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Quantitative Methods

1.货币的时间价值 The time value of Money

1.Interest Rates

2.Future Value of a Single Cash Flow

3.Non-Annual Compounding (Future Value)

4.Continuous Compounding

5.A Series of Cash Flows

6.Present Value of a Single Cash Flow

7.Non-Annual Compounding (Present Value)

8.Present Value of a Series of Equal and Unequal Cash Flows

9.Present Value of a Perpetuity

10.Solving for Interest Rates, Growth Rates, and Number of Periods

11.Solving for Size of Annuity Payments

12.Present and Future Value Equivalence and the Additivity Principle

2.数据的组织，可视化和描述 Organizing, Visualizing, and Describing Data

1.Data Types

2.Organizing Data for Quantitative Analysis

3.Summarizing Data Using Frequency Distributions

4.Summarizing Data Using a Contingency Table

5.Data Visualization

6.Measures of Central Tendency

7.Quantiles

8.Measures of Dispersion

9.Downside Deviation and Coefficient of Variation

10.The Shape of the Distributions

11.Correlation between Two Variables

3.概率概念 Probability Concepts

1.Probability Concepts and Odds Ratios

2.Conditional and Joint Probability

3.Expected Value and Variance

4.Portfolio Expected Return and Variance of Return

5.Covariance Given a Joint Probability Function

6.Bayes' Formula

7.Principles of Counting

4.概率分布 Common Probability Distributions

1.Discrete Random Variables

2.Discrete and Continuous Uniform Distribution

3.Binomial Distribution

4.Normal Distribution

5.Applications of the Normal Distribution

6.Lognormal Distribution and Continuous Compounding

7.Student’s t-, Chi-Square, and F-Distributions

8.Monte Carlo Simulation

7.线性回归介绍 Introduction to Linear Regression

1.Simple Linear Regression

2.Estimating the Parameters of a Simple Linear Regression

3.Assumptions of the Simple Linear Regression Model

4.Analysis of Variance

5.Hypothesis Testing of Linear Regression Coefficients

6.Prediction Using Simple Linear Regression and Prediction Intervals

7.Functional Forms for Simple Linear Regression

6.假设检验 Hypothesis Testing

1.The Process of Hypothesis Testing

2.Identify the Appropriate Test Statistic

3.Specify the Level of Significance

4.State the Decision Rule

5.Make a Decision

6.The Role of p-Values

7.Multiple Tests and Significance Interpretation

8.Tests Concerning a Single Mean

9.Test Concerning Differences between Means with Independent Samples

10.Test Concerning Differences between Means with Dependent Samples

11.Testing Concerning Tests of Variances

12.Parametric vs. Nonparametric Tests

13.Tests Concerning Correlation

14.Test of Independence Using Contingency Table Data

5.抽样和估计 Sampling and estimation

1.Sampling Methods

2.The Central Limit Theorem and Distribution of the Sample Mean

3.Point Estimates of the Population Mean

4.Confidence Intervals for the Population Mean and Sample Size Selection

4.Resampling

5.Sampling Related Biases