Response to the following problem:
A firm is trying to determine whether to replace an existing asset. The proposed asset has a purchase price of $50,000 and has installation costs of $3,000. The asset will be depreciated over its five year life using the straight-line method. The new asset is expected to increase sales by $17,000 and non-depreciation expenses by $2,000 annually over the life of the asset. Due to the increase in sales, the firm expects an increase in working capital during the asset's life of $1,500, and the firm expects to be able to sell the asset for $6,000 at the end of its life. The existing asset was originally purchased three years ago for $25,000, has a remaining life of five years, and is being depreciated using the straight-line method. The expected salvage value at the end of the asset's life (i.e., five years from now) is $5,000; however, the current sale price of the existing asset is $20,000, and its current book value is $15,625. The firm's marginal tax rate is 34 percent and its required rate of return is 12 percent.
Please answer the following and show work.
1. What is the initial cost of project?
2. What are the free cash flows generated/year by the project?
3. What is the terminal cash flow?
4. What is the NPV?