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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 $ 830
Second birthday 830
Third birthday 930
Fourth birthday 850
Fifth birthday 1,030
Sixth birthday 950

After the childs sixth birthday, no more payments are made. When the child reaches age 65, he or she receives $330,000. If the relevant interest rate is 10 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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