We present sensitivity studies using the AER box model for an idealized parcel in the lower stratosphere at 70 degrees N during winter/spring with different assumed stratospheric coolings and chlorine loadings. Our calculations show that stratospheric cooling could further deplete ozone via increased polar stratospheric cloud (PSC) formation and retard its expected recovery even with the projected chlorine loading decrease. introduce the concept of chlorine-cooling equivalent and show that a 1 K cooling could provide the same local ozone depletion as an Increase of chlorine by 0.4-0.7 ppbv for the scenarios considered. Thus sustained stratospheric cooling could further reduce Arctic ozone content and delay the anticipated ozone recovery in the Northern Hemisphere even with the realization of the Montreal Protocol and its Amendments.