Let's consider the effects of inflation in an economy...

Let's consider the effects of inflation in an economy composed of only two people: Bob, a bean farmer, and Rita, a rice farmer. Bob and Rita both always consume equal amounts of rice and beans. In 2019 , the price of beans was 1 dollar and the price of rice was 3 dollar. a. Suppose that in 2020 the price of beans was 2 dollar and the price of rice was 6 dollar. What was inflation? Did the price changes leave Bob better off, worse off, or unaffected? What about Rita? b. Now suppose that in 2020 the price of beans was 2 dollar and the price of rice was 4 dollar. What was inflation? Did the price changes leave Bob better off, worse off, or unaffected? What about Rita? c. Finally, suppose that in 2020 the price of beans was 2 dollar and the price of rice was 1.50 dollar. What was inflation? Did the price changes leave Bob better off, worse off, or unaffected? What about Rita? d. What matters more to Bob and Rita - the overall inflation rate or the relative price of rice and beans?

Let's consider the effects of inflation in an economy composed of only two people: Bob, a bean farmer, and Rita, a rice farmer. Bob and Rita both always consume equal amounts of rice and beans.
In 2019 , the price of beans was 1 dollar and the price of rice was 3 dollar.
a. Suppose that in 2020 the price of beans was 2 dollar and the price of rice was 6 dollar. What was inflation? Did the price changes leave Bob better off, worse off, or unaffected? What about Rita?
b. Now suppose that in 2020 the price of beans was 2 dollar and the price of rice was 4 dollar. What was inflation? Did the price changes leave Bob better off, worse off, or unaffected? What about Rita?
c. Finally, suppose that in 2020 the price of beans was 2 dollar and the price of rice was 1.50 dollar. What was inflation? Did the price changes leave Bob better off, worse off, or unaffected? What about
Rita?
d. What matters more to Bob and Rita - the overall inflation rate or the relative price of rice and beans?

Key Concepts

Effect on Consumer Welfare

In microeconomic analysis, consumer welfare is influenced by both the overall price level and the relative prices of the goods consumed. When both prices change by the same proportion, the impact may cancel out leaving consumers unaffected in real terms; however, if relative prices change unequally, even moderate inflation can lead to shifts in expenditure efficiency and hence affect welfare differently.

Inflation

Inflation refers to the overall increase in the price level of a basket of goods and services over time. It is typically measured as the percentage change in the price index from one period to another, indicating how much more expensive the set of goods has become, which in turn affects the purchasing power of money.

Consumer Price Index (CPI) and Fixed Consumption Basket

The Consumer Price Index is a tool used to measure the average change over time in the prices paid by consumers for a fixed basket of goods and services. When individuals have fixed consumption bundles, as in the case where consumers always purchase the same amounts of certain goods, the CPI provides a direct insight into how price level changes affect their cost of living.

Purchasing Power

Purchasing power is the amount of goods or services that can be bought with a unit of currency. When prices increase due to inflation, if incomes do not adjust accordingly, the same amount of money will buy less. Conversely, if price changes are proportionate and incomes adjust, the real standard of living might remain unchanged.

Relative Prices

Relative prices refer to the price of one good compared to another, typically expressed as a ratio. Changes in relative prices can alter incentives and consumption decisions even if overall inflation is present. For consumers with fixed consumption bundles, shifts in relative prices can affect the cost-effectiveness of their expenditures and thus their welfare.

Transcript

00:01 Question 5.

00:03 Let's consider the effects of inflation in an economy composed by a composed of only two people bob a bean farmer and rice and rita a rice farmer.

00:16 So first write down their names here.

00:20 So bob who sells bean and rita who sells rice.

00:30 We know that in 2016 the price of beans is $1 .00 and price of rice is $3.

00:44 So we know that the price ratio is 1 to 3.

00:48 So bean is more is cheaper and rice is more expensive.

00:53 And both of them can consume equal amounts of rice and beans.

00:58 So if they want to exchange, bob has to bring like three bags of beans in exchange.

01:04 For one bag of rice because rice is more expensive.

01:08 Okay, so then we can answer a question a, b, c.

01:12 Because they are actually all the same questions but with different numbers.

01:18 So i was just writing down, a, b, c.

01:22 So in all these three scenarios, they say that in 2017, which is a year after, the price has changed.

01:32 So for question a, the price of beans has changed to.

01:35 While the price of rice has changed to 6.

01:40 And question b is like 2 for beans and 4 for rice.

01:47 And then here the same is 2 for beans and then 1 .5 for rice.

01:56 So the first step is that we have to calculate the ratio to simplify this number so that we can compare.

02:04 Right so in 2016 is 1 to 3 the price ratio and in question a it is also 1 to 3 so we need 3 bags of beans in exchange for one bag of rice while in question b it is 1 to 2 so we need so the rice is 2 dollars a bag and the bean is 1 dollar a bag so we need two bags of beans in exchange for one bag of rice and then for questions c is like 4 to 3, so if i make it all like one to something, it's going to be 1 to 0 .75.

02:48 All right, and for all these sub questions, we have to answer what is the inflation.

02:54 So i will write inflation in color blue.

02:58 So from 2016 to 17, the inflation in question a for beans is like 100%.

03:08 Because how i calculate this 100 % is like the price now divided by the price before minus the price before divided by the price before.

03:21 So it is 1, which is 100.

03:25 So it is all 100 here because 1 to 2, 1 to 2, 1 to 2.

03:31 So all all numbers here are 100 % inflation.

03:38 While for rice, the inflation is like 3 to 6.

03:44 So if we recalculated, it is 6 minus 3 divided by 3, which also equals to 1...