Roy is suffering from DELUSION.
Delusion is a severe mental illness in which the affected individual belief strongly in a thing that is not real or exist. For instance, a delusioned individual may strongly believe that he is under police surveillance when there is no evidence whatsoever to support the belief. In the question given, Roy believe that he is the Olympic champion in the hundred yard dash, when in reality he may never have attended any Olympic event in his life.
Delusioned individuals can carry out their daily activities and function normally without behaving in a bizarre manner. Delusion disorder usually occur in middle to late life and more women are prone to have the disorder compare to men.