Is it allowed to hang Qur'anic Verses in one's home? (e.g. framed hand made or Islamic calligraphy and the like).

Praise be to Allah, the Lord of the World; and blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
There is no harm in hanging some Qur'anic verses on the walls of the rooms or the library whether written on plastic or wooden frames provided they are in a place where no children can play with them.
As for what some people do, i.e. hanging some Qur'anic verses in the front of their cars exposing them to dust, dirt and even impurities this is unlawful as Qur'an should be treated according to its High Status. On the other hand, we remind you that we do not advise people to hang Qur'anic verses in their houses as Qur'an is for worship and meditation on its meanings and miracles and learning lessons from its stories.
Indeed, Qur'an was not revealed to be used as a decoration.
Allah knows best.