Last year Ann Arbor Corp had $250,000 of assets (which equals total invested capital), $305,000 of sales, $20,000 of net income, and a debt-to-total-capital ratio of 37.5%. The new CFO believes that a new computer program will enable the company to reduce costs and thus raise net income to $33,000. The firm finances using only debt and common equity. Assets, total invested capital, sales, and the debt to capital ratio would not be affected. By how much would the cost reduction improve the ROE

8.32%

Explanation:

The computation of  cost reduction improve the ROE is shown below:-

For computing the increase in ROE first we need to follow some steps which is here below:-

Debt = capital × Debt

= $250,000 × 37.5%

= $93,750

Equity = Assets - Debt

= $250,000 - $93,750

= $156,250

New ROE = New Net income ÷ Equity

= $33,000 ÷ $156,250

= 21.12%

Old ROE = Old Net income ÷ Equity

= $20,000 ÷ $156,250

= 12.8%

Increase in ROE = New ROE- Old ROE

= 21.12% - 12.8%

= 8.32%

of the three mortgage options that demarco and tanya have to choose from, the balloon payment mortgage would be their best option, over adjustable payment and fixed payment plans.ultimately, the balloon payment plan would save demarco and tanya overall, in interest, would cost less monthly, and they would only have to make these payments for 8 years, opposing to 30 years for adjustable or fixed payment plans. 

overall, demarco and tanya would save $80,811 if they chose balloon payments over fixed payments, and would save $116,711 if they choose balloon payments over adjustable payments. benefits with choosing fixed payments over adjustable payments is that, in the end, the payments will still be $836.30 a month, while with adjustable payments, the initial monthly payments will be $763.38 to $1082.70 a month, ultimately leading to a more costly purchase. benefits with choosing fixed payments over balloon payments are not present. benefits in choosing adjustable payments over is that it has a lower interest rate, and starts with lower monthly payments initially. benefits in choosing adjustable payments over balloon payments include a lower interest rate, and lower initial monthly payments. benefits in choosing balloon payments over fixed payments include lower interest rates, lower overall price, lower monthly payments, takes less time to pay off, and does not require a downpayment. benefits in choosing balloon payments over adjustable payments include, lower monthly payments (when averaged), takes less time to pay off, and lower overall price.

hence, option c, balloon payments, is the best option for demarco and tanya to make this purchase, for it will save them a minimum of $80811, and a maximum of $116,711.