The “finance” major in the business school is a regular finance major. There are also options for students in the MSB to do majors in international business, where they take some classes in the School of Foreign Service, but these are separate from the general finance major.
Economics is different from finance, and is not in the business school. You can study economics both in the School of Foreign Service (International Economics (IECO) or International Political Economy (IPEC)), or in Georgetown College (Economics (ECON) or Political Economy (PECO)).
I am more familiar with the College, because that is the school that I am in. Basically, there is a lot of crossover between economics in the College and economics the SFS, and many of the courses are the exact same. Students in the SFS will have to complete the much larger SFS core, which includes other classes in international relations and a language requirement, whereas economics in the College offers much more flexibility and less overall requirements. The difference between Political Economy and Economics is that the PECO major requires coursework in the Government department.
If you want to look at the classes offered in the various departments, you can look at this Spring’s schedule of courses here:
https://myaccess.georgetown.edu/pls/bninbp/bwckgens.p_proc_term_date?p_term=201610&p_campus=MN&p_calling_proc=bwckschd.p_disp_dyn_sched#_ga=1.177179685.1680112856.1434941978
The undergraduate curriculum in the McDonough School of Business is here:
http://msb.georgetown.edu/programs/undergraduate/academics/curriculum
The requirements for the undergraduate major in Economics is here:
http://bulletin.georgetown.edu/page/1242706925513.html#_ga=1.214917271.1680112856.1434941978