Modeling Question: IRR goes down but CoC goes up over time

Anyone have input on this? I've built out a model and Levered IRR goes down over time while both Levered CoC and Levered equity multiple go up in the Data Table. I'm staring at this not understanding why, and am curious if this is flat out wrong or if this could actually happen?

I'm looking at it and it doesn't make sense, so I'm a bit stuck. Unfortunately, I can't share the model so I'm asking for more theoretical responses I suppose. Any help is greatly appreciated.

 

I'll address in order of simplicity/clarity:

  1. IRR often down over time because of compounding. Simple example, say you invest $100m equity into a deal that generates $50m of cash flow every year. Lets say zero percent interest to make it easy, so your cash flow goes entirely to reduce net debt. So first year you now have $150m in equity value for a 50% IRR. Second year you have $200m equity value but your IRR is only like 41%. Third year you have 250m equity value but IRR is 35%.

Also, any immediate step-up in value will have more impact in the first year. Say your situation involves buying a company at a discount, like you're paying 10x EBITDA and the company's exit value is 11x EBITDA. That 10% EV bump impacts equity value dramatically in year 1; if company is bought at 3:1 leverage you'd have a 30% gain just by flipping it. Over time that gets less and less.

  1. "while both levered CoC and Levered equity multiple go up in the data table": this isn't a clear description. You saying IRR is lower when you input a higher CoC or higher multiple? That wouldn't make sense but your description isn't clear as to what you're saying.
 
PteroGonzalez:
2. "while both levered CoC and Levered equity multiple go up in the data table": this isn't a clear description. You saying IRR is lower when you input a higher CoC or higher multiple? That wouldn't make sense but your description isn't clear as to what you're saying.

In looking at the data table, both the project level returns for CoC and EM go up, when sensitizing for a longer hold period. But, IRR goes down. Is what I was talking about.

 

The reason is that your IRR is heavily reliant on the cash you receive upon disposition of the asset. IRR is a function of return and time. The longer your time period the more years your return is diluted over.

If you buy something for $1MM today and sell it for $2MM next year your IRR is 100% and your EM is 2.0. If you sell that same asset for $4MM in 10 years your IRR is 16% even though your EM is now 4.0.

Since cap rates are in the 5%+/- range the annual cash flow is not going to offset the extra year of hold period.

 
Most Helpful

drunk and bored, watching the presidents cup so I’ll take a stab at this. This happens in my development models all the time. If the majority of your profits are coming from the reversion your irr will most certainly decrease the longer you hold. It’s basic time value of money. The cash on cash should increase during the hold due to inflation. Coc is a single year measurement comparing a specific year’s cf to your initial investment. $100k cash flow in year 2 is a 10% coc on a $1mm investment. IRR measures all years’ cf and the reversion. The further you push out the reversion the lower your irr will be unless you have an insanely high rent growth assumption. If you have to question why your equity multiple increases over time then you might be in the wrong business.

 
babybaboon:
What is the argument to sell the investment at peak IRR vs. holding until year 7 or 10. An IRR investor might want to pull the trigger right at that peak but what would you argue for the project to be holder for longer?

Because no one is only selling on an IRR basis. If I buy a building on May 31 where most of the leases renew on June 1, then I could raise my rents by 1% and say I want sell the property on June 2 and take an annualized 182.5% IRR. No one in their right mind would do that.

But the answer to the question you're trying to ask is that exactly this kind of discussion can become the bone of contention in a fight between a sponsor and an LP, so it's important to be very clear in your operating docs who has rights to demand a sale, or what the buy/sell provisions are.

 

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