1 Introduction to Financial Econometrics,

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1 Introduction to Financial Econometrics, Mathematics, Statistics, and Machine Learning Cheng-Few Lee Distinguished Professor of Finance and Economics, Rutgers University Editor of Review of Quantitative Finance and Accounting and Review

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1 Introduction to Financial Econometrics, Mathematics, Statistics, and Machine Learning* Cheng-Few Lee
Distinguished Professor of Finance and
Economics, Rutgers University
Editor of Review of Quantitative Finance
and Accounting and Review of Pacific
Basin Financial Market and Policy
Email: cflee@business.rutgers.edu

*Paper to be presented at FeAT 2019 Annual Conference on May 31, 2019

2 Outline Chapter Outline
Abstract
Introduction
Financial Econometrics
Financial Statistics
Financial Technology and Machine Learning
Applications of Financial Econometrics, Mathematics, Statistics, and Machine Learning
Overall Discussion
Summary & Conclusion
Appendix A-Chapter titles of Handbook
Appendix B-Chapter titles of Textbook
Appendix C-Books written and edited by Cheng Few Lee

3 Chapter Outline (1) 1.1 Introduction
1.2 Financial Econometrics
1.2.1 Single Equation Regression Methods
1.2.2 Simultaneous Equation Models
1.2.3 Panel Data Analysis
1.2.4 Alternative Methods to Deal with Measurement
Error
1.2.5 Time-Series Analysis
1.2.6 Spectral Analysis
1.3 Financial Mathematics

4 Chapter Outline (2) 1.4 Financial Statistics
1.4.1 Statistical Distributions
1.4.2 Principle Components and Factor Analysis
1.4.3 Non-parametric and Semi-parametric Analyses
1.4.4 Cluster Analysis
1.4.5 Fourier Transformation Method
1.5 Financial Technology and Machine Learning
1.5.1 Classification of Financial Technology
1.5.2 Classification of Machine Learning
1.5.3 Machine Learning Applications

5 Chapter Outline (3) 1.5.4 Other Computer Science Tools Used For Financial
Technology
1.6 Applications of Financial Econometrics,
Mathematics, Statistics, and Machine Learning
1.6.1 Asset Pricing
1.6.2 Corporate Finance
1.6.3 Financial Institution
1.6.4 Investment and Portfolio Management
1.6.5 Option Pricing Model
1.6.6 Futures and Hedging

6 Chapter Outline (4) 1.6.7 Mutual Fund
1.6.8 Credit Risk Modeling
1.6.8.1 Traditional Approach
1.6.8.2 Machine Learning Approach
1.6.9 Other Applications
1.7 Overall Discussion of This Handbook
1.7.1 Chapter title classification
1.7.2 Keyword classification
1.8 Summary and Concluding Remarks

7 Abstract (1) The main purpose of this introduction chapter is to give an overview of the following 129 papers, which discuss financial econometrics, mathematics, statistics, and machine learning. There are eight sections in this introductory chapter. Section 1 is the introduction, Section 2 discusses financial econometrics, Section 3 explores financial mathematics, and Section 4 discusses financial statistics. Section 5 of this introduction chapter discusses financial technology and machine learning, Section 6 explores applications of financial econometrics, mathematics,

8 Abstract (2) statistics, and machine learning, and Section 7 gives an overview in terms of chapter and keyword classification of the handbook. Finally, Section 8 is a summary and includes some remarks.

9 1.1 INTRODUCTION (1) Financial econometrics, mathematics, statistics, and machine learning have been widely used in empirical research in both finance and accounting. Specifically, econometric methods are important tools for asset pricing, corporate finance, options and futures, and conducting financial accounting research. Econometric methods used in finance and accounting related research include single equation multiple regression, simultaneous regression, panel data analysis, time series analysis, spectral analysis, non-parametric analysis, semi-parametric analysis, GMM analysis, and other methods.

10 1.1 INTRODUCTION (2) In both theory and methodology, we need to rely upon mathematics, which includes linear algebra, geometry, differential equations, Stochastic differential equation (Ito calculus), optimization, constrained optimization, and others. These forms of mathematics have been used to derive capital market line, security market line (capital asset pricing model), option pricing model, portfolio analysis, and others.

11 1.1 INTRODUCTION (3) Statistics distributions, such as normal distribution, stable distribution, and log normal distribution, have been used in research related to portfolio theory and risk management. Binomial distribution, log normal distribution, non-central chi square distribution, Poisson distribution, and others have been used in studies related to option and futures. Moreover, risk management research has used Copula distribution and other distributions. Both finance research and applications need machine learning for empirical

12 1.1 INTRODUCTION (4) analyses. These technologies include: Excel, Excel VBA, SAS program, MINITAB, MATLAB, machine learning, and others. It is well known that simulation method is also frequently used in financial empirical studies.
This handbook is composed of 130 chapters, which are used to show how financial econometrics, mathematics, statistics, and machine learning can be used both theoretically and empirically in finance research.

13 1.1 INTRODUCTION (5) Section 1.1 introduces the topics to be covered in the handbook.
Section 1.2 discusses financial econometrics. In Section 1.2 there are six subsections. Each subsection briefly discusses a topic. They are: single equation regression methods, simultaneous equation models, panel data analysis, alternative methods to deal with measurement error, time-series analysis, and spectral analysis.

14 1.1 INTRODUCTION (6) Section 1.3, financial mathematics is mentioned.
Section 1.4 and its five subsections discusses financial statistics. The subsections in Section 1.4 are as follows: statistical distributions, principle components and factor analysis, non-parametric and semi-parametric analyses, cluster analysis, and Fourier transformation method.
Section 1.5 briefly discusses financial technology and machine learning. In this section there are four subsections. The first and second subsection go over the classification of financial technology and machine learning. The third subsection mentions machine learning applications, and the fifth

15 1.1 INTRODUCTION (7) subsection talks about computer science tools used in financial technology.
Section 1.6 discusses applications of financial econometrics, mathematics, statistics, and machine learning and includes nine subsections. The subsections discuss asset pricing, corporate finance, financial institution, investment and portfolio management, option pricing model, futures and hedging, mutual fund, credit risk modeling in terms of both a traditional approach and a machine learning approach, and other applications.
Section 1.7 is an overall discussion of the handbook.
Section 1.8 is a summary and provides some concluding remarks.

16 1.2 FINANCIAL ECONOMETRICS (1) 1.2.1 SINGLE EQUATION REGRESSION METHODS
Heteroskedasticity
Specification error
Measurement errors and Asset Pricing Tests
Skewness and kurtosis effect
Nonlinear regression and Box-Cox transformation
Structural change
Generalize fluctuation
Probit and logit regression

17 1.2 FINANCIAL ECONOMETRICS (2) 1.2.1 SINGLE EQUATION REGRESSION METHODS
Poisson regression
Fuzzy regression
Path analysis
Besides the above-mentioned methodologies, in this handbook we also present other new econometric methodologies such as quantile co-integration (Chapter 92), threshold regression (Chapter 22), Kalman filter (Chapter 53), and filtering methods (Chapter 64).

18 1.2 FINANCIAL ECONOMETRICS (3) 1.2.2 SIMULTANEOUS EQUATION MODELS
Two-stage least squares estimation (2SLS) method
Seemly unrelated regression (SUR) method
Three-stage least squares estimation (3SLS) method
Disequilibrium estimation method
Generalized method of moments

19 1.2 FINANCIAL ECONOMETRICS (4) 1.2.3 PANEL DATA ANALYSIS
Fixed effect model
Random effect model
Clustering effect model

20 1.2 FINANCIAL ECONOMETRICS (5) 1.2.4 ALTERNATIVE METHODS TO DEAL WITH MEASUREMENT ERROR
LISREL model
Multi-factor and multi-indicator (MIMIC) model
Partial least square method
Grouping method
In addition, there are other errors in variables methods, such as classical method, instrumental variable method, mathematical programming method, maximum likelihood method, GMM method, and Bayesian statistic method. Chen, Lee, and Lee (2015) have discussed above-mentioned methods in detail.

21 1.2 FINANCIAL ECONOMETRICS (6) 1.2.5 TIME-SERIES ANALYSIS
There are various important models in time series analysis, such as autoregressive integrated moving average (ARIMA) model, autoregressive conditional heteroscedasticity (ARCH) model, generalized autoregressive conditional heteroscedasticity (GARCH) model, fractional GARCH, and combined forecasting model. Anderson (1994) and Hamilton (1994) have discussed the issues related to time series analysis.

22 1.2 FINANCIAL ECONOMETRICS (7) 1.2.5 TIME-SERIES ANALYSIS
Myers (1991) discloses ARIMA’s role in time-series analysis: Lien and Shrestha (2007) discuss ARCH and its impact on time-series analysis. Lien (2010) discusses GARCH and its role in time-series analysis. Leon and Vaello-Sebastia (2009) further research into GARCH and its role in time-series in a model called Fractional GARCH.

23 1.2 FINANCIAL ECONOMETRICS (8) 1.2.5 TIME-SERIES ANALYSIS
Granger and Newbold (1973), Granger and Newbold (1974), Granger and Ramanathan (1984) have theoretically developed combined forecasting methods. Lee et al. (1986) have applied combined forecasting methods to forecast market beta and accounting beta. Lee and Cummins (1998) have shown how to use the combined forecasting methods to perform cost of capital estimates.

24 1.2 FINANCIAL ECONOMETRICS (9) 1.2.6 SPECTRAL ANALYSIS
Anderson (1994), Chacko and Viceira (2003), and Heston (1993) have discussed how spectral analysis can be performed. Heston (1993) and Bakshi et al. (1997) have applied spectral analysis in the evaluation of option pricing.

25 1.3 FINANCIAL MATHEMATICS Mathematics used in finance research includes linear algebra, calculus, and Ito calculus. For portfolio analysis we need to use constrained optimization. For CAPM derivation we need to use portfolio optimization chain rule, partial derivative, and some basic geometry. In option pricing model derivation, we need to use Ito calculus as well as related theories and propositions.
For example, Black and Scholes (1973), Merton (1973), Hull (2018), Lee et al. (2016), Lee at al. (2013), and others have shown how Ito calculus can be used to derive option pricing model and other research topics. In addition, Lee et al. (2013) have shown how the constrained maximization method and linear algebra method can be used to obtain the optimum portfolio weights.

26 1.4 FINANCIAL STATISTICS 1.4.1 STATISTICAL DISTRIBUTIONS
1.4.2 PRINCIPLE COMPONENTS AND FACTOR ANALYSIS
1.4.3 NON-PARAMETRIC AND SEMI-PARAMETRIC ANALYSES
1.4.4 CLUSTER ANALYSIS
1.4.5 FOURIER TRANSFORMATION METHOD

27 1.5 FINANCIAL TECHNOLOGY AND MACHINE LEARNING 1.5.1 CLASSIFICATION OF FINANCIAL TECHNOLOGY
1.5.2 CLASSIFICATION OF MACHINE LEARNING
1.5.3 MACHINE LEARNING APPLICATIONS
1.5.4 OTHER COMPUTER SCIENCE TOOLS USED FOR FINANCIAL TECHNOLOGY

28 1.6 APPLICATIONS OF FINANCIAL ECONOMETRICS, MATHEMATICS, STATISTICS, AND MACHINE LEARNING 1.6.1 ASSET PRICING
1.6.2 CORPORATE FINANCE
1.6.3 FINANCIAL INSTITUTION
1.6.4 INVESTMENT AND PORTFOLIO MANAGEMENT
1.6.5 OPTION PRICING MODEL
1.6.6 FUTURES AND HEDGING
1.6.7 MUTUAL FUND
1.6.8 CREDIT RISK MODELING
1.6.8.1 Traditional Approach
1.6.8.2 Machine Learning Approach
1.6.9 OTHER APPLICATIONS

29 1.7 OVERALL DISCUSSION OF THIS BOOK 1.7.1 CHAPTER TITLE CLASSIFICATION
1.7.2 KEYWORD CLASSIFICATION

30 1.8 SUMMARY AND CONCLUDING REMARKS (1) This chapter has discussed important financial econometrics and statistics which are used in finance and accounting research. We discussed the regression models and topics related to financial econometrics, including single equation regression models, simultaneous equation models, panel data analysis, alternative methods to deal with measurement error, and time-series analysis. We also introduced topics related to financial statistics, including statistical distributions, principle components and factor analysis, non-parametric and semi-parametric analyses, and cluster analysis.

31 1.8 SUMMARY AND CONCLUDING REMARKS (2) In addition, financial econometrics, mathematics, and statistics are important tools to conduct research in finance and accounting areas. We briefly introduced applications of econometrics, mathematics, and statistics models in finance and accounting research. Research topics include asset pricing, corporate finance, financial institution, investment and portfolio management, option pricing model, futures and hedging, mutual fund, credit risk modeling, and others.

32 Appendix A. Chapter Title (1) Chapter 1: Introduction
Chapter 2: Do Managers Use Earnings Forecasts to Fill a Demand They Perceive From Analysts?
Chapter 3: A potential benefit of increasing book–tax conformity: Evidence from the reduction in audit fees
Chapter 4 : Gold in Portfolio: A Long-Term or Short-Term Diversifier?
Chapter 5: Application of Simultaneous Equation in Finance Research
Chapter 6: Forecast Performance of the Taiwan Weighted Stock Index: Update and Expansion

33 Appendix A. Chapter Title (2) Chapter 7: Statistical Distributions and Option Bound Determination
Chapter 8: Measuring the Collective Correlation of a Large Number of Stocks
Chapter 9: Key Borrowers Detected by the Intensities of Their Interactions
Chapter 10: Application of the Multivariate Average F Test to Examine Relative Performance of Asset Pricing Models with Individual Security Returns
Chapter 11 : Hedge Ratio and Time Series Analysis

34 Appendix A. Chapter Title (3) Chapter 12: Application of Intertemporal CAPM on International Corporate Finance
Chapter 13: What Drives Variation in the International Diversification Benefits? A Cross-Country Analysis
Chapter 14 : A Heteroskedastic Black-Litterman Portfolio Optimization Model with Views Derived From a Predictive Regression
Chapter 15: Pricing Fair Deposit Insurance: Structural Model Approach
Chapter 16: Application of Structural Equation Modeling in Behavioral Finance: A Study on the Disposition Effect

35 Appendix A. Chapter Title (4) Chapter 17: External Financing Needs and Early Adoption of Accounting Standards: Evidence from the Banking Industry
Chapter 18: Improving The Stock Market Prediction with Social Media via Broad Learning
Chapter 19: Sourcing Alpha in Global Equity Markets: Market Factor Decomposition and Market Characteristics
Chapter 20: Support Vector Machines Based Methodology for Credit Risk Analysis
Chapter 21: Data Mining Applications in Accounting and Finance Context

36 Appendix A. Chapter Title (5) Chapter 22 : Tradeoff Between Reputation Concerns and Economic Dependence for Auditors—Threshold Regression Approach
Chapter 23: ASEAN Economic Community: Analysis Based on Fractional Integration and Cointegration
Chapter 24: Alternative Methods for Determining Option Bounds: A Review and Comparison
Chapter 25: Financial Reforms and the Differential Impact of Foreign versus Domestic Banking Relationships on Firm Value
Chapter 26: Time-Series Analysis: Components, Models, and Forecasting

37 Appendix A. Chapter Title (6) Chapter 27: Itô’s Calculus and the Derivation of the Black-Scholes Option-Pricing Model
Chapter 28: Durbin-Wu-Hausman Specification Tests
Chapter 29 : Jump Spillover and Risk Effects on Excess Returns in the United States During The Great Depression
Chapter 30: Earnings Forecasts and Revisions, Price Momentum, and Fundamental Data: Further Explorations of Financial Anomalies
Chapter 31: Ranking Analysts by Network Structural Hole
Chapter 32: The Association Between Book-Tax Differences and CEO Compensation

38 Appendix A. Chapter Title (7) Chapter 33: Stochastic Volatility Models: Faking a Smile
Chapter 34: Entropic Two-Asset Option
Chapter 35: The Joint Determinants of Capital Structure and Stock Rate of Return: A LISREL Model Approach
Chapter 36: Time-Frequency Wavelet Analysis of Stock-Market C0-Movement Between and Within Geographic Trading Blocs
CHAPTER 37: Alternative Methods to Deal with Measurement Error
Chapter 38: Simultaneously Capturing Multiple Dependence Features in Bank Risk Integration: A Mixture Copula Framework

39 Appendix A. Chapter Title (8) Chapter 39: GPU Acceleration for Computational Finance
Chapter 40: Does VIX Truly Measure Return Volatility?
Chapter 41: An ODE approach for the expected discounted penalty at ruin in a jump-diffusion model
Chapter 42: How Does Investor Sentiment Affect Implied Risk-Neutral Distributions of Call and Put Options?
Chapter 43: Intelligent Portfolio Theory and Strength Investing in the Confluence of Business & Market Cycles and Sector & Location Rotations
Chapter 44: Evolution Strategy Based Adaptive Lq Penalty Support Vector Machines with Gauss Kernel for Credit Risk Analysis

40 Appendix A. Chapter Title (9) Chapter 45: Product Market Competition And CEO Pay Benchmarking
Chapter 46: Cash Conversion Systems in Corporate Subsidiaries
Chapter 47: Is the Market Portfolio Mean-Variance Efficient?
Chapter 48: Consumption-Based Asset Pricing with Prospect Theory and Habit Formation
Chapter 49: An Integrated Model for the Cost-Minimizing Funding of Corporate Activities over Time

41 Appendix A. Chapter Title (10) Chapter 50: Empirical Studies of Structural Credit Risk Models and the Application in Default Prediction: Review and New Evidence
Chapter 51: Empirical Performance of the Constant Elasticity Variance Option Pricing Model
Chapter 52: The Jump Behavior of a Foreign Exchange Market: Analysis of the Thai Baht
Chapter 53: The Revision of Systematic Risk on Earnings Announcement in the Presence of Conditional Heteroscedasticity

42 Appendix A. Chapter Title (11) Chapter 54: Applications of Fuzzy Set to International Transfer Pricing and Other Business Decisions
Chapter 55: A Time-Series Bootstrapping Simulation Method to Distinguish Sell-Side Analysts’ Skill From Luck
Chapter 56: Acceptance of New Technologies by Employees in Financial Industry
Chapter 57: Alternative Method for Determining Industrial Bond Ratings: Theory and Empirical Evidence
Chapter 58: An Empirical Investigation of The Long Memory Effect on the Relation of Downside Risk and Stock Returns

43 Appendix A. Chapter Title (12) Chapter 59: Analysis of Sequential Conversions of Convertible Bonds: A Recurrent Survival Approach
Chapter 60: Determinants of Euro-Area Bank CDS Spreads
Chapter 61: Dynamic Term Structure Models Using Principal Components Analysis Near the Zero Lower Bound
Chapter 62: Effects of Measurement Errors on Systematic Risk and Performance Measure of a Portfolio
Chapter 63: Forecasting Net Charge-Off Rates Of Banks: A PLS Approach
Chapter 64: Application of Filtering Methods in Asset Pricing

44 Appendix A. Chapter Title (13) Chapter 65: Sampling Distribution of the Relative Risk Aversion Estimator: Theory and Applications
Chapter 66: Social Media, Bank Relationships and Firm Value
Chapter 67: Splines, Heat, and IPOs: Advances in the Measurement of Aggregate IPO Issuance and Performance
Chapter 68: The Effects of the Sample Size, the Investment Horizon and Market Conditions on the Validity of Composite Performance Measures: A Generalization

45 Appendix A. Chapter Title (14) Chapter 69: The Sampling Relationship Between Sharpe’s Performance Measure and its Risk Proxy: Sample Size, Investment Horizon and Market Conditions
Chapter 70: VG NGARCH versus GARJI Model for Asset Price Dynamics
Chapter 71: Why do Smartphones and Tablets Users Adopt Mobile Banking
Chapter 72: Non-Parametric Inference on Risk Measures for Integrated Returns
Chapter 73: Copulas and Tail Dependence in Finance
Chapter 74: Some Improved Estimators of Maximum Squared Sharpe Ratio

46 Appendix A. Chapter Title (15) Chapter 75: Errors-in-Variables and Reverse Regression
Chapter 76: The role of financial advisors in M&As: Do domestic and foreign advisors differ?
Chapter 77: Discriminant Analysis, Factor Analysis, and Principal Component Analysis: Theory, Method, and Applications
Chapter 78: Credit Analysis, Bond Rating Forecasting, And Default Probability Estimation
Chapter 79: Market Model, CAPM, and Beta Forecasting
Chapter 80: Utility Theory, Capital Asset Allocation, and Markowitz Portfolio-Selection Model

47 Appendix A. Chapter Title (16) Chapter 81: Single-Index Model, Multiple-Index Model, and Portfolio Selection
Chapter 82: Sharpe Performance Measure and Treynor Performance Measure Approach to Portfolio Analysis
Chapter 83: Options and Option Strategies: Theory and Empirical Results
Chapter 84: Decision Tree and Microsoft Excel Approach for Option Pricing Model
Chapter 85: Statistical Distributions, European Option, American Option, and Option Bounds

48 Appendix A. Chapter Title (17) Chapter 86: A Comparative Static Analysis Approach to Derive Greek Letters: Theory and Applications
Chapter 87: Fundamental Analysis, Technical Analysis, and Mutual Fund Performance
Chapter 88: Bond Portfolio Management, Swap Strategy, Duration, and Convexity
Chapter 89: Synthetic Options, Portfolio Insurance, and Contingent Immunization
Chapter 90: Alternative Security Valuation Model: Theory and Empirical Results

49 Appendix A. Chapter Title (18) Chapter 91: Opacity, Stale Pricing, Extreme Bounds Analysis, and Hedge Fund Performance: Making Sense of Reported Hedge Fund Returns
Chapter 92: Does Quantile Co-integrated Relationships Exist Between Spot and Futures Gold Prices?
Chapter 93: Bayesian Portfolio Mean-Variance Efficiency Test with Sharpe Ratio’s Sampling Error
Chapter 94: Does Revenue Momentum Drive or Ride Earnings or Price Momentum?
Chapter 95: Technical, Fundamental, and Combined Information for Separating Winners from Losers

50 Appendix A. Chapter Title (19) Chapter 96: Optimal Payout Ratio under Uncertainty and the Flexibility Hypothesis: Theory and Empirical Evidence
Chapter 97: Sustainable Growth Rate, Optimal Growth Rate, and Optimal Payout Ratio: A Joint Optimization Approach
Chapter 98: Cross-sectionally Correlated Measurement Errors in Two-Pass Regression Tests of Asset-Pricing Models
Chapter 99: Asset Pricing with Disequilibrium Price Adjustment: Theory and Empirical Evidence
Chapter 100: A Dynamic CAPM with Supply Effect: Theory and Empirical Results

51 Appendix A. Chapter Title (20) Chapter 101: Estimation Procedures of Using Five Alternative Machine Learning Methods for Predicting Credit Card Default
Chapter 102: Alternative Methods to Derive Option Pricing Models: Review and Comparison
Chapter 103: Option Price and Stock Market Momentum in China
Chapter 104: Advancement of Optimal Portfolios with Short-sales and Transaction Costs: Modeling and Effectiveness

52 Appendix A. Chapter Title (21) Chapter 105: The Path Leading Up to the New IFRS 16 Leasing Standard: How was the Restructuring of Lease Accounting Received by Different Advocacy Groups?
Chapter 106: Implied Variance Estimates For Black-Scholes And CEV OPM: Review And Comparison
Chapter 107: Crisis Impact on Stock Market Predictability
Chapter 108: How Many Good and Bad Funds are There, Really?
Chapter 109: Constant Elasticity of Variance Option Pricing Model: Integration and Detailed Derivation

53 Appendix A. Chapter Title (22) Chapter 110: An Integral-Equation Approach for Defaultable Bond Prices with Application to Credit Spreads
Chapter 111: Sample Selection Issues and Applications
Chapter 112: Time Series and Neural Network Forecasts of Daily Stock Prices
Chapter 113: Covariance Regression Model for Non-normal Data
Chapter 114: Impacts of Time Aggregation on Beta Value and R Squared Estimations Under Additive and Multiplicative Assumptions: Theoretical Results and Empirical Evidence

54 Appendix A. Chapter Title (23) Chapter 115: Large-Sample Theory
Chapter 116: Impacts of Measurement Errors on Simultaneous Equation Estimation of Dividend and Investment Decisions
Chapter 117: Big Data and Artificial Intelligence in the Banking Industry
Chapter 118: A Re-examination of Global Financial Integration: A Non-Parametric Approach
Chapter 119: ALAN - Algorithmic Analyst: An application for Artificial Intelligence Content as a Service

55 Appendix A. Chapter Title (24) Chapter 120: Survival Analysis: Theory and Applications in Finance
Chapter 121: Pricing Liquidity in the Stock Market
Chapter 122: The Evolution of Capital Asset Pricing Models: Update and Extension
Chapter 123: The Multivariate GARCH Model and Its Application to East Asian Financial Market Integration
Chapter 124: Review of Difference-in-Difference Analyses in Social Sciences: Application in Policy Test Research
Chapter 125: Using Smooth Transition Regressions to Model Risk Regimes

56 Appendix A. Chapter Title (25) Chapter 126: Application of Discriminant Analysis, Factor Analysis, Logistic Regression, and KMV-Merton Model in Credit Risk Analysis
Chapter 127: Predicting Credit Card Delinquencies: An Application of Deep Neural Networks
Chapter 128: Estimating the Tax-Timing Option Value of Corporate Bonds
Chapter 129: DCC-GARCH Model For Market and Firm-Level Dynamic Correlation in S&P 500
Chapter 130: Using Path Analysis to Integrate Accounting and Non-Financial Information: The Case for Revenue Drivers of Internet Stocks

57 Appendix B. Chapter Title of Financial Econometrics, Mathematics and Statistics：Theory, Method and Application (1) Chapter 1: Introduction
Part A: Regression and Financial Econometrics
Chapter 2: Multiple Linear Regression
Chapter 3: Other Topics in Applied Regression Analysis
Chapter 4: Simultaneous Equation Models
Chapter 5: Econometric Approach to Financial Analysis, Planning, and Forecasting
Chapter 6: Fixed Effect vs Random Effect in Finance Research

58 Appendix B. Chapter Title of Financial Econometrics, Mathematics and Statistics： Theory, Method and Application (2) Chapter 7: Alternative Methods to Deal with Measurement Error
Chapter 8: Three Alternative Errors-in-Variables Estimation Methods in Testing Capital Asset Pricing Model
Chapter 9: Spurious Regression and Data Mining in Conditional Asset Pricing Models

59 Appendix B. Chapter Title of Financial Econometrics, Mathematics and Statistics： Theory, Method and Application (3) Part B: Time-Series Analysis and Its Applications
Chapter 10: Time-Series: Analysis, Model, and Forecasting
Chapter 11: Hedge Ratio and Time-Series Analysis

60 Appendix B. Chapter Title of Financial Econometrics, Mathematics and Statistics： Theory, Method and Application (4) Part C: Statistical Distributions, Option Pricing Model and Risk Management
Chapter 12: The Binomial, Multi-Nominal Distributions and Option Pricing Model
Chapter 13: Two Alternative Binomial Option Pricing Model Approaches to Derive Black-Scholes Option Pricing Model
Chapter 14: Normal, Lognormal Distribution, andOption Pricing Model
Chapter 15: Copula, Correlated Defaults, and Credit VaR
Chapter 16: Multivariate Analysis: Discriminant Analysis and Factor Analysis

61 Appendix B. Chapter Title of Financial Econometrics, Mathematics and Statistics： Theory, Method and Application (5) Part D: Statistics, ITÔ’s Calculus and Option Pricing Model
Chapter 17: Stochastic Volatility Option Pricing Models
Chapter 18: Alternative Method to Estimate Implied Variance: Review and Comparison
Chapter 19: Numerical Valuation of Asian Options with Higher Moments in the Underlying Distribution
Chapter 20: Itô’s Calculus: Derivation of the Black-Scholes Option Pricing Model
Chapter 21: Alternative Methods to Derive Option Pricing Models

62 Appendix B. Chapter Title of Financial Econometrics, Mathematics and Statistics： Theory, Method and Application (6) Chapter 22: Constant Elasticity of Variance Option Pricing Model: Integration and Detailed Derivation
Chapter 23: Option Pricing and Hedging Performance under Stochastic Volatility and Stochastic Interest Rates
Chapter 24: Non-Parametric Method for European Option Bounds

Appendix C: Important books written by Cheng Few Lee Intermediate Futures and Options, (with John C. Lee and Alice C. Lee), World Scientific Publishing Co., Forthcoming, 2020
Corporate Finance: Theory, Method, and Applications, (with John C. Lee), 2nd edition., World Scientific Publishing Co., Forthcoming, 2020
Handbook of Financial Econometrics, Mathematics, Statistics, and Machine Learning, (with John C. Lee), World Scientific Publishing Co., Forthcoming, 2019
Financial Econometrics and Statistics, (with Hong-Yi Chen, John C. Lee, and Alice C. Lee), Springer Academic Publishers, Forthcoming, 2019
Financial Analysis, Planning and Forecasting, (with John C. Lee), 3rd edition., World Scientific Publishing Co., 2017 (ISBN: 978-981-4723-84-8)
From East to West─Memoirs of a Finance Professor on Academia, Practice, and Policy ( English version), World Scientific Publishing Co., 2017. (ISBN: 978-981-3146-12-9) 63

Appendix C: Important books written by Cheng Few Lee Essentials of Excel, Excel VBA, SAS and Minitab for Statistical and Financial Analyses, (with John C. Lee, Jow-Ran Chang, and Tzu Tai), Springer International Publishing, 2016 (ISBN: 978-3-319-38865-6)
Handbook of Financial Econometrics and Statistics (with John C. Lee), Springer Academic Publishers, 2015. (ISBN: 978-1-4614-7749-5)
Statistics for Business and Financial Economics, 3rd edition, (with John C. Lee and Alice C. Lee), Springer Academic Publishers, 2013. (ISBN: 978-1-4614-5896-8)
Encyclopedia of Finance, 2nd edition (with Alice C. Lee), Springer Academic Publishers, 2013. (ISBN: 978-1-4614-5359-8)
Security Analysis, Portfolio Management, and Financial Derivatives(with Joseph E. Finnerty, Donald H. Wort, John Lee and Alice C. Lee), World Scientific Publishers, Inc, 2013. (ISBN-10: 9814343560 ; ISBN-13: 978-9814343565)
Handbook of Quantitative Finance and Risk Management (with Alice C. Lee and John Lee), Springer Academic Publishers, 2010. (ISBN: 978-0-387-77116-8) 64

Appendix C: Important books written by Cheng Few Lee Financial Analysis, Planning and Forecasting, (with John C. Lee and Alice C. Lee), 2nd ed., World Scientific Publishers, Inc, 2009. (ISBN: 9789812706089 (13-digit ISBN) / 9812706089 (10 digit ISBN) (HC-hard cover))
Encyclopedia of Finance (with Alice C. Lee), Springer Academic Publishers, 2006. [ISBN 978-0-387-26284-0, Hardcover, Version: print (book); ISBN 978-0-387-33450-9, Version: print+eReference (book + online access); ISBN 978-0-387-26336-6, Version: eReference (online access)]
Statistics for Business and Financial Economics, (with John C. Lee and Alice C. Lee), World Scientific Publishers, Inc., 2000, Second edition (ISBN 981-02-3485-6).
Autobiography of Cheng-few Lee: With Discussions on the Future of Taiwan and PacificBasin Countries (in Chinese), second edition, Hai-Tai Publishing Company, 2001
Foundations of Financial Management (with Joseph E. Finnerty and Edgar A. Norton), West Publishing Company, 1997. [This book has been translated into Chinese and published in Taipei, Taiwan in 2002, (ISBN 981-243-422-4)] 65

Appendix C: Important books written by Cheng Few Lee Statistics for Business and Financial Economics, D.C. Heath, 1993
Corporate Finance: Theory, Method, and Applications, (with Joseph E. Finnerty), Harcourt Brace Jovanovich, Publishers, 1990. [This book has been translated into Russian (ISBN 5-16-000102-6 paperback,ISBN 0-15-514085 hard cover)]
Security Analysis and Portfolio Management, (with Joseph E. Finnerty and Donald H. Wort), Scott, Foresman and Company, 1990.
Theoretical Framework of Financial Analysis and Application, (in Chinese) May 1987
Urban Econometrics--Model Development and Empirical Results, (with James B. Kau and C.F. Sirmans), JAI Press, 1986.
Financial Analysis and Planning: Theory and Application, Addison-Wesley Publishing Company, 1985. 66

Appendix C: Important books written by Cheng Few Lee Financial Analysis and Planning: Theory and Application, A Book of Readings, Addison-Wesley Publishing Company, 1983.
Financial Analysis and Planning: A Linear Programming and Simultaneous Equation Approach (March, 1981), TamkangUniversity Press, Taipei, Taiwan.
Readings in Investment Analysis (with Jack C. Francis and D.E. Farrar), (March, 1980). New York: McGraw-Hill Book Company. 67

1 Introduction to Financial Econometrics,

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