We investigate the extent to which the number of clusters of mass exceeding 1015 M h−1 within the local super-volume(< 135 Mpc h−1) is compatible with the standard CDM cosmological model. Depending on the mass estimator used, we findthat the observed number N of such massive structures can vary between 0 and 5. Adopting N = 5 yields CDM likelihoods aslow as 2.4 × 10−3 (with σ 8 = 0.81) or 3.8 × 10−5 (with σ 8 = 0.74). However, at the other extreme (N = 0), the likelihood is oforder unity. Thus, while potentially very powerful, this method is currently limited by systematic uncertainties in cluster massestimates. This motivates efforts to reduce these systematics with additional observations and improved modelling.