It is well-known that, in Kishkindha Kāṇḍa, before Hanumān begins his search for Sītā, Rāma gives his signet ring to Hanumān which he later hands over to Sītā saying:
O illustrious lady! I am a monkey and a messenger of the wise Rama. O princess! Look at this ring too, marked with Rama's name.
I brought this ring given by the high souled Rama, for the purpose of gaining your confidence. Get consoled indeed. Happiness to you! You are now free from the object of your grief.
Back in Ayodhya Kāṇḍa, Kaikeyi's second wish was:
Rama has to take refuge in the forest of Dandaka for fourteen years and let him become an ascetic wearing rags, deer skin and matted hair.
But unlike his other ornaments, why didn't Rāma leave his ring back in Ayodhyā before setting out to the forest? Why was he carrying his ring with him?