The reason you should get an APY greater than the rate you're using to calculate the interest is the timing of your payment. But I don't think that 4.04% is the right answer.
If I understand the concept, you calculate 4% interest on $10,000 for one year and get $400. At the time of deposit, you pay the customer the $400, and he gets nothing except his $10,000 at the one-year maturity. Right?
The REAL transaction is the customer obtains $400 interest at maturity on $9,600. This give the customer an APY of 4.17% (400/9600 = .041666).
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John S. Burnett
BankersOnline.com
Fighting for Compliance since 1976
Bankers' Threads User #8