What are the possible answers for such interview question assuming a new graduate with no funds! How much funding you will bring to the department?
This is an invitation to discuss your plans for obtaining external funding. They want your answers to questions like the following:
What agencies fund research like yours?
What projects do you have that you think would be successful in gaining external funding?
Why do you think you would be successful? Can you point to similar (but not too similar) projects that have been funded? Why would a funding agency agree your work is worthy of support? Why would they agree that you are a qualified person to carry out the work, and that your project is likely to actually produce useful results? How would you convince them? What supporting evidence would you use?
How large would those grants be likely to be? How do you know?
When do you propose to begin applying for such grants? Is there anything specific that needs to happen first?
Do you have collaborators in mind with whom you might co-apply? Have you discussed this with them?