Sora Industries has $60$ million outstanding shares, $$120$ million in debt, $$40$ million in cash, and the following projected free cash flow for the next four years. $($Click the icon to view the data table.$)$

a$.$ Suppose Sora's revenue and free cash flow are expected to grow at a $5\mathrm{.}0\%$ rate beyond year $4.$ If Sora's weighted average cost of capital is $10\mathrm{.}0\%$ what is the value of Sora's stock based on this information?

b$.$ Sora'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'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'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's free cash flow in year $1.)$