GIC Asset Management Company is associated with the General Insurance Corporation (GIC) of India.
It manages funds related to general insurance and its own mutual fund schemes.
GIC Mutual Fund and GIC Housing Finance are both under the GIC group umbrella.
LIC Housing Finance, on the other hand, is a subsidiary of the Life Insurance Corporation (LIC) of India.
It provides housing loans and is managed independently by LIC, not by GIC or its Asset Management Company.
Similarly, the Export Credit Guarantee Corporation (ECGC) is also a separate entity providing credit insurance to exporters.
Among the given options, LIC Housing Finance clearly does not fall under the GIC Asset Management Company.
Therefore, the correct answer is LIC Housing Finance.