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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 />

the revenue from one unit of the replacement is the<br />

same as one unit of the original, then the price of<br />

the replacement, after adjusting for the change in<br />

quality, is only 2/3 that of the price of the original.<br />

If one unit of the replacement sells for twice the<br />

price of the original, then the quality adjusted price<br />

is (2 × 2/3 =) 4/3 that of the original: the price increase<br />

is 33 percent, not 100 percent. The PPI seeks<br />

to record the change between the price of the original<br />

<strong>and</strong> the quality-adjusted price of the replacement.<br />

1.216 Of course, it is difficult to estimate the<br />

quality adjustment in practice, but the first step has<br />

to be to clarify conceptually the nature of the adjustment<br />

that is required in principle. In practice,<br />

producers often treat the introduction of a new quality,<br />

or new model, as a convenient opportunity in<br />

which to make a significant price change. They may<br />

deliberately make it difficult for purchasers to disentangle<br />

how much of the observed difference in<br />

price between the old <strong>and</strong> the new qualities represents<br />

a price change.<br />

1.217 For PPI purposes, an explicit quality adjustment<br />

is often possible using differences in the<br />

costs of production between the two qualities. This<br />

approach works as long as production costs are<br />

based on the establishment using the same technology.<br />

Another alternative is to make an implicit adjustment<br />

by making an assumption about the pure<br />

price change: for example, on the basis of price<br />

movements observed for other products. The discussion<br />

below examines the implicit methods first<br />

<strong>and</strong> then the explicit methods. These approaches are<br />

examined in some detail in Sections D <strong>and</strong> E of<br />

Chapter 7.<br />

1.218 When the technology changes, there is no<br />

comparable basis for comparing costs between the<br />

two qualities, <strong>and</strong> these procedures break down. An<br />

alternative approach would be to use hedonic regression<br />

techniques, which are also discussed below<br />

<strong>and</strong> in more detail in Section G of Chapter 7.<br />

M.2 Implicit methods<br />

M.2.1 Over-lapping qualities<br />

1.219 Suppose that the two qualities overlap,<br />

both being produced at time t. If both are produced<br />

<strong>and</strong> sold in a competitive market, economic theory<br />

suggests that the ratio of the prices of the new to the<br />

old quality should reflect their relative cost to producers<br />

<strong>and</strong> value to purchasers. This implies that<br />

the difference in price between the old <strong>and</strong> the new<br />

qualities does not indicate any change in price. The<br />

price changes up to period t can be measured by<br />

the prices for the old quality, while the price<br />

changes from period t onwards can be measured by<br />

the prices for the new quality. The two series of<br />

price changes are linked in period t, the difference<br />

in price between the two qualities not having any<br />

impact on the linked series.<br />

1.220 When there is an overlap, simple linking of<br />

this kind may provide an acceptable solution to the<br />

problem of dealing with quality change. In practice,<br />

however, this method is not used very extensively<br />

to deal with noncomparable replacements because<br />

the requisite data are seldom available. Moreover,<br />

the conditions may not be consistent with those assumed<br />

in the theory. Even when there is an overlap,<br />

the market may not have had time to adjust, particularly<br />

when there is a substantial change in quality.<br />

When the new quality first appears, the market is liable<br />

to remain in disequilibrium for some time. The<br />

producers of new qualities may price strategically<br />

over the product life cycle to, for example, pricediscriminate<br />

in the early periods following introduction.<br />

There is a case in which the overlap<br />

method is used extensively in spite of these difficulties:<br />

when the index is rebased or products are rotated.<br />

The advantage of refreshing the sample is<br />

deemed to outweigh such disadvantages.<br />

1.221 There may be a succession of periods in<br />

which the two qualities overlap before the old quality<br />

finally disappears from the market. If the market<br />

is temporarily out of equilibrium, the relative prices<br />

of the two qualities may change significantly over<br />

time, so that the market offers alternative evaluations<br />

of the relative qualities depending on which<br />

period is chosen. When new qualities that embody<br />

major new improvements appear on the market for<br />

the first time, it may be that their prices fall relatively<br />

to older qualities, before the latter eventually<br />

disappear. In general, if the price series for the old<br />

<strong>and</strong> new qualities are linked in a single period, the<br />

choice of period can have a substantial effect on the<br />

overall change in the linked series.<br />

1.222 The statistician has then to make a deliberate<br />

judgment about the period in which the relative<br />

prices appear to give the best representation of the<br />

relative qualities. In this situation, it may be preferable<br />

to use a more complex linking procedure that<br />

uses the prices for both the new <strong>and</strong> the old quali-<br />

40

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