Question

Karen is now age 70 (at time 0). For the following questions, you should use the...

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?

Answer:

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