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

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22. Treatment of Seasonal Products<br />

Table 22.19. Rolling-Year Approximate Laspeyres, Paasche, <strong>and</strong> Fisher <strong>Price</strong> Indices<br />

Year Month P AL (fixed) P AP (fixed) P AF (fixed) P AL (chain) P AP (chain) P AF (chain)<br />

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

1971 1 1.0082 1.0074 1.0078 1.0082 1.0074 1.0078<br />

2 1.0161 1.0146 1.0153 1.0161 1.0146 1.0153<br />

3 1.0257 1.0233 1.0245 1.0257 1.0233 1.0245<br />

4 1.0344 1.0312 1.0328 1.0344 1.0312 1.0328<br />

5 1.0427 1.0390 1.0409 1.0427 1.0390 1.0409<br />

6 1.0516 1.0478 1.0497 1.0516 1.0478 1.0497<br />

7 1.0617 1.0574 1.0596 1.0617 1.0574 1.0596<br />

8 1.0701 1.0656 1.0679 1.0701 1.0656 1.0679<br />

9 1.0750 1.0702 1.0726 1.0750 1.0702 1.0726<br />

10 1.0818 1.0764 1.0791 1.0818 1.0764 1.0791<br />

11 1.0937 1.0881 1.0909 1.0937 1.0881 1.0909<br />

12 1.1008 1.0956 1.0982 1.1008 1.0956 1.0982<br />

1972 1 1.1082 1.1021 1.1051 1.1083 1.1021 1.1052<br />

2 1.1183 1.1110 1.1147 1.1182 1.1112 1.1147<br />

3 1.1287 1.1196 1.1241 1.1281 1.1202 1.1241<br />

4 1.1362 1.1260 1.1310 1.1354 1.1268 1.1311<br />

5 1.1436 1.1326 1.1381 1.1427 1.1336 1.1381<br />

6 1.1530 1.1415 1.1472 1.1520 1.1427 1.1473<br />

7 1.1645 1.1522 1.1583 1.1632 1.1537 1.1584<br />

8 1.1757 1.1620 1.1689 1.1739 1.1642 1.1691<br />

9 1.1812 1.1663 1.1737 1.1791 1.1691 1.1741<br />

10 1.1881 1.1710 1.1795 1.1851 1.1747 1.1799<br />

11 1.1999 1.1807 1.1902 1.1959 1.1855 1.1907<br />

12 1.2091 1.1903 1.1996 1.2051 1.1952 1.2002<br />

1973 1 1.2184 1.1980 1.2082 1.2142 1.2033 1.2087<br />

2 1.2300 1.2074 1.2187 1.2253 1.2133 1.2193<br />

3 1.2425 1.2165 1.2295 1.2367 1.2235 1.2301<br />

4 1.2549 1.2261 1.2404 1.2482 1.2340 1.2411<br />

5 1.2687 1.2379 1.2532 1.2615 1.2464 1.2540<br />

6 1.2870 1.2548 1.2708 1.2795 1.2640 1.2717<br />

7 1.3070 1.2716 1.2892 1.2985 1.2821 1.2903<br />

8 1.3336 1.2918 1.3125 1.3232 1.3048 1.3139<br />

9 1.3492 1.3063 1.3276 1.3386 1.3203 1.3294<br />

10 1.3663 1.3182 1.3421 1.3538 1.3345 1.3441<br />

11 1.3932 1.3387 1.3657 1.3782 1.3579 1.3680<br />

12 1.4144 1.3596 1.3867 1.3995 1.3794 1.3894<br />

could be obtained by taking the arithmetic average<br />

of the June <strong>and</strong> July year-over-year monthly indices<br />

pertaining to the years 1970 <strong>and</strong> 1971 (see the<br />

entries for months 6 <strong>and</strong> 7 for the year 1971 in Table<br />

22.3, 1.0844 <strong>and</strong> 1.1103). 21 For the next roll-<br />

21 If an average of the year-over-year monthly indices for<br />

May, June, July, <strong>and</strong> August were taken, a better approximation<br />

to the annual index could be obtained, <strong>and</strong> if an average<br />

of the year-over-year monthly indices for April, May,<br />

June, July, August, <strong>and</strong> September were taken, an even bet-<br />

(continued)<br />

ing-year fixed-base Laspeyres index corresponding<br />

to the January 1972 entry in Table 22.18, an approximation<br />

to this rolling-year index, P ARY , could<br />

be derived by taking the arithmetic average of the<br />

July <strong>and</strong> August year-over-year monthly indices<br />

pertaining to the years 1970 <strong>and</strong> 1971 (see the entries<br />

for months 7 <strong>and</strong> 8 for the year 1971 in Table<br />

22.3, 1.1103 <strong>and</strong> 1.0783, respectively). These<br />

ter approximation could be obtained to the annual index,<br />

<strong>and</strong> so on.<br />

571

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