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The cost of attendance numbers are not money paid to the university. It's cost-of-living. Mandated by federal law.I think the tuition numbers for the athletic department by accounting is ~$18 million.
Here are the UConn cost of attendance numbers (these numbers vary depending on the source):
UConn full cost of in-state attendance = $34,284
UConn cost after aid = $21,588
Difference = 37%.
Most of the scholarship athletes are from out of state, so the athletic department gets "charged" full out of state tuition or about $57k.
Think about the math.
200 out of state athletes at $57k/year = $11.4 million.
200 instate students at the average net cost = $4.2 million.
If UConn charged the Athletic Department net instate tuition for athletic scholarships, the savings on 200 athletes is about $7.2 million/year. Remember, this is just accounting! (Note: the number of athletes on full scholarship is less than 200, but there are >200 athletes on partial scholarship so using 200 to calculate the savings is a good estimate.)
A couple of other areas that UConn accounts for things in a way that could be misleading. Many (most?) of the costs of intramural sports comes through the athletic department. And, the way UConn allocates revenues causes sports to look like they lose more money than they do. For example, Royalties, Licensing, Advertisements, and Sponsorship revenues are not allocated to any sport. In fact, about 25% to 30% of athletic department revenues (not including subsidies and fees) in 2014 did not get allocated to a sport. These revenues included some contributions, some NCAA distributions,... If you were running a business and making decisions on individual product lines, wouldn't you want to allocate revenues to each product line to better understand profitability before you decided to cut products?
Also, in terms of aid, they count student loans in that. It's money you presumably have to pay back. I'm assuming any parent would look at it as a payout TO the university. The university after all gets that student loan money.
But what isn't accounted for here is the expenditure per student. You have to figure out what they spend per student because it is far and above the tuition. So you can't count the differential between out-of-staters and state residents when the school subsidizes the expenses of state residents. You have to count the difference between out of state tuition and expenditures per student to see the true savings to the university.
Also realize that Room & Board + Insurance + fees is the same for out of staters as it is for in-staters, so the difference is really only tuition. A $19,000 difference between out-of-staters and in-staters, but the expenditure per student is much closer to the out-of-state charge of $37k than it is to in-state tuition.
Which means when it comes to net revs versus net expenditures, the savings from out-of-state full scholarship athletes to in-state payers is not that great at all.
By the way, if that $18m per year figure is correct, UConn spends $25k per student scholarship athlete.