Karen is now age 70 (at time 0).
For the following questions, you should use the following Life Table and 5% p.a. interest. You may assume that all deaths are independent events.
Age x | lx |
70 | 150 |
71 | 140 |
72 | 125 |
73 | 105 |
74 | 80 |
75 | 50 |
76 | 40 |
77 | 30 |
78 | 20 |
79 | 10 |
80 | 0 |
If she lives until age 73, she will be entitled to receive a
lifetime pension of $25,000 per annum. The first payment will be
made on her 73rd birthday (if she is alive at that time); and she
will receive payments annually on each subsequent birthday, as long
as she is alive at that time.
What is the present value (at time 0) of Karen's expected payments?
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