Is the Hajj of a child who has not reached puberty accepted?

Scholars have agreed that Hajj and Umrah are not obligatory for those who have not reached puberty, based on the Prophet's (peace be upon him) saying: "The pen is lifted from three: from the child until he reaches puberty, from the insane person until he recovers, and from the sleeper until he awakens." The correct view is that the Hajj performed by a child is valid and rewarded, and this is the opinion of the majority of scholars, based on the Hadith narrated by Ibn Abbas (may Allah be pleased with them both) that the Prophet (peace be upon him) was asked about a child's Hajj and he said: "Yes, and you will have a reward."