Exercises_-_Chapter_8

Exercises_-_Chapter_8 - ACTSCI 331 - Life Contingencies I...

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ACTSCI 331 - Life Contingencies I Exercises (Chapter 8) year of death and the premium paid by the insured at the beginning of the year (if alive) are respectively b K +1 = 1000, K = 0, 1, . .., 24 500, K = 25, 26, . .. and k = 8 < : 3 k = 0, 1, . .., 14 2 , k = 15 , 16, . ..29 0, k = 30 , 31, . .. : Given that k A 40+ k A 1 40+ k : 25 k j a 40+ k : 15 k j a 40+ k : 30 k j 0 0.202 0.114 10.005 13.414 10 0.316 0.149 4.386 10.806 20 0.458 0.112 ± 6.929 40 0.744 ± ± ± , j L for all possible values of j (b) compute 10 V , 20 V and 40 V . (Answers: 4.29, 120.97, 225.55, 372) 2. A special whole life insurance is issued to (35) with the following embedded components: k + 1 ) year = b k +1 = 50( k + 1 ), k = 0, 1, . ..; Using (1) 10 V 35 = 0.111; (2) ( IA ) 35 = 3.352; (3) A 35 = 0.142; (4) ( IA ) 45 = 4.191; (5) 10 V 35: 25 j = 0.227. , 3. A fully discrete whole life insurance issued to (30) has the following characteristics : (1) b k +1 = e 0 : 06( k +1) , k = 0, 1, 2, . ..; (2) v k +1 = e & 0 : 08( k +1) , k = 0, 1, 2, . .. . .
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Exercises_-_Chapter_8 - ACTSCI 331 - Life Contingencies I...

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