In an article in the Wall Street Journal, a professor of...

In an article in the Wall Street Journal, a professor of financial planning noted the effect of rising prices on purchasing power: "Today, $\$ 2,000$ a month seems reasonable [as an income for a retired person in addition to the person's Social Security payments], but 40 years from now that's going to be three cups of coffee and a donut." Suppose that currently three cups of coffee and a donut can be purchased for $\$ 10 .$ The CPI in 2014 was $237 .$ What would the CPI have to be in 2054 for $\$ 2,000$ to be able to purchase only three cups of coffee and a donut? Assume that the prices of coffee and donuts increase at the same rate as the CPI during these 40 years.

In an article in the Wall Street Journal, a professor of financial planning noted the effect of rising prices on purchasing power: "Today, $\$ 2,000$ a month seems reasonable [as an income
for a retired person in addition to the person's Social Security payments], but 40 years from now that's going to be three cups of coffee and a donut." Suppose that currently three cups of coffee and a donut can be purchased for $\$ 10 .$ The CPI in 2014 was $237 .$ What would the CPI have to be in 2054 for $\$ 2,000$ to be able to purchase only three cups of coffee and a donut? Assume that the prices of coffee and donuts increase at the same rate as the CPI during these 40 years.

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Key Concepts

Real Versus Nominal Values

Real values are adjusted for changes in the price level (inflation) and reflect the true purchasing power, whereas nominal values are expressed in current dollars without adjustment. This concept is crucial for comparing income or prices across different time periods, ensuring that comparisons take into account the effects of inflation.

Inflation Adjustment

Inflation adjustment is the process of recalculating the value of money over time to account for changes in price levels. By using the ratio of the CPI between different time periods, one can determine how much nominal dollars from one period would be equivalent in another period, reflecting the loss of purchasing power due to inflation.

Consumer Price Index (CPI)

The Consumer Price Index is a measure that examines the weighted average of prices of a basket of consumer goods and services, such as food, transportation, and medical care. It is used as an economic indicator to gauge inflation and the cost of living over time by comparing the current price level to a base period.

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