XIRR vs. Calculating IRR from MoM

I read that to get the implied IRR from your MoM multiple, you use the following formula: 
IRR = (MoM) ^ (1/(# of periods) -1 

I tried testing the above by comparing with what I Was getting for IRR if I used the XIRR function directly and I am getting vastly different results. 

Here is a simple example to illustrate: 
Assume a cash outflow in year (0) of -100, and then positive CFs of 25 for the remaining 6 years. Your distribution is something like this: 
Dec-31-2010: -100
Dec-31-2011: 25
Dec-31-2012: 25
Dec-31-2013: 25
Dec-31-2014: 25
Dec-31-2015: 25
Dec-31-2016: 25

Above translates to a MoM of 1.50x, which results in an IRR of ~7% if I use the formula I listed above. HOWEVER, when I calculate the IRR using the XIRR fuction in excel, it gives me ~13% 

Can you pls tell me what am I missing here?? I would have thought the numbers under both formula would be somewhat different, but not by AS MUCH 

 

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One poster has mentioned this but the difference is due to the timing of cash flows - if this isn't obvious / intuitive, do spend some time studying this as it's extremely important for any career in IB / PE. Generally, if I receive my cash back sooner, my IRR is higher, even is the MoM is identical. A 2x MoM returns a higher IRR if cash is received in 2 years rather than 5.

Your case is a good example of why we should expect very different IRRs between each method (as something like an extreme case of where the CASH IN is distributed evenly over a number of years, versus the other extreme of all CASH IN being received at a specific point in time).

 

I understand that and in an ideal world I would use IRR function. But here I can't which is why I was relying on the shorthand approach.

For context, I am trying to evaluate whether the bid we are offering would be acceptable to the sponsor (seller) and I only have how much cash this sponsor injected initially, so I wanted to evaluate what would have been the resulting IRR to this sponsor based on our offered purchase price. 

 

I understand that and in an ideal world I would use IRR function. But here I can't which is why I was relying on the shorthand approach.

For context, I am trying to evaluate whether the bid we are offering would be acceptable to the sponsor (seller) and I only have how much cash this sponsor injected initially, so I wanted to evaluate what would have been the resulting IRR to this sponsor based on our offered purchase price. 

 

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