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Unformatted text preview: annual beneﬁt premiums are level and: k 1000 k V 45 q 45+ k 22 235 0.015 23 255 0.020 24 272 0.025 Calculate the 25th year terminal beneﬁt reserve. (286.04) 5. For a fully discrete whole life insurance with nonlevel beneﬁts on (70): (i) The annual level beneﬁt premium for this insurance is equal to P 50 . (ii) q 70+ k = q 50+ k + 0.01 for k = 0, 1, . .., 19 (iii) q 60 = 0.01368 (iv) k V = k V 50 for k = 0, 1, . .., 19 (v) 11 V 50 = 0.16637 Calculate the net amount at risk for year 11. (0.4816) 6. For a special fully discrete 3year endowment insurance on (65): (i) The death beneﬁt is 5000 plus the beneﬁt reserve at the end of the year of death. (ii) The pure endowment beneﬁt is 5000. (iii) The annual level beneﬁt premium is π . (iv) p 65+ h = 0.97 for h = 0, 1, 2. (v) i = 0.06 Calculate: 1 V . (1570.55) 2...
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This note was uploaded on 05/18/2011 for the course MATH 472 taught by Professor Zhu during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Zhu
 Math

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