Whether you should or should not is a decision you have to make: do you feel it looks better for you to resign or to be let go, in terms of your resume and looking for another position. We cannot advise you as to that, but you may wish to consult with a recruiter or career coach.The above said, if they are accuring you of mismanaging finances, you may wish to not resign, since resigning in response to an allegation of mismanagement could be taken as your agreement with that allegation. They could, for example, tell others (e.g. if a prospective employer calls them for a reference)  that you resigned after you were accused of mismanagement--since that would be a truthful statement, they could make it.We can let you know that you may absolutely refuse to submit a letter of resignation if you like: resignations are voluntary. So if you decide that resigning under these circumstances is not in your interest, you do not have to.