A project that costs $$160$ million is expected to produce $$80$ million in year $1,$ $$100$ million in year $2,$ and $$90$ million in year $3.$ The project's cost of capital is $5\%.$

$1)$ Find the payback period. $(5$pts$)$

$2)$ Find the NPV$.(5$pts$)$

$3)$ Find the IRR. $(5$pts$)$

$4)$ Find the MIRR. $(10$pts$)$