Since the mod "Bank of Skyrim" was taken off the Nexus I decided to make a new one. Instead of the bankers being around the major holds I distributed them across Skyrim in most of the inns. Players are able to trade gold in exchange for bank notes that are weightless.
Requires no DLCs!

What this mod does:
*Adds a banking NPC to Skyrim Inns(Optional)
*Adds weight to gold
*Adds Banknotes to purchase that have zero carry weight
*Users can create their own custom bankers in the Creation Kit

Planned features:
Investing(Invest in businesses and watch them prosper)
New quests involving bankers being corrupt with storylines
Banditry. Bandits will attack you and seek you out to try and take your BankNotes

How to create your own custom bank NPCs.
1. load up BankNotesCore.esm in the Creation Kit
2. Make your NPC
3. Add Bankerkeyword to your NPC's keyword list.
4. Save your file.
5. Make sure that BankNotesCore.esm and BankNotes.esp are loaded in your load order.
6.Enjoy!