Sora Industries has $63$ million outstanding$$ shares, $$$$128$ million in$$ debt, $$$$4242$ million in$$ cash, and the following projected free cash flow for the next four$$ years:

a$.$ Suppose Sora$\text{'}$s revenue and free cash flow are expected to grow at a $4\mathrm{.}9\%$ rate beyond year $4.$ If Sora$\text{'}$s weighted average cost of capital is $9\mathrm{.}0\%,$ what is the value of SoraSora$\text{'}$s stock based on this$$ information?

b$.$ Sora$\text{'}$s cost of goods sold was assumed to be$67\%$ of sales. If its cost of goods sold is actually$70\%$ of$$ sales, how would the estimate of the$$ stock's value$$ change?

c$.$Let$\text{'}$s return to the assumptions of part $($a$)$ and suppose Sora can maintain its cost of goods sold at$67\%$ of sales.$$ However, now suppose Sora reduces its$$ selling, general, and administrative expenses from$20\%$ of sales to$16\%$ of sales. What stock price would you estimate$$ now? $($Assume no other$$ expenses, except$$ taxes, are$$ affected.$)$

d$.$ Sora$\text{'}$s net working capital needs were estimated to be$18\%$ of sales$($which is their current level in year$0).$ If Sora can reduce this requirement to$12\%$ of sales starting in year$1,$ but all other assumptions remain as in part $($a$),$ what stock price do you estimate for Sora$?($Hint$$: This change will have the largest impact on Sora$\text{'}$s free cash flow in year$1.)$

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