This paper presents an analytical method for designing monolithic, broad-band transimpedance amplifiers with inductive peaking. We derive closed-form, symbolic solutions for the small-signal transimpedance, analyze the effects of different types of inductive peaking on system performance and show that it is possible to optimize system performance through proper choice of inductance. We analyze both ideal and nonideal inductors, in both cases validating our derivations through comparison with the well-established simulator, Microwave SPICE. Finally, we consider the effects that inductive peaking has on system stability.