Your company is planning to open a new gold mine that will cost $$3$ million to build, with the expenditure occurring at the end of the year three years from today. The mine will bring year$-$end after$-$tax cash inflows of $$2$ million at the end of the two succeeding years, and then it will cost $$0\mathrm{.}5$ million to close down the mine at the end of the third year of operation, and the firm's cost of capital $($i$.$e$.,$ the required annual return$)$ is $10$ percent. What is the NPV for this project?

$NPV=$

$$71,688$

$$68,023$

$$108,023$

$$95,417$

$$500,000$