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An insurer issues 20,000 identical policies at time to to 20, 000 identical and identical and statistically independent lives, having the following characteristics, Sum assured

An insurer issues 20,000 identical policies at time to to 20, 000 identical and identical and statistically independent lives, having the following characteristics, Sum assured payable on the death before t: GHS 20,000 Expected proportion dying before t: 0.1 Single Premium : GHS 1100 The shareholder provided capital of GHS 5 million, (22.7% of the total premium of the premium income). The expenses and investment income are 5% of premium income. Estimate the

i. expectation and the risk of the claim

ii. probability of insolvency

iii. expected cost of insurance.

iv. Expected return on capital to the shareholder.

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