General:
* Funding
* Money
* Capital
* Resources
* Assets
* Wealth
More specific:
* Investment (focus on acquiring assets)
* Banking (focus on financial institutions)
* Accounting (focus on recording and managing financial transactions)
* Economics (focus on the broader study of financial systems)
* Budgeting (focus on planning and controlling financial resources)
The best synonym for "finance" depends on the specific context you're using it in.