LBO Case Study Problem

Hello, does anyone have any advice to solve this problem. It is a Harvard case study question. "What do you think of the $40 million price for CoMark? Value CoMark using multiples and the APV method."

I've read that you should find the value of equity and then add the value of the tax benefits. The paper gives us all the estimates free cash flows but the problem is that I don't know what the cost of equity is and it's a private company. I also don't know how to compute the value of tax credits (but I think I can figure this out) Any help would be appreciated.

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