Cost of the exchange, hmmm different sources tell me different things but i can provide some knowledge as to what i know and update the final figure if i get to go. Ok, the one on the right are estimates from HK Poly Uni. so with other expensitures such as airfares, it would cost presumely around 7k on top of your 5k schoolfees. (NOT INCLUDING SHOPPING)
For the US, taking UM as an example the estimates- Living expenses for one semester:Housing: $3100.00 Meals: $3000.00 Books & Supplies: $800.00 Medical insurance: $400.00 Other: $300.00 Total US$ 7600.00. Converted to S$ using a conversion rate of 1.36 it would be around $10,336. Adding airfare of estimate $2,300 it would cost $12,636. A safety estimate including some shopping and budget travelling would cost you to increase the cost to $15,000 plus $5000 for your school fees that would be $20,000. Taking note that this is a public school, private schools could cost more.
Some schools do have hostels that have kitchens and if you can cook and don't mind the cleaning that is one way to save money. Bearing in mind sometimes conflict arise between room mates because of how they use the kitchen so well up to the individual.