تحلیل ریاضی آثار نرخ بهره پولی بر توزیع درآمد شخصی در یک ساختار اقتصادکلان

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار گروه اقتصاد دانشگاه پیام نور کهگیلویه و بویراحمد

2 دانشیار گروه اقتصاد دانشکده اقتصاد و علوم سیاسی دانشگاه شهید بهشتی

3 دانشیار گروه اقتصاد دانشکده مدیریت، اقتصاد و حسابداری دانشگاه پیام نور تهران

10.29252/ecoj.10.1.161

چکیده

هدف پژوهش حاضر تحلیل ریاضی چگونگی شکل­گیری توزیع بلندمدت درآمد شخصی، مبتنی بر توزیع درآمد عوامل تولید است. به این منظور ابتدا با استخراج سهم نسبی عوامل تولید در الگوی نئوکلاسیک پایه، نشان داده می­شود که سهم درآمدی عوامل تولید صرفاً به پارامترهای ساختاری اقتصاد بستگی داشته و به مقدار سرمایه، مقدار نیروی­کار یا فن­آوری بستگی ندارد. سپس در راستای استخراج منحنی لورنز، پارامترهای جمعیتی و درآمدی اقتصاد مبتنی بر سهم نسبی دریافت کنندگان دستمزد، بازده سهام و  بهره پول، صورت­بندی می­شوند. در گام بعد با استفاده از ­شکل لاگرانژ چندجمله­ای درونیاب، معادله منحنی لورنز استخراج می شود. پس از آن با استفاده از منحنی لورنز ضریب جینی به دست می­آید. نتایج نشان می­دهد، در یک نظام پولی مبتنی بر نرخ بهره، ضریب جینی به صورت اتوماتیک به سمت عدد یک (1) همگرا می­شود. در این شرایط توزیع درآمد به ضرر گروههای دستمزدی و صاحبان سهام، تمایل به بدتر شدن دارد. نتایج این پژوهش نشان‌دهنده نقش منفی نظام پولی مبتنی بر نرخ بهره بر توزیع درآمد شخصی است.

کلیدواژه‌ها

عنوان مقاله [English]

A Mathematical Analysis for the Effects of Monetary Interest Rate on the Personal Income Distribution in a Macroeconomic Structure

نویسندگان [English]

  • Seyed Ehsan Askari 1
  • Mohammad Husain Pourkazemi 2
  • Jahanghir Biabani 3
1 Assistant Professor of Economics, University of Payame Noor (Kohkiloyeh and Boyerahmad Branches), (Corresponding Author)
2 Associate Professor of Economics, Faculty of Economics and Political Sciences, University of Shahid Beheshti
3 Associate Professor of Economics, Faculty of Management, Economics and Accountancy, University of Tehran Payame Noor (Tehran Branches)
چکیده [English]

This article provides a mathematical analysis of the formation of the long-run personal distribution income based on factor distribution in a macroeconomic structure. For this purpose, primarily with extraction, the relative factor’s share of national income in conventional macroeconomic production function showed that The factor's shares depend only on the parameter (α), not on the amounts of capital or labor or on the state of technology as measured by the parameter A. Then, in order to extraction, the Lorenz curve organized the parameters of population and economic income recipients based on the relative share of wage earners, stock returns and money interest. In the next step, using techniques of numerical analysis (Lagrange form of the interpolation polynomial), Lorenz curve equation derived based on the cardinal functions. Then we explain the integral Gini coefficient in terms of the Lorenz curve. Then we prove in a monetary system interest-based, the Gini coefficient automatically converges to one, in this condition the distribution of income get worse for wage earners and shareholders.  The results of this research are that interest-based monetary system has a negative effect on the personal income distribution.

کلیدواژه‌ها [English]

  • Gini Coefficient
  • Factor Distribution
  • Monetary Interest Rate
  • Personal Distribution

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