By definition, finance is a branch of economics concerned with resource allocation as well as resource management, acquisition and investment. There are multiple sectors of finance. This include but is not limited to personal finance, financial services, corporate finance, public finance, financial risk management, financial economics, financial mathematics, experimental finance, and behavioral finance.
In simple terms, finance deals with matters related to money and money markets. This free online video tutorial courtesy of Khan Academy covers the above mentioned financial sectors and much more.
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