Question

The following table shows a person's nominal and real wages for three years, as well as the price level (price index) for each year, using the first year as the base year. Fill in the blanks in the table, and then calculate the annual inflation rate for each year (not including the base year).



Instructions: Round your answers to 2 decimal places.

Answer 1

Answer:

Year  Nominal wage  Real wage  Price level  Inflation rate

1                  $7                  $5                140             Nil

2                 $9                  $6                150               7.14 %

3                 $12                 $7.5             160              6.67 %

Explanation:

Note: The table for the question is attached as picture

Price level in Year 1 = (Nominal wage in year 1/Real wage in year 1) * 100  

Price level in Year 1 = ($7.00 / $5.00) * 100

Price level in Year 1 = 1.4 * 100

Price level in Year 1 = 140

Real wage in Year 2 = (Nominal wage in year 2 / Price level in year 2) * 100.

Real wage in Year 2 = ($9.00 / 150.00) * 100

Real wage in Year 2 = $6

Nominal wage in Year 3 = (Real wage in Year 3 * Price level in Year 3) / 100.

Nominal wage in Year 3 = ($7.50 * 160) / 100

Nominal wage in Year 3 = $1,200 / 100

Nominal wage in Year 3 = $12

Inflation rate in Year 2 = (Price level in Year 2 - Price level in Year 1) / Price level in Year 1.

Inflation rate in Year 2 = (150 - 140) / 140

Inflation rate in Year 2 = 10 / 140

Inflation rate in Year 2 = 0.0714

Inflation rate in Year 2 = 7.14 %

Inflation rate in Year 3 = (Price level in Year 3 - Price level in Year 2) / Price level in Year 2.

Inflation rate in Year 3 = (160 - 150) / 150

Inflation rate in Year 3 = 10 / 150

Inflation rate in Year 3 = 0.0667

Inflation rate in Year 3 = 6.67%.

Answer 2

Price level in year 1 , Real wages in year 2 , Inflation rate in year 2 and Nominal wages in year 3 are 180, 8, 11.11% and 18 respectively.

Inflation based problem:

Missing information is given in the picture below.

Computation:

Price level in year 1 = [NW / RW]100

Price level in year 1 = [9 / 5]100

Price level in year 1 = 180

Real wages in year 2 = NW[100 / Price level in year 2]

Real wages in year 2 = 16[100 / 200]

Real wages in year 2 = 8

Inflation rate in year 2 = $\frac{Price\ level \ in \ year 2 - Price\ level \ in \ year 1}{Price\ level \ in \ year 1} \times 100$

Inflation rate in year 2 = $\frac{200-180}{180} \times100$

Inflation rate in year 2 = 11.11%

Nominal wages in year 3 = $\frac{Real \ wages \times price \ level \ in \ year 3}{100}$

Nominal wages in year 3 = $\frac{7.50 \times240}{100}$

Nominal wages in year 3 = 18

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