Child Prostitution

Although child prostitution is known to be unethical by many all over the world, yet it is still rampant throughout many countries especially in third world countries where many kids are forced to do so to earn a living.
However,speakin in economics terms,without a demand in the first place there would not be a supply for it.As a result of the demand for it,children are exploited into going into the trade of child prostitution.Therefore,I believe it is the perverted people who demand for such services that are the root of the problem.
I do not really understand the rational behind the demand of child prostitution other than a possible reason that it could be cheaper in comparison.But,do these people not feel guilty?They are exploiting these children who do not have a choice because of their poor family background.What if their daughters were forced into the trade of child prostitution when they one day become poor also and have no other alternatives to earn a living.
Maybe the first and foremost thing that could be done to improve on the situation is for governments to provide daily subsidies to poor families in their countries so that the situation of child prostitution will improve nad perhaps over time be eliminated.