Question

In: Economics

In an economy, there are only two goods (Cars and cycles) produced. The data for last...

In an economy, there are only two goods (Cars and cycles) produced. The data for last three years is given in the below table. Calculate the nominal and real GDP of three years and then find the GDP deflator for all the three years. Find year on year (YoY) inflation for 2018 and 2019. Note: the base year for this economy is given as 2017.

year

Price of Car(AED)

Number of Car

Price of cycle (AED)

Number of cycle

2017

1000

10

200

900

2018

1200

15

210

1000

2019

1500

25

250

1500

Solutions

Expert Solution

The GDP or Gross Domestic Product is the value of total output in a given period. The nominal GDP can be calculated using the current output and current prices. However, the real GDP is calculated by taking into account current output but base year prices.
2017 Nominal and Real GDP will be same.
(1000 * 10) + (200 * 900) = 190000

2018 - Nominal GDP
(1200 * 15) + (210 * 1000) = 228000
2018 - Real GDP
(1000 * 15) + (1000 * 200) = 215000

We can create table for the values here.

GDP Deflator can be calculated using following formula
GDP Deflator = (Nominal GDP / Real GDP) * 100

Year Price of Car Production Price of Cycle Production Nominal GDP Real GDP GDP Deflator
2017 1000 10 200 900 190000 190000 100.00
2018 1200 15 210 1000 228000 215000 106.05
2019 1500 25 250 1500 412500 325000 126.92

Inflation can be calculated using GDP Deflator numbers
(Current Year Deflator / Previous Year or Base Year Deflator) - 1

2018,
(106.05 / 100) - 1 =  0.0605 or 6.05%

2019,
(126.92 / 106.05) - 1 = 0.1968 or 19.68%

2019 inflation wrt base year
(126.92 / 100) - 1 = 0.2692 or 26.92%

Annual in 2019 wrt to base year.
(126.92 / 100) ^ 0.5 = 1.1266
(1.1266 - 1) * 100 = 12.66%


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