American International Group Inc. is plotting its entry into Malaysia’s Islamic insurance market, lured by the country’s economic expansion and an industry that has grown more than fivefold in less than a decade. The insurer will start a Shariah-compliant reinsurance business by June and may eventually offer a fuller range of services, Antony Lee, chief executive officer at AIG’s Malaysian unit, said. In line with the continuing expansion of the takaful business, the demand for retakaful is expected to expand between 15 percent and 20 percent on an annual basis. However, a key challenge for retakaful companies is their limited ability to compete with their larger non-Islamic counterparts for business that requires a bigger balance sheet.