The student cannot join the postgraduate MA program directly in the second year of the MA after completing the MBA.

Universities generally expect students to begin the first year of a masters' program even though they had qualifications at the level of a bachelor's degree. The university's curriculum along with the courses are planned to give an in-depth knowledge of the subjects.

But you could opt for:

Postgraduate Studies:

Research Career: In case research interests you, then you can pursue a Ph.D. in your specific interest.

Specialized Master's Programs: Find any specific master's course that supports the career goal.

Professional Certifications:

Make a professional certification in CFA, CA, or FRM to enhance the professional skills and better opportunities in the career field.

Job Entry via MBA

After gaining an MBA from a renowned institution, it's possible to get entry into the corporate world where the diversity in the career field is assured.

In the end, it would depend on what you would like and what you are particularly interested in. It will be better if you take a suggestion from your academic advisor or career counselor.