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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

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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 the child's birth. The purchaser (say, the parent) makes the following six payments to the insurance company: After the child's sixth birthday, no more payments are made. When the child reaches age 65 , he or she receives $410,000. The relevant interest rate is 13 percent for the first six years and 7 percent for all subsequent years. Find 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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