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%