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Producer Price Index Manual: Theory and Practice ... - METAC

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<strong>Producer</strong> <strong>Price</strong> <strong>Index</strong> <strong>Manual</strong><br />

Table 22.26. Seasonally Adjusted Lowe, Young, <strong>and</strong> Geometric Laspeyres Indices with Carryforward<br />

<strong>Price</strong>s <strong>and</strong> Centered Rolling-Year <strong>Index</strong><br />

Year Month P LOSA P YSA P GLSA P CRY P LOX11 P YX11 P GLX11<br />

1970 12 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000<br />

1971 1 1.0091 1.0091 1.0091 1.0091 1.0077 1.0088 1.0088<br />

2 1.0179 1.0179 1.0179 1.0179 1.0009 1.0044 0.9986<br />

3 1.0242 1.0242 1.0242 1.0242 1.0208 1.0205 1.0029<br />

4 1.0298 1.0298 1.0298 1.0298 1.0314 1.0364 1.0157<br />

5 1.0388 1.0388 1.0388 1.0388 1.0604 1.0666 1.0490<br />

6 1.0478 1.0478 1.0478 1.0478 1.0302 1.0402 1.0258<br />

7 1.0547 1.0547 1.0547 1.0547 1.0237 1.0409 1.0213<br />

8 1.0631 1.0631 1.0631 1.0631 1.0572 1.0758 1.0561<br />

9 1.0729 1.0729 1.0729 1.0729 1.0558 1.0665 1.0626<br />

10 1.0814 1.0814 1.0814 1.0814 1.0500 1.0598 1.0573<br />

11 1.0885 1.0885 1.0885 1.0885 1.0598 1.0714 1.0666<br />

12 1.0824 1.0932 1.0900 1.0965 1.0828 1.0931 1.0901<br />

1972 1 1.0871 1.0960 1.0919 1.1065 1.0856 1.0957 1.0916<br />

2 1.1148 1.1207 1.1204 1.1174 1.0963 1.1059 1.0992<br />

3 1.1093 1.1214 1.1318 1.1254 1.1056 1.1173 1.1083<br />

4 1.1057 1.1132 1.1226 1.1313 1.1076 1.1203 1.1072<br />

5 1.0983 1.1039 1.1120 1.1402 1.1211 1.1334 1.1229<br />

6 1.1467 1.1471 1.1505 1.1502 1.1276 1.1387 1.1264<br />

7 1.1701 1.1667 1.1715 1.1591 1.1361 1.1514 1.1343<br />

8 1.1456 1.1443 1.1461 1.1690 1.1393 1.1580 1.1385<br />

9 1.1703 1.1746 1.1642 1.1806 1.1517 1.1676 1.1531<br />

10 1.1946 1.2017 1.1905 1.1924 1.1599 1.1777 1.1640<br />

11 1.2019 1.2102 1.2005 1.2049 1.1703 1.1912 1.1762<br />

12 1.1844 1.2032 1.1938 1.2203 1.1848 1.2031 1.1938<br />

1973 1 1.1882 1.2089 1.1922 1.2386 1.1940 1.2163 1.1998<br />

2 1.2357 1.2536 1.2431 1.2608 1.2260 1.2480 1.2314<br />

3 1.2201 1.2477 1.2575 1.2809 1.2296 1.2569 1.2469<br />

4 1.2349 1.2523 1.2656 1.2966 1.2529 1.2764 1.2678<br />

5 1.2299 1.2425 1.2514 1.3176 1.2628 1.2820 1.2743<br />

6 1.3421 1.3410 1.3335 1.3406 1.3175 1.3285 1.3035<br />

7 1.3543 1.3512 1.3518 0.0000 1.3123 1.3313 1.3069<br />

8 1.3334 1.3302 1.3276 0.0000 1.3254 1.3460 1.3186<br />

9 1.3692 1.3800 1.3524 0.0000 1.3489 1.3739 1.3411<br />

10 1.4400 1.4601 1.4242 0.0000 1.4016 1.4351 1.3962<br />

11 1.4621 1.4844 1.4508 0.0000 1.4308 1.4691 1.4296<br />

12 1.4181 1.4521 1.4236 0.0000 1.4332 1.4668 1.4374<br />

months of 1973, the three month-to-month indices<br />

underestimate the centered rolling-year inflation<br />

rate, but by the middle of 1973, the month-to-month<br />

indices are right on target. 52<br />

52 Recall that the last six months of P CRY are missing; six<br />

months of data for 1974 would be required to evaluate these<br />

centered rolling-year index values, <strong>and</strong> these data are not<br />

available.<br />

22.92 The last three series in Table 22.26 reflect<br />

the seasonal adjustment of the Lowe, Young, <strong>and</strong><br />

geometric Laspeyres using the X-11 program. The<br />

seasonally adjusted series (P LOx11 , P Yx11 , <strong>and</strong> P GLx11 )<br />

are normalized to December 1970, so that they may<br />

easily be compared with the centered rolling-year<br />

index, P CRY . Again, these seasonally adjusted series<br />

compare rather well with the trend of P CRY <strong>and</strong> appear<br />

to predict the corresponding target values.<br />

588

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