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Can someone help me to solve question4 and 5 with excel? please thanks a lot Sub

ID: 2342389 • Letter: C

Question

Can someone help me to solve question4 and 5 with excel? please thanks a lot

Submit an Excel sheet with live formulas.

1 Determine the Monthly Mortgage Payment for a $1,000,000 loan at 3.00% and a 5-year amortization schedule.

2How much Principal remains after 2 years?

3What is the Interest and Principal portion of the 8th Monthly Payment?

4If Year 1’s NOI is $400,000, what is the DSCR?

5Lenders are willing to finance small, multifamily properties at a 70% LTV, and are extending loans at 4.00% on a 30-year amortization. Equity investors are seeking a yield of around 11.00%. Derive the cap rate using the Band of Investment/Ellwood Method.   

Explanation / Answer

Balance of principal

1000000

Rate

3%

Year

5 year

Monthly payment

No of payment (12 month*5)

60

Interest rate per month (3%/12)

0.25%

Month

Discounting factor @ 0.25%

1

0.997506

2

0.995019

3

0.992537

4

0.990062

5

0.987593

6

0.985130

7

0.982674

8

0.980223

9

0.977779

10

0.975340

11

0.972908

12

0.970482

13

0.968062

14

0.965648

15

0.963239

16

0.960837

17

0.958441

18

0.956051

19

0.953667

20

0.951289

21

0.948916

22

0.946550

23

0.944190

24

0.941835

25

0.939486

26

0.937143

27

0.934806

28

0.932475

29

0.930150

30

0.927830

31

0.925517

32

0.923209

33

0.920906

34

0.918610

35

0.916319

36

0.914034

37

0.911754

38

0.909481

39

0.907213

40

0.904950

41

0.902694

42

0.900443

43

0.898197

44

0.895957

45

0.893723

46

0.891494

47

0.889271

48

0.887053

49

0.884841

50

0.882635

51

0.880433

52

0.878238

53

0.876048

54

0.873863

55

0.871684

56

0.869510

57

0.867342

58

0.865179

59

0.863021

60

0.860869

Total

55.652358

Monthly Mortgage Payment (1000000/55.652358)

17968.69

Mortgage amortization table

Month

Beginning balance of mortgage payable

Installment

Interest expense (beginning balance of mortgage payable*0.25%)

Reduction in principal (installment - interest expense)

Ending balance of mortgage payable (beginning balance of mortgage payable - reduction in principal)

1

1000000.00

17968.69

2500.00

15468.69

984531.31

2

984531.31

17968.69

2461.33

15507.36

969023.95

3

969023.95

17968.69

2422.56

15546.13

953477.82

4

953477.82

17968.69

2383.69

15585.00

937892.82

5

937892.82

17968.69

2344.73

15623.96

922268.86

6

922268.86

17968.69

2305.67

15663.02

906605.84

7

906605.84

17968.69

2266.51

15702.18

890903.67

8

890903.67

17968.69

2227.26

15741.43

875162.24

9

875162.24

17968.69

2187.91

15780.78

859381.45

10

859381.45

17968.69

2148.45

15820.24

843561.21

11

843561.21

17968.69

2108.90

15859.79

827701.43

12

827701.43

17968.69

2069.25

15899.44

811801.99

13

811801.99

17968.69

2029.50

15939.19

795862.80

14

795862.80

17968.69

1989.66

15979.03

779883.77

15

779883.77

17968.69

1949.71

16018.98

763864.79

16

763864.79

17968.69

1909.66

16059.03

747805.76

17

747805.76

17968.69

1869.51

16099.18

731706.58

18

731706.58

17968.69

1829.27

16139.42

715567.16

19

715567.16

17968.69

1788.92

16179.77

699387.39

20

699387.39

17968.69

1748.47

16220.22

683167.17

21

683167.17

17968.69

1707.92

16260.77

666906.39

22

666906.39

17968.69

1667.27

16301.42

650604.97

23

650604.97

17968.69

1626.51

16342.18

634262.79

24

634262.79

17968.69

1585.66

16383.03

617879.76

25

617879.76

17968.69

1544.70

16423.99

601455.77

26

601455.77

17968.69

1503.64

16465.05

584990.71

27

584990.71

17968.69

1462.48

16506.21

568484.50

28

568484.50

17968.69

1421.21

16547.48

551937.02

29

551937.02

17968.69

1379.84

16588.85

535348.17

30

535348.17

17968.69

1338.37

16630.32

518717.85

31

518717.85

17968.69

1296.79

16671.90

502045.96

32

502045.96

17968.69

1255.11

16713.58

485332.38

33

485332.38

17968.69

1213.33

16755.36

468577.02

34

468577.02

17968.69

1171.44

16797.25

451779.77

35

451779.77

17968.69

1129.45

16839.24

434940.53

36

434940.53

17968.69

1087.35

16881.34

418059.19

37

418059.19

17968.69

1045.15

16923.54

401135.65

38

401135.65

17968.69

1002.84

16965.85

384169.80

39

384169.80

17968.69

960.42

17008.27

367161.53

40

367161.53

17968.69

917.90

17050.79

350110.75

41

350110.75

17968.69

875.28

17093.41

333017.33

42

333017.33

17968.69

832.54

17136.15

315881.19

43

315881.19

17968.69

789.70

17178.99

298702.20

44

298702.20

17968.69

746.76

17221.94

281480.26

45

281480.26

17968.69

703.70

17264.99

264215.27

46

264215.27

17968.69

660.54

17308.15

246907.12

47

246907.12

17968.69

617.27

17351.42

229555.70

48

229555.70

17968.69

573.89

17394.80

212160.90

49

212160.90

17968.69

530.40

17438.29

194722.61

50

194722.61

17968.69

486.81

17481.88

177240.72

51

177240.72

17968.69

443.10

17525.59

159715.14

52

159715.14

17968.69

399.29

17569.40

142145.73

53

142145.73

17968.69

355.36

17613.33

124532.41

54

124532.41

17968.69

311.33

17657.36

106875.05

55

106875.05

17968.69

267.19

17701.50

89173.54

56

89173.54

17968.69

222.93

17745.76

71427.79

57

71427.79

17968.69

178.57

17790.12

53637.67

58

53637.67

17968.69

134.09

17834.60

35803.07

59

35803.07

17968.69

89.51

17879.18

17923.89

60

17923.89

17968.69

44.81

17923.88

0.00

Principal remains after 2 years = ending balance of mortgage payable on 24 months (2 years = 24 month)

617879.76

Interest portion of the 8th Monthly Payment

2227.26

Principal portion of the 8th Monthly Payment

15741.43

If Year 1’s NOI is $400,000, what is the DSCR?

Total interest for year 1 (sum of interest expense for first 12 month)

27426.28

DSCR (debt service coverage ratio = net operating income / interest ) (400000/27426.28)

14.5846

LTV

70%

Loan ratio =LTV

70%

Equity ratio (100% - 70%)

30%

Cap rate = (Loan ratio x annual constant) + (Equity ratio x equity yield rate )

Cap rate = (0.70 x 4%) + (0.30 x 11% )

Cap rate = (2.80%) + (3.30% )

Cap rate = 6.10%

Balance of principal

1000000

Rate

3%

Year

5 year

Monthly payment

No of payment (12 month*5)

60

Interest rate per month (3%/12)

0.25%

Month

Discounting factor @ 0.25%

1

0.997506

2

0.995019

3

0.992537

4

0.990062

5

0.987593

6

0.985130

7

0.982674

8

0.980223

9

0.977779

10

0.975340

11

0.972908

12

0.970482

13

0.968062

14

0.965648

15

0.963239

16

0.960837

17

0.958441

18

0.956051

19

0.953667

20

0.951289

21

0.948916

22

0.946550

23

0.944190

24

0.941835

25

0.939486

26

0.937143

27

0.934806

28

0.932475

29

0.930150

30

0.927830

31

0.925517

32

0.923209

33

0.920906

34

0.918610

35

0.916319

36

0.914034

37

0.911754

38

0.909481

39

0.907213

40

0.904950

41

0.902694

42

0.900443

43

0.898197

44

0.895957

45

0.893723

46

0.891494

47

0.889271

48

0.887053

49

0.884841

50

0.882635

51

0.880433

52

0.878238

53

0.876048

54

0.873863

55

0.871684

56

0.869510

57

0.867342

58

0.865179

59

0.863021

60

0.860869

Total

55.652358

Monthly Mortgage Payment (1000000/55.652358)

17968.69

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