The new iPhone 5 price for Singapore was announced 2 days. You can visit Apple Store Singapore to see the prices for the 16GB, 32GB or 64GB models in either Black or White.
iPhone 5 prices start from S$948 for 16GB, S$1,088 for 32GB and S$1,238 for the 64GB. The prices listed here are for unlocked iPhone 5. So, when you buy from Apple online store you do not have to commit to a subscription contract to any of the local telcos such Singtel, M1 or Starhub.
Beside Singapore residents, I guess Apple iPhone fans from neighbouring countries such as Indonesia, Malaysia, Philippines, Thailand and etc. will be eager to get hold the iPhone 5.