Question

In: Finance

You purchase a brand-new property that had an NOI of $12 million last year (year 0)....

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.

Solutions

Expert Solution

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

8


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