You own a coal mining company and are considering opening a new mine. The mine itself will cost $$120$ million to open. If this money is spent immediately, the mine will generate $$20$ million for the next $10$ years. After that, the coal will run out and the site must be cleaned and maintained at environmental standards. The cleaning and maintenance are expected to cost $$2$ million per year in perpetuity. The cost of capital is $8\%.$ For which values of discount rates the IRR rule would suggest that you should accept this opportunity?