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Calculating the Inflation Rate Using the simple percent change formula above and the annual CPIs in...

Calculating the Inflation Rate

Using the simple percent change formula above and the annual CPIs in the table below, it becomes possible to calculate the inflation rate between any two years.

For example, the inflation rate from 1990 to 1991 was 4.2 percent:

CPI (1991) − CPI (1990) X100

            CPI(1990)

=   136.2 – 130.7 X 100

            130.7

= 5.5/130.7 × 100

= 0.420 × 100

= 4.2%

Use the annual CPI data in the Table below to complete the inflation rate calculations for each year in Table A.

Table A: Calculating Inflation Rates

CPI (Year 1 or Previous Year)

CPI (Year 2 or Current Year)

Calculations

Inflation Rate from Preceding Year

1995

2005

2019

  1. If you earned $10 an hour in 1994, how much would you have to earn in 1995 for your wage to have the same purchasing power?

2. If you saved $100 in 2018, how much interest would you have to earn in order for the savings to have the same purchasing power in 2019?

Table: Annual Average CPI (1982–1984 to 2012)

*Average CPI for 1982, 1983, and 1984; base level = 100.

Year

Annual Average CPI

1982-1984

100.0

1985

107.6

1986

109.6

1987

113.6

1988

118.3

1989

124.0

1990

130.7

1991

136.2

1992

140.3

1992

144.5

1994

148.2

1995

152.4

1996

156.9

1997

160.5

1998

163.0

1999

166.6

2000

172.2

2001

177.1

2002

179.9

2003

184.0

2004

188.9

2005

195.3

2006

201.6

2007

207.3

2008

215.3

2009

214.5

2010

218.1

2011

224.9

2012

229.6

2013

232.9

2014

236.7

2015

237.0

2016

240.0

2017

245.1

2018

251.1

2019

255.6

How Much Did Things Cost in the “Good Old Days”?

Have you ever heard your parents or grandparents say, “Back in my day, a loaf of bread only cost a nickel and a gallon of gas only cost a quarter”? How can it be that things were so much cheaper back then? Were they really cheaper? You will try to answer this question by comparing modern prices to historical prices and calculating the percent increase in prices. To do so, you will examine prices of two goods: movie tickets and a McDonald’s Big Mac®.

Calculating Percent Change in Price

Percent change in price is calculated by dividing the amount of change in price by the original price and multiplying the result by 100. If the price has increased, percent change will be positive, and if the price has decreased, the percent change will be negative. The formula for calculating percent change in price:

New price – Old price × 100       OR        Price (Year 2) – Price (Year 1) × 100

Old price                                               Price (Year 1)

Historic Prices

Goods

Price in 1986 (nominal price)

Price in 2019 (nominal price)

Percent Change in Nominal Price

Movie Ticket

$3.71

$9.25

McDonalds Big Mac

$1.80

$3.99

  1. Which item had the largest percent increase in price?
  1. Prices seem so low in 1967. Were people much better off then? What else would

you need to know to draw a conclusion?

Solutions

Expert Solution

In conclusion we can say that , with the change in year price of commodity hick up due to inflation factor and many other factors like time value of money . This mechanism is happened by various factors like demand pull and cost push factors thats why our grandparents said us that we could purchase a lot of items with low income.


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