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प्रश्न
Using Fisher’s Ideal Formula, compute price index number for 1999 with 1996 as base year, given the following:
| Year | Commodity: A | Commodity: B | Commodity: C | |||
| Price (Rs.) | Quantity (kg) | Price (Rs.) | Quantity (kg) | Price (Rs.) | Quantity (kg) | |
| 1996 | 5 | 10 | 8 | 6 | 6 | 3 |
| 1999 | 4 | 12 | 7 | 7 | 5 | 4 |
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उत्तर
| Commodity | 1996 (Base year) |
1999 (Current year) |
p0q0 | p0q1 | p1q0 | p1q1 | ||
| p0 | q0 | p1 | q1 | |||||
| A | 5 | 10 | 4 | 12 | 50 | 60 | 40 | 48 |
| B | 8 | 6 | 7 | 7 | 48 | 56 | 42 | 49 |
| C | 6 | 3 | 5 | 4 | 18 | 24 | 15 | 20 |
| Total | `sum"p"_0"q"_0` = 116 | `sum"p"_0"q"_1` = 140 | `sum"p"_1"q"_0` = 97 | `sum"p"_1"q"_0` = 117 | ||||
Fisher’s Index number
`"P"_01^"F" = sqrt((sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx (sum"p"_1"q"_1)/(sum"p"_0"q"_1)) xx 100`
= `sqrt(97/116 xx 117/140) xx 100`
= `sqrt(11349/16240) xx 100`
= `sqrt(0.6988) xx 100`
= `0.8359 xx 100`
= 83.59
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संबंधित प्रश्न
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.
Assertion (A): Index numbers are statistical devices.
Reasoning (R): Index numbers measure only changes in the price level over a period of time.
Identify & explain the concept from the given illustration.
Bombay Stock Exchange has developed “Sensex” as a stock market index for reflecting the share prices of listed companies.
State the uses of Index Number
State the test of adequacy of index number
Compute (i) Laspeyre’s (ii) Paasche’s (iii) Fisher’s Index numbers for the 2010 from the following data.
| Commodity | Price | Quantity | ||
| 2000 | 2010 | 2000 | 2010 | |
| A | 12 | 14 | 18 | 16 |
| B | 15 | 16 | 20 | 15 |
| C | 14 | 15 | 24 | 20 |
| D | 12 | 12 | 29 | 23 |
Using the following data, construct Fisher’s Ideal index and show how it satisfies Factor Reversal Test and Time Reversal Test?
| Commodity | Price in Rupees per unit | Number of units | ||
| Basic year | Current year | Base year | Current year | |
| A | 6 | 10 | 50 | 56 |
| B | 2 | 2 | 100 | 120 |
| C | 4 | 6 | 60 | 60 |
| D | 10 | 12 | 50 | 24 |
| E | 8 | 12 | 40 | 36 |
Choose the correct alternative:
Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:
The base year's index of a selected variable is assumed as ______.
Find the odd word out:
Features of Index Number:
