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Vanderbilt University
At Vanderbilt University, the average merit award tops $20,000.
courtesy of Vanderbilt University

If you need a lot of financial help to pay for college, you'll have much better odds at a schools that has a generous aid budget.

Unfortunately, these days that's a small group. The average college provides only enough scholarships or grants to meet 70% of what low- and moderate-income students need to pay the bills, according to data provided by the colleges to Peterson's.

In all, only 64 colleges in the country say they hand out enough aid to meet the full demonstrated financial need of every regularly admitted undergraduate, according to Peterson's data. And many members of that elite group, including schools in the Ivy League, don't provide a penny in merit scholarships. That means no scholarships to students who don't qualify for need-based aid, no matter their academic achievements.

So Money crunched financial-aid data to find the 10 schools on our Best College Values list that not only provide 100% of the scholarship money they think you need, but also have large merit-aid budgets to help high-achieving, wealthier students.

It's important, however, to be realistic about what's "generous." When colleges say they "meet full demonstrated need," that doesn't mean they give everybody full-tuition scholarships. Colleges first calculate how much they think your family can afford to pay (also known as the "expected family contribution"), using the financial information you provide on the FAFSA or the College Board's CSS/Financial Aid Profile.

On top of that number, many colleges add an expectation that students will take out loans and earn a few thousand dollars a year. The difference between the total expected student and parent contribution and the cost of the college is your "need." That's the amount that the most generous colleges will provide in need-based scholarships. Merit scholarships are awarded without regard to your family's financial situation. (For tips on how to appeal for additional aid, click here.)

School Money rank Avg. est. total family education-related debt Est. average net price of a degree % of students who get merit awards Average merit grant
Vanderbilt University 49 $6,649 $160,791 10% $23,789
Rice University 20 $8,447 $149,851 15% $11,833
Duke University 32 $9,694 $192,804 12% $19,823
Davidson College 72 $10,842 $165,141 6% $22,246
Grinnell College 144 $11,325 $123,981 15% $15,093
University of Chicago 106 $12,986 $188,813 17% $10,205
Kenyon College 94 $13,313 $190,407 13% $13,040
University of Richmond 120 $14,317 $157,221 16% $23,300
Washington and Lee University 39 $15,270 $149,377 8% $35,060
Harvey Mudd College 7 $17,736 $187,694 20% $9,743

Notes: Average total estimated debt is federal student debt and parent Plus loan borrowing per graduating senior; net price for freshman starting in the fall of 2014.

Sources: Peterson's, U.S. Department of Education, Money calculations.