A company is considering a long term investment that requires a $$900$ investment today, and then in $3$ years promises a payout of $$864$ with prob. $0\mathrm{.}4$ and a payout of $$1,440$ with prob. $0\mathrm{.}6.$ If the opportunity cost of capital for the company is $5\%,$ what is the expected net present value?

$134\mathrm{.}4$

$144\mathrm{.}9$

$154\mathrm{.}1$

$164\mathrm{.}2$