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Conventional and unconventional monetary policy reaction to uncertainty in advanced economies: evidence from quantile regressions

  • Christina Christou EMAIL logo , Ruthira Naraidoo and Rangan Gupta
Published/Copyright: December 16, 2019

Abstract

This paper investigates how the Federal Reserve (Fed) and the Bank of England, Bank of Japan and the European Central Bank reacted in the aftermath of the financial crisis by making use of both conditional and unconditional interest rate quantiles regressions and data on shadow short rate of interest and a measure of uncertainty. Firstly, the unconditional quantile regression offers some support for increased reaction by the Fed as the ZLB is approached. Secondly, the decreased reaction of the Fed and other monetary policy makers towards uncertainty particularly at lower conditional quantiles of interest rates lends support to expansionary mechanism in place during this time. Hence uncertainty is key to policy reaction, and more so during episodes of crisis.

JEL Classification: C22; E52

Award Identifier / Grant number: 2018/20

Funding statement: This work was supported by the Open University of Cyprus, Funder Id: http://dx.doi.org/10.13039/100012996, Grand No: 2018/20, Essays in Economics.

Appendix

Table 3:

Forward Looking Taylor-type rule: IVQ (Lee 2007) results using 3rd-order power series.

τWald test
0.050.100.200.300.400.500.600.700.800.900.95
Panel A: Inflation coefficients απ
 EA0.9855**0.5613**0.1964*0.1382**−0.0531**−0.0129**−0.2096**0.4300***0.3431**0.2855***0.1680**1.84 [0.0544]
 Japan−0.1245−0.7521−0.9478−0.5560**−0.4393**−0.6678−0.33210.20270.10270.12640.13340.64 [0.7821]
 UK0.52381.0574**0.4919**0.0701***−0.0509**−0.0432−0.05620.23650.12960.42740.1338***0.54 [0.8577]
 US 1.13231.4597***0.8343***0.1478***0.7185***1.2776***1.4844***1.8906***2.1985***2.4423***2.6881***3.03 [0.0011]
Panel B: Gap coefficients αy
 EA0.0146***0.0506***0.2194***0.2432***0.2720***0.2708***0.2229***0.2181***0.2034***0.2286***0.2094***3.49 0.0003
 Japan0.18560.20150.0674***0.0514***0.0702**0.0227***0.0591***0.0257***0.0243**0.0213**0.0240***1.73 [0.0767]
 UK0.2063***0.3578***0.2922**0.3227***0.2056***0.2775***0.2697***0.3099***0.3731***0.2441***0.1445***1.46 [0.1537]
 US −0.4042−0.28780.0074***0.0185***0.0495***0.0597***0.2080***0.3070***0.3638***0.5211***0.5512***4.33 [0.0000]
Panel C: EPU coefficients αepu
 EA−0.0828***−0.0793***−0.0590***−0.0463***−0.0429***−0.0417***−0.0401***−0.0353***−0.0249***−0.0223***−0.0223***8.11 [0.0000]
 Japan−0.0369***−0.0497***−0.0301***−0.0170***−0.0101***−0.0139***−0.0042***0.0025***−0.0003***0.0011***−0.0020***0.77 [0.6547]
 UK−5.9176***−5.6592***−5.1127***−5.1449***−5.0611***−4.6806***−4.8604***−4.9421***−4.1461***−4.1799***−3.8998***2.61 [0.0050]
 US −0.1171***−0.0946***−0.0958***−0.1128***−0.1070***−0.0955***−0.0791***−0.0564***−0.0384***−0.0271***−0.0078***14.61 [0.0000]
  1. Monetary rule: where it is the end of month shadow interest rate, πt+12 is the forward looking inflation, yt is the output gap, and eput is the economic policy uncertainty index. Instruments: 1–3 lags of inflation, output gap and epu. *, **, *** indicate statistical significance at 10%, 5% and 1% statistical levels, respectively. Wald statistic tests the null hypothesis of parameter equality across quantiles. IVQ regressions calculations use power series with k = 3. Figures in square brackets are p-values.

Table 4:

Forward looking Taylor-type rule: IVQ (Lee 2007) results using 5th-order power series.

τWald test
0.050.100.200.300.400.500.600.700.800.900.95
Panel A: Inflation coefficients απ
 EA0.71560.67120.06600.1400−0.1049−0.1784−0.14060.36690.25700.29080.04402.28 [0.0182]
 Japan0.3570−0.4202−1.0473*−0.5144−0.4767−0.5719−0.34610.16480.16840.10250.04390.64 [0.7821]
 UK0.66940.78580.51230.6291*0.18030.11250.2017−0.06810.16060.3624−0.58170.58 [0.8317]
 US 1.5754**1.0651*1.2215*0.62560.63311.03801.2652*1.8998***2.0167***2.4165***1.5310**1.94 [0.0389]
Panel B: Gap coefficients αy
 EA0.04650.01160.1801*0.2346***0.2698***0.2440***0.2334***0.1945***0.1899***0.2056***0.2293***2.35 [0.0117]
 Japan0.19650.19630.09580.07370.06640.03080.0614*0.0404*0.0273*0.0189*0.0171*1.40 [0.1796]
 UK0.06070.12240.2271**0.2352***0.2428***0.2236***0.2278***0.2942***0.3955***0.20710.14531.82 [0.0588]
 US −0.5042***−0.3328***−0.1187−0.0409−0.01020.08310.2796**0.3844***0.5259***0.5676***0.7133***5.45 [0.0000]
Panel C: EPU coefficients αepu
 EA−0.0797***−0.0751***−0.0592***−0.0456***−0.0430***−0.0408***−0.0413***−0.0351***−0.0261***−0.0220***−0.0193***6.65 [0.0000]
 Japan0.00390.0156−0.0063−0.0084*−0.0082*−0.0075*−0.0051*0.00060.00090.0002−0.0013*0.77 [0.6547]
 UK−5.8716***−5.7361***−5.2243***−5.1449***−5.0436***−5.0415***−4.9331***−4.8439***−4.8017***−4.4973***−3.8969***2.90 [0.0020]
 US −0.0802***−0.0904***−0.0912***−0.0901***−0.0904***−0.0762***−0.0564***−0.0391***−0.00870.00170.003626.03 [0.0000]
  1. Monetary rule: it=α0(τ)+απ(τ)πt+12+αy(τ)yt+αepu(τ)eput, where it is the end of month shadow interest rate, πt+12 is the forward looking inflation, yt is the output gap, and eput is the economic policy uncertainty index. Instruments: 1–3 lags of inflation, output gap and epu. *, **, *** indicate statistical significance at 10%, 5% and 1% statistical levels, respectively. Wald statistic tests the null hypothesis of parameter equality across quantiles. IVQ regressions calculations use power series with k = 5. Figures in square brackets are p-values.

Table 5:

Backward-looking Taylor-type rule: IVQ (Lee 2007) results using 2nd-order polynomial.

τ
0.050.100.200.300.400.500.600.700.800.900.95
Panel A: inflation coefficients απ
 EA0.6978**0.4473**0.3162*0.1867**0.3488**0.3469**0.5015**0.4372***0.6058**0.3232***0.4689**2.02 [0.0317]
 Japan−0.7498−1.3574−0.9381−0.4288**−0.0373**0.22700.20980.50970.18330.05420.04420.99 [0.4534]
 UK−0.10410.2358**−0.3443**−0.4066***−0.4695**−0.6316−0.4131−0.29230.0544−0.1206−0.0682***0.22 [0.9938]
 US 0.39530.5544***0.6996***0.8303***0.6530***1.1338***1.2956***1.4050***1.5551***2.5220***2.1431***0.89 [0.5427]
Panel B: Gap coefficients αy
 EA0.3040***0.3088***0.2711***0.2684***0.2452***0.2370***0.2025***0.1896***0.1512***0.0933***0.0541***0.80 [0.6316]
 Japan−0.2670−0.01830.0662***0.0302***0.0212**0.0367***0.0434***0.0587***0.0293**0.0233**0.0257***1.98 [0.0356]
 UK0.2060***0.4369***0.3385**0.2961***0.2908***0.2934***0.3527***0.3985***0.3174***0.2847***0.1630***0.79 [0.0000]
 US −0.2820−0.24310.0496***0.4184***0.0322***0.0321***0.2533***0.3740***0.6344***0.5869***0.5550***2.91 [0.0016]
Panel C: EPU coefficients αepu
 EA−0.0898***−0.0899***−0.0841***−0.0825***−0.0810***−0.0792***−0.0777***−0.0756***−0.0750***−0.0691***−0.0730***15.80 [0.0000]
 Japan−0.0780***−0.0731***−0.0643***−0.0712***−0.0603***−0.0438***−0.0331***0.0073***−0.0015***0.0025***−0.0037***0.97 [0.4696]
 UK−6.0397***−5.3121***−4.9415***−4.7365***−4.4479***−4.1389***−3.8003***−3.3262***−3.2612***−3.3176***−3.8631***2.60 [0.0053]
 US −0.0803***−0.0903***−0.0902***−0.0938***−0.0890***−0.0810***−0.0678***−0.0491***−0.0282***−0.0033***−0.0004***8.97 [0.0000]
  1. Monetary rule: it=α0(τ)+απ(τ)πt12+αy(τ)yt+αepu(τ)eput, where it is the end of month shadow interest rate, πt–12 is the backward looking inflation, yt is the output gap, and eput is the economic policy uncertainty index. Instruments: 1–3 lags of inflation, output gap and epu. *, **, *** indicate statistical significance at 10%, 5% and 1% statistical levels, respectively. Wald statistic tests the null hypothesis of parameter equality across quantiles. IVQ regressions calculations use power series with k = 2. Figures in square brackets are p-values.

Table 6:

Contemporaneous Taylor-type rule: IVQ (Lee 2007) results using 2nd-order power series.

τWald test
0.050.100.200.300.400.500.600.700.800.900.95
Panel A: Inflation coefficients απ
 EA0.0983**0.6857**0.6691*0.4013**0.1192**0.0211**0.0334**0.3481***0.2995**0.2288***0.0231**0.68 [0.7442]
 Japan−0.0976−0.5565−0.7669−0.7158**−0.5436**−0.25320.16210.22670.03760.02310.07540.91 [0.5233]
 UK0.038310.1723**0.0583**−0.2631***−0.3839**−0.14090.28160.60470.1386−0.04810.1586***0.33 [0.9726]
 US 1.63870.7714***1.1919***0.8855***0.6120***0.7107***0.9847***1.2719***2.3995***1.8278***2.3486***0.78 [0.6480]
Panel B: Gap coefficients αy
 EA0.1831***0.0797***0.1898***0.2442***0.2368***0.2952***0.2356***0.2144***0.1834***0.2292***0.2079***1.64 [0.0950]
 Japan0.20320.08930.1860***0.0878***0.0663**0.0121***0.0681***0.0321***0.0246**0.0179**0.0079***2.08 [0.0266]
 UK0.2649***0.3495***0.3248**0.3175***0.2795***0.2485***0.3199***0.3908***0.3516***0.2984***0.1347***0.74 [0.6890]
 US −0.3247−0.24050.0368***0.0101***0.0220***0.0677***0.3109***0.4347***0.3981***0.5660***0.6702***3.87 [0.0001]
Panel C: EPU coefficients αepu
 EA−0.0815***−0.0778***−0.0731***−0.0582***−0.0458***−0.0448***−0.0431***−0.0367***−0.0282***−0.0215***−0.0210***14.04 [0.0000]
 Japan−0.0101***−0.0135***−0.0226***−0.0096***−0.0093***−0.0103***−0.0047***0.0017***−0.0001***0.0003***−0.0015***0.72 [0.7026]
 UK−5.7669***−5.2337***−4.9601***−4.8114***−4.5953***−4.3952***−4.0064***−3.5966***−3.6440***−3.7882***−3.8795***4.25 [0.0000]
 US −0.0791***−0.0814***−0.0839***−0.0882***−0.0894***−0.0794***−0.0506***−0.0368***−0.0069***0.0089***0.0180***13.09 [0.0000]
  1. Monetary rule: it=α0(τ)+απ(τ)πt+αy(τ)yt+αepu(τ)eput, where it is the end of month shadow interest rate, πt is the inflation, yt is the output gap, and eput is the economic policy uncertainty index. Instruments: 1–3 lags of inflation, output gap and epu. *, **, *** indicate statistical significance at 10%, 5% and 1% statistical levels, respectively. Wald statistic tests the null hypothesis of parameter equality across qantiles. IVQ regressions calculations use power series with k = 2. Figures in square brackets are p-values.

Table 7:

Forward looking Taylor-type rule with annualised inflation: IVQ (Lee 2007) results using 2nd-order power series.

τWald test
0.050.100.200.300.400.500.600.700.800.900.95
Panel A: Inflation coefficients απ
 EA0.7739***1.2431***1.2799***0.7421***0.5484**0.3304*0.08630.07390.13740.2447*0.2620**1.94 [0.0410]
 Japan−0.7488−0.3195−0.5923***−0.6272***−0.4285***−0.4297***−0.3278**0.09280.04990.04830.05530.74 [0.6885]
 UK−0.1516−0.0541−0.1021−0.0586−0.0177−0.0926−0.11210.1828−0.4259**−0.9451***−1.0793***0.59 [0.4497]
 US 1.0465***0.9584***1.1359***1.3528***1.5158***1.5006***1.1580***1.0909***1.1112***1.1219***1.0888***1.79 [0.0609]
Panel B: Gap coefficients αy
 EA−0.0622−0.03280.07140.1642*0.2028**0.2745***0.2753***0.2289***0.1914***0.2090***0.2149***1.83 [0.0561]
 Japan0.23920.20330.1227**0.1002*0.06920.00580.03310.0555**0.0254*0.0182*0.0200**1.69 [0.0822]
 UK0.04040.2817*0.1834*0.2621***0.2103***0.2030***0.2425***0.3086***0.4397***0.4334***0.4385***1.15 [0.3239]
 US 0.0158−0.1093−0.2190*−0.2168*−0.10830.06710.2200**0.3137***0.3598***0.3888***0.1675*9.39 [0.0000]
Panel C: EPU coefficients αepu
 EA−0.0625***−0.0434***−0.0343***−0.0388***−0.0379***−0.0432***−0.0423***−0.0363***−0.0279***−0.0215***−0.0199***9.08 [0.0000]
 Japan0.00600.0056−0.0105*−0.0092*−0.0088*−0.0094*−0.0109*0.00350.0006−0.0001−0.00000.80 [0.6256]
 UK−5.7971***−5.4694***−5.0885***−4.9765***−4.9029***−4.6028***−4.5861***−4.4474***−3.3961***−3.3852***−3.4977***3.21 [0.0007]
 US −0.0671***−0.0734***−0.0769***−0.0780***−0.0784***−0.0706***−0.0586***−0.0473***−0.0400***−0.0289***−0.0016***20.66 [0.0000]
  1. Monetary rule: it=α0(τ)+απ(τ)πt+12+αy(τ)yt+αepu(τ)eput, where it is the end of month shadow interest rate, πt+12 is the forward looking annualised inflation, yt is the output gap, and eput is the economic policy uncertainty index. Instruments: 1–3 lags of inflation, output gap and epu. *, **, *** indicate statistical significance at 10%, 5% and 1% statistical levels, respectively. Wald statistic tests the null hypothesis of parameter equality across quantiles. IVQ regressions calculations use power series with k = 5. Figures in square brackets are p-values.

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Supplementary Material

The online version of this article offers supplementary material (DOI: https://doi.org/10.1515/snde-2018-0056).


Published Online: 2019-12-16

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