An insurance company paid the following claims: $30,000, $40,000, $20,000, $20,000, $50,000, $10,000, $30,000, $30,000, $10,000, $30,000, $10,000, $60,000, $10,000, $50,000, $100,000.
i) Find the burden of the reinsurer using a proportional reinsurance scheme with a percentage share of 40% (the reinsurer pays a percentage equal to 40% of each claim).
ii) Find the limit of equalization reserve, d, for an equivalent reinsurance contract with "excess of loss" coverage.