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1. The claim cost of an insurance company follows a normal distribution with an expected value of $500 million and a standard deviation of $100 million. Based on the above, work on the following questions.
A) In the graph, indicate the probability of insolvency of the insurer when it has an asset of $750 million. Please clearly label the axes.
B) Show the probability of insolvency of the insurer after the insurer raises $100 million of new capital.
C) Compute the probabilities of insolvency for the insurer when its total assets are respectively $750 and $850 million.
D) What is the firm's value at risk at the 1% level?
2. Based on the distribution in Problem 2 (the firm's total asset is $750 million), show in the graph how the probability of insolvency changes when the insurer cedes a proportion of its liabilities to a reinsurer and simultaneously reinsurers a similar amount of business from another insurer with a similar, but uncorrelated book of business. Also explain your results in words.
Finance is about Gunns Ltd, a company in dealing with forestry products in Australia. The company has also been listed in Australian Stock Exchange. As many companies producing forestry products, even Gunns Ltd is facing various problems. Due to the ..
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