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Question 5 . An insurance company is offering a new policy to its customers. Typically, the policy is bought by a parent or grandparent for

Question 5. 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

$700

Second birthday

$780

Third birthday

$850

Fourth birthday

$850

Fifth birthday

$900

Sixth birthday

$950

Seventh birthday

$1,000

After the child's seventh birthday, no more payments are made. When the child reaches age 60, he or she receives $160,000. If the relevant interest rate is 9.2 percent for the first seventh years and 5.2 percent for all subsequent years, is the policy worth buying?

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