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Singapore is the most expensive place in the world to own and operate a car.
It is not allowed to import used cars (and new ones incur 150% of their value import tax).
You have to bid for a CoE - a permit to own a car (valid for 10 years and currently costing above S$50000).
Add to that parking costs, highway tolls, petrol prices, the crowded streets and the excellent state of the public transport network and living without car suddenly seems the much better option!

Agree
Singapore is the most expensive city currently, mostly because of housing and cars.
Buying a second hand car with CoE expiring in 3-4 years may cost at least 20-30k. I think it would be much more expensive to import a car. Public transport is convenient and the country is small. Cabs are not too expensive too.

To import a car into Singapore, need to be following various paper works and approval process at LTA, and the import car must be less than 3 yrs of use and will pay $10,000 surcharges. Below a 27 pages PDF link will give you detailed procedures to bring an used car into Singapore.