Driver magazine, has a starting price of about 245,000 euros ($332,500) in Europe but Asian buyers pay a premium.
The same car sells in Singapore for S$1,258,888 ($1.01 million) and in India for about 46 million rupees ($743,800), both prices reflecting high import duties on premium vehicles.
Rolls-Royce will not stray from the roots of the Phantom and Ghost but the Wraith caters to younger wealthy drivers who want a coupe-like car rather than a sedan, Mueller-Oetvoes said.
"I wouldn't call it a sports car but it is something which is more a dynamic type of Rolls-Royce," he said.
Sport-utility vehicles (SUVs) may also be in the picture as high-end brands Bentley and Lamborghini, both owned by Germany's Volkswagen AG, get into that market.
Mueller-Oetvoes said he was convinced the SUV market would keep growing and there would be a luxury element.
Rolls-Royce has done initial drawings and is giving SUVs "careful consideration", he said, but there is no rush "because I would like to make 100 percent sure that if we enter this segment then we have really an immaculate, excellent solution".
Plenty of Ferraris, Lamborghinis, Maseratis and other super cars zoom along the streets in Singapore and elsewhere in Asia but Mueller-Oetvoes said "our competition is not other cars".
"We are rare, we are highly exclusive and we don't want to be seen at every single street corner," he said. "Our breed of customers, if they like both cars, they would buy both cars. It is a competition which is more may I go for art, may I go for jewellery or a precious watch or a chalet in the Swiss Alps."
So what does the boss of Rolls-Royce drive?
"In my home garage sits a Ghost but in the near future also a Wraith," Mueller-Oetvoes said. "I have a BMW as well sitting in there and an old Mini but this is it."