$$Amarindo$,$ Inc.$($AMR$),$ is a newly public firm with $9\mathrm{.}5$ million shares outstanding. You are doing a valuation analysis of AMR. You estimate its free cash flow in the coming year to be $$$$15\mathrm{.}38$million$,$ and you expect the$$ firm's free cash flows to grow by $4\mathrm{.}4\%$ per year in subsequent years. Because the firm has only been listed on the stock exchange for a short$$ time, you do not have an accurate assessment of$$ AMR's equity beta.$$ However, you do have beta data for$$ UAL, another firm in the same$$ industry: LOADING.... AMR has a much lower$$ debt$-$equity ratio of $0\mathrm{.}36,$ which is expected to remain$$ stable, and its debt is risk free.$$ AMR's corporate tax rate is $20\%,$ the$$ risk$-$free rate is $5\mathrm{.}1\%,$ and the expected return on the market portfolio is $10\mathrm{.}6\%.$

a$.$ Estimate$$ AMR's equity cost of capital.

b$.$ Estimate$$ AMR's share price.