Tuesday, February 17, 2009

Lesson on "Real" vs. "Nominal"

Here's a lesson idea that builds off my post in "More Than Just Invisible Hands" about the hidden shift in state funding for students attending the state system universities (Post on February 7, 2009, "The Hidden Shift in Higher Education Funding").



If you want to adjust a series of current dollar values (a.k.a "nominal") like wages, prices, or investment returns, for inflation (a.k.a. "real"), you first need a price index. A price index is created by taking a basket of goods or services and tracking the purchasing power needed to buy the same basket over time. The basket, theoretically, doesn't change resulting in a consistent measure of inflation. There are many price indices available for use depending on what you want to adjust for inflation. The Bureau of Labor Statisics is a good source for price indices and so is Economagic.



The Consumer Price Index is a common price index used to adjust many statistics for inflation. One example is the Cost of Living Adjustment (COLA), that adjusts the amount retirees receive in Social Security benefits. The purpose of the SS system is to provide retirees with an adequate amount of income to live on consistent (to a point) with the standard of living they had when they retired. If SS benefits were not adjusted for inflation, then the purchasing power of the money they receive would buy less and less over time.



There are other price indices that may be better measures of inflation for specific goods or services. If you were interest in adjusting wages for inflation then you would use the "employment cost index" and you could choose a version of the ECI for the particular occupation or industry.



In the post, I was interested in adjusting the appropriation from the state and the cost of tuition and fees for a general measure of inflation so I chose the CPI for all goods and services in the Mid-Atlantic region (since the data represents PA).



Here is an excerpt from my excel spreadsheet.

Year Nominal State Appropriation per FTE student

CPI - PA,NJ,DE,MD Real or Inflation Adjusted Appropriation per FTE Student

1983-84 $3,003 105.6

1984-85 $3,182 110.7 $3,148
1985-86 $3,349 112.6 $3,202
1986-87 $3,449 118.9 $3,381
1987-88 $3,497 125.6 $3,572
1988-89 $3,596 129.9 $3,694
1989-90 $3,751 139.4 $3,964
1990-91 $3,711 144.4 $4,106
1991-92 $3,980 147.5 $4,195
1992-93 $3,916 151.3 $4,303
1993-94 $4,196 155.4 $4,419
1994-95 $4,432 159.1 $4,524
1995-96 $4,553 164.3 $4,672
1996-97 $4,567 166.4 $4,732
1997-98 $4,572 169 $4,806
1998-99 $4,736 172.9 $4,917
1999-00 $4,869 177.5 $5,048
2000-01 $4,921 179.9 $5,116
2001-02 $4,842 185.3 $5,269
2002-03 $4,575 189 $5,375
2003-04 $4,294 197.8 $5,625
2004-05 $4,376 204.9 $5,827
2005-06 $4,408 211.6 $6,017
2006-07 $4,564 219.03 $6,229
2007-08 $4,669 218.19 $6,205


FTE = Full Time Equivalent student



As you can see, once you adjust the nominal appropriation for inflation, it starts to fall short of the inflation adjusted value around 1988. By the end of 2008, the two measures are $1600 apart.



To calculate the "real" column, use the following equation:



where t = year of the inflation adjusted value



By adjusting the data for inflation, we can see that despite the nominal value per student increasing every year, the inflation adjusted value should be much more. In other words, the actual contribution from the state subsidizes a lot less of a college education in 2008 than it did in 1984 and students are paying more for their education.







2 comments:

  1. A comment on my own post:
    The difference by 2008 is $1600 per full time student. The state system had over 110,000 FTE students in 2007. This means that the real value of the state appropriation is over $176,000,000 short.

    ReplyDelete
  2. Mike,

    Are you implying deflation already in 2007-08?
    2005-06 $4,408 211.6 $6,017
    2006-07 $4,564 219.03 $6,229
    2007-08 $4,669 218.19 $6,205

    ReplyDelete