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The Higher Education Opportunity Act of 2008 required the Department of Education to publish "College Affordability and Transparency Lists" of colleges and universities with the highest and lowest published prices and the highest and lowest net prices of attendance. To get on the list a college needs to be in the top 5 percent or bottom 10 percent of the cost scale. The new lists are now out. On the Education Department website, Secretary of Education Arne Duncan says, "These lists are a helpful tool for students and families as they determine what college or university is the best fit for them." We wish they really were.

A casual glance at the shame list of the most expensive private colleges pulls up names like the Culinary Institute of America, the Art Institute of Chicago, Cornish College of the Arts, and Berklee College of Music. At the other end of the scale, the list of the lowest-cost programs includes quite a number of tiny Talmudic institutions and Bible colleges. These are all fine programs, but to paraphrase former President Clinton, this isn't a list that looks like where America goes to college.

The Department of Education's definition of the net price of attendance paints a false picture of what most students have to pay, and the list of colleges and universities held up for public rebuke clearly reflects the weakness of this measure. In addition, the way net cost is calculated by the Department of Education may induce some institutions to change their behavior in truly unhelpful ways as they attempt to get off the list or to make sure they don’t get on it.

Here is the federal definition of the net price of attendance: "Average net price is for full-time beginning undergraduate students who received grant or scholarship aid from federal, state or local governments, or the institution." For starters, this price of attendance includes room and board charges, which arguably should not be a cost, since the student must eat and sleep whether or not they are in college.

But the key problem with the definition is that the net cost measure for the whole institution is based only on those students who actually get aid. Here is an example of the type of problem that this measure can create.

College X has 5 students and a list price of $40,000. Suppose that one of the five students at this college gets a full $40,000 scholarship and the remaining four are full pay students whose families fork out $40,000. For this institution the Education Department would report an average net price of $0 since the only student getting aid received a completely free ride. Now consider College Y, which also has 5 students and the same list price of $40,000. College Y has a scholarship budget of $40,000, just like College X. But instead of concentrating its grants upon one student, college Y gives each student an $8,000 scholarship.  The Department of Education would tell us that average net price for College Y is $32,000.

College X would show up as the world’s greatest bargain, while College Y might find itself on the shame list. This disparity of rankings happens even though both colleges have the same number of students, the same list price, and spend the same amount on scholarships. College X has found a way to game the system.  By concentrating its aid, it decreases the net price for students receiving aid.  But it has very few of those students.

Individuals and groups tend to respond to incentives. Colleges and universities are no different. When policy makers set up the rules of the game, colleges will respond to the incentives if they can. Since the shame list is a fixed percentage of the total number of colleges in the group, any college near the margin has a strong reason to try to game its way off the list. As our example makes clear, with the current rules one way to avoid being on the shame list is to concentrate grants and scholarships among as few students as possible.

We are sure that this is not what the Department of Education intends. But let's look at the socially perverse ways that colleges could game the system to get off the shame list. One way to concentrate aid is to avoid recruiting students who are likely to qualify for federal student aid. This is diametrically opposed to the thrust of federal financial aid policy ever since the passage of the Higher Education Act of 1965. Federal financial aid has been aimed at students with demonstrated financial need in order to improve access to higher education.

Additionally, if an institution does have a student who qualifies for federal need-based financial aid, the incentives are to pile on institutional grants. As a result, this poor student would get a better deal, but slightly less-poor students will be left out, and the middle-class students, unless they are targets for merit-based grants, will get a worse deal. In fact, middle-class students become somewhat poisonous in this system because they are a numerous group and because they require smaller dollops of aid than poorer students. Having a lot of middle-class students who receive small grants is a guaranteed way to see your net price go up in the federal calculation.

We’re sure the federal government does not want colleges to concentrate their grants and scholarships on a smaller number of students, but that is the new incentive for institutions that might be able to reallocate their grant monies.

The reasonable alternative way to measure the net cost of attendance is to compute what the average student actually pays, not what the average student who gets aid winds up paying. This method adds the full-pay students to the calculation. Many colleges, however, will favor the current federal definition of net price because the federal formula produces a lower number for net price than a formula that includes all students. But the colleges' preference for a lower number should not stand in the way of producing a measure that is more game-proof.

This way of calculating net price has the advantage that the number it gives you for net price is independent of how grant aid is distributed among the students who receive aid. If our hypothetical five-student college has $40,000 in aid to distribute, this measure will be unchanged whether that college gives all the money to one student or an equal amount to each. Using this measure of net price, if the institution wants to reduce its average net price then it will either have to find a way to reduce its list price or it will have to increase its scholarship budget. We think this is what policymakers want.

Our example is not a crazy hypothetical. For the colleges on the current shame list the percentage of their students getting aid is a very high 82.5 percent. But spreading this aid so widely as a tool to craft the freshman class now comes with consequences. It gets you smacked with a higher calculated net cost of attendance than if you had recruited differently.

We have recalculated net price to include all students and produced a very different "expensive 5 percent." On the alternative list, institutions such as Northwestern, Brown, Georgetown, and Villanova Universities and Boston College now appear. This list looks more like America’s major private colleges and universities. And on this list, aid is more concentrated. In the alternative top 5 percent, the percentage of students receiving aid is only 55 percent. The rest are full-pay students.

For individual colleges the effect is substantial. To take one example, Oberlin College is on the Education Department's shame list, holding down the 31st spot. Oberlin gives aid to 85 percent of its students. If we calculate net price for all students, Oberlin falls out of the shameful 5 percent.

Yet no matter the methodology, we do not think ranking colleges by net price is particularly useful. A single number for each institution tells a family almost nothing. The whole shame list ranking is a political exercise of dubious social value. The Education Department website does send students to each institution's net price calculator, but these calculators tend not to be standardized and they are often quite complex.

There is mileage, however, in reporting the size of the average grant aid package students receive at each college, broken down by rough categories of family income. A family should be able to find their income level and see that on average a student at university X that comes from a family like theirs received $5,682 dollars of federal, state, and institutional grant aid (not loans). Then the family could decide for itself whether or not a particular college offered value for money. There is no shame in having an expensive program and no particular virtue in being cheap.

We wish we could share Secretary Duncan’s optimism about the current lists, but we cannot. These lists will not help students and families find the college that best fits them.  The process of matching students to colleges is complex, and the information contained in the net price rankings actually is misleading. Lastly, as institutions respond to the incentives inherent in the current methodology for calculating net price, institutional aid may be distributed in increasingly unfair and socially inefficient ways.

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