How do you calculate MOIC in a back-levered transaction?

How do you typically consider the investment amount in a transaction that you intend to back-lever shortly after an acquisition?

For simplicity...suppose I acquire a company/asset for $100.  One month later, I get $50 of debt and return $50 to equity.  Six months after that, suppose I sell the company/asset for $150.   

Would it be inappropriate to calculate the MOIC on the post-levered investment (and note calculation is based on a back-levered amount)? 

 

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