The investigators will perform a clinical trial of PCSK9 inhibition in the setting of HIV infection. This will be a randomized, placebo-controlled study to evaluate the effects of PCSK9 inhibition on vascular inflammation, endothelial function, and non-calcified plaque using a PCSK9 inhibitor called alirocumab. This study will recruit 140 treated individuals with HIV who are aged 40 and older, with known CVD or risk factors for CVD and who have evidence of vascular inflammation at baseline.