Lobby Ltd is the target of an LBO. It has EBITDA of $150 million. A private equity group buys Lobby at 4 times EBITDA. The purchase is financed by $320 million debt and the remaining is equity investment by the private equity group. Five years later, EBITDA has grow to $175 million. The private equity group sells Lobby at 5 times EBITDA to a competitor. At the time of the sale, the firm still has $320 debt outstanding. Assume cash balance is negligible.

1) What is the value of equity at exit?

2. What is the IRR experienced by the private equity group?

3) The positive IRR is positive?