The RRK buyout fund is considering an investment in a fertilizer distribution center. The stock currently trades at $$23$ per share with $150,400,000$ shares outstanding. RRK offers $$28$ per share, $85\%$ of which is funded by high$-$yield debt securities$.$ The fund believes it can work with management to grow the firm at a rate of about $7\%$ while also retiring half of the high$-$yield debt by an expected exit in year $6,$ reinvesting any profit in growth and debt reduction.

What is the expected IRR of this investment?