Question 9 - Sample Life Table Use blue cells for intermediate steps as needed. Put final answers in yellow cells. You may add more blue/yellow cells if needed. a) Complete the missing yellow columns in the life table provided. b) Calculate the probability that an individual aged 45 survives to age 80. c) Calculate the curtate life expectancy of an individual aged 45. b) c) d) Estimate the complete life expectancy of an individual aged 55. State any assumptions. d) e) Calculate the curtate life expectancy of an individual aged 30 over a 40-year term. e) Answers x 1x qx 100,000.0 21 99,975.0 22 99,949.7 23 99,924.0 24 99,897.8 25 99,871.1 26 99,843.8 27 99,815.9 28 99,787.2 29 99,757.7 30 99,727.3 31 99,695.8 32 99,663.2 33 99,629.3 34 99,593.8 Answers (a) Px dx c) k c) kp45 Use as needed for calculations d) k d) kp55 e) k e) kp30 35 99,556.7 36 99,517.8 37 99,476.7 38 99,433.3 39 99,387.3 40 99,338.3 41 99,285.9 42 99,229.8 43 99,169.4 44 99,104.3 45 99,033.9 46 98,957.6 47 98,874.5 48 98,783.9 49 98,684.9 1x qx Px dx c) k c) kp45 d) k d) kp55 e) k e) kp30 Answers (a) x 1x qx Px dx c) k c) kp45 50 98,576.4 51 98,457.2 52 98,326.2 53 98,181.8 54 98,022.4 55 97,846.2 56 97,651.2 57 97,435.2 58 97,195.6 59 96,929.6 60 96,634.1 61 96,305.8 62 95,940.6 63 95,534.4 64 95,082.5 Use as needed for calculations d) k d) kp55 e) k e) kp30 x 566 1x qx 94,579.7 94,020.3 67 93,398.1 68 92,706.1 69 91,936.9 70 91,082.4 71 90,134.0 72 89,082.1 73 87,916.8 74 86,627.6 75 85,203.5 76 83,632.9 77 81,904.3 78 80,006.2 79 77,927.4 Answers (a) Px dx c) k c) kp45 Use as needed for calculations d) k d) kp55 e) k e) kp30 Answers (a) x 1x qx Px dx c) k c) kp45 80 75,657.2 81 73,186.3 82 70,507.2 83 67,614.6 84 64,506.5 85 61,184.9 86 57,656.7 87 53,934.7 88 50,038.6 89 45,995.6 90 41,841.1 91 37,618.6 92 33,379.9 93 29,183.8 94 25,094.3 Use as needed for calculations d) k d) kp55 e) k e) kp30 Formula Bar x 1x 9x 94 25,094.3 95 21,178.3 96 17,501.8 97 14,125.9 98 11,102.5 99 8,469.7 100 6,248.2 101 4,726.3 102 2,986.3 103 1,034.2 104 872.0 105 0 Answers (a) Px dx c) k c) kp45 Formula Bar Use as needed for calculations d) k d) kp55 e) k e) kp30