Economy means economic, which is mainly related to the trade, industry or development of a country, government, region or society.
For example, the economic policy of the government.
Finance means finance, finance and finance, and it is mostly related to money (which can be personal) or finance.
For example, fall into economic difficulties;
She still depends on her parents financially. She still depends on her parents financially.
In addition, financial aid means grants and student loans. Apply for a grant.