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In terms of quest rewards with leveled stats, when is it determined? The beginning of the quest or the end? For example, in terms of the Ring of Sunfire, is its level determined when Ralsa finds you or when Roland actually gives you the Ring? Is the level for the Charity of Madness determined when you reach Passwall or when you enter the Gates of Madness?

AFAIK it is when you are given the item. I often kill Seridur around level 5 and get the ring at level 10 for the higher value. Similary, with the Dark Brotherhood, you can do an assassination and then put on the Gray Cowl when you report in for the next assignment id you want to put the infamy point on the Gray Fox instead of you.