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Return on Equity Problems

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Submitted By nivik
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ROE-DUPONT

1. It is important to remember that equity will not increase by the same percentage as the other assets. If every other item on the income statement and balance sheet increases by 10 percent, the pro forma income statement and balance sheet will look like this:

Pro forma income statement Pro forma balance sheet

Sales $ 17,600 Assets $ 9,790 Debt $ 5,610 Costs 13,750 Equity 4,180 Net income $ 3,850 Total $ 9,790 Total $ 9,790

In order for the balance sheet to balance, equity must be:

Equity = Total liabilities and Equity – Debt Equity = $9,790 – 5,610 Equity = $4,180

Equity increased by:

Equity increase = $4,180 – 3,800 Equity increase = $380

Net income is $3,850 but equity only increased by $380. Thus, a dividend of $3,850 – $380 or $3470 must have been paid. Dividends is the plug variable.

2. Here we are given the dividend amount, so dividends is not a plug variable. If the company pays out one-half of its net income as dividends, the pro forma income statement and balance sheet will look like this:

Pro forma income statement Pro forma balance sheet

Sales $ 17,600 Assets $ 9,790 Debt $ 5,100 Costs 13,750 Equity 5,725 Net income $ 3,850 Total $ 9,790 Total $ 10,825

Dividends $ 1,925 Add. to RE 1,925

Note that the balance sheet does not balance. This is due to EFN which is:

EFN = Total assets – Total liabilities and equity EFN = $9,790 – 10,825 EFN = –$1,035

3. An increase of sales to $5,192 is an increase of:

Sales increase = ($5,192 – $4,400) / $4,400 Sales increase = .18 or 18%

Assuming costs and assets increase proportionally, the pro forma financial statements will look like this:

Pro forma income statement Pro forma balance sheet

Sales $ 5,192 Assets $ 15,812 Debt $ 9,100 Costs 3,168 Equity

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