600 likes | 611 Views
This chapter explores the theory and application of time-series analysis for financial planning and forecasting. It covers topics such as classical time-series component models, moving average and seasonally adjusted time-series, linear and log-linear time trend regressions, exponential smoothing and forecasting, and autoregressive forecasting models.
E N D
Financial Analysis, Planning and ForecastingTheory and Application Chapter 25 Time-Series: Analysis, Model, and Forecasting By Cheng F. Lee Rutgers University, USA John Lee Center for PBBEF Research, USA
Outline • 25.1 Introduction • 25.2 The Classical Time-Series Component Model • 25.3 Moving Average and Seasonally Adjusted Time-Series • 25.4 Linear and Log-Linear Time Trend Regressions • 25.5 Exponential Smoothing and Forecasting • 25.6 Autoregressive Forecasting Model • 25.7 Summary • Appendix 25A. The X-11 Model for Decomposing Time-Series Components • Appendix 25B. The Holt-Winters Forecasting Model for Seasonal Series
25.2 The Classical Time-Series Component Model Figure 25.1 Earnings per share of Johnson & Johnson
25.2 The Classical Time-Series Component Model (25.1) (25.2) where Tt = trend component Ct = cyclical component St = seasonal component It = irregular component
25.2 The Classical Time-Series Component Model Figure 25.5 Time-Series Decomposition
25.3 Moving Average and Seasonally Adjusted Time-Series (25.3) (25.4) (25.5)
25.3 Moving Average and Seasonally Adjusted Time-Series Table 25.3 Weighted average
24.3 Moving Average and Seasonally Adjusted Time-Series (25.6)
25.3 Moving Average and Seasonally Adjusted Time-Series (25.7) (25.7a) (25.8)
25.3 Moving Average and Seasonally Adjusted Time-Series (25.9)
25.3 Moving Average and Seasonally Adjusted Time-Series Figure 25.7 Trend of Ratio for Johnson & Johnson
25.3 Moving Average and Seasonally Adjusted Time-Series (25.10)
25.3 Moving Average and Seasonally Adjusted Time-Series Figure 25.8 Adjusted Earnings per Share (EPS) of Johnson & Johnson
25.4 Linear and Log-Linear Time Trend Regressions (25.11) (25.12) (25.13)
25.5 Exponential Smoothing and Forecasting (25.15) (25.16)
25.5 Exponential Smoothing and Forecasting (25.18) (25.19a) (25.19b)
25.6 Autoregressive Forecasting Model (25.21) (25.22) (25.23)
25.6 Autoregressive Forecasting Model (25.24) (25.25) (25.26)
25.7 Summary In this chapter, we examined time-series component analysis and several methods of forecasting. The major components of a time series are the trend, cyclical, seasonal, and irregular components. To analyze these time-series components, we used the moving-average method to obtain seasonally adjusted time series. After investigating the analysis of time-series components, we discussed several forecasting models in detail. These forecasting models are linear time trend regression, simple exponential smoothing, the Holt-Winters forecasting model without seasonality, the Holt-Winters forecasting model with seasonality, and autoregressive forecasting. Many factors determine the power of any forecasting model. They include the time horizon of the forecast, the stability of variance of data, and the presence of a trend, seasonal, or cyclical component.
Table 25A.1 Appendix 25A. The X-11 Model for Decomposing Time- Series Components (25A.1)
Appendix 25A. The X-11 Model for Decomposing Time- Series Components Figure 25A.1 Original Sales and the X-11 Final Component Series of Caterpillar, 1969-1980 Source: J. A. Gentry and C. F. Lee, “Measuring and Interpreting Time, Firm and Ledger Effect,” in Cheng F. Lee(1983), Financial Analysis and Planning: Theory and Application, A book of Readings
Table 25A.2 Appendix 25A. The X-11 Model for Decomposing Time- Series Components
Appendix 25A. The X-11 Model for Decomposing Time- Series Components (25A.2)