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r 2. A company wishes to fund a major project. it will raise 20 million as follows 4 million is bank loan, 6 million in retai
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Answer #1

Weighted average cost of capital is the average cost of Debt and Equity capital of the company.

Formula for weighted average cost of capital = (Weight of equity * Total cost equity) + ( Weight of debt * Total cost of debt)

Retained earning is part of the equity hence total cost of equity is equal to total cost of retained earning.

In the given question:

Total fund raised = 20 million

Bank loan = 4 million

Retained earnings = 6 million

Common stock ( Equity) = 3 million

Bond = 7 million

Bank loan = 12% p.a. ( Compounded monthly )

Share price = 16 and EPS is 35%

Bond yield = 4% p.a. ( Compounded quarterly )

Cost of equity = (Earnings per share / Share price ) = (16 * 35%) / 16 = 35%

Cost of debt is always consider after tax.

Cost of Bank loan ( consider with the annual percentage) = 12%

Effective rate of bank loan = ( 1 + 0.12/12)12 -1) = 12.68%  

Cost of Bond = 4%

Effective rate of Bond = ( 1 +0.04/4)4 - 1 ) = 4.06%

Weighted average cost of capital =

= (Weight of equity * Cost of equity) + ( Weight of Bond * Cost of bond ) + ( Weight of Loan * Cost of bank loan) + ( Weight of retained earning * Cost of retained earning )

= ( 3/20 * 35%) + ( 7/20 * 4.06%) + ( 4/20 * 12.68%) + ( 6/20 * 35%)

= 19.707%

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