A small nation idolizes the TV show The Voice. All they produce and consume are karaoke machines

A small nation idolizes the TV show The Voice. All they...

Key Concepts

Consumer Price Index (CPI)

The Consumer Price Index is a measure that tracks the overall change in the price level of a fixed basket of goods and services purchased by households over time. It uses a constant set of quantities, typically from a base year, to isolate changes in price rather than shifts in consumption patterns. This index is used to calculate inflation from the consumer’s perspective by comparing the cost of the same basket between different periods.

GDP Deflator

The GDP deflator is an alternative measure of the overall price level in an economy, calculated by dividing nominal GDP by real GDP and multiplying by 100. Unlike the CPI, it uses the current production quantities, reflecting the prices of all domestically produced final goods and services. This measure captures price changes as the economy’s production mix evolves, making it sensitive to changing consumption and production patterns.

Fixed Basket vs. Variable Basket Approach

This concept distinguishes the methodologies behind the CPI and the GDP deflator. The CPI relies on a fixed basket of goods (based on a base year's consumption patterns), which means it may not fully reflect changes in consumer behavior or substitution effects. The GDP deflator, on the other hand, uses a variable basket that changes with the economy’s production, thus capturing how consumers and producers shift their choices over time.

Inflation Measurement Differences

Because the CPI and the GDP deflator are based on different baskets and weightings, the inflation rates they produce can differ. The CPI measures changes in the cost of living for consumers by holding quantities fixed, whereas the GDP deflator reflects overall price changes in the economy using current production weights. Differences in these methods can lead to different inflation estimates due to the substitution bias in CPI and the variable nature of the GDP deflator’s basket.

Transcript

00:01 So a small nation idealizes the tv show, the voice, and all the produce and consumes are karaoke machines and cd in the amount we're given for 2020 and 2021.

00:15 Now, the first question says using a method similar to the cpi, compute the percentage change in the overall price level, using 2020 as the base year, and fix the basket at one karaoke machines and three cds.

00:31 So, first of all, we need to know the two common factors we're going to know here is the cpi and the gdp deflator.

00:45 And the cpi is consumer price index and the gdp deflator is gdp deflator.

00:51 So we need to write the formula for the inflation rate first of all.

01:00 So inflation rate is equal to the price level.

01:08 At outcome b minus the initial price level divided by the initial price level multiplied by 100 over 1 so then the gdp fleta now the gdp price inflator is equal to the nominal gdp divided by the real gdp they multiply by 100 over 1 so for the first question now using the method similar to the cpi which is on consumer price index um calculate a percentage the percentage change in the overall price level using 2020 as the base year and what to fix the basket at one karaoke and three cds so now we're going to start so the percentage change in the overall price level so fixing the basket one karaoke and three series in your basket the cost of baskets in 2020 would be the quantity of karaoke multiplied by the price of karaoke so k is k is um cd so let's not get a confused so quantity of karaoke multiplied by price of karaoke plus quantity of cities multiplied by price of cities so for 2020 the cost of basket of each good would be one because it's one for for karaoke then multiply by 40 because the price is 40 as the question gives us then plus three multiply by 10 so for 2020 it will be 40 plus 30 and then the cost of the baskets for 2020 would be $70 now for 2021 the cost of the baskets would be quantity of karaoke multiplied by price of karaoke plus quantity of cities multiplied by i'm sorry that's a multiplication side multiplied by a price of cds so this is equals to 1 multiplied by 60 which is for 2021 plus 3 multiplied by 12 so this is equal to 60 plus 36 and the price of the cost of baskets is 96 dollars for 2021 so therefore the cost of baskets for 2020 is 70 and in the year 2021 is 96 so and this is basket of goods so moving on we're going to choose one year as the base here which is the 2020 i'm going to calculate the cpi.

05:16 So the cpi, which is consumer price index for 2020, is equal to the cost of basket goods in 2020, divided by the cost of basket goods in the baysier, multiplied by 100.

05:46 So the cost of baskets in 2020, from what we did in the first one is 70.

05:50 The cost of bacchette in baysia, the bayesian is 2020 so that's 70 they multiply by 100 and the cpi for 2020 is 100 now for 2021 the cpr will be the cost of baskets goods in 2021 divided by the cost of basket goods in 202 divided by the costs of baskets goods in bezier multiplied by 100 over 1 so this equals 96 divided by 70 divided multiplied by hundred so this is equals to 1 .37 for 2021 so therefore the cpi for 2020 is 100 and cpr for 2021 is wanted is going to be 1 .1 37 because you're multiplying by 100 so it's one 107 so so moving on the percentage change in the overall price level in 2021 will be equal to the inflation in 2021 and the formula will be the cpi of 2020 the cpi of 2021 divided by the cpi of 2020 multiplied by a hundred of a one so this is going to be equals to 137 divided by a hundred i'm sorry this has a minus one i'm so sorry minus one multiply by 100.

08:19 So this is equal to when you solve this out, the inflation will be 37%.

08:23 So that means in the year 2021, the rate of inflation is 37 % in 2021.

08:43 So now moving on to the next question.

08:49 And he says, using the metal similar to the gdp deflator computes the percentage change in overall price level.

08:59 Again, 2020 is that...

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