You are evaluating a project with the following cash flows.

Year $0$ Year $1$ Year $2$ Year $3$

$-$$$5000$ $$3000$ $$1500$ $$1500$

The project is closely related to the core production of a firm and therefore its risk is directly linked to the risk of the firm as a whole. If the firm$$s is twice as risky as the market, the risk$-$free rate is $5\%,$ and the market excess return is $5\%.$ Obtain the NPV of this project. Show work and explain.