In: Finance
Please answer using Excel.
| RISKY BOND PROBLEM | ||
| Face value of bond | 100 | |
| Coupon rate | 22% | |
| Non-default probability | 80% | |
| Default probability | 20% | |
| Payoff in default (% of face value) | 40% | |
| Market price today | 95 | |
| Expected payoff in one year | ||
| Expected return, rD | ||
| Part b | ||
| Percentage equity | 40% | |
| Percentage debt | 60% | |
| Corporate tax rate, TC | 35% | |
| Cost of equity, rE | 25% | |
| WACC | ||
|
RISKY BOND PROBLEM |
||
|
Face value of bond |
100 |
|
|
Coupon rate |
22% |
|
|
Non-default probability |
80% |
|
|
Default probability |
20% |
|
|
Payoff in default (% of face value) |
40% |
|
|
Market price today |
95 |
|
|
Expected payoff in one year |
25.6 |
`=(40*0.2)+(22*0.8) |
|
Expected return, rD |
5.26% |
`=(100-95)/95 |
|
Part b |
||
|
Percentage equity |
40% |
|
|
Percentage debt |
60% |
|
|
Corporate tax rate, TC |
35% |
|
|
Cost of equity, rE |
25% |
|
|
Cost of Debt |
14% |
Calculated below |
|
WACC |
18.58% |
`=(0.25*0.4)+(0.143*0.6) |
If it the company defaults we will get 40 and chances of its default is 20%
If it does not default we will get coupon payment 22 and chances of no default is 80%
So using probability we get the expected payoff in one year
The expected return on a bond can be expressed with this formula:
Expected return = (F-P)/P
F = the bond's face value, and
P = the bond's purchase price.
To get WACC we need to find Cost of debt which can be calculated as
Cost of Debt = Interest Expense (1 – Tax Rate)
In our case interest exp is coupon payment
= 0.22(1-0.35)
=14.3%