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An insurance company is offering a new policy to its customers. Typically, the policy is bought by a parent or grandparent for a child at

An insurance company is offering a new policy to its customers. Typically, the policy is bought by a parent or grandparent for a child at the childs birth. The purchaser (say, the parent) makes the following six payments to the insurance company:

First birthday: $ 800
Second birthday: $ 800
Third birthday: $ 900
Fourth birthday: $ 900
Fifth birthday: $ 1,000
Sixth birthday: $ 1,000

After the child's sixth birthday, no more payments are made. When the child reaches age 65, he or she receives $350,000. The relevant interest rate is 10 percent for the first six years and 7 percent for all subsequent years. Calculate the future value of the payments at the child's 65th birthday. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

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