# Answer to Question #11895 in Other Management for D arthur

Question #11895

Muscarella Inc. has the following balance sheet and income statement data:

Cash $ 14,000 Accounts payable $ 42,000

Receivables 70,000 Other current liabilities 28,000

Inventories 210,000 Total CL $ 70,000

Total CA $294,000 Long-term debt 70,000

Net fixed assets 126,000 Common equity 280,000

Total assets $420,000 Total liab. and equity $420,000

Sales $280,000

Net income $ 21,000

The new CFO thinks that inventories are excessive and could be lowered sufficiently to cause the current ratio to equal the industry average, 2.70, without affecting either sales or net income. Assuming that inventories are sold off and not replaced to get the current ratio to the target level, and that the funds generated are used to buy back common stock at book value, by how much would the ROE change?

Cash $ 14,000 Accounts payable $ 42,000

Receivables 70,000 Other current liabilities 28,000

Inventories 210,000 Total CL $ 70,000

Total CA $294,000 Long-term debt 70,000

Net fixed assets 126,000 Common equity 280,000

Total assets $420,000 Total liab. and equity $420,000

Sales $280,000

Net income $ 21,000

The new CFO thinks that inventories are excessive and could be lowered sufficiently to cause the current ratio to equal the industry average, 2.70, without affecting either sales or net income. Assuming that inventories are sold off and not replaced to get the current ratio to the target level, and that the funds generated are used to buy back common stock at book value, by how much would the ROE change?

Expert's answer

We can use the next formula:

Current ratio= Current assets/ Current Liabilities

ROE = Net Income / Shareholder’s Equity

ΔROE = ROE

So

ROE =

Inv at target CR = 105 000 $

We have decreasing in common equity and inventory, it is 105 000$

So the new common equity will be 175 000$

ROE2 = 0,12 or 12%

ΔROE = 12% - 7,5% = 4,5%

Current ratio= Current assets/ Current Liabilities

ROE = Net Income / Shareholder’s Equity

ΔROE = ROE

_{2}- ROE_{1}So

ROE =

_{ }21000/280_{ }000 = 0,075 or 7,5%Inv at target CR = 105 000 $

We have decreasing in common equity and inventory, it is 105 000$

So the new common equity will be 175 000$

ROE2 = 0,12 or 12%

ΔROE = 12% - 7,5% = 4,5%

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