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| modeling financial time series with s plus: Analysis of Financial Time Series Ruey S. Tsay, 2010-08-30 This book provides a broad, mature, and systematic introduction to current financial econometric models and their applications to modeling and prediction of financial time series data. It utilizes real-world examples and real financial data throughout the book to apply the models and methods described. The author begins with basic characteristics of financial time series data before covering three main topics: Analysis and application of univariate financial time series The return series of multiple assets Bayesian inference in finance methods Key features of the new edition include additional coverage of modern day topics such as arbitrage, pair trading, realized volatility, and credit risk modeling; a smooth transition from S-Plus to R; and expanded empirical financial data sets. The overall objective of the book is to provide some knowledge of financial time series, introduce some statistical tools useful for analyzing these series and gain experience in financial applications of various econometric methods. |
| modeling financial time series with s plus: Modeling Financial Time Series with S-PLUS Eric Zivot, Jiahui Wang, 2013-11-11 The field of financial econometrics has exploded over the last decade This book represents an integration of theory, methods, and examples using the S-PLUS statistical modeling language and the S+FinMetrics module to facilitate the practice of financial econometrics. This is the first book to show the power of S-PLUS for the analysis of time series data. It is written for researchers and practitioners in the finance industry, academic researchers in economics and finance, and advanced MBA and graduate students in economics and finance. Readers are assumed to have a basic knowledge of S-PLUS and a solid grounding in basic statistics and time series concepts. This Second Edition is updated to cover S+FinMetrics 2.0 and includes new chapters on copulas, nonlinear regime switching models, continuous-time financial models, generalized method of moments, semi-nonparametric conditional density models, and the efficient method of moments. Eric Zivot is an associate professor and Gary Waterman Distinguished Scholar in the Economics Department, and adjunct associate professor of finance in the Business School at the University of Washington. He regularly teaches courses on econometric theory, financial econometrics and time series econometrics, and is the recipient of the Henry T. Buechel Award for Outstanding Teaching. He is an associate editor of Studies in Nonlinear Dynamics and Econometrics. He has published papers in the leading econometrics journals, including Econometrica, Econometric Theory, the Journal of Business and Economic Statistics, Journal of Econometrics, and the Review of Economics and Statistics. Jiahui Wang is an employee of Ronin Capital LLC. He received a Ph.D. in Economics from the University of Washington in 1997. He has published in leading econometrics journals such as Econometrica and Journal of Business and Economic Statistics, and is the Principal Investigator of National Science Foundation SBIR grants. In 2002 Dr. Wang was selected as one of the 2000 Outstanding Scholars of the 21st Century by International Biographical Centre. |
| modeling financial time series with s plus: Analysis of Financial Time Series Ruey S. Tsay, 2016 |
| modeling financial time series with s plus: Modeling Financial Time Series with S-PLUS® Eric Zivot, Jiahui Wang, 2010-11-16 This book represents an integration of theory, methods, and examples using the S-PLUS statistical modeling language and the S+FinMetrics module to facilitate the practice of financial econometrics. It is the first book to show the power of S-PLUS for the analysis of time series data. It is written for researchers and practitioners in the finance industry, academic researchers in economics and finance, and advanced MBA and graduate students in economics and finance. Readers are assumed to have a basic knowledge of S-PLUS and a solid grounding in basic statistics and time series concepts. This edition covers S+FinMetrics 2.0 and includes new chapters. |
| modeling financial time series with s plus: Financial Modeling and Valuation Paul Pignataro, 2013-07-10 Written by the Founder and CEO of the prestigious New York School of Finance, this book schools you in the fundamental tools for accurately assessing the soundness of a stock investment. Built around a full-length case study of Wal-Mart, it shows you how to perform an in-depth analysis of that company's financial standing, walking you through all the steps of developing a sophisticated financial model as done by professional Wall Street analysts. You will construct a full scale financial model and valuation step-by-step as you page through the book. When we ran this analysis in January of 2012, we estimated the stock was undervalued. Since the first run of the analysis, the stock has increased 35 percent. Re-evaluating Wal-Mart 9months later, we will step through the techniques utilized by Wall Street analysts to build models on and properly value business entities. Step-by-step financial modeling - taught using downloadable Wall Street models, you will construct the model step by step as you page through the book. Hot keys and explicit Excel instructions aid even the novice excel modeler. Model built complete with Income Statement, Cash Flow Statement, Balance Sheet, Balance Sheet Balancing Techniques, Depreciation Schedule (complete with accelerating depreciation and deferring taxes), working capital schedule, debt schedule, handling circular references, and automatic debt pay downs. Illustrative concepts including detailing model flows help aid in conceptual understanding. Concepts are reiterated and honed, perfect for a novice yet detailed enough for a professional. Model built direct from Wal-Mart public filings, searching through notes, performing research, and illustrating techniques to formulate projections. Includes in-depth coverage of valuation techniques commonly used by Wall Street professionals. Illustrative comparable company analyses - built the right way, direct from historical financials, calculating LTM (Last Twelve Month) data, calendarization, and properly smoothing EBITDA and Net Income. Precedent transactions analysis - detailing how to extract proper metrics from relevant proxy statements Discounted cash flow analysis - simplifying and illustrating how a DCF is utilized, how unlevered free cash flow is derived, and the meaning of weighted average cost of capital (WACC) Step-by-step we will come up with a valuation on Wal-Mart Chapter end questions, practice models, additional case studies and common interview questions (found in the companion website) help solidify the techniques honed in the book; ideal for universities or business students looking to break into the investment banking field. |
| modeling financial time series with s plus: Time Series Analysis and Its Applications Robert H. Shumway, David S. Stoffer, 2013-03-14 The goals of this book are to develop an appreciation for the richness and versatility of modern time series analysis as a tool for analyzing data, and still maintain a commitment to theoretical integrity, as exemplified by the seminal works of Brillinger (1981) and Hannan (1970) and the texts by Brockwell and Davis (1991) and Fuller (1995). The advent of more powerful computing, es pecially in the last three years, has provided both real data and new software that can take one considerably beyond the fitting of·simple time domain mod els, such as have been elegantly described in the landmark work of Box and Jenkins (1970). The present book is designed to be useful as a text for courses in time series on several different levels and as a reference work for practition ers facing the analysis of time-correlated data in the physical, biological, and social sciences. We believe the book will be useful as a text at both the undergraduate and graduate levels. An undergraduate course can be accessible to students with a background in regression analysis and might include Sections 1. 1-1. 8, 2. 1-2. 9, and 3. 1-3. 8. Similar courses have been taught at the University of California (Berkeley and Davis) in the past using the earlier book on applied time series analysis by Shumway (1988). Such a course is taken by undergraduate students in mathematics, economics, and statistics and attracts graduate students from the agricultural, biological, and environmental sciences. |
| modeling financial time series with s plus: Time Series Ngai Hang Chan, 2011-01-25 A new edition of the comprehensive, hands-on guide to financial time series, now featuring S-Plus® and R software Time Series: Applications to Finance with R and S-Plus®, Second Edition is designed to present an in-depth introduction to the conceptual underpinnings and modern ideas of time series analysis. Utilizing interesting, real-world applications and the latest software packages, this book successfully helps readers grasp the technical and conceptual manner of the topic in order to gain a deeper understanding of the ever-changing dynamics of the financial world. With balanced coverage of both theory and applications, this Second Edition includes new content to accurately reflect the current state-of-the-art nature of financial time series analysis. A new chapter on Markov Chain Monte Carlo presents Bayesian methods for time series with coverage of Metropolis-Hastings algorithm, Gibbs sampling, and a case study that explores the relevance of these techniques for understanding activity in the Dow Jones Industrial Average. The author also supplies a new presentation of statistical arbitrage that includes discussion of pairs trading and cointegration. In addition to standard topics such as forecasting and spectral analysis, real-world financial examples are used to illustrate recent developments in nonstandard techniques, including: Nonstationarity Heteroscedasticity Multivariate time series State space modeling and stochastic volatility Multivariate GARCH Cointegration and common trends The book's succinct and focused organization allows readers to grasp the important ideas of time series. All examples are systematically illustrated with S-Plus® and R software, highlighting the relevance of time series in financial applications. End-of-chapter exercises and selected solutions allow readers to test their comprehension of the presented material, and a related Web site features additional data sets. Time Series: Applications to Finance with R and S-Plus® is an excellent book for courses on financial time series at the upper-undergraduate and beginning graduate levels. It also serves as an indispensible resource for practitioners working with financial data in the fields of statistics, economics, business, and risk management. |
| modeling financial time series with s plus: An Introduction to Analysis of Financial Data with R Ruey S. Tsay, 2014-08-21 A complete set of statistical tools for beginning financial analysts from a leading authority Written by one of the leading experts on the topic, An Introduction to Analysis of Financial Data with R explores basic concepts of visualization of financial data. Through a fundamental balance between theory and applications, the book supplies readers with an accessible approach to financial econometric models and their applications to real-world empirical research. The author supplies a hands-on introduction to the analysis of financial data using the freely available R software package and case studies to illustrate actual implementations of the discussed methods. The book begins with the basics of financial data, discussing their summary statistics and related visualization methods. Subsequent chapters explore basic time series analysis and simple econometric models for business, finance, and economics as well as related topics including: Linear time series analysis, with coverage of exponential smoothing for forecasting and methods for model comparison Different approaches to calculating asset volatility and various volatility models High-frequency financial data and simple models for price changes, trading intensity, and realized volatility Quantitative methods for risk management, including value at risk and conditional value at risk Econometric and statistical methods for risk assessment based on extreme value theory and quantile regression Throughout the book, the visual nature of the topic is showcased through graphical representations in R, and two detailed case studies demonstrate the relevance of statistics in finance. A related website features additional data sets and R scripts so readers can create their own simulations and test their comprehension of the presented techniques. An Introduction to Analysis of Financial Data with R is an excellent book for introductory courses on time series and business statistics at the upper-undergraduate and graduate level. The book is also an excellent resource for researchers and practitioners in the fields of business, finance, and economics who would like to enhance their understanding of financial data and today's financial markets. |
| modeling financial time series with s plus: Statistical Models and Methods for Financial Markets Tze Leung Lai, Haipeng Xing, 2008-09-08 The idea of writing this bookarosein 2000when the ?rst author wasassigned to teach the required course STATS 240 (Statistical Methods in Finance) in the new M. S. program in ?nancial mathematics at Stanford, which is an interdisciplinary program that aims to provide a master’s-level education in applied mathematics, statistics, computing, ?nance, and economics. Students in the programhad di?erent backgroundsin statistics. Some had only taken a basic course in statistical inference, while others had taken a broad spectrum of M. S. - and Ph. D. -level statistics courses. On the other hand, all of them had already taken required core courses in investment theory and derivative pricing, and STATS 240 was supposed to link the theory and pricing formulas to real-world data and pricing or investment strategies. Besides students in theprogram,thecoursealso attractedmanystudentsfromother departments in the university, further increasing the heterogeneity of students, as many of them had a strong background in mathematical and statistical modeling from the mathematical, physical, and engineering sciences but no previous experience in ?nance. To address the diversity in background but common strong interest in the subject and in a potential career as a “quant” in the ?nancialindustry,thecoursematerialwascarefullychosennotonlytopresent basic statistical methods of importance to quantitative ?nance but also to summarize domain knowledge in ?nance and show how it can be combined with statistical modeling in ?nancial analysis and decision making. The course material evolved over the years, especially after the second author helped as the head TA during the years 2004 and 2005. |
| modeling financial time series with s plus: New Developments in Classification and Data Analysis Maurizio Vichi, Paola Monari, Stefania Mignani, Angela Montanari, 2006-05-06 This volume contains revised versions of selected papers presented during the biannual meeting of the Classification and Data Analysis Group of SocietA Italiana di Statistica, which was held in Bologna, September 22-24, 2003. The scientific program of the conference included 80 contributed papers. Moreover it was possible to recruit six internationally renowned invited spe- ers for plenary talks on their current research works regarding the core topics of IFCS (the International Federation of Classification Societies) and Wo- gang Gaul and the colleagues of the GfKl organized a session. Thus, the conference provided a large number of scientists and experts from home and abroad with an attractive forum for discussions and mutual exchange of knowledge. The talks in the different sessions focused on methodological developments in supervised and unsupervised classification and in data analysis, also p- viding relevant contributions in the context of applications. This suggested the presentation of the 43 selected papers in three parts as follows: CLASSIFICATION AND CLUSTERING Non parametric classification Clustering and dissimilarities MULTIVARIATE STATISTICS AND DATA ANALYSIS APPLIED MULTIVARIATE STATISTICS Environmental data Microarray data Behavioural and text data Financial data We wish to express our gratitude to the authors whose enthusiastic p- ticipation made the meeting possible. We are very grateful to the reviewers for the time spent in their professional reviewing work. We would also like to extend our thanks to the chairpersons and discussants of the sessions: their comments and suggestions proved very stimulating both for the authors and the audience. |
| modeling financial time series with s plus: Multivariate Time Series Analysis Ruey S. Tsay, 2013-11-11 An accessible guide to the multivariate time series tools used in numerous real-world applications Multivariate Time Series Analysis: With R and Financial Applications is the much anticipated sequel coming from one of the most influential and prominent experts on the topic of time series. Through a fundamental balance of theory and methodology, the book supplies readers with a comprehensible approach to financial econometric models and their applications to real-world empirical research. Differing from the traditional approach to multivariate time series, the book focuses on reader comprehension by emphasizing structural specification, which results in simplified parsimonious VAR MA modeling. Multivariate Time Series Analysis: With R and Financial Applications utilizes the freely available R software package to explore complex data and illustrate related computation and analyses. Featuring the techniques and methodology of multivariate linear time series, stationary VAR models, VAR MA time series and models, unitroot process, factor models, and factor-augmented VAR models, the book includes: • Over 300 examples and exercises to reinforce the presented content • User-friendly R subroutines and research presented throughout to demonstrate modern applications • Numerous datasets and subroutines to provide readers with a deeper understanding of the material Multivariate Time Series Analysis is an ideal textbook for graduate-level courses on time series and quantitative finance and upper-undergraduate level statistics courses in time series. The book is also an indispensable reference for researchers and practitioners in business, finance, and econometrics. |
| modeling financial time series with s plus: Forecasting: principles and practice Rob J Hyndman, George Athanasopoulos, 2018-05-08 Forecasting is required in many situations. Stocking an inventory may require forecasts of demand months in advance. Telecommunication routing requires traffic forecasts a few minutes ahead. Whatever the circumstances or time horizons involved, forecasting is an important aid in effective and efficient planning. This textbook provides a comprehensive introduction to forecasting methods and presents enough information about each method for readers to use them sensibly. |
| modeling financial time series with s plus: Analyzing Financial Data and Implementing Financial Models Using R Clifford S. Ang, 2021-06-23 This advanced undergraduate/graduate textbook teaches students in finance and economics how to use R to analyse financial data and implement financial models. It demonstrates how to take publically available data and manipulate, implement models and generate outputs typical for particular analyses. A wide spectrum of timely and practical issues in financial modelling are covered including return and risk measurement, portfolio management, option pricing and fixed income analysis. This new edition updates and expands upon the existing material providing updated examples and new chapters on equities, simulation and trading strategies, including machine learnings techniques. Select data sets are available online. |
| modeling financial time series with s plus: New Methods in Financial Modeling Houston H. Stokes, Hugh Neuburger, 1998-02-18 The authors present a number of financial market studies that have as their general theme, the econometric testing of the underlying econometric assumptions of a number of financial models. More than 30 years of financial market research has convinced the authors that not enough attention has been paid to whether the estimated model is appropriate or, most importantly, whether the estimation technique is suitable for the problem under study. For many years linear models have been assumed with little or no testing of alternative specification. The result has been models that force linearity assumptions on what clearly are nonlinear processes. Another major assumption of much financial research constrains the coefficients to be stable over time. This critical assumption has been attacked by Lucas (1976) on the grounds that when economic policy changes, the coefficients of macroeconomics models change. If this occurs, any policy forecasts of these models will be flawed. In financial modeling, omitted (possibly non-quantifiable) variables will bias coefficients. While it may be possible to model some financial variables for extended periods, in other periods the underlying models may either exhibit nonlinearity or show changes in linear models. The authors research indicates that tests for changes in linear models, such as recursive residual analysis, or tests for episodic nonlinearity can be used to signal changes in the underlying structure of the market. The book begins with a brief review of basic linear time series techniques that include autoregressive integrated moving average models (ARIMA), vector autoregressive models (VAR), and models form the ARCH/GARCH class. While the ARIMA and VAR approach models the first moment of a series, models of the ARCH/GARCH class model both the first moment and second moment which is interpreted as conditional or explained volatility of a series. Recent work on nonlinearity detection has questioned the appropriateness of these essentially linear approaches. A number of such tests are shown and applied for the complete series and a subsets of the series. A major finding is that the structure of the series may change over time. Within the time frame of a study, there may be periods of episodic nonlinearity, episodic ARCH and episodic nonstationarity. Measures are developed to measure and relate these events both geographically and with mathematical models. This book will be of interest to applied finance researchers and to market participants. |
| modeling financial time series with s plus: SAS for Forecasting Time Series, Third Edition John C. Brocklebank, Ph.D., David A. Dickey, Ph.D., Bong Choi, 2018-03-14 To use statistical methods and SAS applications to forecast the future values of data taken over time, you need only follow this thoroughly updated classic on the subject. With this third edition of SAS for Forecasting Time Series, intermediate-to-advanced SAS users—such as statisticians, economists, and data scientists—can now match the most sophisticated forecasting methods to the most current SAS applications. Starting with fundamentals, this new edition presents methods for modeling both univariate and multivariate data taken over time. From the well-known ARIMA models to unobserved components, methods that span the range from simple to complex are discussed and illustrated. Many of the newer methods are variations on the basic ARIMA structures. Completely updated, this new edition includes fresh, interesting business situations and data sets, and new sections on these up-to-date statistical methods: ARIMA models Vector autoregressive models Exponential smoothing models Unobserved component and state-space models Seasonal adjustment Spectral analysis Focusing on application, this guide teaches a wide range of forecasting techniques by example. The examples provide the statistical underpinnings necessary to put the methods into practice. The following up-to-date SAS applications are covered in this edition: The ARIMA procedure The AUTOREG procedure The VARMAX procedure The ESM procedure The UCM and SSM procedures The X13 procedure The SPECTRA procedure SAS Forecast Studio Each SAS application is presented with explanation of its strengths, weaknesses, and best uses. Even users of automated forecasting systems will benefit from this knowledge of what is done and why. Moreover, the accompanying examples can serve as templates that you easily adjust to fit your specific forecasting needs. This book is part of the SAS Press program. |
| modeling financial time series with s plus: The Econometric Modelling of Financial Time Series Terence C. Mills, 1995-04-20 This book provides detailed coverage of the variety of models that are currently being used in the empirical analysis of financial markets. Covering bond equity and foreign exchange markets, it is aimed at scholars and practitioners wishing to acquire an understanding of the latest research techniques and findings in the field, and also at graduate students wishing to research in financial markets. The book is divided into two main sections, covering univariate models, and econometric and multivariate techniques respectively. In the former, the areas covered include linear and non-linear stochastic models, random walk, unit root tests, GARCH models, deterministic chaos, trend reversion, and bubbles. In the latter, regression models, time varying parameter models, the Kalman filter, vector autoregressions, present value models, and cointegration are discussed. |
| modeling financial time series with s plus: Building Financial Models John S. Tjia, 2004-01-10 Financial modeling is essential for determining a company's current value and projecting its future performance, yet few books explain how to build models for accurately interpreting financial statements. Building Financial Models is the first book to correct this oversight, unveiling a step-by-step process for creating a core model and then customizing it for companies in virtually any industry. Covering every aspect of building a financial model, it provides a broad understanding of the actual mechanics of models, as well as their foundational accounting and finance concepts. |
| modeling financial time series with s plus: Introduction to Time Series and Forecasting Peter J. Brockwell, Richard A. Davis, 2013-03-14 Some of the key mathematical results are stated without proof in order to make the underlying theory acccessible to a wider audience. The book assumes a knowledge only of basic calculus, matrix algebra, and elementary statistics. The emphasis is on methods and the analysis of data sets. The logic and tools of model-building for stationary and non-stationary time series are developed in detail and numerous exercises, many of which make use of the included computer package, provide the reader with ample opportunity to develop skills in this area. The core of the book covers stationary processes, ARMA and ARIMA processes, multivariate time series and state-space models, with an optional chapter on spectral analysis. Additional topics include harmonic regression, the Burg and Hannan-Rissanen algorithms, unit roots, regression with ARMA errors, structural models, the EM algorithm, generalized state-space models with applications to time series of count data, exponential smoothing, the Holt-Winters and ARAR forecasting algorithms, transfer function models and intervention analysis. Brief introducitons are also given to cointegration and to non-linear, continuous-time and long-memory models. The time series package included in the back of the book is a slightly modified version of the package ITSM, published separately as ITSM for Windows, by Springer-Verlag, 1994. It does not handle such large data sets as ITSM for Windows, but like the latter, runs on IBM-PC compatible computers under either DOS or Windows (version 3.1 or later). The programs are all menu-driven so that the reader can immediately apply the techniques in the book to time series data, with a minimal investment of time in the computational and algorithmic aspects of the analysis. |
| modeling financial time series with s plus: Real Estate Modelling and Forecasting Chris Brooks, Sotiris Tsolacos, 2010-04-15 As real estate forms a significant part of the asset portfolios of most investors and lenders, it is crucial that analysts and institutions employ sound techniques for modelling and forecasting the performance of real estate assets. Assuming no prior knowledge of econometrics, this book introduces and explains a broad range of quantitative techniques that are relevant for the analysis of real estate data. It includes numerous detailed examples, giving readers the confidence they need to estimate and interpret their own models. Throughout, the book emphasises how various statistical techniques may be used for forecasting and shows how forecasts can be evaluated. Written by a highly experienced teacher of econometrics and a senior real estate professional, both of whom are widely known for their research, Real Estate Modelling and Forecasting is the first book to provide a practical introduction to the econometric analysis of real estate for students and practitioners. |
| modeling financial time series with s plus: Introduction to Time Series Analysis and Forecasting Douglas C. Montgomery, Cheryl L. Jennings, Murat Kulahci, 2015-04-21 Praise for the First Edition ...[t]he book is great for readers who need to apply the methods and models presented but have little background in mathematics and statistics. -MAA Reviews Thoroughly updated throughout, Introduction to Time Series Analysis and Forecasting, Second Edition presents the underlying theories of time series analysis that are needed to analyze time-oriented data and construct real-world short- to medium-term statistical forecasts. Authored by highly-experienced academics and professionals in engineering statistics, the Second Edition features discussions on both popular and modern time series methodologies as well as an introduction to Bayesian methods in forecasting. Introduction to Time Series Analysis and Forecasting, Second Edition also includes: Over 300 exercises from diverse disciplines including health care, environmental studies, engineering, and finance More than 50 programming algorithms using JMP®, SAS®, and R that illustrate the theory and practicality of forecasting techniques in the context of time-oriented data New material on frequency domain and spatial temporal data analysis Expanded coverage of the variogram and spectrum with applications as well as transfer and intervention model functions A supplementary website featuring PowerPoint® slides, data sets, and select solutions to the problems Introduction to Time Series Analysis and Forecasting, Second Edition is an ideal textbook upper-undergraduate and graduate-levels courses in forecasting and time series. The book is also an excellent reference for practitioners and researchers who need to model and analyze time series data to generate forecasts. |
| modeling financial time series with s plus: Nonlinear Time Series Randal Douc, Eric Moulines, David Stoffer, 2014-01-06 Designed for researchers and students, Nonlinear Times Series: Theory, Methods and Applications with R Examples familiarizes readers with the principles behind nonlinear time series models—without overwhelming them with difficult mathematical developments. By focusing on basic principles and theory, the authors give readers the background required to craft their own stochastic models, numerical methods, and software. They will also be able to assess the advantages and disadvantages of different approaches, and thus be able to choose the right methods for their purposes. The first part can be seen as a crash course on classical time series, with a special emphasis on linear state space models and detailed coverage of random coefficient autoregressions, both ARCH and GARCH models. The second part introduces Markov chains, discussing stability, the existence of a stationary distribution, ergodicity, limit theorems, and statistical inference. The book concludes with a self-contained account on nonlinear state space and sequential Monte Carlo methods. An elementary introduction to nonlinear state space modeling and sequential Monte Carlo, this section touches on current topics, from the theory of statistical inference to advanced computational methods. The book can be used as a support to an advanced course on these methods, or an introduction to this field before studying more specialized texts. Several chapters highlight recent developments such as explicit rate of convergence of Markov chains and sequential Monte Carlo techniques. And while the chapters are organized in a logical progression, the three parts can be studied independently. Statistics is not a spectator sport, so the book contains more than 200 exercises to challenge readers. These problems strengthen intellectual muscles strained by the introduction of new theory and go on to extend the theory in significant ways. The book helps readers hone their skills in nonlinear time series analysis and their applications. |
| modeling financial time series with s plus: Volatility and Correlation Riccardo Rebonato, 2005-07-08 In Volatility and Correlation 2nd edition: The Perfect Hedger and the Fox, Rebonato looks at derivatives pricing from the angle of volatility and correlation. With both practical and theoretical applications, this is a thorough update of the highly successful Volatility & Correlation – with over 80% new or fully reworked material and is a must have both for practitioners and for students. The new and updated material includes a critical examination of the ‘perfect-replication’ approach to derivatives pricing, with special attention given to exotic options; a thorough analysis of the role of quadratic variation in derivatives pricing and hedging; a discussion of the informational efficiency of markets in commonly-used calibration and hedging practices. Treatment of new models including Variance Gamma, displaced diffusion, stochastic volatility for interest-rate smiles and equity/FX options. The book is split into four parts. Part I deals with a Black world without smiles, sets out the author’s ‘philosophical’ approach and covers deterministic volatility. Part II looks at smiles in equity and FX worlds. It begins with a review of relevant empirical information about smiles, and provides coverage of local-stochastic-volatility, general-stochastic-volatility, jump-diffusion and Variance-Gamma processes. Part II concludes with an important chapter that discusses if and to what extent one can dispense with an explicit specification of a model, and can directly prescribe the dynamics of the smile surface. Part III focusses on interest rates when the volatility is deterministic. Part IV extends this setting in order to account for smiles in a financially motivated and computationally tractable manner. In this final part the author deals with CEV processes, with diffusive stochastic volatility and with Markov-chain processes. Praise for the First Edition: “In this book, Dr Rebonato brings his penetrating eye to bear on option pricing and hedging.... The book is a must-read for those who already know the basics of options and are looking for an edge in applying the more sophisticated approaches that have recently been developed.” —Professor Ian Cooper, London Business School “Volatility and correlation are at the very core of all option pricing and hedging. In this book, Riccardo Rebonato presents the subject in his characteristically elegant and simple fashion...A rare combination of intellectual insight and practical common sense.” —Anthony Neuberger, London Business School |
| modeling financial time series with s plus: Multiple Time Series Modeling Using the SAS VARMAX Procedure Anders Milhoj, 2016-01-11 Aimed at econometricians who have completed at least one course in time series modeling, this comprehensive book will teach you the time series analytical possibilities that SAS offers today. -- |
| modeling financial time series with s plus: Python for Finance Yves J. Hilpisch, 2018-12-05 The financial industry has recently adopted Python at a tremendous rate, with some of the largest investment banks and hedge funds using it to build core trading and risk management systems. Updated for Python 3, the second edition of this hands-on book helps you get started with the language, guiding developers and quantitative analysts through Python libraries and tools for building financial applications and interactive financial analytics. Using practical examples throughout the book, author Yves Hilpisch also shows you how to develop a full-fledged framework for Monte Carlo simulation-based derivatives and risk analytics, based on a large, realistic case study. Much of the book uses interactive IPython Notebooks. |
| modeling financial time series with s plus: Financial Forecasting, Analysis, and Modelling Michael Samonas, 2015-01-20 Risk analysis has become critical to modern financial planning Financial Forecasting, Analysis and Modelling provides a complete framework of long-term financial forecasts in a practical and accessible way, helping finance professionals include uncertainty in their planning and budgeting process. With thorough coverage of financial statement simulation models and clear, concise implementation instruction, this book guides readers step-by-step through the entire projection plan development process. Readers learn the tools, techniques, and special considerations that increase accuracy and smooth the workflow, and develop a more robust analysis process that improves financial strategy. The companion website provides a complete operational model that can be customised to develop financial projections or a range of other key financial measures, giving readers an immediately-applicable tool to facilitate effective decision-making. In the aftermath of the recent financial crisis, the need for experienced financial modelling professionals has steadily increased as organisations rush to adjust to economic volatility and uncertainty. This book provides the deeper level of understanding needed to develop stronger financial planning, with techniques tailored to real-life situations. Develop long-term projection plans using Excel Use appropriate models to develop a more proactive strategy Apply risk and uncertainty projections more accurately Master the Excel Scenario Manager, Sensitivity Analysis, Monte Carlo Simulation, and more Risk plays a larger role in financial planning than ever before, and possible outcomes must be measured before decisions are made. Uncertainty has become a critical component in financial planning, and accuracy demands it be used appropriately. With special focus on uncertainty in modelling and planning, Financial Forecasting, Analysis and Modelling is a comprehensive guide to the mechanics of modern finance. |
| modeling financial time series with s plus: The Way of the Wall Street Warrior Dave Liu, 2021-11-16 A Wall Street Insider's Guide to getting ahead in any highly competitive industry Dave learned how to win in investment banking the hard way. Now he is able to share tools that make it easier for budding bankers and other professionals to succeed. —Frank Baxter, Former CEO of Jefferies and U.S. Ambassador to Uruguay A must-read for anyone starting their career in Corporate America. Dave's book shares witty and valuable insights that would take a lifetime to learn otherwise. I highly recommend that anyone interested in advancing their career read this book. —Harry Nelis, Partner of Accel and former Goldman Sachs banker In The Way of the Wall Street Warrior, 25-year veteran investment banker and finance professional, Dave Liu, delivers a humorous and irreverent insider’s guide to thriving on Wall Street or Main Street. Liu offers hilarious and insightful advice on everything from landing an interview to self-promotion to getting paid. In this book, you’ll discover: How to get that job you always wanted Why career longevity and “success” comes from doing the least amount of work for the most pay How mastering cognitive biases and understanding human nature can help you win the rat race How to make people think you’re the smartest person in the room without actually being the smartest person in the room How to make sure you do everything in your power to get paid well (or at least not get screwed too badly) How to turn any weakness or liability into an asset to further your career |
| modeling financial time series with s plus: Non-Linear Time Series Models in Empirical Finance Philip Hans Franses, Dick van Dijk, 2000-07-27 This 2000 volume reviews non-linear time series models, and their applications to financial markets. |
| modeling financial time series with s plus: Financial Modeling Simon Benninga, 2008-01-01 Too often, finance courses stop short of making a connection between textbook financeand the problems of real-world business. Financial Modeling bridges this gapbetween theory and practice by providing a nuts-and-bolts guide to solving common financial modelswith spreadsheets. Simon Benninga takes the reader step by step through each model, showing how itcan be solved using Microsoft Excel. The long-awaited third edition of this standard text maintainsthe cookbook features and Excel dependence that have made the first and second editionsso popular. It also offers significant new material, with new chapters covering such topics as bankvaluation, the Black-Litterman approach to portfolio optimization, Monte Carlo methods and theirapplications to option pricing, and using array functions and formulas. Other chapters, includingthose on basic financial calculations, portfolio models, calculating the variance-covariance matrix,and generating random numbers, have been revised, with many offering substantially new and improvedmaterial. Other areas covered include financial statement modeling, leasing, standard portfolioproblems, value at risk (VaR), real options, duration and immunization, and term structure modeling.Technical chapters treat such topics as data tables, matrices, the Gauss-Seidel method, and tips forusing Excel. The last section of the text covers the Visual Basic for Applications (VBA) techniquesneeded for the book. The accompanying CD contains Excel worksheets and solutions to end-of-chapterexercises. |
| modeling financial time series with s plus: Simulation Techniques in Financial Risk Management Ngai Hang Chan, Hoi Ying Wong, 2015-04-13 Praise for the First Edition “…a nice, self-contained introduction to simulation and computational techniques in finance…” – Mathematical Reviews Simulation Techniques in Financial Risk Management, Second Edition takes a unique approach to the field of simulations by focusing on techniques necessary in the fields of finance and risk management. Thoroughly updated, the new edition expands on several key topics in these areas and presents many of the recent innovations in simulations and risk management, such as advanced option pricing models beyond the Black–Scholes paradigm, interest rate models, MCMC methods including stochastic volatility models simulations, model assets and model-free properties, jump diffusion, and state space modeling. The Second Edition also features: Updates to primary software used throughout the book, Microsoft Office® Excel® VBA New topical coverage on multiple assets, model-free properties, and related models More than 300 exercises at the end of each chapter, with select answers in the appendix, to help readers apply new concepts and test their understanding Extensive use of examples to illustrate how to use simulation techniques in risk management Practical case studies, such as the pricing of exotic options; simulations of Greeks in hedging; and the use of Bayesian ideas to assess the impact of jumps, so readers can reproduce the results of the studies A related website with additional solutions to problems within the book as well as Excel VBA and S-Plus computer code for many of the examples within the book Simulation Techniques in Financial Risk Management, Second Edition is an invaluable resource for risk managers in the financial and actuarial industries as well as a useful reference for readers interested in learning how to better gauge risk and make more informed decisions. The book is also ideal for upper-undergraduate and graduate-level courses in simulation and risk management. |
| modeling financial time series with s plus: Time Series Robert Shumway, David Stoffer, 2019 The goals of this text are to develop the skills and an appreciation for the richness and versatility of modern time series analysis as a tool for analyzing dependent data. A useful feature of the presentation is the inclusion of nontrivial data sets illustrating the richness of potential applications to problems in the biological, physical, and social sciences as well as medicine. The text presents a balanced and comprehensive treatment of both time and frequency domain methods with an emphasis on data analysis. Numerous examples using data illustrate solutions to problems such as discovering natural and anthropogenic climate change, evaluating pain perception experiments using functional magnetic resonance imaging, and the analysis of economic and financial problems. The text can be used for a one semester/quarter introductory time series course where the prerequisites are an understanding of linear regression, basic calculus-based probability skills, and math skills at the high school level. All of the numerical examples use the R statistical package without assuming that the reader has previously used the software. Robert H. Shumwayis Professor Emeritus of Statistics, University of California, Davis. He is a Fellow of the American Statistical Association and has won the American Statistical Association Award for Outstanding Statistical Application. He is the author of numerous texts and served on editorial boards such as the Journal of Forecastingand the Journal of the American Statistical Association. David S. Stofferis Professor of Statistics, University of Pittsburgh. He is a Fellow of the American Statistical Association and has won the American Statistical Association Award for Outstanding Statistical Application. He is currently on the editorial boards of the Journal of Forecasting, the Annals of Statistical Mathematics, and the Journal of Time Series Analysis. He served as a Program Director in the Division of Mathematical Sciences at the National Science Foundation and as an Associate Editor for the Journal of the American Statistical Associationand the Journal of Business & Economic Statistics. h school level. All of the numerical examples use the R statistical package without assuming that the reader has previously used the software. Robert H. Shumwayis Professor Emeritus of Statistics, University of California, Davis. He is a Fellow of the American Statistical Association and has won the American Statistical Association Award for Outstanding Statistical Application. He is the author of numerous texts and served on editorial boards such as the Journal of Forecastingand the Journal of the American Statistical Association. David S. Stofferis Professor of Statistics, University of Pittsburgh. He is a Fellow of the American Statistical Association and has won the American Statistical Association Award for Outstanding Statistical Application. He is currently on the editorial boards of the Journal of Forecasting, the Annals of Statistical Mathematics, and the Journal of Time Series Analysis. He served as a Program Director in the Division of Mathematical Sciences at the National Science Foundation and as an Associate Editor for the Journal of the American Statistical Associationand the Journal of Business & Economic Statistics. amp;lt;/I>, and the Journal of Time Series Analysis. He served as a Program Director in the Division of Mathematical Sciences at the National Science Foundation and as an Associate Editor for the Journal of the American Statistical Associationand the Journal of Business & Economic Statistics. |
| modeling financial time series with s plus: Financial Modeling, fifth edition Simon Benninga, Tal Mofkadi, 2022-02-01 A substantially updated new edition of the essential text on financial modeling, with revised material, new data, and implementations shown in Excel, R, and Python. Financial Modeling has become the gold-standard text in its field, an essential guide for students, researchers, and practitioners that provides the computational tools needed for modeling finance fundamentals. This fifth edition has been substantially updated but maintains the straightforward, hands-on approach, with an optimal mix of explanation and implementation, that made the previous editions so popular. Using detailed Excel spreadsheets, it explains basic and advanced models in the areas of corporate finance, portfolio management, options, and bonds. This new edition offers revised material on valuation, second-order and third-order Greeks for options, value at risk (VaR), Monte Carlo methods, and implementation in R. The examples and implementation use up-to-date and relevant data. Parts I to V cover corporate finance topics, bond and yield curve models, portfolio theory, options and derivatives, and Monte Carlo methods and their implementation in finance. Parts VI and VII treat technical topics, with part VI covering Excel and R issues and part VII (now on the book’s auxiliary website) covering Excel’s programming language, Visual Basic for Applications (VBA), and Python implementations. Knowledge of technical chapters on VBA and R is not necessary for understanding the material in the first five parts. The book is suitable for use in advanced finance classes that emphasize the need to combine modeling skills with a deeper knowledge of the underlying financial models. |
| modeling financial time series with s plus: R Cookbook Paul Teetor, 2011-03-03 With more than 200 practical recipes, this book helps you perform data analysis with R quickly and efficiently. The R language provides everything you need to do statistical work, but its structure can be difficult to master. This collection of concise, task-oriented recipes makes you productive with R immediately, with solutions ranging from basic tasks to input and output, general statistics, graphics, and linear regression. Each recipe addresses a specific problem, with a discussion that explains the solution and offers insight into how it works. If you’re a beginner, R Cookbook will help get you started. If you’re an experienced data programmer, it will jog your memory and expand your horizons. You’ll get the job done faster and learn more about R in the process. Create vectors, handle variables, and perform other basic functions Input and output data Tackle data structures such as matrices, lists, factors, and data frames Work with probability, probability distributions, and random variables Calculate statistics and confidence intervals, and perform statistical tests Create a variety of graphic displays Build statistical models with linear regressions and analysis of variance (ANOVA) Explore advanced statistical techniques, such as finding clusters in your data Wonderfully readable, R Cookbook serves not only as a solutions manual of sorts, but as a truly enjoyable way to explore the R language—one practical example at a time.—Jeffrey Ryan, software consultant and R package author |
| modeling financial time series with s plus: The Econometrics of Financial Markets John Y. Campbell, Andrew W. Lo, A. Craig MacKinlay, 1997 A landmark book on quantitative methods in financial markets for graduate students and finance professionals Recent decades have seen an extraordinary growth in the use of quantitative methods in financial markets. Finance professionals routinely use sophisticated statistical techniques in portfolio management, proprietary trading, risk management, financial consulting, and securities regulation. This graduate-level textbook is designed for PhD students, advanced MBA students, and industry professionals interested in the econometrics of financial modeling. The book covers the entire spectrum of empirical finance, including the predictability of asset returns, tests of the Random Walk Hypothesis, the microstructure of securities markets, event analysis, the Capital Asset Pricing Model and the Arbitrage Pricing Theory, the term structure of interest rates, dynamic models of economic equilibrium, and nonlinear financial models such as ARCH, neural networks, statistical fractals, and chaos theory. Each chapter develops statistical techniques within the context of a particular financial application. This exciting text contains a unique and accessible combination of theory and practice, bringing state-of-the-art statistical techniques to the forefront of financial applications. Each chapter also includes a discussion of recent empirical evidence, for example, the rejection of the Random Walk Hypothesis, as well as problems designed to help readers incorporate what they have learned into their own applications. |
| modeling financial time series with s plus: Time Series Analysis Univariate and Multivariate Methods William W. S. Wei, 2018-03-14 With its broad coverage of methodology, this comprehensive book is a useful learning and reference tool for those in applied sciences where analysis and research of time series is useful. Its plentiful examples show the operational details and purpose of a variety of univariate and multivariate time series methods. Numerous figures, tables and real-life time series data sets illustrate the models and methods useful for analyzing, modeling, and forecasting data collected sequentially in time. The text also offers a balanced treatment between theory and applications. Time Series Analysis is a thorough introduction to both time-domain and frequency-domain analyses of univariate and multivariate time series methods, with coverage of the most recently developed techniques in the field. |
| modeling financial time series with s plus: Modern Robotics Kevin M. Lynch, Frank C. Park, 2017-05-25 This introduction to robotics offers a distinct and unified perspective of the mechanics, planning and control of robots. Ideal for self-learning, or for courses, as it assumes only freshman-level physics, ordinary differential equations, linear algebra and a little bit of computing background. Modern Robotics presents the state-of-the-art, screw-theoretic techniques capturing the most salient physical features of a robot in an intuitive geometrical way. With numerous exercises at the end of each chapter, accompanying software written to reinforce the concepts in the book and video lectures aimed at changing the classroom experience, this is the go-to textbook for learning about this fascinating subject. |
| modeling financial time series with s plus: Financial Modeling Under Non-Gaussian Distributions Eric Jondeau, Ser-Huang Poon, Michael Rockinger, 2010-10-21 This book examines non-Gaussian distributions. It addresses the causes and consequences of non-normality and time dependency in both asset returns and option prices. The book is written for non-mathematicians who want to model financial market prices so the emphasis throughout is on practice. There are abundant empirical illustrations of the models and techniques described, many of which could be equally applied to other financial time series. |
| modeling financial time series with s plus: Time Series Analysis: Forecasting & Control, 3/E , 1994-09 This is a complete revision of a classic, seminal, and authoritative text that has been the model for most books on the topic written since 1970. It explores the building of stochastic (statistical) models for time series and their use in important areas of application -forecasting, model specification, estimation, and checking, transfer function modeling of dynamic relationships, modeling the effects of intervention events, and process control. |
| modeling financial time series with s plus: Mastering Financial Modeling: A Professional’s Guide to Building Financial Models in Excel Eric Soubeiga, 2013-07-26 All the precision of financial modeling--and none of the complexity Evidence-based decision making is only as good as the external evidence on which it is based. Financial models uncover potential risks on a company’s balance sheet, but the complexity of these instruments has limited their effectiveness. Now, Mastering Financial Modeling offers a simplified method for building the fast and accurate financial models serious evidencebased decision makers need. What sets this practical guide apart is its learning-on-the-job approach. Unlike other books that teach modeling in a vacuum, this superior method uses a diverse collection of case studies to convey each step of the building process. Learning on the job connects the dots between the proper Excel formulas and functions and the real-world situations where you want to use them. By learning through association, you can absorb the information quickly and have it ready to use when you need it. The book starts right off on building models--from creating a standalone cash flow model through integrating it with an income statement and balance sheet. Along the way, you will master the skill set you need to build advanced financial models. With only a basic knowledge of accounting and finance, individual investors and financial professionals alike can: Create a core model and customize it for companies in most industries Understand every working component of a financial model and what each one tells you about a company Format cells and sheets in Excel for easily repeatable modeling Written with the practitioner in mind, Mastering Financial Modeling shows you how to ensure your model is ready for real-world application by safeguarding it against modeling errors. It covers a full array of Excel's builtin auditing and testing tools and illustrates how to build customized error-checking tools of your own to catch the inaccuracies that typically fall through the cracks. Get the most out of your data with Mastering Financial Modeling. Mastering Financial Modeling brings the power of financial models down to earth and puts it in the hands of investors, bankers, and private equity professionals who don't have a passion for crunching numbers. Nowhere else can you get step-by-step instruction on building these valuable tools from an elite World Bank investment officer. Starting from the ground up, Eric Soubeiga shows you how to interpret and build financial models in Microsoft Excel that will accurately assess any company’s valuation and profit potential. Even if you have unsuccessfully tried financial modeling in the past, this book will reach you because it associates every lesson to the business world you work in daily. Chapter by chapter, you will master financial modeling, and in the end, you will: Command authority over building every aspect of a financial model Be capable of explaining the accounting and finance concepts behind the mechanics of modeling Confidently determine a company’s ability to generate cash flows for its capital investors with discounted cash flow (DCF) modeling Execute powerful spreadsheet calculations in Excel Most importantly, as a decision maker, the insight you bring to the table through your sophisticated understanding and application of financial modeling will benefit every stakeholder. See what leading professionals around the world already know--Mastering Financial Modeling is the most comprehensive guide on the market for designing, building, and implementing valuation projection models. What it does from there is up to you. |
| modeling financial time series with s plus: Time-Series Forecasting Chris Chatfield, 2001 From the author of the bestselling Analysis of Time Series, Time-Series Forecasting offers a comprehensive, up-to-date review of forecasting methods. It provides a summary of time-series modelling procedures, followed by a brief catalogue of many different time-series forecasting methods, ranging from ad-hoc methods through ARIMA and state-space modelling to multivariate methods and including recent arrivals, such as GARCH models, neural networks, and cointegrated models. The author compares the more important methods in terms of their theoretical inter-relationships and their practical merits. He also considers two other general forecasting topics that have been somewhat neglected in the literature: the computation of prediction intervals and the effect of model uncertainty on forecast accuracy. Although the search for a best method continues, it is now well established that no single method will outperform all other methods in all situations-the context is crucial. Time-Series Forecasting provides an outstanding reference source for the more generally applicable methods particularly useful to researchers and practitioners in forecasting in the areas of economics, government, industry, and commerce. |
| modeling financial time series with s plus: Advanced Modelling in Finance Using Excel and VBA Mary Jackson, Mike Staunton, 2001-06-08 Accompanying CD in pocket at the back of book. |
Modelling or modeling? - WordReference Forums
Feb 28, 2007 · In the case of modeling/modelling, this amounts to a wash, since there are two possible pronunciation of modeling by a (very) naive speller. But in most other three-syllable …
modeling (psychotherapy) - WordReference Forums
May 1, 2009 · In psychotherapy, "Modeling" is the process through which, by observing the coherence between the therapist’s words and deeds, the client vicariously learns different …
3D Modelling - WordReference Forums
Nov 11, 2008 · Hey guys I was just wondering if anyone could translate 3D Modelling into Japanese for me, I wanted to say to a friend of mine "I am going to study 3D Modelling at …
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Oct 6, 2008 · I am working with a textbook author who is modeling the use of the subjunctive with cualquier, quienquiera, dondequiera, etc. She is concerned that the following two sentences …
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Aug 5, 2011 · The following is from an English exercise given by my son's teacher. 40% of lizard species worldwide could be extinct by 2080. Barry Sinerro reached the conclusion by taking …
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Jan 18, 2025 · A typo? It’s creosote bush. 中文名：三齿拉瑞阿 英（外）文名：Creosote Bush 拉丁学名：Larrea tridentata
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Apr 10, 2020 · 1 is by far the most natural way to say it. 2 is wrong. 3 is okay, but there’s no obvious reason to spell it out like that.
Year followed by E (e.g. 2019e, 2019E) (financial reporting)
Oct 20, 2020 · Hello, Could someone tell me what the letter E tacked onto the numeral representation of a year means in a stock market report, e.g. in the following quote: "Oddo …
encamamiento de pacientes - WordReference Forums
Oct 25, 2006 · Hola a todos: Estoy traduciendo un documento sobre equipo médico, el texto en el que tengo duda es: El equipo es para pacientes en encamamiento, UCI y sala de …
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Jan 30, 2009 · Hola a todos!! Tengo que traducir esta frase pero estoy en duda: " publicar los productos que se van incorporando a la página web" Mi intento: "publish the products which …
Modelling or modeling? - WordReference Forums
Feb 28, 2007 · In the case of modeling/modelling, this amounts to a wash, since there are two possible pronunciation of modeling by a (very) naive speller. But in most other three-syllable …
modeling (psychotherapy) - WordReference Forums
May 1, 2009 · In psychotherapy, "Modeling" is the process through which, by observing the coherence between the therapist’s words and deeds, the client vicariously learns different ways …
3D Modelling - WordReference Forums
Nov 11, 2008 · Hey guys I was just wondering if anyone could translate 3D Modelling into Japanese for me, I wanted to say to a friend of mine "I am going to study 3D Modelling at …
cuandoquiera - WordReference Forums
Oct 6, 2008 · I am working with a textbook author who is modeling the use of the subjunctive with cualquier, quienquiera, dondequiera, etc. She is concerned that the following two sentences …
comparing it against/with | WordReference Forums
Aug 5, 2011 · The following is from an English exercise given by my son's teacher. 40% of lizard species worldwide could be extinct by 2080. Barry Sinerro reached the conclusion by taking …
creosote bush | WordReference Forums
Jan 18, 2025 · A typo? It’s creosote bush. 中文名：三齿拉瑞阿 英（外）文名：Creosote Bush 拉丁学名：Larrea tridentata
today's meeting or today meeting | WordReference Forums
Apr 10, 2020 · 1 is by far the most natural way to say it. 2 is wrong. 3 is okay, but there’s no obvious reason to spell it out like that.
Year followed by E (e.g. 2019e, 2019E) (financial reporting)
Oct 20, 2020 · Hello, Could someone tell me what the letter E tacked onto the numeral representation of a year means in a stock market report, e.g. in the following quote: "Oddo …
encamamiento de pacientes - WordReference Forums
Oct 25, 2006 · Hola a todos: Estoy traduciendo un documento sobre equipo médico, el texto en el que tengo duda es: El equipo es para pacientes en encamamiento, UCI y sala de operaciones. …
se van incorporando a | WordReference Forums
Jan 30, 2009 · Hola a todos!! Tengo que traducir esta frase pero estoy en duda: " publicar los productos que se van incorporando a la página web" Mi intento: "publish the products which …
