Iincomplete: Suggestions for ability names are welcome.
Notes and Explanations
Vitios has a unique "Hoard" mechanic. While Vitios' first ability (Q) is active, all gold received is sent to his Hoard. Gold that is in the Hoard cannot be spent in the shop. Instead, it is consumed by Vitios' ultimate.
The third spell (E) is a skillshot. At maximum rank and maximum attack speed, the ability only gives 225 gold total. Subtracting the cost of the ability, the gold gain is only 125. You also have to consider reaction time and aim. Even if the spell hits an enemy, you're only likely to get around 60 or 90 gold unless you react very quickly.