A corporation has $$500,000$ in bonds outstanding with a $5\%$ annual coupon rate, $15$ years to maturity, a $$1,000$ face value, and a $$890$ market price. The company's $5,000$ shares of common stock sell for $$20$ per share and have a beta of $2\mathrm{.}5.$ The risk$-$free rate is $4\%,$ and the market return is $12\%.$ The company has a $35\%$ tax rate. They are considering a project which will provide annual cash flows of $$2,500$ per year for $10$ years, costs $$20,000$ and requires working capital of $$3,000.$

a$.$ What is the NPV and IRR for this project? Based on your analysis, should the company accept the project?