SOLUTION: Solve for future value or present value. The owner of Waverly Sheet Metal Company plans to buy some new machinery in 6 years. He estimates that the machines he wishes to purchase

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Question 1023849: Solve for future value or present value.
The owner of Waverly Sheet Metal Company plans to buy some new machinery in 6 years. He estimates that the machines he wishes to purchase will cost $39,700 at that time. What must he invest today at 8%, compounded semiannually, to have sufficient money to purchase the new machines?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Use the compound balance formula to find the present value of the investment.
A+=+P%281%2Br%2Fn%29%5E%28nt%29
==>39700+=+P%281%2B0.08%2F2%29%5E%282%2A6%29+=+P%2A1.04%5E12
==> P+=+39700%2F1.04%5E12 = $24,796.50, the amount that has to be invested today.