A Markov switching approach to business cycles in India

IF 1.4 4区 经济学 Q3 ECONOMICS
Mathew Koshy Odasseril, K. R. Shanmugam
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It is our hope that these results will be useful to policymakers and other stakeholders to understand the business cycle issue in India and take appropriate strategies to overcome the problems associated with these cycles.Keywords: Indian economybusiness cyclesMarkov switchingturning pointsforecastsJEL CLASSIFICATION: C22C51E32E37E66 AcknowledgmentBoth authors are thankful to anonymous referees of the journal for their useful comments and suggestions.Disclosure statementNo potential conflict of interest was reported by the authors.Notes1 The switching model dates back to Quandt (Citation1958), Goldfeld and Quandt (Citation1973), Barber, Robertson, and Scott (Citation1997), and Lindgren (Citation1978).2 The economic interpretation of these three regimes is as follows: a low growth regime is characterized by a negative/low growth rate, and is therefore associated with the classic recession phases; an intermediate growth regime or a regime of moderate expansion in which the economic growth rate is below the trend growth rate without recession; and a high expansion regime where the economic growth rate is above the trend, representing a strong phase of the growth cycles.3 In India, the nation-wide lockdown was implemented on 25th March 2020 (MHA 2020). As suggested in Srivastava et al. (Citation2021), we assume that the small number of days of lockdown in March 2020 would not severely affect the GDP figure in that quarter. Hence, our sample period ends at 2020Q4 (corresponds to March 2020).4 The GDP quarterly data are available with different base year. From 1998Q1 to 2004Q4, the base is 1999-00; from 2005Q1 to 2011Q4, the base is 2004-05 and after that the base is 2011–12. Since this study uses the growth rate, the base change does not affect the analysis.5 The ADF test values are -3.963 (p = 0.002) for the data without COVID period and -3.390 (p= 0.0137) for the data including the COVID period data.6 This is in line with Dua and Sharma (Citation2016) who used MS(3)-AR(0) specification.7 To check the validity of the model, the sample size is restricted to 1983Q1 to 2016Q4 for estimating the Model 1, which is used to make the forecast from 2017Q1 to 2020Q4. While the real GDP had fluctuated between 2.94 per cent (2020Q4) and 9.66 per cent (2017Q2) during the forecast period, a comparison of the forecasts with the actual data reveals that the RMSE is just 0.72 per cent whereas the mean absolute error is 0.51 per cent. Theil’s U2 inequality coefficient is just 0.64. These results imply that the forecast accuracy is good. A similar exercise for Model 2 produces RMSE of 1.25 per cent and a Mean Absolute Error of 1.12 per cent8 RBI’s Report on Currency and Finance (2022–23) shows that India’s output loss (real) was ₹19.1 lakh crore in 2020–21, ₹17.1 lakh crore in 2021–22 and ₹16.4 lakh crore in 2022–23, i.e. a total loss of ₹52.6 lakh crore in the short run.9 If India reaches US5 trillion-dollar economy by 2024–25 as targeted, India’s per capita income will cross the minimum per capita GDP required to be an upper middle-income country (US$4466) by 2027–28. 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引用次数: 0

Abstract

AbstractThis is the first empirical study that analyzes the nature of business cycles in India using quarterly GDP growth data from 1998Q1 to 2022Q4 and the Markov Switching Auto-regressive model. In order to capture the impact of exclusion and inclusion of post pandemic period data, it has developed two alternative models. Based on these models, the study provides the forecast of quarterly GDP growth and cumulative real output losses due to the pandemic. It also provides alternative scenarios and trajectories of the Indian economy towards the US$ 5 trillion milestone. It is our hope that these results will be useful to policymakers and other stakeholders to understand the business cycle issue in India and take appropriate strategies to overcome the problems associated with these cycles.Keywords: Indian economybusiness cyclesMarkov switchingturning pointsforecastsJEL CLASSIFICATION: C22C51E32E37E66 AcknowledgmentBoth authors are thankful to anonymous referees of the journal for their useful comments and suggestions.Disclosure statementNo potential conflict of interest was reported by the authors.Notes1 The switching model dates back to Quandt (Citation1958), Goldfeld and Quandt (Citation1973), Barber, Robertson, and Scott (Citation1997), and Lindgren (Citation1978).2 The economic interpretation of these three regimes is as follows: a low growth regime is characterized by a negative/low growth rate, and is therefore associated with the classic recession phases; an intermediate growth regime or a regime of moderate expansion in which the economic growth rate is below the trend growth rate without recession; and a high expansion regime where the economic growth rate is above the trend, representing a strong phase of the growth cycles.3 In India, the nation-wide lockdown was implemented on 25th March 2020 (MHA 2020). As suggested in Srivastava et al. (Citation2021), we assume that the small number of days of lockdown in March 2020 would not severely affect the GDP figure in that quarter. Hence, our sample period ends at 2020Q4 (corresponds to March 2020).4 The GDP quarterly data are available with different base year. From 1998Q1 to 2004Q4, the base is 1999-00; from 2005Q1 to 2011Q4, the base is 2004-05 and after that the base is 2011–12. Since this study uses the growth rate, the base change does not affect the analysis.5 The ADF test values are -3.963 (p = 0.002) for the data without COVID period and -3.390 (p= 0.0137) for the data including the COVID period data.6 This is in line with Dua and Sharma (Citation2016) who used MS(3)-AR(0) specification.7 To check the validity of the model, the sample size is restricted to 1983Q1 to 2016Q4 for estimating the Model 1, which is used to make the forecast from 2017Q1 to 2020Q4. While the real GDP had fluctuated between 2.94 per cent (2020Q4) and 9.66 per cent (2017Q2) during the forecast period, a comparison of the forecasts with the actual data reveals that the RMSE is just 0.72 per cent whereas the mean absolute error is 0.51 per cent. Theil’s U2 inequality coefficient is just 0.64. These results imply that the forecast accuracy is good. A similar exercise for Model 2 produces RMSE of 1.25 per cent and a Mean Absolute Error of 1.12 per cent8 RBI’s Report on Currency and Finance (2022–23) shows that India’s output loss (real) was ₹19.1 lakh crore in 2020–21, ₹17.1 lakh crore in 2021–22 and ₹16.4 lakh crore in 2022–23, i.e. a total loss of ₹52.6 lakh crore in the short run.9 If India reaches US5 trillion-dollar economy by 2024–25 as targeted, India’s per capita income will cross the minimum per capita GDP required to be an upper middle-income country (US$4466) by 2027–28. But as per our model, it will reach 5 trillion US dollar mark in 2028–29 and therefore, India will reach the upper middle income country status by 2030-31. For this purpose, we use the projected population data for India provided by UN (Citation2022).Additional informationNotes on contributorsMathew Koshy OdasserilK.R. Shanmugam is the director and professor of Madras School of Economics (India). He is specialized in Public Economics, Macroeconomic modelling and Applied Economics. He has published more than 50 research articles in various national and international journals.K. R. ShanmugamMathew Koshy Odasseril is a senior Research Scholar at Madras School of Economics. He is specialized on Macro Economic modelling and Public Economics.
印度商业周期的马尔可夫转换方法
摘要本文首次利用1998Q1 - 2022Q4季度GDP增长数据和马尔可夫切换自回归模型分析了印度商业周期的本质。为了把握排除和纳入大流行后时期数据的影响,它开发了两种替代模型。根据这些模型,该研究预测了季度GDP增长和疫情造成的累计实际产出损失。它还提供了印度经济走向5万亿美元里程碑的替代方案和轨迹。我们希望这些结果将有助于政策制定者和其他利益相关者了解印度的商业周期问题,并采取适当的策略来克服与这些周期相关的问题。关键词:印度经济商业周期马尔可夫转换拐点预测jel分类:C22C51E32E37E66致谢感谢匿名审稿人的宝贵意见和建议。披露声明作者未报告潜在的利益冲突。注1转换模型可以追溯到Quandt (Citation1958), Goldfeld and Quandt (Citation1973), Barber, Robertson, and Scott (Citation1997)和Lindgren (Citation1978)对这三种制度的经济学解释如下:低增长制度的特点是负/低增长率,因此与经典的衰退阶段有关;中等增长制度或适度扩张制度,其中经济增长率低于趋势增长率而没有衰退;经济增长率高于趋势的高扩张体制,代表增长周期的强劲阶段印度于2020年3月25日实施全国封锁(MHA 2020)。正如Srivastava等人(Citation2021)所建议的那样,我们假设2020年3月的短时间封锁不会严重影响该季度的GDP数据。因此,我们的样本周期结束于2020Q4(对应于2020年3月)国内生产总值季度数据有不同的基准年。从1998Q1到2004Q4,基数为1999-00;2005年第一季度至2011年第四季度,基数为2004-05年,之后基数为2011-12年。由于本研究使用的是增长率,所以基数的变化不会影响分析不含COVID期数据的ADF测试值为-3.963 (p= 0.002),含COVID期数据的ADF测试值为-3.390 (p= 0.0137)这与使用MS(3)-AR(0)规范的Dua和Sharma (Citation2016)一致为了检验模型的有效性,我们将模型1的样本量限定在1983Q1 - 2016Q4,用于对2017Q1 - 2020Q4进行预测。虽然在预测期内,实际GDP在2.94% (2020Q4)和9.66% (2017Q2)之间波动,但将预测与实际数据进行比较后发现,RMSE仅为0.72%,而平均绝对误差为0.51%。泰尔的U2不平等系数仅为0.64。结果表明,预报精度较高。对模型2进行类似的练习,RMSE为1.25%,平均绝对误差为1.12% 8印度储备银行的货币和金融报告(2022-23)显示,印度的产出损失(实际)在2020-21年为191万亿卢比,2021-22年为17.1万亿卢比,2022-23年为16.4万亿卢比,即短期内总损失为52.6万亿卢比如果印度按照目标到2024-25年达到5万亿美元的经济规模,那么到2027-28年,印度的人均收入将超过成为中高收入国家所需的最低人均GDP(4466美元)。但根据我们的模型,印度将在2028-29年达到5万亿美元大关,因此,印度将在2030-31年达到中高收入国家的地位。为此,我们使用了联合国提供的印度预计人口数据(Citation2022)。其他信息贡献者说明mathew Koshy OdasserilK.R。Shanmugam是印度马德拉斯经济学院的院长和教授。他的专长是公共经济学、宏观经济建模和应用经济学。他在各种国内和国际期刊上发表了50多篇研究论文。R. ShanmugamMathew Koshy Odasseril是马德拉斯经济学院的高级研究学者。他的研究方向是宏观经济建模和公共经济学。
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来源期刊
CiteScore
3.70
自引率
7.10%
发文量
58
期刊介绍: Journal of the Asia Pacific Economy (JAPE) is concerned primarily with the developing economies within Pacific Asia and South Asia. It aims to promote greater understanding of the complex factors that have influenced and continue to shape the transformation of the diverse economies in this region. Studies on developed countries will be considered only if they have implications for the developing countries in the region. The journal''s editorial policy is to maintain a sound balance between theoretical and empirical studies. JAPE publishes research papers in economics but also welcomes papers that deal with economic issues using a multi-disciplinary approach. Submissions may range from overviews spanning the region or parts of it, to papers with a detailed focus on particular issues facing individual countries. JAPE has a broad readership, which makes papers concerned with narrow and detailed technical matters inappropriate for inclusion. In addition, papers should not be simply one more application of a formal model or statistical technique used elsewhere. Authors should note that discussion of results must make sense intuitively, and relate to the institutional and historical context of the geographic area analyzed. We particularly ask authors to spell out the practical policy implications of their findings for governments and business. In addition to articles, JAPE publishes short notes, comments and book reviews. From time to time, it also publishes special issues on matters of great importance to economies in the Asia Pacific area.
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