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13. External Funds Needed The Optical Scam Company has forecast a sales growth rate of 15 percent for next year. The current

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Answer #1
a) External funds required = [(Assets / Sales) x Δ sales] - [(Spontaneous liabilities / Sales) x Δ sales] - [(Projected sales x Profit margin) x (1-Dividend payout ratio)]
EFN = (24800000/25380000)*25380000*15%-(5200000/25380000)*25380000*15%-25380000*115%*8.8534%*(1-35%) = $      12,60,373
Workings:
Net profit margin = 2247000/25380000 = 8.8534%
Dividend payout ratio = 786450/2247000 = 35.00%
b) Next Year
Current Year Basis for projections Projections before raising AFN  
INCOME STATEMENT
Sales $ 2,53,80,000 +15% $     2,91,87,000
Less: Costs $ 2,16,35,000 85.24% of sales $     2,48,80,250
Taxable income $      37,45,000 $         43,06,750
Taxes at 40% $      14,98,000 $         17,22,700
Net income $      22,47,000 $         25,84,050
Dividends (35%) $        7,86,450 $           9,04,418
Addition to retained earnings $      14,60,550 $         16,79,633
BALANCE SHEET
Current assets $      72,00,000 $         82,80,000
Fixed assets-Net $ 1,76,00,000 $     2,02,40,000
Total assets $ 2,48,00,000 $     2,85,20,000
Short term debt $      52,00,000 $         59,80,000
Long term debt $      60,00,000 $         60,00,000
Common stock $      32,00,000 $         32,00,000
Retained earnings $ 1,04,00,000 +1679633 $     1,20,79,633
Total $ 2,48,00,000 $     2,72,59,633
EFN $         12,60,368
Marginal difference between [a] and [b] due to approximation in [a]
c) SGR = ROE*b/(1-ROE*b).
ROE = 2247000/13600000 = 16.52%
SGR = 0.1652*0.65/(1-0.1652*0.65) = 12.03%
d) Yes. By changing the dividend policy the firm can completely eliminate the need for external funds.
The projected retained earnings is $1679633, which is more than the EFN of $1260368.
Measures to meet growth objectives:
*Restrict dividend
*Increase profit margins
*Use assets more efficiently
*Use more debt
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