A report found that the real entry-level wage for college graduates declined by 6 percent between 2003 and 2010.
2010 Nominal Entry-Level Wage 2010 CPI 2003 CPI
$13.50 170.2 142.5
Enter your responses rounded to two decimal places.
Based on the information above:
a. The 2010 real entry-level wage is $.
b. The 2003 real entry-level wage is $.
c. The 2003 nominal entry-level wage is $.

Respuesta :

Answer: The answer is as follows:

Explanation:

Given that,

Real entry-level wage declined by 6% between 2003 and 2010

2010 Nominal Entry-Level Wage = $13.50

2010 CPI = $170.2

2003 CPI = 142.5

(a) Real entry wage in 2010 = [tex]\frac{2010\ Nominal\ entry\ level\ wage}{2010\ CPI}[/tex]

= [tex]\frac{13.50}{170.2}[/tex]

= $7.93

The 2010 Real entry-wage level is $7.93

2010 real wage declined by 6% from 2003

( b) The 2003 real entry-wage level is $8.43

Therefore, real entry-level wage in 2003 =  [tex]\frac{7.93}{94%}[/tex]

= $8.43

(c) 2003 nominal entry-level wage in CPI term = [tex]2003\ real\ entry\ wage \times \frac{2003\ CPI}{100}[/tex]

= [tex]8.43 \times \frac{142.5}{100}[/tex]

= $12.01

The 2003 nominal entry-wage is $ 12.01

The 2010 real entry-level wage will be $7.93; the 2003 real entry-level wage is $8.43 and 2003 nominal entry-level wage is $12.01 for college graduates.

How to calculate the entry-level wages?

Using the information given above, the real entry-level wage for the year 2010 will be calculated by using the formula given below as,

[tex]\rm Entry\ Level\ Wage\ 2010= \dfrac{Nominal\ Entry\ Level\ Wage}{CPI\ 2010} x\ 100\\\\\rm Entry\ Level\ Wage\ 2010= \dfrac{\$13.50}{\$170.2}x\ 100\\\\\rm Entry\ Level\ Wage\ 2010= \$7.93[/tex]

Now, for the year 2003,

[tex]\rm Real\ Entry\ Level\ Wage\ 2003= 2010\ Real\ Wage +Decline(\%)\\\\\rm Real\ Entry\ Level\ Wage\ 2003= 7.93 + 6\%\\\\\rm Real\ Entry\ Level\ Wage\ 2003= \$8.40[/tex]

Now calculating the nominal entry-level wages for the year 2003,

[tex]\rm Nominal\ Entry\ Level\ Wage\ 2003= Real\ Entry\ Level\ Wage\ x \dfrac{2003\ CPI}{100}\\\\\rm Nominal\ Entry\ Level\ Wage\ 2003=8.43\ x\ \dfrac{142.5}{100}\\\\\rm Nominal\ Entry\ Level\ Wage\ 2003= \$12.01[/tex]

Hence, the 2010 real entry-level wage will be $7.93; the 2003 real entry-level wage is $8.43 and 2003 nominal entry-level wage is $12.01 for college graduates.

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