“Mental” Returns Question(s)?

If you have an NOI of $3, $50 Value, 50%LTV, 4% rate, what’s the cash on cash. And how do you solve for this? Got hit with this in an interview and stuttered up lol. 
 

also does anyone else have any “mental” math questions they’ve encountered in interviews and wanna throw out there? Want to be prepared for everything!

26 Comments
 

I’ll throw in one that I fucked up, if anyone else can help me with the explanation that would be great

Acq 1

0- -100 (Purchase)

1 - +100 (Cash flow)

2 - +100 (Cash Flow)

3 - +100 (Cash Flow)

4 - +120 (Sale)

Acq 2

0 - -40 (land purchase)

1 - -50 (building dev)

2 - +100 (cash flow)

3  - +100 (cash flow)

4 - +120 (Sale)

why is acq 2 have a higher IRR?

 

Assuming equity in Scenario 2 is going in for both the land purchase and building dev periods then you’d see a higher project level IRR as a result of spreading out your equity over the first two years as opposed to all up front. You don’t hit your peak equity until further into the project so basic time value of money rules apply. In scenario 1 the clock starts day 1, whereas in scenario 2 that clock is in theory pushed out a bit.

Now some investors might look at it differently and start the clock day 1 since they’re agreeing to commit their capital at that point but that’s a different discussion

 

I believe you are missing a part. The profits of both cash flows should be the same.

The exercise is that although profit is the same, you are deferring your capital (equity) investment/draw by one year in the second cash flow. IRR should be higher because Time Value of Money (dollar today is worth more than a dollar tomorrow)

 

Easier way,3 NOI, $50 value is a 6 cap

ROE (CoC) = (6% - 50% * 4%)/ (1-50%) = 8%

 
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