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4. a. Proportion ofDebt:EQ Cost of Capital 0.00:1.0 ka = 12.0% 0.10:0.90 ka = (0

ID: 2661457 • Letter: 4

Question

4. a.          Proportion ofDebt:EQ             Cost of Capital               0.00:1.0                ka = 12.0%               0.10:0.90               ka = (0.10)(4.7%) + 0.90(12.1%) = ??.?%               0.20:0.80               ka = (0.20)(4.9%) + (0.80)(12.5%) = ??.?%               0.30:0.70               ka = (0.30)(5.1%) + (0.70)(13.0%) = ??.?%               0.40:0.60               ka = (0.40)(5.5%) + (0.60)(13.9%) = ??.?%               0.50:0.50               ka = (0.50)(6.1%) + (0.50)(15.0%) = ??.?%               0.60:0.40               ka = (0.60)(7.5%) + (0.40)(17.0%) = ??.?%     Thusly, the ideal capital structure isapproximately ??% debt and ??%equity.     b. 30% debt and 70% equity: ka =??.??%          Optimal: ka =??.??%         Difference: 0.??% 4. a.          Proportion ofDebt:EQ             Cost of Capital               0.00:1.0                ka = 12.0%               0.10:0.90               ka = (0.10)(4.7%) + 0.90(12.1%) = ??.?%               0.20:0.80               ka = (0.20)(4.9%) + (0.80)(12.5%) = ??.?%               0.30:0.70               ka = (0.30)(5.1%) + (0.70)(13.0%) = ??.?%               0.40:0.60               ka = (0.40)(5.5%) + (0.60)(13.9%) = ??.?%               0.50:0.50               ka = (0.50)(6.1%) + (0.50)(15.0%) = ??.?%               0.60:0.40               ka = (0.60)(7.5%) + (0.40)(17.0%) = ??.?%     Thusly, the ideal capital structure isapproximately ??% debt and ??%equity.     b. 30% debt and 70% equity: ka =??.??%          Optimal: ka =??.??%         Difference: 0.??%

Explanation / Answer

4. a.          Proportion ofDebt:EQ             Cost of Capital               0.00:1.0                 ka = 12.0%               0.10:0.90               ka = (0.10)(4.7%) + (0.90)(12.1%) = 11.36%               0.20:0.80               ka = (0.20)(4.9%) + (0.80)(12.5%) = 10.98%               0.30:0.70               ka = (0.30)(5.1%) + (0.70)(13.0%) = 10.63%               0.40:0.60               ka = (0.40)(5.5%) + (0.60)(13.9%) = 10.54%               0.50:0.50               ka = (0.50)(6.1%) + (0.50)(15.0%) = 10.55%               0.60:0.40               ka = (0.60)(7.5%) + (0.40)(17.0%) = 11.30%     Thusly, the ideal capital structure isapproximately 40% debt and 60% equity.     b. 30% debt and 70% equity: ka = 10.63%          Optimal: ka =10.54%          Difference: 0.09%

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