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This is a hypothetical private equity investment case in a public company. The terms are privately negotiated between your firm and IBM. IBM is expanding

This is a hypothetical private equity investment case in a public company. The terms are privately negotiated between your firm and IBM.
IBM is expanding into a service to monitor AI. IBM is planning on raising $20 billion for this purpose. Your company (a private equity fund) has discussed internally and decided to invest in IBM. You firm will invest $7 billion from the PE fund and will have to use debt for the remaining balance.
As a senior executive from you company, you come to IBM to present your investment and your plan. Assume your firms initial investment horizon is 57 years, then exit. Thus, you will cover:
The equity percentage of your firms investment at IBM.
How are you going to raise debt?
How to de-leverage after the investment?
How will your firm add value other than the $20 billion?
What is your estimated valuation at time of exit. Profits or losses to your firm?

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