Well, if you have a 'money tree', it's really a Dracaena, and not a bonsai, so that's another story (maybe the house plant forum would be the place to go for help). If it's another kind of tree, it's really important to know what it is before giving advice, but you haven't said what the lighting is like in the new office, so again it's hard to comment. If you have no leaves on it, and mold, it's probably been watered too often and has soggy soil, and that is probably full of water-hogging peat, rather than fast draining grit. You need to try a house plant fungicide for the mold, lay off the water, let us know about the light (or improve it), and learn to repot - it's not rocket science, but a) the pot needs a good sized drain hole covering with plastic mesh (from a craft store, used for needlework), and no gravel in the bottom, though lots of perlite in the soil and some small size aquarium gravel will help drainage. Don't leave it sit in its own water though, drain it in a sink first.

Dracaena are commonly called "Lucky Bamboo" - whereas the term "money tree" usually refers to Pachira aquatica -

Find some pics here -
http://www.gardinonursery.com/product_info.php?products_id=193

Is it the braided type, or a single trunk?

Lucy's advice is sound no matter what the plant is.
I find with tropicals that it is less important to have a "fast draining" soil - although good drainage is important, so is organic matter.

If you have had this plant for 2 years, and can now lift the plant out of the pot, it is probably severely root-bound and should be repotted asap. If you are anxious about it - get someone to do it for you.

Sorry, you're right about the names.