RDP 1977-05: Modelling Monetary Disequilibrium
						Appendix B: Parameter Estimates and Test Statistics for Models 2 and 3
					
					
					
	
		P.D. Jonson and J.C. Taylor
	
	
		September 1977
	
 
								
								
								
								TABLE B.1: PARAMETER ESTIMATES FOR GROUP 1 EQUATIONS
								
								1559(3) – 1975(4)
								
								
								
								
								| MODEL 2 | MODEL 3 | 
								
								| Parameter | Estimate | t-ratio | Parameter | Estimate | t-ratio | 
								
								
								
								| α1 | .6073 | 6.73 | α1 | .4857 | 6.23 | 
								
								| α2 | .7855 | 4.73 | α2 | .8215 | 4.78 | 
								
								| α3 | .1 |  | α3 | .1 |  | 
								
								| α4 | 2.1814 | 8.00 | α4 | 2.2976 | 7.58 | 
								
								| α5 | .1698 | 6.38 | α5 | .1629 | 6.65 | 
								
								| α6 | .0146 | 1.26 | α6 | .0075 | .72 | 
								
								| α7 | .3140 | 7.31 | α7 | .3112 | 7.29 | 
								
								| α8 | .6616 | 4.00 | α8 | .7411 | 4.40 | 
								
								| α9 | .0627 | 1.28 | α9 | .0793 | 1.61 | 
								
								| α10 | .0903 | 6.88 | α10 | .0980 | 7.29 | 
								
								| α11 | 0.0 |  | α11 | 0.0 |  | 
								
								| γ1 | −.1771 | 4.88 |  |  |  | 
								
								| λ1 | .012 |  | λ1 | .012 |  | 
								
								| λ2 | .0151 | 7.16 | λ2 | .0129 | 3.85 | 
								
								| λ3 | .0025 |  | λ3 | .0025 |  | 
								
								| λ4 | .020 |  | λ4 | .020 |  | 
								
								| β1 | 1.0 |  | β1 | 1.0 |  | 
								
								| β2 | −1.1447 | 3.25 | β2 | −.4624 | 2.30 | 
								
								| β3 | −3.8 |  | β3 | −3.8 |  | 
								
								| β4 | −2.3820 | 2.48 | β4 | .0062 | 7.69 | 
								
								| β5 | −.01 |  | β5 | −.01 |  | 
								
								| β6 | .2044 | 2.08 | β6 | .0079 | .69 | 
								
								| β7 | .3 |  | β7 | .3 |  | 
								
								| β8 | −.2433 | 4.55 | β8 | −.2533 | 4.84 | 
								
								| β9 | .7 |  | β9 | .7 |  | 
								
								| β10 | .8 |  | β10 | .8 |  | 
								
								| β11 | .0223 | 3.59 | β11 | .0223 | 3.41 | 
								
								| β12 | 0.0 |  | β12 | 0.0 |  | 
								
								| β13 | .1 |  | β13 | .1 |  | 
								
								| β14 | 0.0 |  | β14 | 0.0 |  | 
								
								| β15 | .1911 | 11.89 | β15 | .1787 | 12.66 | 
								
								| β16 | 1.3612 | 8.64 | β16 | 1.4618 | 9.06 | 
								
								| β17 | .2929 | 6.02 | β17 | .3176 | 6.46 | 
								
								| β18 | .0370 | .17 | β18 | .1274 | .80 | 
								
								| β19 | −.01 |  | β19 | −.01 |  | 
								
								| β20 | −.0387 | 2.78 | β20 | −.0104 | .75 | 
								
								| β21 | 16.9364 | 5.19 | β21 | 17.9029 | 5.76 | 
								
								| β22 | −.3826 | 5.84 | β22 | −.3585 | 5.81 | 
								
								| β23 | 3.3082 | 12.01 | β23 | 3.2010 | 12.7 | 
								
								
								 
 
								
								
								
								TABLE B.2: PARAMETER ESTIMATES FOR GROUP 2 EQUATIONS
								
								
								
								| MODEL 2 | MODEL 3 | 
								
								| Parameter | Estimate | t-ratio | Parameter | Estimate | t-ratio | 
								
								
								
								| α12 | .1898 | 8.13 | α12 | .1943 | 8.35 | 
								
								| α13 | 1.3439 | 7.48 | α13 | 1.2647 | 6.74 | 
								
								| α14 | 2.0 |  | α14 | 2.0 |  | 
								
								| α15 | 1.1155 | 7.56 | α15 | 1.0030 | 6.28 | 
								
								| α16 | .5 |  | α16 | .5 |  | 
								
								| α17 | 1.2018 | 5.01 | α17 | 1.1423 | 4.97 | 
								
								| α18 | .1587 | 10.93 | α18 | .1525 | 10.37 | 
								
								| α19 | .26 |  | α19 | .26 |  | 
								
								| α20 | 1.0732 | 5.63 | α20 | 1.1247 | 5.99 | 
								
								| α21 | .1420 | 2.56 | α21 | .1517 | 2.81 | 
								
								| α22 | .9639 | 5.28 | α22 | .9316 | 5.35 | 
								
								| α23 | .0045 | .75 | α23 | .0081 | 1.11 | 
								
								| α24 | .0184 | 1.52 | α24 | .0079 | .69 | 
								
								| α25 | .0318 | 3.61 | α25 | .0348 | 3.94 | 
								
								| β24 | −.0929 | 1.79 | β24 | −.1024 | 2.08 | 
								
								| β25 | −.3391 | 5.86 | β25 | −.3278 | 5.49 | 
								
								| β26 | .2401 | 5.45 | β26 | .1950 | 4.07 | 
								
								| β27 | −.5324 | 6.71 | β27 | −.5757 | 7.26 | 
								
								| β28 | .5 |  | β28 | .5 |  | 
								
								| β29 | 2.7572 | 5.75 | β29 | 2.3730 | 4.80 | 
								
								| β30 | −.0057 | .16 | β30 | −.0024 | .07 | 
								
								| β31 | −.8597 | 10.22 | β31 | −.8565 | 10.17 | 
								
								| β32 | .2406 | 6.71 | β32 | .2355 | 6.56 | 
								
								| β33 | .8345 | 31.51 | β33 | .8391 | 29.96 | 
								
								| β34 | 10.0692 | .6.52 | β34 | 10.6939 | 6.95 | 
								
								| β35 | −.2 |  | β35 | −.2 |  | 
								
								| β36 | 1.8643 | 20.00 | β36 | 1.8788 | 19.78 | 
								
								| β37 | .0884 | 4.38 | β37 | .0969 | 2.83 | 
								
								| β38 | −.0178 | 3.34 | β38 | −.0064 | .67 | 
								
								| β39 | .0320 | 8.55 | β39 | .0298 | 4.97 | 
								
								| β40 | −3.2407 | 4.15 | β40 | −3.0889 | 2.46 | 
								
								| β41 | 4.4307 | 5.04 | β41 | 3.0785 | 2.09 | 
								
								| β42 | 1,0708 | 35.58 | β42 | 1,0631 | 33.95 | 
								
								| β43 | .0079 | 11.75 | β43 | .0062 | 7.69 | 
								
								| β44 | −.0038 | 4.86 | β44 | −.0021 | 2.23 | 
								
								| β45 | .1208 | 7.95 | β45 | .1079 | 5.12 | 
								
								| β46 | −.0156 | 5.97 | β46 | −.0204 | 5.98 | 
								
								| β47 | .1215 | 5.09 | β47 | .0862 | 2.98 | 
								
								| β48 | −.0184 | 4.21 | β48 | −.0162 | 3.43 | 
								
								| β49 | .1807 | 1.93 | β49 | .2724 | 2.66 | 
								
								| β50 | −.0166 | .89 | β50 | −.0376 | 1.95 | 
								
								| β51 | .1741 | 1.29 | β51 | .0592 | .38 | 
								
								| β52 | .1027 | 12.72 | β52 | .1010 | 11.98 | 
								
								| β53 | .0663 | 14.70 | β53 | .0705 | 14.61 | 
								
								
 
								 
								
								
								
								TABLE B.3: TEST STATISTICS FOR MODELS 2 AND 3
								
								
								
								| Variable | MODEL 2 | MODEL 3 | 
								
								| r2 | RMSPE1 | RMSPE2 | r2 | RMSPE1 | RMSPE2 | 
								
								
								
								| d | .1603 | .9 | 2.7 | .1451 | .9 | 2.2 | 
								
								| k | .2981 | .002* | .002* | .2957 | .002* | .002* | 
								
								| l | .3417 | .004* | .004* | .3386 | .005* | .004* | 
								
								| P | .2637 | 1.1 | 2.8 | .2597 | 1.1 | 4.5 | 
								
								| Px | .2303 | 2.9 | 3.9 | .2310 | 2.9 | 3.8 | 
								
								| W | .5295 | .8 | 2.7 | .5053 | .8 | 3.9 | 
								
								| r | .2442 | 2.1 | 10.9 | .2778 | 2.1 | 10.3 | 
								
								| M | .6971 | .7 | 4.6 | .7091 | .7 | 8.7 | 
								
								| N | .3223 | .2 | .8 | .3189 | .2 | .8 | 
								
								| x | .4051 | 5.8 | 5.3 | .4006 | 5.8 | 5.5 | 
								
								| i | .3843 | 4.6 | 7.8 | .3621 | 4.6 | 7.3 | 
								
								| y | .2505 | 2.1 | 2.9 | .2381 | 2.1 | 2.8 | 
								
								| Pg | .1583 | 2.2 | 5.4 | .1589 | 2.1 | 4.2 | 
								
								| B | .3277 | 1.4 | 4.9 | .3306 | 1.8 | 3.3 | 
								
								| A | .5516 | 1.0 | 3.3 | .5523 | 1.0 | 8.9 | 
								
								| T1 | .4462 | 7.5 | 8.4 | .4454 | 7.5 | 8.5 | 
								
								| T2 | .2204 | 2.7 | 4.8 | .2072 | 2.8 | 6.0 | 
								
								| R | .3016 | 5.7 | 33.4 | .3270 | 5.5 | 36.5 | 
								
								| v | .6126 | 1.1 | 8.7 | .6553 | 1.2 | 4.4 | 
								
								| r | .6566 | .001* | .003* | .6639 | .001* | .007* | 
								
								| E | .7773 | .8 | 2.9 | .7890 | .8 | 1.6 | 
								
								| I | .1460 | 1.0 | 2.4 | .1504 | 1.0 | 9.0 | 
								
								| C | .6361 | .9 | 2.4 | .6382 | .9 | 7.7 | 
								
								| K | .6401 | .1 | 1.0 | .6369 | .1 | 1.5 | 
								
								| L | .6215 | .2 | .7 | .6102 | .2 | 1.1 | 
								
								
								 
								
								
								
								TABLE B.4 KEY VARIABLE DEVIATIONS FROM CONTROL FOLLOWING
 A BUDGETARY SHOCK: MODELS 1, 2, AND 3 (ANNUAL GROWTH RATES)
								
								
								
								| QUARTERS ELAPSED | MODEL 1 | MODEL 2 | MODEL 3 | 
								
								| y | P | R | M | y | P | R | M | y | P | R | M | 
								
								
								
								| 1 | 1.32 | .04 | −2.84 | .96 | 1.32 | .00 | .08 | 1.40 | 1.28 | .00 | .24 | 1.44 | 
								
								| 2 | .96 | .16 | −2.12 | .84 | .88 | .04 | .56 | 1.32 | .88 | .00 | .83 | 1.40 | 
								
								| 3 | .80 | .32 | −1.48 | .80 | .76 | .12 | 1.00 | 1.28 | .72 | .04 | 1.60 | 1.40 | 
								
								| 4 | .75 | .48 | −1.32 | .64 | .64 | .24 | 1.12 | 1.12 | .60 | .04 | 1.92 | 1.36 | 
								
								| 8 | .83 | .68 | −1.54 | .36 | .54 | .52 | .41 | .80 | .47 | .24 | 1.80 | 1.13 | 
								
								| 12 | .13 | .78 | −1.41 | .10 | .25 | .91 | −1.46 | .26 | .30 | .56 | .27 | .81 | 
								
								| 18 | −.14 | .75 | −.28 | .18 | −,06 | 1.06 | −1.99 | .03 | .12 | .76 | −1.53 | .11 | 
								
								| 20 | −.23 | .82 | .97 | .43 | −,29 | 1.01 | −.22 | .25 | −.01 | .83 | −2.24 | .18 | 
								
								| 24 | −.22 | .98 | 1.60 | .70 | −.34 | .84 | 2.71 | .81 | −.12 | .82 | −1.55 | .21 | 
								
								| 28 | −.19 | 1.21 | 1.51 | .89 | −.22 | .69 | 4.89 | 1.39 | −.19 | .78 | .20 | .47 | 
								
								| 32 | −.22 | 1.45 | 1.08 | .99 | −.02 | .60 | 4.91 | 1.72. | −.23 | .70 | 2.35 | .92 | 
								
								| 36 | −.27 | 1.68 | .75 | 1.03 | .13 | .68 | 2.84 | 1.64 | −.24 | .61 | 4.38 | 1.45 | 
								
								| 40 | −.34 | 1.90 | .71 | 1.19 | .18 | .86 | −.03 | 1.26 | −.26 | .52 | 5.87 | 1.99 |