* Emirates NBD investment charts new course for bank sector * Stock surges despite open offer at below current market price * Capital to allow RBL to expand in secured retail, corporate loans * Stocks of small- and mid-sized Indian banks climb (Recasts throughout and adds stock chart) Oct 20 (Reuters) – Shares of India's RBL Bank surged to a five-year high after Emirates NBD announced a $3 billion investment in the lender, with investors betting the deal will turbocharge foreign investor interest in the country's banking sector amid easing regulations. The largest cross-border deal in India's financial sector, which lifted shares across the industry, signals a new direction not just for the lender but also for the country's broader banking sector, analysts said. Under the deal, Emirates NB

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