Agatha Christie's Poirot (1989)

S2E5 The Disappearance of Mr. Davenheim

Wealthy banker Matthew Davenheim mysteriously vanishes during a stroll from his country estate to the local post office, prompting Scotland Yard's Inspector Japp to investigate. Meanwhile, Poirot, intrigued by magic tricks, wagers Japp five pounds that he can unravel the mystery without ever stepping outside his apartment.