“value index”的概念、定义、翻译、参考文献-科学参考

value index

Economics

An index number of the total value of any economic aggregate at current prices: if p_t is the price and q_t the quantity concerned at time t, the value index is given by

$V_{t} = p_{t} q_{t} / p_{0} q_{0}$

where 0 is the base date. Where p_t and q_t are themselves index numbers, as is the case when dealing with aggregates, for example consumption, the value index V_t can be found as the product of a price and a quantity index; one of these must be base-weighted and the other current-weighted. Thus where there are n goods,

$V_{t} = \sum_{i = 1}^{n} p_{i t} q_{i t} / \sum_{i = 1}^{n} p_{i 0} q_{i 0} = (\sum_{i = 1}^{n} p_{i t} q_{i t} / \sum_{i = 1}^{n} p_{i 0} q_{i t}) (\sum_{i = 1}^{n} p_{i 0} q_{i t} / \sum_{i = 1}^{n} p_{i 0} q_{i 0}),$

that is, the product of a current-weighted or Paasche price index and a base-weighted or Laspeyres quantity index; or alternatively

$V_{t} = (\sum_{i = 1}^{n} p_{i t} q_{i t} / \sum_{i = 1}^{n} p_{i t} q_{i 0}) (\sum_{i = 1}^{n} p_{i t} q_{i 0} / \sum_{i = 1}^{n} p_{i 0} q_{i 0}),$

that is, the product of a base-weighted price index and a current-weighted quantity index.

单词	value index
释义	value index Economics An index number of the total value of any economic aggregate at current prices: if p_t is the price and q_t the quantity concerned at time t, the value index is given by $V_{t} = p_{t} q_{t} / p_{0} q_{0}$ where 0 is the base date. Where p_t and q_t are themselves index numbers, as is the case when dealing with aggregates, for example consumption, the value index V_t can be found as the product of a price and a quantity index; one of these must be base-weighted and the other current-weighted. Thus where there are n goods, $V_{t} = \sum_{i = 1}^{n} p_{i t} q_{i t} / \sum_{i = 1}^{n} p_{i 0} q_{i 0} = (\sum_{i = 1}^{n} p_{i t} q_{i t} / \sum_{i = 1}^{n} p_{i 0} q_{i t}) (\sum_{i = 1}^{n} p_{i 0} q_{i t} / \sum_{i = 1}^{n} p_{i 0} q_{i 0}),$ that is, the product of a current-weighted or Paasche price index and a base-weighted or Laspeyres quantity index; or alternatively $V_{t} = (\sum_{i = 1}^{n} p_{i t} q_{i t} / \sum_{i = 1}^{n} p_{i t} q_{i 0}) (\sum_{i = 1}^{n} p_{i t} q_{i 0} / \sum_{i = 1}^{n} p_{i 0} q_{i 0}),$ that is, the product of a base-weighted price index and a current-weighted quantity index.
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