You are 35 years old. You have been offered the following annuity plan with the first payment starting at age 40.
- A yearly income of $200 for the next 5 years
- A final lump sum payment of $10,000 on the final payment
If interest rates today remains at 5% for the next 5 years, and then 6% for all remaining years, what is the fair price of this annuity plan?
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