A modular wall assembly structure capable of withstanding adverse external forces such as extreme weather conditions is disclosed. The modular structure is formed from a plurality of substantially parallel framing studs. A wallboard panel is affixed to the framing studs, and a support component is attached to the rear side of the framing studs to provide tensile strength to the wall structure. The modular wall assembly structure can be used to prepare solid wall panels, window panels, door panels, and corner panels. The wall assembly structure is sufficiently strong to withstand hurricane force winds without being destroyed. A method for constructing a modular wall exterior wall structure is also provided.