A lottery offers two options for a prize, A and B, as shown below. Option A :
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Question:
A lottery offers two options for a prize, A and B, as shown below.
Option A: $1,000 a week for life.
Option B: $1,000,000 in one lump sum.If you choose Option B, you have the opportunity to place the winnings into an investment that also makes regular payments, at a rate of 3%/a, compounded weekly. The annuity will pay out a specific amount weekly based on how long you want the annuity to last.
- Which option would the winner choose if you expect to live for another:
- 20 years?
- 50 years?
- Use technology to determine the range of life expectancies when each option is preferred. Show your work.
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