In: Finance
You purchase a brand-new property that had an NOI of $12 million last year (year 0). NOI is expected to grow at 5% a year. In order to maintain this growth, you hire a management team to manage the property and they charge 3% of NOI per annum. The risk-free rate is 1%. 1. You go to bank ABC to take out an amortized loan. The going-in cap rate for the property is 6%. They are willing to lend you 75% of the fair market value of the property. The term of the loan is 25 years, the interest rate = 4% above the risk-free rate. What is the maximum amount of debt you can take? 2. Assume you take the maximum amount of debt that bank ABC offered. Your accountant deems that 30% of the property value is attributed to land while 70% is to the building. The building will depreciate for 39 years. Show the value of the building, the land, and annual depreciation. 3. Prepare a 10 year pro forma for the property, ending with ATCFs. Include the following assumptions: a. Tax rate is 30% b. Recapture tax rate is 20% c. Capital gain tax rate is 15% d. Going-out cap rate at the end of 10 years is 8% 4. Calculate the NPV (discount rate = 9%) and IRR of the property.
Calculation of FMV of property
FMV = Annual NOI / Going out cap rate
= 12000000 / 0.06
= 200000000
Max. Permissible Bank Loan
= FMV of property * 0.75
= 200000000 * 0.75
= 150000000
ROI of Bank loan = 4% + Risk free rate
= 4% + 1%
= 5%
Tenor = 25 Years
In absence of any information, we have assumed that bank loan is non-amortizing loan. Investor has to pay interest on principle amount during entire tenor.
Interest cost = 150000000 * 0.05 = 7500000
Calculation of Depreciation
Building Cost = FMV of Property * 0.7
= 200000000 * 0.7
= 140000000
Depreciation = 140000000 / 39
= 358974
Book Value of Property at the end of 10 years
= 200000000 – ( 358974 *10)
= 200000000 – 3589740
=16410260
Calculation of Recapture tax liability
= 200000000 – 16410260
= 3589740 * 20%
= 717948
Calculation of Capital tax liability
FMV of property at the end of 10th year = NOI at the end of 10th year / Going out cap rate
= 18057460/ 0.08
= 225718250
Capital Gain = 225718250 - 200000000
= 25718250
Capital Gain Tax
= 25718250 * 15%
= 3857737.5
Calculation of terminal cashflow
Particulars |
Amount |
Sale proceeds of property |
225718250.0 |
Less : payment of bank loan |
150000000.0 |
Less: Recapture Tax |
717948.0 |
Less : Capital Gain Tax |
3857737.5 |
Net Terminal cashflow |
71142564.5 |
Calculation of cashflow
Particulars |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
NOI |
12000000.00 |
12600000.00 |
13230000.00 |
13891500.00 |
14586075.00 |
15315378.75 |
16081147.69 |
16885205.07 |
17729465.33 |
18615938.59 |
Less : Property Management Fees @3% |
360000.00 |
378000.00 |
396900.00 |
416745.00 |
437582.25 |
459461.36 |
482434.43 |
506556.15 |
531883.96 |
558478.16 |
EBIT |
11640000.00 |
12222000.00 |
12833100.00 |
13474755.00 |
14148492.75 |
14855917.39 |
15598713.26 |
16378648.92 |
17197581.37 |
18057460.43 |
Less : Interest paid ( 150 Millon * 5%) |
7500000.00 |
7500000.00 |
7500000.00 |
7500000.00 |
7500000.00 |
7500000.00 |
7500000.00 |
7500000.00 |
7500000.00 |
7500000.00 |
EBT |
4140000.00 |
4722000.00 |
5333100.00 |
5974755.00 |
6648492.75 |
7355917.39 |
8098713.26 |
8878648.92 |
9697581.37 |
10557460.43 |
Less: Depreciation |
358974.00 |
358975.00 |
358976.00 |
358977.00 |
358978.00 |
358979.00 |
358980.00 |
358981.00 |
358982.00 |
358983.00 |
CFBTAD |
3781026.00 |
4363025.00 |
4974124.00 |
5615778.00 |
6289514.75 |
6996938.39 |
7739733.26 |
8519667.92 |
9338599.37 |
10198477.43 |
Less : tax @30% |
1134307.80 |
1308907.50 |
1492237.20 |
1684733.40 |
1886854.43 |
2099081.52 |
2321919.98 |
2555900.38 |
2801579.81 |
3059543.23 |
CFAT |
2646718.20 |
3054117.50 |
3481886.80 |
3931044.60 |
4402660.33 |
4897856.87 |
5417813.28 |
5963767.54 |
6537019.56 |
7138934.20 |
Add : Depreciation |
358974.00 |
358975.00 |
358976.00 |
358977.00 |
358978.00 |
358979.00 |
358980.00 |
358981.00 |
358982.00 |
358983.00 |
CFBDAT |
3005692.20 |
3413092.50 |
3840862.80 |
4290021.60 |
4761638.33 |
5256835.87 |
5776793.28 |
6322748.54 |
6896001.56 |
7497917.20 |
Calculation of NPV of project
A |
B |
C |
D = C^A |
E = B * D |
Sr. no. |
CFBDAT |
PV Factor |
||
1 |
3005692.2 |
1.09 |
1.09000 |
2757515.78 |
2 |
3413092.5 |
1.09 |
1.18810 |
2872731.67 |
3 |
3840862.8 |
1.09 |
1.29503 |
2965850.80 |
4 |
4290021.6 |
1.09 |
1.41158 |
3039159.46 |
5 |
4761638.3 |
1.09 |
1.53862 |
3094738.20 |
6 |
5256835.9 |
1.09 |
1.67710 |
3134479.47 |
7 |
5776793.3 |
1.09 |
1.82804 |
3160103.75 |
8 |
6322748.5 |
1.09 |
1.99256 |
3173174.29 |
9 |
6896001.6 |
1.09 |
2.17189 |
3175110.69 |
10 |
7497917.2 |
1.09 |
2.36736 |
3167201.25 |
10 |
71142565 |
1.09 |
2.36736 |
30051388.08 |
PV |
60591453.44 |
|||
Less : Initial Investment |
50000000 |
|||
NPV |
10591453.44 |
Let’s assume, PV factor is 12%
A |
B |
C |
D = C^A |
E = B * D |
Sr. no. |
CFBDAT |
PV Factor |
||
1 |
3005692.2 |
1.12 |
1.12000 |
2683653.75 |
2 |
3413092.5 |
1.12 |
1.25440 |
2720896.44 |
3 |
3840862.8 |
1.12 |
1.40493 |
2733850.28 |
4 |
4290021.6 |
1.12 |
1.57352 |
2726386.28 |
5 |
4761638.3 |
1.12 |
1.76234 |
2701881.47 |
6 |
5256835.9 |
1.12 |
1.97382 |
2663276.65 |
7 |
5776793.3 |
1.12 |
2.21068 |
2613127.91 |
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