Yes, though I suspect the stored account balance may be at a point in time (e.g. month end), and that the current balance is derived as something like:
account.balance + sum(transaction.amount)
where transaction.date > account.balance_date
That would be consistent with what you see on a bank statement (even with online banking):
Code:
Date Item Debit Credit Balance
01/07/2004 Opening balance 1000.00
02/07/2004 Standing Order 100.00 900.00
02/07/2004 Deposit 2000.00 2900.00
...
The "opening balance" is the saved balance as at 01/07/2004, and the current balance is that plus the sum of transactions since that date.