A firm wishes to maintain a growth rate of 8 percent and a dividend payout ratio of 62 percent. The ratio of total assets to sales is constant at 1, and the profit margin is 10 percent. What must the debt-equity ratio be if the firm wishes to keep that ratio constant?
Retention ratio = 1 - 0.62 = 0.38
Sustainable growth rate = 0.08 = (ROE × 0.38)/[1 - (ROE × 0.38)]; ROE = 0.1949 Return on equity = 0.1949 = 0.10 × (1/1) × (1 + D/E); D/E = 0.95 |
95.
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A firm wishes to maintain an internal growth rate of 11 percent and a dividend payout ratio of 24 percent. The current profit margin is 7 percent and the firm uses no external financing sources. What must the total asset turnover rate be?
Retention ratio = 1 - 0.24 = 0.76
Internal growth rate = 0.11 = (ROA × 0.76)/[1 - (ROA × 0.76)]; ROA = 0.1304 Return on assets = 0.1304 = 0.07 × TAT; Total asset turnover = 1.86 times |
96.
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Total debt ratio = 0.66 = TD/TA
TA/TD = 1/0.66 1 + TD/TE = 1/0.66 D/E = 1/[(1/0.66) - 1] = 1.941176 Return on equity = 0.056 × 1.76 × (1 + 1.941176) = 0.289882 Retention ratio = 1 - 0.7 = 0.3 Sustainable growth rate = (0.289882 × 0.3)/[1 - (0.289882 × 0.3)] = 9.52 percent |
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