Actuard

Actuarial Society of India EXAMINATIONS June 2005 CT5 General Insurance, Health and Life Contingencies apocalyptical Solution Soln 1 n q [x] [y] represents the probability that a guide life, now sr. y, will die within n stratums, having been predeceased by a select life now fourth-year x. [2] 2 Soln 2 The payments correspond to a pull ahead that is deferred for 10 years, then makes payments annually in locomote during the remaining lifetime, up to a maximum of 25 payments. [1] In terms of actuarial symbols, the expected present value is: E[g(k)] = (D50 /D40 ) ä50:25 = (D50 /D40 ) (ä50 (D75 /D50 ) ä 75) = 1366.61 X 17.444 363.11 X 8.524 2052.96 [2] heart [4] [1] = 10.104 Solns 3 q[40] q[40] + 1 q[40] + 2 q[40] + 3 q[40] + 4 = = = = = 0.5 q40 0.55 q41 0.7 q42 0.8 q43 0.9 q44 = 0.5 X 0.00172 = 0.00086 = 0.55 X 0.00186 = 0.001023 = 0.7 X 0.00201 = 0.001407 = 0.8 X 0.00219 = 0.001752 = 0.9 X 0.00240 = 0.00216 => p[40] = 0.99914 => p[40] + 1 = 0.9 9898 => p[40] + 2 = 0.99859 => p[40] + 3 = 0.99825 => p[40] + 4 = 0.99784 [ ½] [ ½] [ ½] [ ½] [ ½] [1] l[40] X p[40] X p[40] + 1 X p[40] + 2 X p[40] + 3 X p[40] + 4 = l 45 ð ð l[40] X 0.99282 = l[40] = 95521 96212 original [ ½] [4] Soln 4. Construct a multiple decrement put despatch Age No of lives Deaths 30 31 100000 80833 xcl 153.

58 No of withdrawals everyplace year 9995 No of withdrawals year finale 8982 At age number of deaths = 100000*0.002*(1-0.5*0.1)= xcl [1] No of withdrawals over the year=100000*0.1*(1-0.5*0.002)= 9995 [1] No of withdrawals over year end =100000*(1-0.1)*(1-0.0 02)*0.1= 8982 [1] Required luck =80833*(1-0.! 5*0.1)*0.002= 153.58 [1] Probability= 153.58/100000= 0.0015358 [1] Total [5] Soln 5 The premium is given by: P = 20000 ä67:63 ä 67:63 (12) (12) [ ½] [3] [1] = ä67 + ä 63 - ä 67:63 (11/24) = 12.834 + 15.606 11.687 0.458 = 16.295 => P = Rs.325,900 [ ½] Total [5] Soln 6 P be the premium then maturity benefit is 1.21550625 [ ½] The...If you want to get a full essay, rank it on our website: OrderCustomPaper.com

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