LONDON (Reuters) - Royal Bank of Scotland's new Chief Executive Alison Rose unveiled a new strategy for the taxpayer-backed bank on Friday, including radically cutting back the size of its loss-making investment bank and renaming the company NatWest.Rose, the first woman to lead one of Britain's major banks, is hoping a rebrand will help shift the lender's image away from its 45 billion pound bailout in the 2008 financial crisis.The strategy includes plans to halve investment bank NatWest..