their applications to financial modeling. While the principles and concepts explained in the book can be used in financial modeling and decision making in general, our focus will be on portfolio management and market risk management since these are the areas in finance where Bayesian methods have had the greatest penetration to date.
An area of Bayesian methods with potentially important financial applications is Bayesian networks. Bayesian networks have been applied in operational risk modeling. See, for example, Alexander and Neil, Fenton, and Tailor We come across the transformation in 1.
In Chapters 2 through 5, we provide an overview of the theory of Bayesian methods. The depth and scope of that overview are subordinated to the methodological requirements of the Bayesian applications discussed in later chapters and, therefore, in certain instances lacks the theoretical rigor that one would expect to find in a purely statistical discussion of the topic. In Chapters 6 and 7, we discuss the Bayesian approach to mean-variance portfolio selection and its advantages over the frequentist approach.
We introduce a general framework for reflecting degrees of belief in an asset pricing model when selecting the optimal portfolio. We close Chapter 7 with a description of Bayesian model averaging, which allows the decision maker to combine conclusions based on several competing quantitative models. Chapter 8 discusses an emblematic application of Bayesian methods to portfolio selection—the Black-Litterman model.
We then show how the Black-Litterman framework can be extended to active portfolio selection and how trading strategies can be incorporated into it. The focus of Chapter 9 is market efficiency and predictability. We analyze and illustrate the computation of measures of market inefficiency. Then, we go on to describe the way predictability influences optimal portfolio selection. We base that discussion on a Bayesian vector autoregressive VAR framework.
Chapters 10, 11, and 12 deal with volatility modeling. We devote Chapter 10 to an overview of volatility modeling. We introduce the two types of volatility models—autoregressive conditionally heteroskedastic ARCH -type models and stochastic volatility SV models—and discuss some of their important characteristics, along with issues of estimation Introduction 5 within the boundaries of frequentist statistics.
Our focus is on the various numerical methods that could be used in Bayesian estimation. In Chapter 13, we deal with advanced techniques for model selection, notably, recognizing nonnormality of stock returns. We then go on to discuss an extension of the Black-Litterman framework that, in particular, employs minimization of the conditional value-at-risk CVaR.
In Appendix A of that chapter, we present an overview of risk measures that are alternatives to the standard deviation, such as value-at-risk VaR and CVaR. Chapter 14 is devoted to multifactor models of stock returns.
We discuss risk attribution in both an analytical and a numerical setting and examine how the multifactor framework provides a natural setting for a coherent portfolio selection and risk management approach. This mechanism lies at the heart of the Bayesian framework. A Bayesian decision maker learns by revising beliefs in light of the new data that become available. From the Bayesian point of view, probabilities are interpreted as degrees of belief. Therefore, the Bayesian learning process consists of revising of probabilities.
In this chapter, we present some of the basic principles of Bayesian analysis. Any analysis of these returns, beyond a very basic one, would require that we make an educated guess about propose a process that might have generated these return data.
Obviously, central to that goal is our ability to summarize the information contained in the data.