Your wrong answer is caused by your payments-per-year being set to 12. Therefore you are calculating 60 payments over 5 years, instead of just 5 payments, which is what you want. So just press 1 [P/YR] and recalculate the FV, and you'll get the answer you're expecting. (N.B. Be sure to use the [P/YR] key, not the [*P/YR] key.)
One way to check the current payments-per-year setting without clearing or changing anything is by pressing [RCL] [P/YR].
Hope that helps! Disclaimer: I don't work for HP; I just enjoy using their calculators.