A piece of machinery may be acquired by making an immediate payment of $$250,000$ and payments of $$35,000$ and $$30,000$ one and three years from now respectively. Alternatively, the machine may be purchased by making monthly payments of $$5,000$ in advance $($beginning of month$)$ for five years. Find the NPV of the two alternatives. Which alternative is preferable if money is worth $8\mathrm{.}5\%$ compounded quarterly?