Consumer models and the common influence of increasing VAT and decreasing wedges

Ciuiu, Daniel (2015): Consumer models and the common influence of increasing VAT and decreasing wedges. Published in: Proceedings of The 13-th Workshop of Department of Mathematics and Computer Science, Technical University of Civil Engineering, Bucharest, May 23 2015. , Vol. 1, No. 1 (September 2015): pp. 15-19.

Abstract

In this paper we study the common impact of increasing VAT and decreasing incomes in consumer models. The considered models are linear ones (see [3], [4] and [8]). It is in fact the extension of the study [2], where there was performed the study of the impact of only one of the mentioned government decision (increasing VAT). We have already noticed that applying the simple three rule is not appropriate. But the problems that arise come from the common impact. It is possible that if it is applied only the decreasing of the wedges (25%) , the incomes from selling products decreases by the ratio b , if we apply only increasing VAT the income decreases by the ratio a (we have obtained in [2] a = 4.01653 ignoring the dependence of quantity on wedges), but if there are applied both the income decreases by the ratio g ¹1−(1−a )(1−b ) . This is the general case, and the explanation of such phenomenon comes from analogous reasons as in [2]: the total income is the sold quantity multiplied by the price, hence we have not linearity. Another explanation comes from the least squares method: in the obtained linear system for estimating the three parameters (intercept, coefficient of prices and coefficient of wedges) both variables influence the result.

• Item Type: MPRA Paper
• Language: English
• Keywords: Linear regression; consumer models; interests
• Subjects: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General; C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C20 - General; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E21 - Consumption ; Saving ; Wealth

References

[1] Ciucu, G. and Craiu, V.: Inferentă statistică, Didactical and Pedagogical Publishing House, Bucharest, 1974. English: Statistical Inference.

[2] Ciuiu, D.: ''Linear Regression Applied to Consumer Models and the Impact of Increasing VAT'', in P. Matei, G. Groza and D. Tudor (eds), Proceedings of Mathematics and Educational Symposium of Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, June 14 2014, 26-29.

[3] Jula, D.: Introducere în econometrie, Professional Consulting, Bucharest, 2003. English: Introduction to Econometrics.

[4] Jula, D. and Jula, N.: Introducere în econometrie, Ed. Expert, Bucharest, 2012. English: Introduction to Econometrics.

[5] Preda, V.: Teoria deciziilor statistice, Ed. Academiei, Bucharest, 1992. English: The Theory of Statistical Decisions.

[6] Purcaru, I. and Purcaru, O.: Introducere în matematici financiare. Modele si formule, Biblioteca de Economie Matematică, Bucharest, 2005. English: Introduction to Financial Mathematics. Models and Formulae.

[7] Saporta, G.: Probabilités, Analyse des Donées et Statistique, Editions Technip, Paris, 1990.

[8] Voineagu, V. et al.: Teorie si practică econometrică, Meteor Press, Bucharest, 2007. English: Econometric Theory and Practice.