Question
Company has 4 debt issues with following characteristics Face value Coupon duration 200M 14% 14.1y 120M 12% 10.2y 200M 11% 9.5y 700M 12.5% 4y Lets
Company has 4 debt issues with following characteristics | |||
| Face value | Coupon | duration |
| 200M | 14% | 14.1y |
| 120M | 12% | 10.2y |
| 200M | 11% | 9.5y |
| 700M | 12.5% | 4y |
Lets assume 65% equity and 35% debt based on market values and number shares.
The firm is rated B. Although firms bonds are not traded similar B-rated bonds have annualized standard deviation of 11%.
The correlation between B-rated bonds and this company's stock returns is 0.50.
The firm pays no dividends.
The current T-Bond rate is 2%.
Assume firm is 30% debt and 70% equity (based on market value) The volatility of equity is 0.19.
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1. What is the duration of the debt?
2. What is the volatility of the firm?
3. What is the value of the equity?
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