Structures and energetics of BLin (n = 4-8) clusters are predicted using the SCF, MP2, and B3LYP methods with the 6-31G(d) basis set, including energy evaluations at G2MP2. Cohesive energies, defined as the enthalpies of the BLin --> B + Li-n reactions, and Li and Li-2 elimination reaction enthalpies are also estimated at B3LYP. This level of theory predicts the boron cohesive energy to increase up to the BLi6 cluster after which it levels off. All BLin systems are thermodynamically stable with respect to Li and Li-2 dissociations; BLi4 has the largest reaction enthalpies. The energetics of the hyperlithiated borides obtained with B3LYP/6-31G(d) are in reasonable agreement with those at G2MP2 but less satisfactory than those of the smaller BLin (n =1-3) systems, Computations on BLi4 with multiconfigurational quasidegenerate perturbation theory indicate that the B3LYP/6-31G(d) energies may be more reliable for the larger BLin systems.