In: Finance
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: $ 760 Second birthday: $ 760 Third birthday: $ 860 Fourth birthday: $ 860 Fifth birthday: $ 960 Sixth birthday: $ 960 After the child’s sixth birthday, no more payments are made. When the child reaches age 65, he or she receives $360,000.
If the relevant interest rate is 12 percent for the first six years and 7 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.)
Child's 65th birthday $
Value of policy at 65th birthday =
$371,370.34 |
Year | Contribution | FV at 6th birthday |
1 | 760 | $1,339.38 |
2 | 760 | $1,195.87 |
3 | 860 | $1,208.24 |
4 | 860 | $1,078.78 |
5 | 960 | $1,075.20 |
6 | 960 | $960.00 |
Total | $6,857.48 | |
FV at age 65 | $371,370.34 |