A company is thinking about marketing a new product. Up$-$front costs to market and develop the product are $$10\mathrm{.}50$ Million. The product is expected to generate profits of $$1\mathrm{.}91$ million per year for $29$ years. The company will have to provide product support expected to cost $$264507$ per year in perpetuity. Furthermore, the company expects to invest $$48523$ per year for $14$ years for renovations on the product. This investing would start at the end of year $7.$ Assume all profits and expenses occur at the end of the year. Calculate the NPV of this project if the interest rate is $6\mathrm{.}61\%.$