Yomeiya: Rougetsu

Kizuki Sakaki is a handsome, intelligent, and young male university student from a distinguished family who has become involved in politics. One day, a mysterious female student named Yui appears before him and claims to have the special ability to see how much time people have left to live. As soon as they meet, she makes a shocking confession to Kizuki: "You only have four days left to live, senpai♡" Kizuki doesn't take this absurd story seriously, but then he witnesses someone die just as Yui predicted...!? Human desires and lives intertwine in this suspenseful battle of wits between life expectancy specialists who trade people's lives! (Source: Shueisha, translated)