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Please answer using Excel. RISKY BOND PROBLEM Face value of bond 100 Coupon rate 22% Non-default...

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  

Solutions

Expert Solution

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%


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