- 9 Marks
Question
b) Gbewaa Ghana Ltd has issued 10 million shares with a market value of GH¢5 per share. The equity beta of the company is 1.2. The current yield of short-term government debt is 14% per annum, and the equity risk premium is approximately 5% per annum. The debt finance of Gbewaa Ghana Ltd consists of bonds with a book value of GH¢10,000,000. These bonds pay interest at 18% per annum, and the par value and market value of each bond is GH¢100. The company’s tax rate is 25%.
Required:
Calculate Gbewaa Ghana Ltd’s Weighted Average Cost of Capital. (9 marks)
Answer
To calculate the Weighted Average Cost of Capital (WACC) for Gbewaa Ghana Ltd, we need to calculate the cost of equity, the after-tax cost of debt, and then combine these costs according to their respective weights in the company’s capital structure.
1. Cost of Equity (Re):
- The cost of equity can be calculated using the Capital Asset Pricing Model (CAPM):
Re = Rf + βe × (Rm−Rf)
Where:
- Rf = Risk-free rate (yield on government debt) = 14%
- βe = Equity beta = 1.2
- Rm − Rf = Equity risk premium = 5%
Re = 14% + 1.2 × 5% = 14% + 6% = 20
2. After-Tax Cost of Debt (Rd):
- The cost of debt is the interest rate on the company’s bonds, adjusted for taxes:
Rd = Interest Rate × (1−Tax Rate)
Where:
- Interest rate = 18%
- Tax rate = 25%
Rd= 18% × (1−0.25) = 18% × 0.75 = 13.5%
3. Market Value of Equity (E):
- The market value of equity (E) is calculated as:
E =Number of Shares × Market Price per Share
E = 10,000,000 × GH¢5 = GH¢50,000,000
4. Market Value of Debt (D):
- The market value of debt (D) is the par value of the bonds, which equals the book value in this case:
D = GH¢10,000,000
5. Calculation of WACC:

Where:
- EEE = Market value of equity = GH¢50,000,000
- DDD = Market value of debt = GH¢10,000,000
- Re = Cost of equity = 20%
- Rd = After-tax cost of debt = 13.5%
Final Answer:
Gbewaa Ghana Ltd’s Weighted Average Cost of Capital (WACC) is 18.92%.
- Tags: Cost of Debt, Cost of Equity, WACC, Weighted Average Cost of Capital
- Level: Level 2
- Topic: Cost of capital
- Series: MAY 2021
- Uploader: Uploader1