Question
Please help me 2. Your company is exploring the opportunity to buy an office building that is expected to generate a Net Operating Income (NOI)
Please help me
2. Your company is exploring the opportunity to buy an office building that is expected to generate a Net Operating Income (NOI) of $750,000 next year. The NOI is expected to grow at 3.5% each year. After 5 years (i.e. at the end of the 5th year) you can expect to sell the building for $10,000,000.
Your required rate of return (i.e. the discount rate) is 5.5%, compounded annually. You will first need to fill in the following table. (Nothing should be entered in the row labeled Reversion until year 5)
Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | |
NOI | 750000 | 776250 | 803418.75 | 831538.4 | 860642.2 |
Reversion | ssssssssssssss | Ssssssssssss | ssssssssssssssss | sssssssssssssssss |
What is the estimated value of the building today? (Hint: you need to consider both the cash flows and the reversion value. Do not just Cap the first years NOI)
Year 1 | Year 2 | Year 3 | Year 4 | Year 5 |
N= | N= | N= | N= | N= |
I= | I= | I= | I= | I= |
Solve for PV= | Solve for PV= | Solve for PV= | Solve for PV= | Solve for PV= |
PMT= | PMT= | PMT= | PMT= | PMT= |
FV= | FV= | FV= | FV= | FV= |
Note: 5th year cash flow includes reversion
OR
Use CF keys (remember to add reversion in year 5 cash flow).
3) Cap Rates
a) What is the cap rate of the building referenced above if it is valued today at $9,000,000?
b) Suppose there is another building just across the street that is very similar to the one you just valued. Next years NOI for the other building is projected to be $775,000. What is a good approximation for the value of the building, based upon information from part a) of the problem?
4) Mortgage Calculations and Amortization
a) You have just bought a house that has a purchase price of $450,000. The loan has a 70% LTV (loan-to-value ratio). What is the amount of the loan for which you are eligible?
b) The mortgage will fully amortize over 25 years with a rate of 6%, compounded monthly. What are your monthly payments for this loan?
PV=
N=
I/Y=
CPT, PMT =
c) Suppose you have a loan for $250,000 fully amortizing over 25 years at 5.5%, compounded monthly. What is the monthly payment on the loan?
PV=
N=
I/Y=
CPT, PMT =
(Note: for problems d through f, use the loan information given above in problem c.)
d) What is the outstanding balance at the end of 10 years (i.e. at the end of the 120th month)?
PV=
PMT=
N=
I/Y=
FV =
e) How much principal has been paid to date?
f) How much interest have you paid to date?
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