Correction to: Yield curve shapes of Vasicek interest rate models, measure transformations and an application for the simulation of pension products

Due to an error in the proof of Lemma 1 in the appendix of [1], the proof of the assertions (c) and (d) of Theorem 4 on the existence of humped and dipped yield curves in the two-factor Vasicek model needs a modification. However, the assertions stay valid. It can directly be realized that the proof of Lemma 1 holds for h:=f−g and not for h:=f+g as we falsely claimed. Consequently, Lemma 1 can not be applied. Using the notation of Section 3 in [1], we will reformulate Theorem 4 slightly and then give the corrected proof for humped and dipped yield curves.