Fujita, Incorporated, has no debt outstanding and a total market value of $$332,100$ : Earnings before interest and taxes, EBIT, are projected to be $$48,000$ if economic conditions are normal. If there is strong expansion in the economy, then EBIT will be $18$ percent higher. If there is a recession, then EBIT will be $29$ percent lower. The company is considering a $$170,000$ debt issue with an interest rate of $7$ percent. The proceeds will be used to repurchase shares of stock. There are currently $8,100$ shares outstanding. Ignore taxes for questions $($a$)$ and $($b$).$ Assume the company has a market$-$to$-$book ratio of $1\mathrm{.}0$ and the stock price remains constant.

a$-1.$ Calculate return on equity, ROE, under each of the three economic scenarios before any debt is issued.

Note: Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ a$-2.$ Calculate the percentage changes in ROE when the economy expands or enters a recession.

Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$-1.$ Assume the firm goes through with the proposed recapitalization. Calculate the return on equity, ROE, under each of the three economic scenarios.

Note: Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ b$-2.$ Assume the firm goes through with the proposed recapitalization. Calculate the percentage changes in ROE when the economy expands or enters a recession.

Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$\backslash$table$[[$a$-1.$ Recession ROE,,$\%$