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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

 

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 details of the policy are as follows: The purchaser (say, the parent) makes the following six payments to the insurance company: First birthday: $ 820 Second birthday: $ 820 Third birthday: $ 920 $ 920 Fourth birthday: Fifth birthday: Sixth birthday: $ 1,020 $ 1,020 After the child's sixth birthday, no more payments are made. When the child reaches age 65, he or she receives $115,000. If the relevant interest rate is 9 percent for the first six years and 5 percent for all subsequent years, what is the value of the policy at the child's 65th birthday? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. Child's 65th birthday $

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