The DOP corporation receives a constant flow of funds from its worldwide operations. This money (in the form of cheques) is deposited continuously in many banks with the goal of earning as much interest as possible for DOP. One billion dollars is deposited each month, and the money earns an average of 0.65% interest a month, compounded continuously. Assume all the money remains in the accounts until the end of the month.
(a) How much interest does DOP earn each month?
(b) How much interest would DOP earn each month if it held the cheques and made deposits to its bank accounts just four times a month?