What purpose did Hamilton's national bank serve?

What purpose did Hamilton's national bank serve?
The Revolutionary War had left the U.S. economy in very, very bad shape. It needed to recover in order to the new nation to survive.

Hamilton believed the National Bank would help stabilize the economy. It would create a place where the government could safely deposit money, and the bank would also be able to make loans to the government and businesses. Thus businesses could be started, and when the businesses are successfully running it would increase the money earned by both the individual people and the government. People would be willing to spend more on goods, allowing others to make bigger profits and also be willing to spend more...and so on.