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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 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$950

Second birthday$950

Third birthday$1,050

Fourth birthday$850

Fifth birthday$1,150

Sixth birthday$950

After the child's sixth birthday, no more payments are made. When the child reaches age 65, he or she receives $450,000. If the relevant interest rate is 15 percent for the first six years and 7 percent for all subsequent years, what would the value of the deposits be when the policy matures?

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