Exam 6: Measuring the Cost of Living

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Henry Ford paid his workers $5 a day in 1914 when the CPI was 10. Today, with the price index at 177, the $5 a day is worth $88.50.

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What does the nominal interest rate tell you?

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Suppose an economy consumes only two goods: food and clothing. The following table shows quantities consumed and prices for three years: Year 0 (the base year), Year 1, and Year 2. a) If the CPI basket is the Year 0 one, compute the expenditure on the basket in years 0, 1, and 2. b) Compute the CPIs in years 1 and 2, with Year 0 being the base year. c) For Year 0, compute the shares in expenditure of each of the two goods. Check that the sum of the two shares equals 1. If you multiply those shares by 100, we call them weights. Using the weights, calculate the CPI for Year 0. It should be equal to 100. d) Using the weights, re-calculate the CPIs for the next two years and compare your result with that in partb. Suppose an economy consumes only two goods: food and clothing. The following table shows quantities consumed and prices for three years: Year 0 (the base year), Year 1, and Year 2. a) If the CPI basket is the Year 0 one, compute the expenditure on the basket in years 0, 1, and 2. b) Compute the CPIs in years 1 and 2, with Year 0 being the base year. c) For Year 0, compute the shares in expenditure of each of the two goods. Check that the sum of the two shares equals 1. If you multiply those shares by 100, we call them weights. Using the weights, calculate the CPI for Year 0. It should be equal to 100. d) Using the weights, re-calculate the CPIs for the next two years and compare your result with that in partb.    a) If the CPI basket is the Year 0 one, compute the expenditure on the basket in years 0,1 , and 2 . b) Compute the CPIs in years 1 and 2, with Year 0 being the base year. c) For Year 0, compute the shares in expenditure of each of the two goods. Check that the sum of the two shares equals 1. If you multiply those shares by 100 , we call them weights. Using the weights, calculate the CPI for Year 0 . It should be equal to 100 . d) Using the weights, re-calculate the CPIs for the next two years and compare your result with that in part b. a) If the CPI basket is the Year 0 one, compute the expenditure on the basket in years 0,1 , and 2 . b) Compute the CPIs in years 1 and 2, with Year 0 being the base year. c) For Year 0, compute the shares in expenditure of each of the two goods. Check that the sum of the two shares equals 1. If you multiply those shares by 100 , we call them weights. Using the weights, calculate the CPI for Year 0 . It should be equal to 100 . d) Using the weights, re-calculate the CPIs for the next two years and compare your result with that in part b.

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Babe Ruth's 1931 salary was $80,000. The price index for 1931 is 16 and the price index for the current year is 210. What would Ruth's 1931 salary be equivalent to in the current year?

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For the CPI, what is the base year?

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For the average Canadian consumer, what percentage of total consumption does shelter and food expenditures make up, respectively?

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  -Refer to the Table 6-1. Suppose that the typical consumer basket consists of 5 bushels of peaches and 10 bushels of pecans and that the base year is 2014. What is the consumer price index for 2015? -Refer to the Table 6-1. Suppose that the typical consumer basket consists of 5 bushels of peaches and 10 bushels of pecans and that the base year is 2014. What is the consumer price index for 2015?

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How does a rise in the consumer price index affect a typical family?

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In sequence, what are the steps involved in calculating the consumer price index and the inflation rate?

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What happened in the early 2000s?

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If the cost of health and personal care increases by 20 percent, then, other things the same, how much is the CPI likely to increase?

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In the country of Hyrkania, the CPI in 2014 was 140 and the CPI in 2015 was 154. Jake, a resident of Hyrkania, borrowed money in 2014 and repaid the loan in 2015. If the nominal interest rate on the loan was 14 percent, what was the real interest rate?

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In 1964 in London, Ontario, one could buy a fish and chips for $2.00; today the same fish and chips cost $5.55. Which set of CPIs represents the same purchasing power for the cost in 1964 and the cost today?

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In Japan in 2000, nominal interest rates were 1.5 percent and the inflation rate was -0.5 percent. What was the real interest rate?

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Table 6-5 This table pertains to an economy with only two goods: books and calculators. The fixed basket consists of 5 books and 10 calculators. Table 6-5 This table pertains to an economy with only two goods: books and calculators. The fixed basket consists of 5 books and 10 calculators.   -Refer to the Table 6-5. Using 2015 as the base year, what is the consumer price index? -Refer to the Table 6-5. Using 2015 as the base year, what is the consumer price index?

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Which price changes when an inflation rate is calculated using the CPI?

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The inflation rate is computed as 100 × (the current year CPI - the CPI of the previous year) ÷ the CPI of the previous year.

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The 2015 CPI was 225 and the 1982 CPI was 96.5. How much would you need in 2015 in order to buy what you were able to buy with the $1000 in 1982?

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The formula to calculate CPI between a base year (say, Year 0) and another, specified year, say Year 1, is CPI=(Expenditure on basket in Year 1)/(Expenditure on basket in Year 0)×100. Suppose an economy produces only two goods, food (f) and clothing (c). Let quantities and prices in Year 0 be qf0, qc0, pf0 and pc0, respectively, and let us adopt similar notations for Year 1, with the caveat that, for CPI, the quantities remain the same as in Year 0. a) Calculate, using the notations in the problem, the expenditure on the basket in Year 0, the expenditure on the basket in Year 1, and the CPI. b) Find the formulas for the share of each of the two goods in the expenditure on the basket in Year 0. Let sf and sc be the two shares. Show that the sum of the two shares is equal to 1. Let us multiply each of these shares by 100 and call them weights, wf and wc. Check that their sum is equal to 100. c) Using the notations wf and wc for the two weights, re-write the CPI formula. d) Replace wf and wc in the formula that you just wrote, and compare the result to the formula of definition for CPI. Are they identical? If not, what changes do you need to make in order to make them identical? e) Did you need to know quantities in Year 1 in order to compute CPI?

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Most, but not all, athletic apparel sold in Canada is imported from other nations. If the price of athletic apparel increases, what will happen to the GDP deflator?

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