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Consider a fictional price index, the College Student Price Index (CSPI), based

ID: 1134443 • Letter: C

Question

Consider a fictional price index, the College Student Price Index (CSPI), based on a typical college student's annual purchases. Suppose the following table shows information on the market basket for the CSPI and the prices of each of the goods in 2014, 2015, and 2016. The cost of each item in the basket and the total cost of the basket are shown for 2014. Perform these same calculations for 2015 and 2016, and enter the results in the following table 2014 2015 2016 Price Price Cost Price Cost Quantity in Basket (Dollars) (Dollars) (llars) (ollars) (llrs) (ollars) 15 100 Calculators Large coffees Energy drinks Textbooks 250 100 10 120 150 180 100 Price index Suppose the base year for this price index is 2014 In the last row of the table, calculate and enter the value of the CSPI for the remaining years Between 2014 and 2015, the CSPI increased b %. Between 2015 and 2016, the CSPI increased by

Explanation / Answer

Answer:

Items

Quantity in basket

          2015                         

   Price $ Cost $

          2016

Price $ cost $

Notebooks

15

5

75

8

120

Calculators

1

100

100

130

130

Large coffees

250

2

500

2

500

Energy drinks

50

4

200

6

300

Textbooks

10

150

1500

180

1800

Total cost

2,375

2850

price index

125

150

Cost = quantity in basket * price

Base year is given as 2014 and its cost of market basket is =1900

Price index = total cost of market basket of the year (whose price index we have to calculate ) / cost of base year * 100

Price index 2015 = 2,375/ 1900 *100 = 125

Price index of 2016 = 2850 / 1900 * 100 = 150

Between 2014 and 2015 the CSPI increased by : 25%

Explanation:

Percentage increased by = difference between price index of 2015 and 2014 /price index of 2014 * 100

= 125-100/100 *100 = 25/100*100 = 25%

Between 2015 to 2016 CSPI increased by : 20%

Explanation :

CSPI increased % = 150 – 125 /125 * 100

                      = 25/125 * 100

                      = 20%

The following will illustrate why price indexes such as the CSPI might overstate inflation in the cost of going to college:

Items

Quantity in basket

          2015                         

   Price $ Cost $

          2016

Price $ cost $

Notebooks

15

5

75

8

120

Calculators

1

100

100

130

130

Large coffees

250

2

500

2

500

Energy drinks

50

4

200

6

300

Textbooks

10

150

1500

180

1800

Total cost

2,375

2850

price index

125

150

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