As a factory manager, you are debating on replacing an old piece of equipment. If you do$,$ you expect the replacement equipment to cost $14395\mathrm{.}56$$ but also believe you can sell the old equipment for $1904$$$.$ The new equipment is incrementally more productive than the old equipment but as it is used, it will lose this benefit. You estimate that at the end of the first complete year of operation, the new equipment will add $1578$$ to firm revenues but that this will decline at a rate of $2\mathrm{.}7\%$ per year. Finally, you believe that the terms of financing offered by the manufacturer of the equipment at $10\%$ per year to be fair and an accurate cost of capital for this type of project. What is the estimated net present value $($NPV$)$ of pursuing this project?