If you are required to take the CFA exam for your job and your employer does not reimburse you for the fee, then you can claim it on your takes as an unreimbursed business expense.
The fees for all those exams which add to a person's professional qualifications and would help him or her in his/her business are deductible from the Income.
No, this fee is not tax deductible. If you own your own business and this expense is a business expense you can use it to offsett your business's income. This will result in lower taxes.