Solution :
Market value of equity (E)= value per share * No.of shares
= $ 19 * 1.6mn
= $ 30.4mn
Market value of debt (D)=$ 12mn * 92%
= $ 11.04 mn
Total market value of debt & equity (V)
=$ 11.04mn +$ 30.4mn
= $ 41.44mn
Cost of debt i.e YTM (Kd) = 9%
Cost of equity (Ke) = 12%
Tax rate(t) = 0.39
So,
WACC = (Ke * E/V) + [Kd*(1-t)* D/V]
= (0.12 * 30.4/41.44) + [0.09* (1-0.39)* 11.04/41.44]
= (0.12* 0.7336) + (0.09 * 0.61 * 0.2664)
= 0.0880 + 0.0146
=0.1026 i.e 10.26%
Or
If we calculate WACC using Book value weights then,
WACC= (Ke * BV of equity/BV of equity & debt) +
[Kd * (1-t) * BV of debt/BV of equity & debt]
= (0.12 * 15/27) + [(0.09 * (1-0.39) * 12/27]
=(0.12 * 0.5555) + (0.0549 * 0.4444)
= 0.0666 + 0.0243
= 0.0909 i.e 9.09%
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