a. First, we know that fixed assets will be increasing by $200,000 net
of depreciation in 2001, bringing fixed assets to $1 million.
Assuming that net working capital will equal 50% of fixed assets, net
working capital becomes $500,000. This leaves the firm with total
assets of $1,500,000.
For the balance sheet to balance, the sum of the total liabilities and
shareholders' equity must therefore equal $1,500,000. In order to
maintain a book debt ratio of 25% of total capital, debt must be
issued to increase the debt outstanding to $375,000 and equity must be
issued to increase the equity outstanding to $1,125,000.
Revenue is equal to 1.5 times the total assets, or $2,250,000.
Fixed costs remain the same.
Variable costs are 80% of revenue or $1,800,000.
Depreciation is 10% of net fixed assets at the start of the year, or $100,000.
Interest expense is 8% of the total outstanding debt, or $30,000.
Taxable income is calculated by subtracting fixed costs, variable
costs, depreciation, industries expense from revenue, yielding
$264,000.
Taxes are 40% of taxable income, or $105,600.
Net income equals taxable income less taxes, or $158,400.
Two thirds of net income are paid as dividends, equaling dividends of $105,600.
Remaining net income comprises retained earnings of $52,800.
b. If the balance sheet is to be balanced with debt with no change to
the amount of equity outstanding, then debt outstanding must be
increased to $600,000 so that it, when added to equity of $900,000,
equals the total assets of $1,500,000.
In this case, the debt ratio has increased to 40%, which is calculated
by dividing the debt outstanding by the total liabilities and
shareholders' equity of the firm. Interest expense would, of course,
rise, leading to a decrease in taxable income, taxes, net income,
dividends, and retained earnings.
Sincerely,
Wonko |