XYZ Company specializes in the production of Suds-Away, an environmentally friendly dishwashing detergent for homes. The net worth of XYZ company is GH2,000,000. The Companys liability exposure, , for the coming year is given by = { GH0 with probability 0.975 GH250000 with probability 0.015 GH1000000 with probability 0.01 I. The administrative charge of the companys insurers GH1000 is incurred at the inception of the insurance contract. Suppose insurers fair profit loading GH500, and that the interest rate is 5%, determine the fair premium in each of the following cases. i) Full insurance ii) GH50000 deductible and 20% co-insurance. iii) GH50000 deductible, 20% co-insurance and GH750000 limit. II. Write down the wealth distribution of XYZ Company. Use the concave utility function () = to assess the fairness of the full insurance charged by its insurers.