Question: Question 3 (7 marks) A fully continuous 20-year deferred life annuity contract of 1000 per year is issued to (45). You are given that the

 Question 3 (7 marks) A fully continuous 20-year deferred life annuity

Question 3 (7 marks) A fully continuous 20-year deferred life annuity contract of 1000 per year is issued to (45). You are given that the force of mortality is s 1 CUI ACON M2, 30 55 d = 0.06 and | 10 20 kP45 Mg = uo Mc = Mean Mo = que o Mix = 0.0299 0.0449 0.0591 0.936 0.0661 0.0973 0.1258 0.801 0.1643 0.2046 0.2363 0 (a) (2 marks) Define the loss random variable L. (b) (5 marks) Find the premium. Question 3 (7 marks) A fully continuous 20-year deferred life annuity contract of 1000 per year is issued to (45). You are given that the force of mortality is s 1 CUI ACON M2, 30 55 d = 0.06 and | 10 20 kP45 Mg = uo Mc = Mean Mo = que o Mix = 0.0299 0.0449 0.0591 0.936 0.0661 0.0973 0.1258 0.801 0.1643 0.2046 0.2363 0 (a) (2 marks) Define the loss random variable L. (b) (5 marks) Find the premium

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