AD-AS Analysis from the Perspective of Functional Finance Theory and MMT

Yasuhito Tanaka
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Abstract

Abstract Research background In the past few years, MMT (Modern Money Theory or Modern Monetary Theory) has been increasingly discussed in Japan as well as in the U.S. However, both in the U.S. and Japan, analysis using mathematics is lacking and analysis using IS-LM and AD-AS analysis methods in macroeconomics is almost non-existent. Purpose We present an AD-AS analysis from the perspective of Functional Finance Theory and MMT (Modern Monetary Theory). Research methodology Graphical analyses with some mathematical analyses. Mathematical analyses include graphic analysis using AD and AS curves and calculations to derive equations representing them based on models of consumer and firm behavior. Results Using an overlapping generations model under monopolistic competition we show the following results by calculations and graphical analyses. 1. The budget deficit (including interest payments on government bonds) equals an increase in the savings of consumers from period to period. This result means that the debt-GDP ratio would not diverge to infinity, but would remain at a finite value whether the interest rate of government bonds is larger or smaller than the growth rate. 2. We need a budget deficit (including interest payments) to maintain full employment without inflation under economic growth. However, if the interest rate of government bonds is larger than the growth rate, we need a budget surplus (excluding interest payments) to maintain full employment without inflation. 3. A return to full employment from a recession can be achieved by implementing the appropriate fiscal policies through increased government spending or tax cuts. 4. Excessive government expenditure or an insufficient tax under full employment induces inflation. Novelty This is probably the first AD-AS analysis done from the standpoint of Functional Finance Theory and MMT.
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功能金融理论与MMT视角下的AD-AS分析
摘要研究背景近年来,MMT (Modern Money Theory,现代货币理论)在日本和美国都得到了越来越多的讨论。然而,无论是在美国还是在日本,宏观经济学中都缺乏使用数学进行分析,几乎没有使用is - lm和AD-AS分析方法进行分析。目的从功能金融理论和现代货币理论的角度对AD-AS进行分析。研究方法:图形分析结合数学分析。数学分析包括使用AD和AS曲线的图形分析,以及根据消费者和企业行为模型推导出代表它们的方程的计算。结果利用垄断竞争条件下的代际重叠模型,通过计算和图形分析得到了以下结果。1. 预算赤字(包括政府债券的利息支付)等于每一时期消费者储蓄的增加。这一结果意味着,无论国债利率是大于还是小于增长率,债务与gdp之比都不会发散到无穷大,而是保持在一个有限值。2. 我们需要预算赤字(包括利息支付),以在经济增长的情况下维持充分就业,同时避免通胀。然而,如果国债利率高于增长率,我们需要预算盈余(不包括利息支付)来维持没有通胀的充分就业。3.通过实施适当的财政政策,增加政府支出或减税,可以从衰退中恢复到充分就业。4. 在充分就业的情况下,过度的政府开支或不足的税收会导致通货膨胀。这可能是第一次从功能金融理论和MMT的角度对AD-AS进行分析。
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