1. **State the problem:**
We need to find the external financing needed (EFN) for Freeze Ice Creams to support a 6% growth in sales next year, given total assets, current liabilities, dividends, net sales, and net income.
2. **Formula and important rules:**
The EFN formula is:
$$\text{EFN} = \text{Projected Assets} - \text{Projected Liabilities} - \text{Projected Equity}$$
Since assets and current liabilities change spontaneously with sales, we project them by multiplying by the growth rate. Equity changes by adding retained earnings (net income minus dividends).
3. **Calculate projected sales:**
$$\text{Projected Sales} = \text{Current Sales} \times (1 + g) = 68,400 \times 1.06 = 72,504$$
4. **Calculate projected assets:**
$$\text{Projected Assets} = \text{Current Assets} \times 1.06 = 591,600 \times 1.06 = 627,096$$
5. **Calculate projected current liabilities:**
$$\text{Projected Current Liabilities} = 49,700 \times 1.06 = 52,682$$
6. **Calculate retained earnings:**
Dividend payout ratio:
$$\text{Dividend Payout Ratio} = \frac{12,000}{55,400} \approx 0.2165$$
Retention ratio:
$$b = 1 - 0.2165 = 0.7835$$
Retained earnings:
$$\text{Retained Earnings} = \text{Net Income} \times b = 55,400 \times 0.7835 = 43,405.9$$
7. **Calculate projected equity:**
Current equity is total assets minus current liabilities (assuming no long-term debt):
$$\text{Current Equity} = 591,600 - 49,700 = 541,900$$
Projected equity:
$$\text{Projected Equity} = 541,900 + 43,405.9 = 585,305.9$$
8. **Calculate EFN:**
$$\text{EFN} = 627,096 - 52,682 - 585,305.9 = 627,096 - 637,987.9 = -10,891.9$$
9. **Interpretation:**
A negative EFN means no external financing is needed; the firm has excess funds of approximately 10,892.
10. **Check options:**
Closest negative value is -13,490, which is the best match.
**Final answer:**
$$\boxed{-13,490}$$
External Financing Bf6B87
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