The unpolarized absorption and circular dichroism spectra of the fundamental vibrational transitions of the chiral molecule 4-methyl-2-oxetanone are calculated ab initio. Harmonic force fields are obtained using density functional theory (DFT), MP2 and SCF methodologies, and a [5s4p2d/3s2p] (TZ2P) basis set. DFT calculations use the LSDA, BLYP, and Becke3LYP (B3LYP) density functionals. Mid-IR spectra predicted using LSDA, BLYP, and B3LYP force fields are of significantly different quality, the B3LYP force field yielding spectra in clearly superior, and overall excellent, agreement with experiment. The MP2 force field yields spectra in slightly worse agreement with experiment than the B3LYP force field. The SCF force field yields spectra in poor agreement with experiment. The basis set dependence of B3LYP force fields is also explored : the 6-31G* and TZ2P basis sets give very similar results while the 3-21G basis set yields spectra in substantially worse agreement with experiment.