Question $3(15$ marks$).$ In the calendar year $2023,$ ABC Insurance company has the following reinsurance program for its property insurance portfolio.

Reinsurer A: a $60\%$ quota share reinsurance treaty subject to an aggregate limit of $ $10$ million.

Reinsurer B: a Per Risk excess of loss reinsurance of $$500,000$ excess of $$500,000$ for its retention under the quota share reinsurance treaty.

Reinsurer C: a Per Risk excess of loss reinsurance of $$1,000,000$ excess of $$1,000,000$ for its retention under the quota share reinsurance treaty.

Reinsurer D: a Per Risk excess of loss reinsurance of $$2,000,000$ excess of $$2,000,000$ for its retention under the quota share reinsurance treaty.

ABC insurance company underwrites a home with a total sum of insured of $10$ million. There is a valid claim of $6$ million from this home. How will this claim be paid by this reinsurance program? $(15$ marks$)$