Refer to Exercise 14.4. The next table gives the

Chapter 14, Problem 5E

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QUESTION:

Refer to Exercise 14.4. The next table gives the quantities purchased for three products (A, B, and C) for the four quarters of last year.

a. Compute a Laspeyres index for the Quarter 4 price of all three products, using Quarter 1 as the base period.

b. Compute a Paasche index for the Quarter 4 price of all three products, using Quarter 2 as the base period.

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QUESTION:

Refer to Exercise 14.4. The next table gives the quantities purchased for three products (A, B, and C) for the four quarters of last year.

a. Compute a Laspeyres index for the Quarter 4 price of all three products, using Quarter 1 as the base period.

b. Compute a Paasche index for the Quarter 4 price of all three products, using Quarter 2 as the base period.

ANSWER:

Step 1 of 2

a)  The following table gives prices and quantities purchased for three products

         

Here quarter 4 is current period and quarter l is base period of all three products.

Laspeyres Index for the Quarter4 price of all three products using Quarter 1 as

the base period,

   

Here,  = quantity of  item in the base period.

             = Price of  item in current period

            = Price of  item in base period

                k = Number of items

In the given data, k = 3

Then,

Laspeyres Index for the Quarter 4 price of all three products using Quarter 1 as

the base period,

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