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MGEA06H3 (157)
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Lecture

# Introduction to Macroeconomics: Math App - Lecture 003

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School
University of Toronto Scarborough
Department
Economics for Management Studies
Course
MGEA06H3
Professor
Iris Au
Semester
Winter

Description
14 January 2013 CHAPTER 19: INFLATION AND UNEMPLOYMENT SUPPLEMENTARY B Inflation refers to the percentage change in (general) price level (%Δ in price) each year. To get the %Δ in price level, we:  Collect information on the prices and quantities of goods and services bought (our consumption basket), what kind of information, goods and services, we include  Compute the cost of bundle (P●Q), we will then know how much it will cost to buy the same bundle in a different price period  Calculate the %Δ in the cost of bundle (IE: the %Δ in price) will give us the inflation rate, how fast the price level changes in a given time period Example #1 Suppose an average household consumes two goods only, using the Period-1 Bundle to calculate the % Δ in Price. Period 1 Period 2 (Base Year) (Current Year) Price Quantity Price Quantity Food \$1 400 \$1 800 Clothing \$6 100 \$12 60 There are 2 ways to approach this question:  Look at how much it will cost to buy the base year bundle in year 1 and year 2 then look at the %  of the base year bundle  Calculate how much it costs to buy the current year bundle in year 1 and year 2 and then look at the %  in price In a “perfect” world they both result in the same answer, but unfortunately we don’t live in a perfect world so the choice of the bundle matters in terms of how much price goes up. Using the Period 1 Bundle Cost of period-1 bundle in period 1 (P1●Q 1 P Q = \$1 x 400 + \$6 x 100 = \$1000 1 1 Cost of period-1 bundle in period 2 (P2●Q 1 [Quantity is fixed, the prices have changed] P2Q 1 \$1 x 400 + \$12 x 100 = \$1600 How much have prices risen? The \$ change in price = (\$1600 - \$1000) / \$1000 x 100% = 60%. This means that the price has gone up 60% and it costs more to buy the period 1 bundle in year 2 than in year 1. Using the Period-2 Bundle Cost of period-2 bundle in period 1 (P1●Q 2 P1Q 2 \$1 x 800 + \$6 x 60 = \$1160 Cost of period-2 bundle in period 2 (P2●Q 2 P2Q 2 \$1 x 800 + \$12 x 60 = \$1520 How much have prices rise? %  in price = (\$1520 - \$1160) / \$1160 x 100% = 31.03%. This means that the price has gone up 31.03% and it costs more to buy the period 2 bundle in year 2 than in year 1. The period 1 bundle gives a bigger increase in price (60% compared to 31%). This is because the way we enter our calculations matter:  Consumers respond to price changes (the substitution effect). By holding everything constant, if the price goes up, quantity goes down. From period 1 to period 2 the price of clothing goes up, so the quantity relatively goes down  The Period 1 bundle (or the initial bundle) tends to give more weight to items that go up in price a lot. In period 2, we use 60 units of clothing and 800 units of food, we have a higher weight on the goods that price increased by a smaller amount and a lower weight on the good that price increased a lot. In the period 1 bundle, however, there is a lower quantity in food and a higher quantity in clothing compared to period 2 Which measures the rise in prices correctly, using period 1 or period 2 bundle? Neither is correct. The actual amount of money spent: In period 1: P Q = \$1 x 400 + \$6 x 100 = \$1000 1 1 In period 2: P2Q 2 \$1 x 800 + \$12 x 60 = \$1520 The percentage change is a 52% increase in amount spent. Using the period 1 bundle, it went up by 60% and using period 2 bundle, it went up by 31%. None of these measurements actually captured how the standing went up. Unfortunately we cannot use simple equation because the bundles in the calculations are different (IE: the quantities of the bundles are different), similar to saying, 2 apples cost more than 3 oranges, so it is an approximate measure on how prices have gone up. Later, we will see that using the Period 1 bundle is the construction of CPI and using Period 2 bundle is calculating the GDP Deflator. TWO PRICE INDICES We will consider two price indices:  GDP Deflator measures how fast the prices of goods and services produced within Canada change over time. It uses the current year bundle (Nominal GDP /Real GDP ) x 100 t t  Consumer Price Index (CPI) measures how fast the prices of goods and services bought by a typical Canadian household change over time (what we consume, does not matter what government or firms do). It does not matter where the good is produced, it uses the base year bundle CPI – THE MOST COMMONLY USED PRICE INDEX It is the most commonly used price index to compute inflation rate. Statistics Canada is responsible for the computation of the CPI. To construct the CPI, it will:  Choose a base year and determine a bundle purchased by a typical household in that year  Get the cost of the bundle in different time periods (IE: P t Q Base-year  Multiply the cost of that bundle in different time periods by 100/P Baes-year Q Base-yearcost of bundle in the base year)
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