SUMMARY ORDER

Appellants Jan Berkowitz and his company, JMB Group, LLC, through counsel, appeal from the judgment of the district court granting default judgment in their favor, but refusing to award damages or permanent injunctive relief. We assume the parties’ familiarity with the case.

Pursuant to New York law, per se defamation is defined as, inter alia, statements charging plaintiff with a serious crime, or tending to injure him in his trade, business or profession. Liberman v. Gelstein, 80 N.Y.2d 429, 435, 590 N.Y.S.2d 857, 605 N.E.2d 344 (1992). “When statements fall within one of these categories, the law presumes that damages will result,” and a plaintiff, therefore, need not plead nor prove special damages, or “the loss of something having economic or pecuniary value.” Id. at 434-35, 590 N.Y.S.2d 857, 605 N.E.2d 344 (internal quotation marks omitted). It was therefore error for the district court to dismiss Appellants’ claim *65of damages as speculative. Appellants may also be able to show specific pecuniary harm, but presumed damages exist precisely because damage to a plaintiff’s reputation often “cannot be proved with mathematical accuracy.” N.Y. Pattern Jury Instr.-Civil 3:29. Under New York law, fact finders are free to consider the “plaintiffs standing in the community, the nature of defendant’s statement made about the plaintiff, the extent to which the statement was circulated, the tendency of the statement to injure a person such as the plaintiff, and all of the other facts and circumstances in the case” in order to determine “[flair compensation,” which can “rang[e] from one dollar ... to a substantial sum.” Id.

Following a default, the court takes as true the well pleaded allegations in the complaint, but does not assume that the amount prayed for accurately states damages. Transatlantic Marine Claims Agency, Inc. v. Ace Shipping Corp., 109 F.3d 105, 111 (2d Cir. 1997). We therefore reverse and remand for the court to hold an inquest on damages as necessary. Id.; see Wright & Miller, 10A Fed. Prac. & Proc. Civ. § 2688 (3d ed.). Since the district court also denied sub silentio Appellants’ claim for punitive damages the court should consider in the first instance whether punitive damages are appropriate. Prozeralik v. Capital Cities Commc’ns, Inc., 82 N.Y.2d 466, 479-80, 605 N.Y.S.2d 218, 626 N.E.2d 34 (1993) (discussing the standard for punitive damages in defamation cases).1

Finally, we find no abuse of discretion in the district court’s denial of Appellants’ request for injunctive relief. Constitutional concerns and long tradition make courts often wary of enjoining defamation. Metro. Opera Ass’n, Inc. v. Local 100, Hotel Employees & Rest. Employees Int’l Union, 239 F.3d 172, 177 (2d Cir. 2001); Dan B. Dobbs, Paul T. Hayden and Ellen M. Bublick, The Law of Torts § 576 (2d ed.).2 The proposed injunction barred not only defamatory statements, but any “negative statements or comments” by Appellee about Appellants or Berkowitz’s family, business associates, or lawyers. The district court reasonably concluded that this language was over-broad and vague.

We have considered the parties’ remaining arguments and find them without merit. For the foregoing reasons, the judgment of the district court is hereby AFFIRMED IN PART, REVERSED IN PART, and REMANDED.