An 80-year-old man is evaluated for a 5-year history of progressive cognitive decline. According to his daughter, his cognitive difficulties began after a series of “ministrokes” characterized by the acute onset of slurred speech, difficulty ambulating, and weakness; these symptoms typically improved after onset but never resolved entirely. He recently has had difficulty managing his financial affairs, completing tasks, and understanding abstract concepts; other recent symptoms include a slowed reaction time, slowness in speaking and completing tasks, shuffling of gait, urinary incontinence, and sudden involuntary laughing and crying. The patient has hypertension, coronary artery disease, depression, and hyperlipidemia. Medications are lisinopril, aspirin, bupropion, and atorvastatin.

On physical examination, vital signs are normal. Other findings from the general physical examination are unremarkable. Neurologic examination reveals mild right-sided weakness, right-sided hyperreflexia, and difficulty initiating forward movement of the feet (“magnetic gait”).

An MRI of the brain shows extensive periventricular white matter lesions and small-vessel disease involving the basal ganglia. The ventricles are normal in size.

Which of the following is the most likely diagnosis?