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 

 

11 Comments
 
Most Helpful

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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