Genedak-Hogan is an American conglomerate that is actively debating the impacts of international diversification of its operations on its capital structure and cost of capital. The firm is planning on reducing consolidated debt after diversification. Senior management at Genedak-Hogan are actively debating the implications of diversification on its cost of equity. All agree that the company's returns will be less correlated with the reference market return in the future, the financial advisors believe that the market will assess an additional 3.0% risk premium for "going international" to the basic CAPM cost of equity.
Assumptions |
Before Diversification |
After Diversification |
|||
Correlation between G-H and the market |
0.88 |
0.76 |
|||
Standard deviation of G-H's returns |
28.0% |
26.0% |
|||
Standard deviation of market's returns |
18.0% |
18.0% |
|||
Risk-free rate of interest |
3.0% |
3.0% |
|||
Additional equity risk premium for internationalization |
0.0% |
3.0% |
|||
Estimate of G-H's cost of debt in U.S. market |
7.2% |
7.0% |
|||
Market risk premium |
5.5% |
5.5% |
|||
Corporate tax rate |
35% |
35% |
|||
Proportion of debt |
38% |
32% |
|||
Proportion of equity |
62% |
68% |
1. What is Genedak-Hogan's cost of equity before international diversification of its operations without the hypothetical additional risk premium?
2. What is Genedak-Hogan's cost of equity before international diversification of its operations with the hypothetical additional risk premium?
3. What is Genedak-Hogan's cost of equity after international diversification of its operations without the hypothetical additional risk premium?
4. What is Genedak-Hogan's cost of equity after international diversification of its operations with the hypothetical additional risk premium?
Formula | Before diversifcation | After diversification | |
Correlation (a) | 0.88 | 0.76 | |
StDev of G-H's returns | 28% | 26% | |
StDev of market's returns | 18% | 18% | |
(a*b/c) | Beta (B) | 1.369 | 1.098 |
Risk-free rate (rf) | 3.0% | 3.0% | |
Additional equity risk premium (Ra) | 0.0% | 3.0% | |
Market risk premium (rm) | 5.50% | 5.50% | |
rf + (beta*rm) | Cost of equity (without additional risk premium) | 10.53% | 9.04% |
rf + (beta*rm) + Ra | Cost of equity (with additional risk premium) | 10.53% | 12.04% |
1). Ke = 10.53%
2). Ke = 10.53%
3). Ke = 9.04%
4). Ke = 12.04%
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