The machine was originally purchased ten years ago at a cost of $$50,000$ and has been depreciated to a book value of zero. If Pioneer replaces the machine, it will be able to bid on larger projects that require the capabilities of the new machine. The new machine will cost the firm $$70,000,$ which will be depreciated over $5$ years according to the following depreciation rates: $25\%$ in years $1$ and $2,20\%$ in year $3,$ and $15\%$ in each of years $4$ and $5.$ The new machine qualifies for an immediate $2\%$ investment tax credit. Pioneer anticipates that at the end of the machine$$s eight year economic life it will be sold for $$8,000.$ Pioneer estimates that its existing machine can be sold today for $$4,000.$ If Pioneer does not replace the machine, it anticipates being able to use the existing machine for eight more years at which time its salvage value would be zero. Without the purchase of the new machine, Pioneer expects to generate revenue of $$210,000$ per year.

The firm$$s use of its existing machine is expected to generate operating expenses of $$120,000$ per year. If the new machine is purchased, Pioneer expects the firm$$s annual revenues and operating costs to increase to $$250,000$ and $$140,000$ respectively. To support the increase in revenues, a net working capital investment of $$8,500$ will be required. Pioneer$$s marginal tax rate is $25\%.$ If EBT is negative in any year, assume that the firm has positive EBT values in other divisions and that the EBT loss can be applied to those. This would result in a tax savings in each year when EBT is negative for this project. To finance this project, Pioneer will raise $30\%$ of the capital from debt and $70\%$ of the capital from equity; its after$-$tax cost of debt is $8\%$ and the cost of equity is $18\%.$This results in a cost of capital of $15\%.$

Calculate the NPV for this project.

Calculate the IRR for this project; you should use Excel to do this. Calculate the IRR to $2$ decimals; for example, $25\mathrm{.}63\%.$