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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 details of the policy are as follows: 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 childs sixth birthday, no more payments are made. When the child reaches age 65, he or she receives $150,000. If the relevant interest rate is 10 percent for the first six years and 5.75 percent for all subsequent years, what is the value of the policy 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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