Rackin Pinion Corporation’s assets are currently worth $1,170. In one year, they will be worth either $1,130 or $1,420. The risk-free interest rate is 5 percent. Suppose the company has an outstanding debt issue with a face value of $1,000. |
a. | What is the value of the equity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
b-1. | What is the value of the debt? |
Given
Assets = $1,170
In one year it will be either $1,130 or $1,420
Risk free rate r= 5%
Face value of debt = $1000
From the above we can see that one year later the value is minimum of $1,130 which is greater than the face value of debt = $1,000
So, the risk free rate = interest rate of debt
a.
Value of equity = Assets - [ Face value of debt/ (1+ r)]
= $1170 - [ $1000/ (1+ 0.05)]
= $1170 – 952.3809524 = $217.6190476
Value of equity = $217.62
b-1.
Value of debt = Assets - Value of equity = $1170 - $217.6190476 = 952.3809524
Value of debt = $952.38
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