Consider two people age 40. What is the expected number of years that both are alive? What is the expected number of years that at least one is alive? Show your work in excel to solve the following: What is the actuarial present value of a pension that pays $50,000 per year as long as at least one of the two 40-year-old people survive? Use a 5% discount rate. [Remember actuarial present value means that you must discount in the usual way to get present value, but you also must weight (i.e., multiply) every yearly payment by the probability that at least one of the two 40-year-old people is alive in order to receive the $50,000 payment.]
Consider two people age 40. What is the expected number of years that both are alive? What is the expected number of years that at least one is alive? Show your work in excel to solve the following: What is the actuarial present value of a pension that pays $50,000 per year as long as at least one of the two 40-year-old people survive? Use a 5% discount rate. [Remember actuarial present value means that you must discount in the usual way to get present value, but you also must weight (i.e., multiply) every yearly payment by the probability that at least one of the two 40-year-old people is alive in order to receive the $50,000 payment.]
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Consider two people age 40.
- What is the expected number of years that both are alive?
- What is the expected number of years that at least one is alive?
- Show your work in excel to solve the following: What is the actuarial present value of a pension that pays $50,000 per year as long as at least one of the two 40-year-old people survive? Use a 5% discount rate. [Remember actuarial present value means that you must discount in the usual way to get present value, but you also must weight (i.e., multiply) every yearly payment by the probability that at least one of the two 40-year-old people is alive in order to receive the $50,000 payment.]
![A
1 A
23456
2 Age
0
1
2
3
7
4
8 5
9 6
10 7
11 8
12 9
13 10
14 11
15 12
16 13
17 14
18 15
19 16
20 17
21 18
22 19
23 20
24 21
25 22
26 23
27 24
28 25
29
B
B
# of Survivors
100000
99249
99193
99155
99126
99102
99083
99066
99051
99035
99019
99001
98983
98963
98938
98906
98860
98791
98700
98580
98444
98311
98163
98023
97888
97752
D
A B
Age # of Survivors
26
97624
27
97489
28
97359
29
97224
30
97092
31
96954
96818
32
33 96677
34
96522
35
96359
36
96180
37
95997
38 95791
39
95569
40
95337
41
95087
42
94825
43
94542
44
94229
45
93892
46
93529
47
93142
48
92713
49
92254
50
91768
51
91247
E
F
G
A
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
B #
74 75 76 77
В
Age # of Survivors
52
53
H
90707
90127
89527
88839
88161
87382
86542
85600
84654
83582
82458
81231
79920
78506
76988
75391
73665
71830
69875
67824
65652
63335
60880
58335
55655
52874
J
K
A
B
Age # of Survivors
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
50001
47012
43928
40856
37568
34457
31192
27975
24820
21766
18852
16113
13580
11277
9218
7412
5857
4546
3462
2586
1893
1357
953
600
400
200
L
M
A B
Age # of Survivors
104
105
106
107
108
109
110
111
N
B #
100
50
30
15
7
3
1
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fb69d79-3cfd-4273-ad7c-eba8454eb709%2F39f12eb3-a6f6-4119-9328-d903c19256f7%2F2kc3aqh_processed.png&w=3840&q=75)
Transcribed Image Text:A
1 A
23456
2 Age
0
1
2
3
7
4
8 5
9 6
10 7
11 8
12 9
13 10
14 11
15 12
16 13
17 14
18 15
19 16
20 17
21 18
22 19
23 20
24 21
25 22
26 23
27 24
28 25
29
B
B
# of Survivors
100000
99249
99193
99155
99126
99102
99083
99066
99051
99035
99019
99001
98983
98963
98938
98906
98860
98791
98700
98580
98444
98311
98163
98023
97888
97752
D
A B
Age # of Survivors
26
97624
27
97489
28
97359
29
97224
30
97092
31
96954
96818
32
33 96677
34
96522
35
96359
36
96180
37
95997
38 95791
39
95569
40
95337
41
95087
42
94825
43
94542
44
94229
45
93892
46
93529
47
93142
48
92713
49
92254
50
91768
51
91247
E
F
G
A
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
B #
74 75 76 77
В
Age # of Survivors
52
53
H
90707
90127
89527
88839
88161
87382
86542
85600
84654
83582
82458
81231
79920
78506
76988
75391
73665
71830
69875
67824
65652
63335
60880
58335
55655
52874
J
K
A
B
Age # of Survivors
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
50001
47012
43928
40856
37568
34457
31192
27975
24820
21766
18852
16113
13580
11277
9218
7412
5857
4546
3462
2586
1893
1357
953
600
400
200
L
M
A B
Age # of Survivors
104
105
106
107
108
109
110
111
N
B #
100
50
30
15
7
3
1
0
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