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I asked Mr. Craig Stuntz if credit-card transactions were a bad example. He was kind enough to straighten me out. Here are his comments:

"I'm not sure if there's a great case for using homomorphic encryption on CC transactions, because you don't normally do computations on credit card info."

Mr. Stuntz provides a more realistic scenario:

"Consider a tax preparer, or a finance service like mint.com: You give them your personal info, and they use algorithms to optimize your tax/finance strategy. But do you really want to upload your bank account numbers and balances to the web? What if you could give them, instead, a key by which they could download homomorphically encrypted data from your bank? They could perform their proprietary computations on your financial data and give you cyphertext of the results which they themselves couldn't decrypt, but you could."