You are considering replacing a machine in your factory. The current machine cost $$300,000$ six years ago. It is being depreciated for tax purposes on a straight$-$line basis over its ten year life. The old machine can be sold today for $$80,000$ or be worthless in four years. The new machine would cost $$400,000$ and it would depreciate straight line to zero over four years. If the new machine is purchased, it would be operated for four years and then sold for $$100,000.$ You are considering the new machine because it would result in labor savings of $$150,000$ per year. If you purchase the new machine, net working capital requirements will increase by $$30,000$ because of the need for additional spare parts. If your tax rate is $30\%$ and your cost of capital is $10\%$ per year, what is the net present value of purchasing the new machine, in thousands of dollars?

$$75$ thousand

$$90$ thousand

$$108$ thousand

$$130$ thousand

$$156$ thousand