Completed in 1910, once housed the Cotton and Merchant Exchanges where fortunes were won and lost. Today, the revitalized Exchange Building Apartments consists of 100 attractive units. The Building has one and two bedroom apartments with several floor plans. It has elegantly arched windows, marble walls and floors. The Exchange Building rises 4HEV55 19 stories above the mighty Mississippi River, providing spectacular views and offering a spectacular to call your home.. Cats - 2 allowed, One time Fee $250.00, Rent $20.00 Comments: 2 Per Apartment Dogs - 1 allowed, Max weight 25 lb each, One time Fee $250.00, Rent $20.00