The investigators will conduct a prospective randomized controlled trial designed to evaluate the effects of a supervised aerobic and challenging balance exercise (AeroBal) program on balance and mobility function (primary outcome), and fall risk and physical function (secondary outcomes) in patients with moderate ACAS. The investigators hypothesize that aerobic and challenging balance exercises will lead to greater improvement in balance and mobility function, de-creased fall risk, and improved perceived physical function in patients with moderate ACAS compared to standard-of-care vascular risk-factor reduction alone. Patients will undergo 1:1 blocked randomization on sex into either the exercise training group plus standard-of-care or the control group undergoing standard-of-care vascular risk-factor modification alone. To account for attrition, the investigators aim to enroll a total of 50 patients and anticipate completing the study with 34 patients. Baseline demographic data, medical history, balance and mobility function, physical function, cerebral perfusion (PW-MRI and fNIRS) and vasoreactivity (TCD) will be collected on all patients. The exercise training group will perform 12 weeks of supervised aerobic and balance exercises. In order to maintain consistency in contact between the clinical research team and the control subjects versus the intervention group, control participants will be contacted via telephone on a weekly basis to discuss the importance of vascular risk factor management and adherence to prescribed medical management. To assess the change in outcome measures, the investigators will repeat measurements in both groups at 6- and 12-weeks. PW-MRI will only be performed at the 12-week visit to minimize patient risk and contain costs. The primary outcome measure (change in Mini BESTest score) and secondary measures (fall rate and physical function) for Aim 1, and the primary outcome measure (TTP on PW-MRI) and secondary outcome measures (BHI on TCD and change in oxy-hemoglobin concentration on fNIRS) for Aim 2 will be analyzed.