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Good Q. Beer Q. Snacks P. Beer P. Snacks 2017 50 100 $1.25 $1.10 2018 150 $2.00

ID: 1137770 • Letter: G

Question

Good Q. Beer Q. Snacks P. Beer P. Snacks 2017 50 100 $1.25 $1.10 2018 150 $2.00 $1.20 4) What is the nominal total expenditures for 2017 and 2018 respectively?4) A) S172.5, $270 B) 172.5, S220.0 C) S374.5, S756.3 D) none of the above. 5) Using the Laspeyres price index, what are total expenditures for 2018? 5) A) S172.5 C) none of the above. D S270.0 B) S220.0 6) Using the Paasche price index, what are total expenditures for 2018? A) $172.5 C) S270.0 6) B) none of the above D) S220.0 7) Using the Paasche price index, what are total expenditures for 2018? A) none of the above. B) $172.5 C) $270.0 7) D) S220.0 8) What is the inflation rate using the Paasche price index between 2017 and 2018? A) 27.5% C) 24.8% 8) B) 22.0% D) none of the above. 9) What is the inflation rate using the Fisher's mean between 2017 and 2018? A) 22.0% C) 24.8% 9) B) 27.5% D) none of the above.

Explanation / Answer

4) The nominal total expenditure is calculated by multiplying price and quantity of each year and adding it together as shown below:

Nominal Total Expenditure for Year 2017:

Price of Beer * Quantity of Beer+ Price of Snacks * Quantity of Snacks

= 50*1.25+100*1.10

=172.5

Nominal Total Expenditure for Year 2018:

Price of Beer*Quantity of Beer+Price of Snacks*Quantity of Snacks.

=45*2+150*1.20

=270

Ans: a) $172.5, $270

5. Using Laspeyer's index, total expenditure is given by:

Summission PnQo

This means Sum of New Price*Old Quantity

Summission PnQo= 2*50+100*1.20

=220

Ans: b) $220.

6) Using Pasche's Price index, total expenditure is given by:

Summission PnQn

This means sum of New price* Old quantity

Summissin PnQn:

=45*2+150*1.20

=270

Ans: c) $270.

7) Same question as 6.

8) Inflation rate using Pasches price index:

Sum of PnQn/ Sum of PoQn*100

=270/(1.25*45+1.10*150)*100

=270/221.5*100

=121.89=122

Inflation rate= 122-100/100= 22%

Ans: b) 22%

9) Inflation rate using the Fisher's mean:

Squareroot of summission of PnQo/PoQo* Summission of PnQn/PoQn *100

= 220/172.5 + 270/221.5 *100

=1.28+1.22*100

=2.5*100

=2.5 *100

=24.8%

Ans: 24.8%

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