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प्रश्न
Write note on Fisher’s price index number
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उत्तर
Fisher defined a weighted index number as the geometric mean of Laspeyre’s index number and Paasche’s Index number
`"P"_01^"F" = sqrt((sum"p"_1"q"_0 xx sum"p"_1"q"_1)/(sum"p"_0"q"_0 xx sum"p"_0"q"_1)) xx 100`
The Fisher-price index number is also known as the “ideal” price index number.
This requires more data than the other two index numbers and as a result, may often be impracticable.
But this is a good index number because it satisfies both the time-reversal test and factor reversal test.
i.e `"P"_01^"F" xx "P"_10^"F"` = 1
And
`"P"_01^"F" xx "Q"_01^"F" = (sum "p"_1"q"_1)/(sum"p"_0"q"_0)`
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संबंधित प्रश्न
Statements that are incorrect in relation to index numbers:
- An index number is a geographical tool.
- Index numbers measure changes in air pressure.
- Index numbers measure relative changes in an economic variable.
- Index numbers are specialized averages.
Features of index numbers:
- It is useful in framing suitable economic policies.
- It is useful to present financial data in real terms
- Index numbers are statistical devices.
- Index numbers are specialized averages.
Define Index Number
Define Laspeyre’s price index number
Choose the correct alternative:
Most commonly used index number is:
Choose the correct alternative:
Consumer price index are obtained by:
Choose the correct alternative:
Which of the following Index number satisfy the time reversal test?
Compute the consumer price index for 2015 on the basis of 2014 from the following data.
| Commodities | Quantities | Prices in 2015 | Prices in 2016 |
| A | 6 | 5.75 | 6.00 |
| B | 6 | 5.00 | 8.00 |
| C | 1 | 6.00 | 9.00 |
| D | 6 | 8.00 | 10.00 |
| E | 4 | 2.00 | 1.50 |
| F | 1 | 20.00 | 15.00 |
Read the given passage and answer the questions:
|
Index Number is a technique of measuring changes in a variable or group of related variables with reference to time, geographical location and other characteristics. Index Number is very useful for economists, farmers, traders, government, educationalists and trade union leaders for planning and implementing the plans according to their sector. The scope of index number is not limited to only one subject but it extends to many subjects such as Economics, Educational science, Psychology, History, Sociology, Geography etc. While framing index number its objective must be determined. To attain the objective the information is collected in various ways and this information is used for comparing two different time periods. For this purpose, the base year’s index is assumed as 100 and accordingly the value of the current year is calculated. Laspeyre, Paasche and Fisher have suggested different methods for constructing index numbers. |
- Explain the meaning of Index Number.
- To whom the Index Number is useful?
- Express your opinion about the given passage.
The base year's index of a selected variable is assumed as ______.
