Question: 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: | $ | 860 |
| Second birthday: | $ | 860 |
| Third birthday: | $ | 960 |
| Fourth birthday: | $ | 960 |
| Fifth birthday: | $ | 1,060 |
| Sixth birthday: | $ | 1,060 |
| After the childs sixth birthday, no more payments are made. When the child reaches age 65, he or she receives $120,000. |
| 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? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
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