A company offers a life annuity-due which makes the following annual payments: $2000 at ages 40 to 47; $3850 at ages 48 to 53; $5450 at ages 54 to 60. Consider the following life table: Age (x) 40 41 42 43 44 45 46 Ix 70136 69356 68954 67268 66088 65733 64748 Age (x) 47 48 49 50 51 52 53 lx Age (x) 54 55 56 57 58 64028 62792 61982 61055 59755 59400 59061 59 60 lx 58667 57908 57128 56038 55658 54953 54839 Compute the expected present value of this life annuity-due if it is purchased by an annuitant aged 50 using an effective annual interest rate i = 0.052:

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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A company offers a life annuity-due which makes the following annual payments:
• $2000 at ages 40 to 47;
• $3850 at ages 48 to 53;
• $5450 at ages 54 to 60.
Consider the following life table:
Age (x)
Age (x)
Age (x)
40
70136
47
64028
54
58667
41
69356
48
62792
55
57908
42
68954
49
61982
56
57128
43
67268
50
61055
57
56038
44
66088
51
59755
58
55658
45
65733
52
59400
59
54953
46
64748
53
59061
60
54839
Compute the expected present value of this life annuity-due if it is purchased by an annuitant aged 50 using an effective annual interest rate i = 0.052:
Transcribed Image Text:A company offers a life annuity-due which makes the following annual payments: • $2000 at ages 40 to 47; • $3850 at ages 48 to 53; • $5450 at ages 54 to 60. Consider the following life table: Age (x) Age (x) Age (x) 40 70136 47 64028 54 58667 41 69356 48 62792 55 57908 42 68954 49 61982 56 57128 43 67268 50 61055 57 56038 44 66088 51 59755 58 55658 45 65733 52 59400 59 54953 46 64748 53 59061 60 54839 Compute the expected present value of this life annuity-due if it is purchased by an annuitant aged 50 using an effective annual interest rate i = 0.052:
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