Suppose that James’s income in Year 1 was $40,000. Over the next four years his income increases by 7% per year. At the same time, the economy experiences an inflation rate of 5% per year. a. Complete the table below. Do not round your intermediate calculations. Enter your final responses as a whole number for Nominal income and Real income. Enter your final responses for the price index rounded to one decimal place. Year Nominal income Price index Real income1 $40,000 100 $ 2 3 4 5 b. At the end of Year 5, James’s real income will be $ .
Question
Suppose that James’s income in Year 1 was 40,000 100 .
Solution
Sure, let's calculate James's nominal income, price index, and real income for each year.
a.
Year 2: Nominal income = 42,800 Price index = 100 * 1.05 = 105 Real income = 40,761
Year 3: Nominal income = 45,796 Price index = 105 * 1.05 = 110.25 Real income = 41,561
Year 4: Nominal income = 48,902 Price index = 110.25 * 1.05 = 115.76 Real income = 42,297
Year 5: Nominal income = 52,325 Price index = 115.76 * 1.05 = 121.55 Real income = 43,033
b. At the end of Year 5, James’s real income will be $43,033.
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