Bond 1:
Coupon = 0.07 * 65,000,000 = 4,550,000 / 2 = 2,275,000
Price = 0.98 * 65,000,000 = 63,700,000
Number of periods = 22 * 2 = 44
Yield to maturity = 7.1822%
Keys to use in a financial calculator: 2nd I/Y 2, FV 65,000,000, PV -63,700,000, PMT 2,275,000, N 44, CPT I/Y
Bond 2:
Coupon = 0.08 * 35,000,000 = 2,800,000 / 2 = 1,400,000
Price = 1.06 * 35,000,000 = 37,100,000
Number of periods = 5 * 2 = 10
Yield to maturity = 6.5726%
Keys to use in a financial calculator: 2nd I/Y 2, FV 35,000,000, PV -37,100,000, PMT 1,400,000, N 10, CPT I/Y
Total market value of bonds = 63,700,000 + 37,100,000 = 100,800,000
Weight of bond 1 = 63,700,000 / 100,800,000 = 0.6319
Weight of bond 2 = 37,100,000 / 100,800,000 = 0.3681
Weighted average cost of debt = 0.6319*0.071822 + 0.3681*0.065726
Weighted average cost of debt = 0.045384 + 0.024194
Weighted average cost of debt = 0.069578 or 6.9578%
Cost of equity = ( D1 / share price) + growth rate
Cost of equity = [(5 * 1.08) / 78] + 0.08
Cost of equity = 0.1492 or 14.92%
Market value of equity = 6,000,000 * 78 = 468,000,000
Total market value = 468,000,000 + 100,800,000 = 568,800,000
Weight of equity = 468,000,000 / 568,800,000 = 0.8228
Weight of debt = 100,800,000 / 568,800,000 = 0.1772
WACC = Weight of debt*after tax cost of debt + weight of equity*cost of equity
WACC = 0.1772*0.069578*(1 - 0.3) + 0.8228*0.1492
WACC = 0.00863 + 0.12276
WACC = 0.1314 or 13.14%
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