In: Economics
The following are the values of goods and services produced in 2018 and 2019 utilizing the prices prevailing in those two years. Compute the Chain-weighted Real GDP for 2019. (Show your work).
| 
 Prices Utilized  | 
 Values of Goods and Services of the years ($million)  | 
|
| 
 2018  | 
 2019  | 
|
| 
 2018  | 
 112.4  | 
 138.2  | 
| 
 2019  | 
 118.3  | 
 146.5  | 
Answer :-
In order to calculate the chain weighted Real GDP for 2019, we need the following information;
Value of goods and services produced in 2018 at price of 2018 = $112.4 million
Value of goods and services produced in 2019 at the price 2018 = $138.2 million
Value of goods and services produced in 2018 at the price of 2019 = $118.3 million
Value of goods and services produced in 2019 at the price of 2019 =146.5
The growth rate with 2018 prices can be calculated as ;
= [(138.2-112.4)/112.4]×100
= 0.2295×100
= 22.95 %
NOW the growth rate with 2019 prices is given by ;
=[(146.5-118.3)/118.3]×100
0.2383×100
= 23.83 %
The chain weighted growth rate can be calculated by the average of the two growth rates, therefore
= (22.95 +23.83 )/ 2
= 23.39 %
Chain weighted real GDP for 2019 is given by the relation ;
= Real GDP in 2018 + chain weighted growth rate of real GDP in 2018
= 112.4 + 23.39 % of 112.4
= $138.69 million
Hence the chain weight real GDP for 2019 is $138.69 million.