Wide subcategories are semistable

For an arbitrary finite dimensional algebra $\mathrm{\Lambda }$, we prove that any wide subcategory of $\mathsf{m}\mathsf{o}\mathsf{d}\mathrm{\Lambda }$ satisfying a certain finiteness condition is $\theta$-semistable for some stability condition $\theta$. More generally, we show that wide subcategories of $\mathsf{m}\mathsf{o}\mathsf{d}\mathrm{\Lambda }$ associated with two-term presilting complexes of $\mathrm{\Lambda }$ are semistable. This provides a complement for Ingalls-Thomas-type bijections for finite dimensional algebras.