All financials below are in $ mn.
Current assets as % of sale = 4.7 / 14.8 = 31.76%
Accounts payables as % of sale = 1.5 / 14.8 = 10.14%
Please see the table below. In the last column i have explained how each value has been calculated.
Sales next year = S = 19.7
Addition to retained earnings = S x Profit margin - dividend payout = 19.7 x 4.7% - 0.460 = 0.4659.
While entering the figures, please round off the balance sheet figures to the nearest dollar.
Parameter | Next year | % of sales | How it has been calculated? |
Current Assets | 6.26 | 31.76% | =19.7 x 31.76% |
Net fixed assets | 4.90 | = last year's value of 4.8 + 0.103 | |
Total Assets | 11.16 | Sum of above two items | |
Accounts Payable | 2.00 | 10.14% | =19.7 x 10.14% |
Long term debt | 1.70 | Same as last year | |
Total Liabilities | 3.70 | Sum of above two items | |
Paid in capital | 2.70 | Same as last year = 6.6 - 3.9 | |
Retained earnings | 4.37 | Last year's balance, 3.9 + addition to retained earnings calculated above, 0.4659 | |
Common equity | 7.07 | Sum of above two items | |
Total Liabilities & Equity | 10.76 | Total liabilities + Common equity |
Part (a)
Total assets = 11.16
Part (b)
Discretionary financing needs = Total assets - total liabilities & equity without additional funding = 11.16 - 10.76 = 0.40 = $ 0.40 mn
Part (c)
If g is the growth rate then :
Current asset last year x g + Increase in net fixed assets = Accounts payables last year x g + S0 x (1 + g) x Profit margin - Dividend payout
Or, 4.7 x g + 0.103 = 1.5 x g + 14.8 x (1 + g) x 4.7% - 0.460
4.7g + 0.103 = 1.5g + 0.2356 + 0.6956g
Hence, g = (0.2356 - 0.103) / (4.7 - 1.5 - 0.6956) = 0.0529 = 5.29%
Hence, largest increase in sale = g = 5.29% = 5.29% x 14.8 = 0.7836 = $ 0.7836 mn
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