3. 5.3 A theft-avoidance locking system has a first cost of $10,000, an AOC of $7000, and no salvage value after its 3-year life. Assume that you were told the service provided by this asset would be needed for only 5 years. This means that the asset will have to be repurchased and kept for only 2 years. What would its market value, call it M, have to be after 2 years in order to make its annual worth the same as it is for its 3-year life cycle at an interest rate of 10% per year? Determine the market value M using

(a) factors, and

(b) a spreadsheet with PMT functions and GOAL SEEK.