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Updated about 4 years ago on . Most recent reply
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When calculating IRR...
When calculating IRR should I account for equity accrual? Or do I only account for initial cash outflow and cash flows without principle pay down and appreciation?
Most Popular Reply
Just for confirmation of the above.
If I make an investment say, $100 and I receive periodic payments of $10 and I hold the investment for 5 periods here is how we would look:
P(0) (-$100)
P(1) $10
P(2) $10
P(3) $10
P(4) $10
P(5) $10
Clearly, the cash flow doesn't generate a profitable return since the sum of periodic payments is $50 and the investment was $100.
If P(5) was the disposition period, then the net proceeds would be added onto the cash flow. Let's say the investment sold at the same value as purchase price, so then P(5) would be $110. This would then have a profitable IRR.
A bond functions in a manner where you invest $100 in P(0) and get it back dollar for dollar in P(x), where x is the maturity or end of investment term. You can arrange your model like this or you can amend the disposition number.
Equity can be accounted for in the final disposition and plugged into the last period for evaluation. Care should be taken to not count the equity twice, just for the record. For instance, if I purchased the property for $100 and I plan on selling it for $150, then equity is already bundled up in the disposition number. The equity accrual is realized at sale, that accrual can be from property improvement or appreciation. So in this case, you would not go back and say the property appreciated 3% over the 5 periods. The 3% is already rolled into the $150.
A different way to approach the idea, which is all that it is, is taking the $100 property and applying the 3% appreciation to come to $103 then using that number. This might be a conservative way of doing it, although as Giovanni mentions, most people simply add in the net proceeds at the exit period. In this example, this would be a simply assumption that you plan to purchase the home, ride the waive of appreciation and sell based on that appreciated increase in value. It is an assumption, just like the $150. You will not know the actual number until it happens.
In the OP, the other idea mentioned is principal (on a loan) being factored in. This would be incorrect in any IRR. The IRR calculation is NET cash flow. Principal payments on loans or other types of expenses come out of the gross cash number to produce the net number. So, if you want to plan a property with a loan, you will have to amortize the loan, go to the period where you plan to exit and payoff the principal balance of the loan from the sale proceeds to produce a net gain on sale. That number is plugged into the period cash flow. Three step process there.
The same principle applies to periodic cash. Use the net number from cash between in and out monies.
I would not suggest playing with MIRR unless you fully understand IRR first.