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漢珍 2008 商學研究與數位資源應用研討會. 分量迴歸的介紹與應用 降息刺激經濟成長? 如何增加公司利潤? 漲時看勢,跌時看質?. How Many Years for One SSCI Publication?. How Many Years for One SSCI Publication?. 計量模型與方法的應用. 分析並呈現資料的特性 解釋過去的經濟現象 預測未來. 資料. 橫斷面 (cross-section) 資料 :. 時間序列 (time series) 資料 :. 追蹤資料 (panel) 資料 :. 不同實證結果的爭論 ?.
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漢珍2008商學研究與數位資源應用研討會 分量迴歸的介紹與應用 降息刺激經濟成長? 如何增加公司利潤? 漲時看勢,跌時看質?
計量模型與方法的應用 • 分析並呈現資料的特性 • 解釋過去的經濟現象 • 預測未來 資料 • 橫斷面 (cross-section) 資料: • 時間序列 (time series) 資料: • 追蹤資料 (panel) 資料:
不同實證結果的爭論? • 計量模型失靈? • 計量學家失靈? • 實證資料不對? • 瞎子摸象?
不同實證結果的爭論? • Certain puzzles of the relations between firm profitability and its determinants: • R&D expense • Size effect on the profitability • Debt ratio puzzle
不同實證結果的爭論? • R&D expense • Branch (1974); Grabowski and Mueller (1978); Reinhard (1985); Guerard, et al. (1987); Brown (1988); Kraft (1989): Chan, et al. (1990); Morbey and Reithner (1990); Sougiannis (1994); Deng, et al. (1999) and Schoenecker and Swanson (2002)
不同實證結果的爭論? • The effect of size on the profitability • Ferri and Jones (1979), Smith and Watts (1992), Panzar and Willig (1979), Eckard (1990) and Paul (2001) • Williamson (1967), Holmes, et al. (1991); Lever (1996); Chuang (1999); Pull (2003)
不同實證結果的爭論? • Capital structure (Debt ratio): • Kim (1978), Schneller (1980) and Bradley, et al. (1984) • Titman and Wessels (1988) and Baskin (1989)
計量方法的演變 Yi =β1+β2 X2i+…+ βk Xki+ ei , i =1,…,N • Specification linear model nonlinear model nonparametrics • Method least squares (least absolute deviation), QMLE, GMM, • computationally intensive methods, etc. • Structure single equation multiple equations (simultaneous-equation model, VAR)
Does the era of linearity and least-squares come to an end? • Legendre: • Least squares: • Minimizing sum of squared errors • Boscovich: • Least absolute deviation • Minimizing sum of absolute errors • Key: “averaging” the errors
Legendre Boscovich
平均數具有代表性嗎? • 應用和計算平均數的前提條件是什麼? • 同質性的分配 • 因為只有是同質性的分配,計算平均數才有意義
Motivations • Limitations of OLS and LAD methods • Central behaviors only • Conditional mean • Qunantitle Regression (QR) Model • Whole distribution • Conditional distribution
Key Question • The impacts of the identified determinants of profitability performance on firms are consistent with different levels of firm’s profitability quantiles?
Motivations • Certain puzzles of the relations between firm profitability and its determinants: • R&D expense • Size effect on the profitability • Debt ratio puzzle
Motivations • Firm life cycle • Adizes (1988): • Business strategies and organizational structures of firms vary according to the problems faced at different life cycle stages of the organization
Prior Studies on Life-cycle Theory • The concept of corporate life-cycle stage has generated considerable applied interest • Dodge et al. (1994) on the relationship between operation strategies and life cycles • Beldona et al. (1997) and Robinson (1998) on effects of operation strategies on performance at various firm life cycle stages • Kimberley and Miles (1980) and Dodge and Robins (1992) positing that organization structure reflects current life cycle stage • Adizes (1979); Miller and Friesen (1984); Alexander et al. (1993); and Maturi (1999) examining the relationship between CEO leadership styles and life cycle stages • Anthony and Ramesh (1992), Black (1998) and Jorion and Talmor (2001) testing the impact of life-cycle on corporate earnings.
Key Limitation of Prior Studies • Segment sample companies into various subsets • Use criteria such as earnings and/or age • Apply traditional optimization techniques such as ordinary least squares (OLS) and least absolute deviation (LAD) to fit their subsets
Key Limitation of Prior Studies • The analytical framework in these studies was based on unconditional distribution of firm samples • This form of “truncation of samples” may yield invalid results • As demonstrated by Heckman (1979), such methods often exhibit sample selection bias
Key Advantage of QR • A valid alternative is the quantile regression framework, which segments the sample into subsets defined by conditioning covariates • Moreover, in comparison with the least square method, quantile regression offers a relatively rich description of the conditional mean for extreme cases in the samples
Empirical Methods • No quantile models: OLS and LAD
Empirical Methods • Quantile regression model
Empirical Methods • Quantile regression model
Data • Sample S&P500 firms over the 10-year period from 1996 to 2005 were analyzed • Financial firms were excluded • Firms were also excluded from the analysis if the specified financial data were not available for the entire 10-year period • The final sample included 2,078 firm observations • All data were obtained from the Compustat database.
Data • Return on equity (ROE) was selected as the proxy variable for firm profitability • Five determinants of profitability were recorded: • R&D expense • Company size • Debt ratio • Total asset turnover • Current ratio
Conclusions and Directions for Future Research • A comparative analysis: QR, OLS and LAD estimates • The nonlinearities derived from conditional QR: • size, significance and sign • It should be noted that certain existing puzzles of the relations between firm profitability and its determinants could be satisfactorily accounted for in this study
Conclusions and Directions for Future Research • Certain caveats • U.S. S&P 500 firms • Comparisons with models with other dynamic parameter designs • Proxy variable selection • Other determinants of firm profitability • Panel data