Figure 3. Comparison of final Chained Consumer Price Index for All Urban Consumers (C-CPI-U) less Consumer Price Index for All Urban Consumers (CPI-U), Geometric Young formula, and constant elasticity of substitution (CES) indexes where sigma is equal to 0.0, 0.6, 0.7, 0.8, and 0.999, 2000–12
| Index period |
CPI-U |
Geometric Young |
CES = 0.0 |
CES = 0.6 |
CES = 0.7 |
CES = 0.8 |
CES = 0.999 |
|
Jan 2000
|
0.005 |
0.081 |
0.003 |
0.046 |
0.054 |
0.063 |
0.081 |
|
Feb 2000
|
-0.027 |
0.107 |
-0.028 |
0.050 |
0.063 |
0.078 |
0.106 |
|
Mar 2000
|
-0.096 |
0.079 |
-0.098 |
0.003 |
0.022 |
0.040 |
0.079 |
|
Apr 2000
|
-0.153 |
0.028 |
-0.155 |
-0.051 |
-0.032 |
-0.013 |
0.028 |
|
May 2000
|
-0.205 |
-0.008 |
-0.207 |
-0.095 |
-0.074 |
-0.053 |
-0.008 |
|
Jun 2000
|
-0.342 |
-0.017 |
-0.343 |
-0.158 |
-0.125 |
-0.090 |
-0.017 |
|
Jul 2000
|
-0.354 |
0.031 |
-0.355 |
-0.138 |
-0.098 |
-0.056 |
0.031 |
|
Aug 2000
|
-0.378 |
0.013 |
-0.380 |
-0.160 |
-0.120 |
-0.077 |
0.013 |
|
Sep 2000
|
-0.429 |
-0.018 |
-0.431 |
-0.198 |
-0.156 |
-0.112 |
-0.018 |
|
Oct 2000
|
-0.487 |
-0.077 |
-0.488 |
-0.259 |
-0.216 |
-0.172 |
-0.077 |
|
Nov 2000
|
-0.628 |
-0.139 |
-0.629 |
-0.360 |
-0.309 |
-0.255 |
-0.139 |
|
Dec 2000
|
-0.760 |
-0.239 |
-0.762 |
-0.476 |
-0.422 |
-0.364 |
-0.239 |
|
Jan 2001
|
-0.748 |
-0.054 |
-0.750 |
-0.364 |
-0.293 |
-0.217 |
-0.055 |
|
Feb 2001
|
-0.822 |
-0.118 |
-0.823 |
-0.437 |
-0.364 |
-0.287 |
-0.118 |
|
Mar 2001
|
-0.842 |
-0.170 |
-0.843 |
-0.479 |
-0.409 |
-0.335 |
-0.171 |
|
Apr 2001
|
-0.928 |
-0.188 |
-0.929 |
-0.527 |
-0.450 |
-0.368 |
-0.189 |
|
May 2001
|
-1.015 |
-0.174 |
-1.016 |
-0.558 |
-0.470 |
-0.377 |
-0.175 |
|
Jun 2001
|
-0.970 |
-0.111 |
-0.971 |
-0.509 |
-0.418 |
-0.323 |
-0.112 |
|
Jul 2001
|
-0.966 |
-0.062 |
-0.967 |
-0.480 |
-0.385 |
-0.284 |
-0.063 |
|
Aug 2001
|
-0.896 |
0.027 |
-0.897 |
-0.404 |
-0.307 |
-0.204 |
0.026 |
|
Sep 2001
|
-0.988 |
-0.016 |
-0.990 |
-0.469 |
-0.366 |
-0.258 |
-0.017 |
|
Oct 2001
|
-0.927 |
-0.007 |
-0.928 |
-0.439 |
-0.343 |
-0.239 |
-0.008 |
|
Nov 2001
|
-1.028 |
-0.014 |
-1.030 |
-0.487 |
-0.381 |
-0.267 |
-0.016 |
|
Dec 2001
|
-1.119 |
-0.030 |
-1.120 |
-0.537 |
-0.423 |
-0.301 |
-0.032 |
|
Jan 2002
|
-1.096 |
0.020 |
-1.097 |
-0.499 |
-0.382 |
-0.257 |
0.019 |
|
Feb 2002
|
-1.167 |
-0.005 |
-1.168 |
-0.545 |
-0.423 |
-0.293 |
-0.007 |
|
Mar 2002
|
-1.171 |
-0.039 |
-1.173 |
-0.566 |
-0.447 |
-0.320 |
-0.040 |
|
Apr 2002
|
-1.208 |
-0.081 |
-1.209 |
-0.607 |
-0.489 |
-0.363 |
-0.082 |
|
May 2002
|
-1.245 |
-0.115 |
-1.247 |
-0.643 |
-0.524 |
-0.398 |
-0.116 |
|
Jun 2002
|
-1.324 |
-0.147 |
-1.335 |
-0.700 |
-0.575 |
-0.443 |
-0.149 |
|
Jul 2002
|
-1.286 |
-0.043 |
-1.291 |
-0.621 |
-0.490 |
-0.352 |
-0.045 |
|
Aug 2002
|
-1.321 |
-0.042 |
-1.325 |
-0.635 |
-0.501 |
-0.358 |
-0.044 |
|
Sep 2002
|
-1.291 |
0.002 |
-1.295 |
-0.598 |
-0.462 |
-0.318 |
0.001 |
|
Oct 2002
|
-1.345 |
-0.033 |
-1.347 |
-0.641 |
-0.503 |
-0.357 |
-0.034 |
|
Nov 2002
|
-1.422 |
-0.049 |
-1.424 |
-0.684 |
-0.539 |
-0.387 |
-0.051 |
|
Dec 2002
|
-1.461 |
-0.022 |
-1.462 |
-0.684 |
-0.533 |
-0.374 |
-0.024 |
|
Jan 2003
|
-1.460 |
0.039 |
-1.466 |
-0.652 |
-0.494 |
-0.328 |
0.037 |
|
Feb 2003
|
-1.555 |
0.030 |
-1.559 |
-0.696 |
-0.530 |
-0.355 |
0.028 |
|
Mar 2003
|
-1.531 |
0.105 |
-1.532 |
-0.640 |
-0.469 |
-0.289 |
0.103 |
|
Apr 2003
|
-1.522 |
0.071 |
-1.523 |
-0.657 |
-0.491 |
-0.315 |
0.069 |
|
May 2003
|
-1.523 |
0.085 |
-1.524 |
-0.653 |
-0.484 |
-0.306 |
0.083 |
|
Jun 2003
|
-1.563 |
0.104 |
-1.564 |
-0.659 |
-0.485 |
-0.301 |
0.102 |
|
Jul 2003
|
-1.562 |
0.177 |
-1.562 |
-0.617 |
-0.435 |
-0.243 |
0.175 |
|
Aug 2003
|
-1.537 |
0.287 |
-1.535 |
-0.543 |
-0.352 |
-0.151 |
0.285 |
|
Sep 2003
|
-1.557 |
0.315 |
-1.558 |
-0.536 |
-0.340 |
-0.134 |
0.312 |
|
Oct 2003
|
-1.599 |
0.253 |
-1.600 |
-0.588 |
-0.395 |
-0.191 |
0.250 |
|
Nov 2003
|
-1.662 |
0.258 |
-1.663 |
-0.613 |
-0.413 |
-0.202 |
0.256 |
|
Dec 2003
|
-1.694 |
0.290 |
-1.695 |
-0.608 |
-0.401 |
-0.183 |
0.288 |
|
Jan 2004
|
-1.624 |
0.412 |
-1.624 |
-0.505 |
-0.293 |
-0.071 |
0.409 |
|
Feb 2004
|
-1.619 |
0.452 |
-1.619 |
-0.480 |
-0.265 |
-0.038 |
0.449 |
|
Mar 2004
|
-1.690 |
0.419 |
-1.691 |
-0.529 |
-0.309 |
-0.079 |
0.416 |
|
Apr 2004
|
-1.721 |
0.448 |
-1.720 |
-0.527 |
-0.301 |
-0.065 |
0.445 |
|
May 2004
|
-1.795 |
0.507 |
-1.795 |
-0.520 |
-0.282 |
-0.032 |
0.504 |
|
Jun 2004
|
-1.932 |
0.439 |
-1.941 |
-0.620 |
-0.373 |
-0.116 |
0.436 |
|
Jul 2004
|
-1.923 |
0.441 |
-1.932 |
-0.618 |
-0.371 |
-0.114 |
0.438 |
|
Aug 2004
|
-1.899 |
0.485 |
-1.909 |
-0.583 |
-0.335 |
-0.075 |
0.482 |
|
Sep 2004
|
-1.809 |
0.548 |
-1.818 |
-0.510 |
-0.264 |
-0.007 |
0.545 |
|
Oct 2004
|
-1.872 |
0.588 |
-1.881 |
-0.509 |
-0.253 |
0.014 |
0.585 |
|
Nov 2004
|
-1.936 |
0.569 |
-1.937 |
-0.541 |
-0.282 |
-0.012 |
0.566 |
|
Dec 2004
|
-1.938 |
0.544 |
-1.938 |
-0.560 |
-0.303 |
-0.034 |
0.541 |
|
Jan 2005
|
-1.955 |
0.524 |
-1.955 |
-0.581 |
-0.324 |
-0.055 |
0.521 |
|
Feb 2005
|
-2.040 |
0.504 |
-2.040 |
-0.627 |
-0.364 |
-0.088 |
0.501 |
|
Mar 2005
|
-2.216 |
0.439 |
-2.215 |
-0.733 |
-0.459 |
-0.173 |
0.436 |
|
Apr 2005
|
-2.260 |
0.565 |
-2.259 |
-0.671 |
-0.380 |
-0.078 |
0.562 |
|
May 2005
|
-2.246 |
0.529 |
-2.246 |
-0.691 |
-0.405 |
-0.107 |
0.525 |
|
Jun 2005
|
-2.326 |
0.503 |
-2.326 |
-0.744 |
-0.452 |
-0.148 |
0.499 |
|
Jul 2005
|
-2.404 |
0.632 |
-2.404 |
-0.695 |
-0.382 |
-0.058 |
0.629 |
|
Aug 2005
|
-2.388 |
0.826 |
-2.388 |
-0.564 |
-0.235 |
0.106 |
0.822 |
|
Sep 2005
|
-2.535 |
1.184 |
-2.535 |
-0.376 |
-0.001 |
0.383 |
1.180 |
|
Oct 2005
|
-2.626 |
1.048 |
-2.625 |
-0.502 |
-0.130 |
0.251 |
1.044 |
|
Nov 2005
|
-2.546 |
0.752 |
-2.546 |
-0.671 |
-0.333 |
0.015 |
0.749 |
|
Dec 2005
|
-2.505 |
0.689 |
-2.505 |
-0.701 |
-0.372 |
-0.033 |
0.685 |
|
Jan 2006
|
-2.613 |
0.728 |
-2.605 |
-0.716 |
-0.374 |
-0.021 |
0.724 |
|
Feb 2006
|
-2.669 |
0.634 |
-2.664 |
-0.798 |
-0.460 |
-0.109 |
0.630 |
|
Mar 2006
|
-2.735 |
0.619 |
-2.728 |
-0.832 |
-0.489 |
-0.134 |
0.615 |
|
Apr 2006
|
-2.778 |
0.802 |
-2.778 |
-0.734 |
-0.368 |
0.008 |
0.798 |
|
May 2006
|
-2.851 |
0.900 |
-2.851 |
-0.699 |
-0.317 |
0.075 |
0.896 |
|
Jun 2006
|
-2.840 |
0.953 |
-2.840 |
-0.666 |
-0.279 |
0.118 |
0.949 |
|
Jul 2006
|
-2.862 |
1.094 |
-2.862 |
-0.593 |
-0.190 |
0.224 |
1.089 |
|
Aug 2006
|
-2.869 |
1.101 |
-2.868 |
-0.593 |
-0.188 |
0.227 |
1.097 |
|
Sep 2006
|
-2.770 |
0.869 |
-2.770 |
-0.701 |
-0.328 |
0.057 |
0.865 |
|
Oct 2006
|
-2.803 |
0.654 |
-2.803 |
-0.848 |
-0.492 |
-0.125 |
0.650 |
|
Nov 2006
|
-2.838 |
0.611 |
-2.837 |
-0.890 |
-0.535 |
-0.168 |
0.607 |
|
Dec 2006
|
-2.912 |
0.633 |
-2.912 |
-0.907 |
-0.543 |
-0.166 |
0.628 |
|
Jan 2007
|
-2.956 |
0.610 |
-2.957 |
-0.941 |
-0.574 |
-0.195 |
0.606 |
|
Feb 2007
|
-3.053 |
0.558 |
-3.052 |
-1.011 |
-0.640 |
-0.256 |
0.554 |
|
Mar 2007
|
-3.118 |
0.668 |
-3.117 |
-0.968 |
-0.580 |
-0.179 |
0.663 |
|
Apr 2007
|
-3.157 |
0.835 |
-3.156 |
-0.877 |
-0.469 |
-0.049 |
0.830 |
|
May 2007
|
-3.281 |
0.974 |
-3.281 |
-0.833 |
-0.400 |
0.044 |
0.970 |
|
Jun 2007
|
-3.374 |
0.933 |
-3.374 |
-0.899 |
-0.460 |
-0.010 |
0.928 |
|
Jul 2007
|
-3.405 |
0.944 |
-3.404 |
-0.920 |
-0.477 |
-0.022 |
0.939 |
|
Aug 2007
|
-3.267 |
0.934 |
-3.266 |
-0.869 |
-0.439 |
0.003 |
0.930 |
|
Sep 2007
|
-3.258 |
0.940 |
-3.257 |
-0.861 |
-0.432 |
0.010 |
0.935 |
|
Oct 2007
|
-3.275 |
0.914 |
-3.272 |
-0.884 |
-0.456 |
-0.015 |
0.909 |
|
Nov 2007
|
-3.417 |
1.033 |
-3.416 |
-0.861 |
-0.408 |
0.057 |
1.028 |
|
Dec 2007
|
-3.519 |
0.936 |
-3.518 |
-0.963 |
-0.509 |
-0.042 |
0.931 |
|
Jan 2008
|
-3.568 |
0.940 |
-3.567 |
-0.981 |
-0.522 |
-0.050 |
0.935 |
|
Feb 2008
|
-3.549 |
0.970 |
-3.547 |
-0.956 |
-0.495 |
-0.022 |
0.965 |
|
Mar 2008
|
-3.567 |
1.097 |
-3.565 |
-0.885 |
-0.411 |
0.077 |
1.092 |
|
Apr 2008
|
-3.544 |
1.254 |
-3.542 |
-0.780 |
-0.292 |
0.209 |
1.249 |
|
May 2008
|
-3.562 |
1.516 |
-3.561 |
-0.623 |
-0.108 |
0.419 |
1.510 |
|
Jun 2008
|
-3.725 |
1.722 |
-3.723 |
-0.555 |
-0.005 |
0.557 |
1.716 |
|
Jul 2008
|
-3.796 |
1.804 |
-3.794 |
-0.536 |
0.030 |
0.607 |
1.798 |
|
Aug 2008
|
-3.598 |
1.750 |
-3.597 |
-0.501 |
0.041 |
0.596 |
1.744 |
|
Sep 2008
|
-3.461 |
1.775 |
-3.460 |
-0.434 |
0.098 |
0.642 |
1.769 |
|
Oct 2008
|
-3.199 |
1.706 |
-3.198 |
-0.379 |
0.121 |
0.633 |
1.701 |
|
Nov 2008
|
-3.190 |
1.731 |
-3.189 |
-0.394 |
0.106 |
0.624 |
1.725 |
|
Dec 2008
|
-3.371 |
1.854 |
-3.370 |
-0.399 |
0.133 |
0.682 |
1.848 |
|
Jan 2009
|
-3.377 |
1.823 |
-3.375 |
-0.419 |
0.110 |
0.657 |
1.817 |
|
Feb 2009
|
-3.498 |
1.639 |
-3.496 |
-0.576 |
-0.054 |
0.486 |
1.633 |
|
Mar 2009
|
-3.600 |
1.564 |
-3.599 |
-0.662 |
-0.137 |
0.405 |
1.558 |
|
Apr 2009
|
-3.665 |
1.493 |
-3.664 |
-0.731 |
-0.206 |
0.335 |
1.486 |
|
May 2009
|
-3.657 |
1.478 |
-3.655 |
-0.738 |
-0.216 |
0.324 |
1.471 |
|
Jun 2009
|
-3.691 |
1.475 |
-3.689 |
-0.758 |
-0.232 |
0.311 |
1.468 |
|
Jul 2009
|
-3.679 |
1.537 |
-3.678 |
-0.715 |
-0.184 |
0.364 |
1.531 |
|
Aug 2009
|
-3.640 |
1.621 |
-3.638 |
-0.650 |
-0.115 |
0.438 |
1.615 |
|
Sep 2009
|
-3.634 |
1.642 |
-3.632 |
-0.636 |
-0.099 |
0.456 |
1.636 |
|
Oct 2009
|
-3.673 |
1.570 |
-3.671 |
-0.696 |
-0.163 |
0.389 |
1.564 |
|
Nov 2009
|
-3.766 |
1.516 |
-3.765 |
-0.768 |
-0.230 |
0.326 |
1.509 |
|
Dec 2009
|
-3.784 |
1.536 |
-3.782 |
-0.764 |
-0.222 |
0.337 |
1.530 |
|
Jan 2010
|
-3.780 |
1.532 |
-3.779 |
-0.766 |
-0.225 |
0.334 |
1.526 |
|
Feb 2010
|
-3.827 |
1.540 |
-3.827 |
-0.780 |
-0.234 |
0.331 |
1.534 |
|
Mar 2010
|
-3.885 |
1.463 |
-3.885 |
-0.851 |
-0.306 |
0.257 |
1.456 |
|
Apr 2010
|
-3.932 |
1.431 |
-3.932 |
-0.890 |
-0.343 |
0.221 |
1.424 |
|
May 2010
|
-3.975 |
1.414 |
-3.973 |
-0.916 |
-0.367 |
0.200 |
1.408 |
|
Jun 2010
|
-4.005 |
1.457 |
-4.003 |
-0.902 |
-0.346 |
0.228 |
1.451 |
|
Jul 2010
|
-4.018 |
1.516 |
-4.015 |
-0.877 |
-0.314 |
0.269 |
1.510 |
|
Aug 2010
|
-3.976 |
1.588 |
-3.974 |
-0.818 |
-0.252 |
0.334 |
1.582 |
|
Sep 2010
|
-3.978 |
1.599 |
-3.975 |
-0.807 |
-0.239 |
0.347 |
1.592 |
|
Oct 2010
|
-4.000 |
1.546 |
-3.997 |
-0.847 |
-0.282 |
0.301 |
1.539 |
|
Nov 2010
|
-4.104 |
1.461 |
-4.101 |
-0.940 |
-0.374 |
0.212 |
1.455 |
|
Dec 2010
|
-4.105 |
1.471 |
-4.102 |
-0.936 |
-0.368 |
0.218 |
1.464 |
|
Jan 2011
|
-4.090 |
1.531 |
-4.092 |
-0.897 |
-0.324 |
0.267 |
1.524 |
|
Feb 2011
|
-4.150 |
1.506 |
-4.147 |
-0.935 |
-0.359 |
0.236 |
1.499 |
|
Mar 2011
|
-4.211 |
1.553 |
-4.208 |
-0.934 |
-0.347 |
0.259 |
1.546 |
|
Apr 2011
|
-4.167 |
1.671 |
-4.159 |
-0.820 |
-0.224 |
0.387 |
1.665 |
|
May 2011
|
-4.280 |
1.658 |
-4.275 |
-0.875 |
-0.269 |
0.353 |
1.651 |
|
Jun 2011
|
-4.289 |
1.606 |
-4.284 |
-0.912 |
-0.310 |
0.308 |
1.600 |
|
Jul 2011
|
-4.272 |
1.656 |
-4.269 |
-0.878 |
-0.273 |
0.350 |
1.649 |
|
Aug 2011
|
-4.273 |
1.700 |
-4.271 |
-0.853 |
-0.243 |
0.384 |
1.693 |
|
Sep 2011
|
-4.194 |
1.795 |
-4.191 |
-0.764 |
-0.153 |
0.475 |
1.788 |
|
Oct 2011
|
-4.178 |
1.774 |
-4.176 |
-0.771 |
-0.163 |
0.462 |
1.768 |
|
Nov 2011
|
-4.241 |
1.735 |
-4.239 |
-0.821 |
-0.211 |
0.417 |
1.728 |
|
Dec 2011
|
-4.262 |
1.725 |
-4.260 |
-0.836 |
-0.224 |
0.405 |
1.719 |
|
Jan 2012
|
-4.259 |
1.807 |
-4.268 |
-0.790 |
-0.169 |
0.468 |
1.800 |
|
Feb 2012
|
-4.336 |
1.863 |
-4.334 |
-0.780 |
-0.148 |
0.501 |
1.856 |
|
Mar 2012
|
-4.412 |
2.005 |
-4.409 |
-0.719 |
-0.066 |
0.604 |
1.998 |
|
Apr 2012
|
-4.444 |
2.045 |
-4.442 |
-0.708 |
-0.047 |
0.630 |
2.037 |
|
May 2012
|
-4.413 |
2.006 |
-4.411 |
-0.724 |
-0.070 |
0.601 |
1.998 |
|
Jun 2012
|
-4.412 |
1.888 |
-4.410 |
-0.799 |
-0.156 |
0.504 |
1.881 |
|
Jul 2012
|
-4.415 |
1.866 |
-4.413 |
-0.817 |
-0.175 |
0.483 |
1.858 |
|
Aug 2012
|
-4.473 |
1.984 |
-4.471 |
-0.765 |
-0.107 |
0.569 |
1.976 |
|
Sep 2012
|
-4.526 |
2.050 |
-4.523 |
-0.743 |
-0.073 |
0.614 |
2.042 |
|
Oct 2012
|
-4.569 |
1.957 |
-4.567 |
-0.818 |
-0.153 |
0.529 |
1.949 |
|
Nov 2012
|
-4.600 |
1.753 |
-4.599 |
-0.959 |
-0.310 |
0.356 |
1.746 |
|
Dec 2012
|
-4.671 |
1.627 |
-4.669 |
-1.065 |
-0.422 |
0.239 |
1.619 |