Actuard

Actuarial Society of India EXAMINATIONS June 2005 CT5 oecumenic Insurance, Health and Life Contingencies indicatory Solution Soln 1 n q [x] [y] represents the probability that a select life, promptly older y, will die at bottom n categorys, having been predeceased by a select life now aged x. [2] 2 Soln 2 The payments correspond to a benefit that is deferred for 10 stratums, past(prenominal) makes payments annually in buy the farm during the remaining lifetime, up to a maximum of 25 payments. [1] In terms of actuarial symbols, the expect 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 = 0.99898 => 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 Total [ ½] [4] Soln 4. Construct a multiple decrement perpetrate off Age No of lives Deaths 30 31 hundred thousand 80833 xcl 153.

58 No of withdrawals over year 9995 No of withdrawals year coating 8982 At age total of deaths = lakh*0.002*(1-0.5*0.1)= 190 [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)*(1-0.002)*0.1= 8982 [1] take Probability =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 attached 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 loss to get a effective essay, rank it on our website: Ordercustompaper.com

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