7.a. What is inflation between 2013 and 2014 using CPI? Show all work.
b. What is inflation between 2014 and 2015 using the GDPD? Show all work.
Q of futons |
P of futons |
Q of beds |
P of beds |
|
2013(base year) |
20 |
9 |
15 |
18 |
2014 |
22 |
12 |
16 |
20 |
2015 |
25 |
13 |
16 |
23 |
Ans) 1) Cost of market basket in 2013 = (20×9) + (15×18)
= 180 + 270 = 450
Cost of market basket in 2014 = (22×12) + (16×20)
= 264 + 320 = 584
CPI in base year is always 100. So, CPI in 2013 is 100.
CPI in 2014 = (cost of market basket in given year ÷ cost of market basket in base year) × 100
= (584 ÷ 450)×100 = 129.78
Inflation rate = [(CPI2-CPI1)/CPI 1]×100
= [(129.78 - 100)/100]×100 = 29.78%
2) Nominal GDP = P1Q1 + P2Q2
Real GDP = quantity in given year × price in base year
Nominal GDP in 2014 = (22×12)+(16×20) = 584
Real GDP in 2014 = (22×9)+(16×18) = 486
GDP deflator = (nominal GDP/ real GDP)×100
= (584÷486)×100 = 120.165
Nominal GDP in 2015 = (25×13) + (16×23) = 693
Real GDP in 2015 = (25×9)+(16×18) = 513
GDP deflator = (693/513)×100 = 135.088
Inflation rate = [(GDPD2 - GDPD1)/GDPD1]×100
= [(135.088 - 120.165)/120.165]×100 = 12.42%
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