Question

Tomkat Corp. has only a single asset. This asset generates operating cash flow of $300,000 per year, in perpetuity. Tomkat also has a single liability, which is a perpetual bond (the maturity date is infinitely far in the future) that has a face value of $1 million and that pays coupon interest at a rate of 6% once per year. The appropriate discount rate for the asset is 10%, while that for the bond is 5% per year.

Required:
What is the value of Tomkat’s equity?

Answer 1

$1,800,000

Step-by-step explanation:

Value of Tomcat's Asset = $300000 / 0.1

Value of Tomcat's Asset = $3,000,000

Interest amount = $1,000,000 * 6%

Interest amount = $60000

Value of Liability (bond) = $60000/0.05

Value of Liability (bond) = $1,200,000

Value of Tomcat's equity = $3000000 - $1200000

Value of Tomcat's equity = $1,800,000