Given the following choices what is the optimal capital stru
Given the following choices, what is the optimal capital structure for Chip Co.? (Assume that the company\'s growth rate is 2%.)
Dividends
Cost of
Debt Ratio
Per Share
Equity (r s)
0%
$5.50
11.5%
25
6.00
12.0
40
6.50
13.0
50
7.00
14.0
75
7.50
15.0
0% debt; 100% equity
25% debt; 75% equity
40% debt; 60% equity
50% debt; 50% equity
75% debt; 25% equity
| Dividends | Cost of | ||
| Debt Ratio | Per Share | Equity (r s) | |
| 0% | $5.50 | 11.5% | |
| 25 | 6.00 | 12.0 | |
| 40 | 6.50 | 13.0 | |
| 50 | 7.00 | 14.0 | |
| 75 | 7.50 | 15.0 | |
Solution
Optimal capital structure is where the share price is maximum.
Cost of Equity Dividend/( Cost of Equity - Growth)
1. For 0% debt Ratio Price of share = 5.5/(11.5% - 2%) = 57.89
2. For 25% debt Ratio Price of share = 6/(12% - 2%) =60.00
3. For 40% debt Ratio Price of share = 6.5/(13% - 2%) = 59.09
4. For 50% debt Ratio Price of share = 7.0/(14% - 2%) = 58.33
5. For 75% debt Ratio Price of share = 7.5/(15% - 2%) = 57.69
25% debt; 75% equity gives optimal capital structure as price = 60.00
Best of Luck. God Bless

