Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Website: www.mccue.com



Calculations

LeasePak performs many calculations, some of which depend on customization parameters established with the Portfolio update [U0212]. Calculations which are detailed in this document are:

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Lease Accrual Methods

 

The term accrual refers to the process of a monthly recognition of income earned by the leasing company. LeasePak provides many methods of accruing income for the lease. The income recognition method is specified at the lease level when the lease is booked (through the New Lease update [U0101]).

There are three major accrual method types available through LeasePak:

Each accrual method may have payments due in advance or in arrears. If payments are due in advance, the first payment is due on the commencement date of the lease. If payments are due in arrears, the first payment is due one period after the commencement date of the lease. Any accrual method which begins with an A (e.g., AAPR, AR78, etc.) signifies that payments are due in advance. Any accrual method which begins with an R (e.g., RAPR, RR78, etc.) signifies that payments are due in arrears.

An explanation of each of the available accrual methods follows.

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Level Yield (FASB Method)

The Level Yield accrual method code list consists of:

The Level Yield accrual method earns income based on the calculated implicit rate or Internal Rate of Return (IRR) of the lease. The implicit rate is the discount rate that causes the present value at the inception of the lease (using the minimum lease payments and any unguaranteed residual) to be equal to the fair market value of the leased equipment. The fair market value must be reduced by any Investment Tax Credit retained by the lessor.

The implicit rate is calculated using a cash flow which includes:

This cash flow is used to calculate the implicit rate, which is found via a series of complex calculations. In each calculation, the implicit rate is estimated and used to determine the net present value (NPV) of the cash flow. If the NPV is (or is very near) zero, then the estimated implicit rate is the desired rate.

For the AADA/RADA method, a file named tolerance.dat can be added to the user’s data directory which contains the number of basis points which is an allowable variance between the IRR in period 1 of the payment schedule and the IRR in the final period.

This rate is used to calculate earned income. For AAPR/RAPR accrual method, income is calculated twelve times a year. For AADA/RADA method, it is calculated daily.

 

The following is a sample amortization schedule using the AAPR/RAPR Level Yield accrual method (with payments due in advance and in arrears).

Acquisition cost

= $10,000.00

Residual = $ 1,000.00
Yield = 12%
Payment schedule = 12 monthly payments of $801.62 (in advance) or $809.64 (in arrears)
Commencement = January 1, 1996

 

Date

Advance

Arrears

 

Net Investment Reduction

Income

Net Investment

Net Investment Reduction

Income

Net Investment

 

801.62

 

9,198.38

   

10,000.00

1/96

709.64

91.98

8,488.74

709.64

100.00

9,290.36

2/96

716.74

84.88

7,772.00

716.74

92.90

8,573.62

3/96

723.90

77.72

7,048.10

723.90

85.74

7,849.72

4/96

731.14

70.48

6,316.96

731.14

78.50

7,118.58

5/96

738.45

63.17

5,578.51

738.45

71.19

6,380.13

6/96

745.84

55.78

4,832.67

745.84

63.80

5,634.29

7/96

753.30

48.32

4,079.37

753.30

56.34

4,880.99

8/96

760.83

40.79

3,318.54

760.83

48.81

4,120.16

9/96

768.44

33.18

2,550.10

768.44

41.20

3,351.72

10/96

776.12

25.50

1,773.98

776.12

33.52

2,575.60

11/96

783.88

17.74

990.10

783.88

25.76

1,791.72

12/96

-9.90

9.90

1,000.00

791.72

17.92

1,000.00

 

9,000.00

619.44

 

9,000.00

715.68

 

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Rule Of 12/78ths

The Rule of 12/78ths accrual method code list consists of:

The Rule of 12/78ths accrual method earns income based upon a proportional method with higher earnings recognized in the earlier stages of the lease. The remaining months in the lease and the current unearned income of the lease are used to compute the monthly earned income:

EARNED INCOME = NUMBER OF REMAINING MONTHS IN LEASE
/ SUM OF THE DIGITS OF REMAINING MONTHS
* CURRENT UNEARNED RENTAL INCOME

The sum of the digits of digits "x" is a simple addition of the numbers from 1 to ‘x’. For example, the sum of the digits of 36 is calculated as follows:

1 + 2 + 3 + . . . + 35 + 36 or, in general,

1 + 2 + 3 + . . . + (x - 1) + x

A formula method for the above calculation is: x * (x + 1) / 2

In essence, a declining percentage of the total income to be earned over the life of the lease is recognized each month. A 12-month lease term, for example, would recognize 12/78ths of the total income in month 1, 11/78ths in month 2, 10/78ths in month 3, and so on. (The first period’s income calculation ration lends its name to this method.) A 36-month lease term would recognize 36/666ths of the total income in month 1, 35/666ths in month 2, 34/666ths in month 3, and so on.

Compared to the Level Yield method, the Rule of 12/78ths method earns income at a faster rate.

Note: The earned income calculation, by virtue of using the remaining months in the lease and the current unearned rental income, automatically compensates for midterm income adjustments in the lease. Midterm income adjustments result from changes in the remaining payment schedule, such as through the Payment Reschedule update [U0104], the Asset Payoff or Termination options of the Payoff update [U0103], and the Asset Add-on update [U0113].

 

The following is a sample amortization schedule using the Rule of 12/78ths accrual method (with payments due in advance and in arrears).

Acquisition cost = $10,000.00
Residual = $ 1,000.00
Yield = 12%
Payment schedule

= 12 monthly payments of $801.62 (in advance) or $809.64 (in arrears)

Commencement = January 1, 1996

 

Date

Advance

Arrears

 

Net Investment Reduction

Income

Net Investment

Net Investment Reduction

Income

Net Investment

 

801.62

 

9,198.38

   

10,000.00

1/96

706.32

95.30

8,492.06

699.54

110.10

9,300.46

2/96

714.26

87.36

7,777.80

708.71

100.93

8,591.75

3/96

722.20

79.42

7,055.60

717.89

91.75

7,873.86

4/96

730.15

71.47

6,325.45

727.06

82.58

7,146.80

5/96

738.09

63.53

5,587.36

736.24

73.40

6,410.56

6/96

746.03

55.59

4,841.33

745.41

64.23

5,665.15

7/96

753.97

47.65

4,087.36

754.59

55.05

4,910.56

8/96

761.91

39.71

3,325.45

763.76

45.88

4,146.80

9/96

769.85

31.77

2,555.60

772.94

36.70

3,373.86

10/96

777.80

23.82

1,777.80

782.11

27.53

2,591.75

11/96

785.74

15.88

992.06

791.29

18.35

1,800.46

12/96

-7.94

7.94

1,000.00

800.46

9.18

1,000.00

 

9,000.00

619.44

 

9,000.00

715.68

 

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Rule Of 12/78ths Half Month Convention

The Rule of 12/78ths Half Month Convention accrual method code list consists of:

The Rule of 12/78ths Half Month Convention accrual method is a variation of the Rule of 12/78ths accrual method. The Half Month Convention does not earn income as fast as the regular Rule of 12/78ths method, however, it may be more representative of income earned on a calendar month basis.

The remaining months in the lease, the original term, and the original unearned income of the lease are used to compute the monthly earned income:

EARNED INCOME =
(NUMBER OF REMAINING MONTHS IN LEASE)2
/ TERM * (TERM + 1)
* ORIGINAL UNEARNED RENTAL INCOME

Compared to the Rule of 12/78ths method, the Half Month Convention method produces a smaller income accrual in the first month and larger income accruals in the succeeding months. Also, the recognition of income is spread over an additional accrual period (the lease maturity month). The remaining net investment is less than the residual in the month before maturity. A side-by-side comparison of the Rule of 12/78ths and the Rule of 12/ 78ths Half Month Convention methods follows:

Acquisition cost = $1,100.00
Payment schedule = 12 monthly payments $100.00 (in arrears)
Commencement = January 10, 1996

 

Date

Rule of 12/78ths

Rule of 12/78ths Half Month

 

Net Inv Redctn

Income

Current Unearned

Net Invest

Net Inv Redctn

Income

Current Unearned

Net Invest

     

100.00

1,100.00

 

100.00

1,100.00

 

1/96

84.62

15.38

84.62

1,015.38

92.31

7.69

92.31

1,007.69

2/96

85.90

14.10

70.52

929.48

85.25

14.75

77.56

922.44

3/96

87.18

12.82

57.70

842.30

86.54

13.46

64.10

835.90

4/96

88.46

11.54

46.16

753.84

87.82

12.18

51.92

748.08

5/96

89.74

10.26

35.90

664.10

89.11

10.89

41.03

658.97

6/96

91.03

8.97

26.93

573.07

90.38

9.62

31.41

568.59

7/96

92.31

7.69

19.24

480.76

91.67

8.33

23.08

476.92

8/96

93.59

6.41

12.83

387.17

92.95

7.05

16.03

383.97

9/96

94.87

5.13

7.70

292.30

94.23

5.77

10.26

289.74

10/96

96.15

3.85

3.85

196.15

95.51

4.49

5.77

194.23

11/96

97.44

2.56

1.29

98.71

96.79

3.21

2.56

97.44

12/96

98.71

1.29

0.00

0.00

98.08

1.92

0.64

-0.64

1/97

       

-0.64

0.64

0.00

0.00

 

1,100.00

100.00

   

1,100.00

100.00

   

It should be noted that the calculation of income each month is based upon a specific fraction of a constant original unearned income amount (where, over the life of the lease, 100% of the original unearned income is recognized as income). However, midpoint changes in the lease, such as through the Asset Add-on update [U0113], the Asset Payoff or Termination option of the Payoff update [U0103], or the Payment Reschedule update [U0104], adjust the original unearned income amount. Income accruals (continuing under the Half Month Convention) subsequent to a midpoint lease change do not smoothly amortize the remaining unearned.

Using the same information as the previous example to illustrate this point, assume an asset is added onto the lease after the 6/96 accrual, increasing the current unearned by $10.00. The following table shows the original Rule of 12/78ths Half Month Convention amortization and the amortization following the $10.00 adjustment in unearned income. Notice the fluctuation in income under the ADJUSTMENT amortization in 7/96.

Date

Rule of 12/78ths Half Month

Adjustment

 

Net Inv Reduction

Income

Current Unearned

Net Investment

Income

Current Unearned

     

100.00

1,100.00

   

1/96

92.31

7.69

92.31

1,007.69

   

2/96

85.25

14.75

77.56

922.44

   

3/96

86.54

13.46

64.10

835.90

   

4/96

87.82

12.18

51.92

748.08

   

5/96

89.11

10.89

41.03

658.97

   

6/96

90.38

9.62

31.41

568.59

 

41.41

7/96

91.67

8.33

23.08

476.92

16.03

25.38

8/96

92.95

7.05

16.03

383.97

7.75

17.63

9/96

94.23

5.77

10.26

289.74

6.35

11.28

10/96

95.51

4.49

5.77

194.23

4.93

6.35

11/96

96.79

3.21

2.56

97.44

3.53

2.82

12/96

98.08

1.92

0.64

-0.64

2.11

0.71

1/97

99.36

0.64

0.00

0.00

0.71

0.00

 

1,100.00

100.00

   

110.00

 

NOTE: The numbers enclosed by grey area in the preceding example are for comparison purposes.

To approximate a correction for this problem, the accrual method will automatically switch from the Rule of 12/78ths Half Month Convention method to the Rule of 12/78ths method when the original unearned income amount is changed through the Asset Add-on update [U0113], the Asset Payoff or Termination options of the Payoff update [U0103], or the Payment Reschedule update [U0104].

Again using the same information as before, the following accrual will result. Notice that the income now smoothly amortizes over the remaining period.

Date

Rule of 12/78ths Half Month

Adjustment

Rule of 12/78ths

 

Income Accrued

Current Unearned

Net Investment

Income Accrued

Current Unearned

Income Accrued

Current Unearned

   

100.00

1,100.00

       

1/96

7.69

92.31

1,007.69

       

2/96

14.75

77.56

922.44

       

3/96

13.46

64.10

835.90

       

4/96

12.18

51.92

748.08

       

5/96

10.89

41.03

658.97

       

6/96

9.62

31.41

568.59

 

41.41

 

41.41

7/96

8.33

23.08

476.92

16.03

25.38

10.35

31.06

8/96

7.05

16.03

383.97

7.75

17.63

8.87

22.19

9/96

5.77

10.26

289.74

6.35

11.28

7.40

14.79

10/96

4.49

5.77

194.23

4.93

6.35

5.92

8.87

11/96

3.21

2.56

97.44

3.53

2.82

4.44

4.43

12/96

1.92

0.64

-0.64

2.11

0.71

2.95

1.48

1/97

0.64

0.00

0.00

0.71

0.00

1.48

0.00

 

100.00

   

110.00

 

110.00

 

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Straight Line

The Straight Line accrual method code list consists of:

The Straight Line accrual method earns income in equal increments over the term of the lease. Each month’s earned income is calculated as follows:

EARNED INCOME = ORIGINAL UNEARNED INCOME / TERM

The following is a sample amortization schedule using the Straight Line accrual method (with payments due in advance and in arrears).

Acquisition cost = $10,000.00
Residual = $ 1,000.00
Yield = 12%
Payment schedule

= 12 monthly payments of $801.62 (in advance) or $809.64 (in arrears)

Commencement = January 1, 1996

 

Date

Advance

Arrears

 

Net Investment Reduction

Income

Net Investment

Net Investment Reduction

Income

Net Investment

 

801.62

 

9,198.38

   

10,000.00

1/96

750.00

51.62

8,448.38

750.00

59.64

9,250.00

2/96

750.00

51.62

7,698.38

750.00

59.64

8,500.00

3/96

750.00

51.62

6,948.38

750.00

59.64

7,750.00

4/96

750.00

51.62

6,198.38

750.00

59.64

7,000.00

5/96

750.00

51.62

5,448.38

750.00

59.64

6,250.00

6/96

750.00

51.62

4,698.38

750.00

59.64

5,500.00

7/96

750.00

51.62

3,948.38

750.00

59.64

4,750.00

8/96

750.00

51.62

3,198.38

750.00

59.64

4,000.00

9/96

750.00

51.62

2,448.38

750.00

59.64

3,250.00

10/96

750.00

51.62

1,698.38

750.00

59.64

2,500.00

11/96

750.00

51.62

948.38

750.00

59.64

1,750.00

12/96

750.00

51.62

1,000.00

750.00

59.64

1,000.00

 

9,000.00

619.44

 

9,000.00

715.68

 

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Precomputed Simple

The Precomputed Simple accrual method code list consists of:

The Precomputed Simple accrual method earns income based upon a fixed interest rate applied against the outstanding balance of the lease using a 360 or 365 day basis. The 360 day basis uses 12 equal months of 30 days. The 365 day basis uses the actual number of days in the month and a 365 day year. Under all methods, lease payments are assumed to be received on their payment due dates (therefore, there are no variations of income accrued due to the early or late receipt of the payment).

Using a 360 day basis (30 day months), income is calculated as follows:

PRINCIPAL BALANCE * INTEREST RATE / 12

Using a 365 day basis, income is calculated as follows:

PRINCIPAL BALANCE * INTEREST RATE * ACTUAL NUMBER OF DAYS IN MONTH / 365

The outstanding balance of the lease assumes that lease payments are received on their payment due dates. That is, income calculations are not based upon the day that the lease payments are actually received. Therefore, the interest to be earned each month can actually be predicted, hence the term ‘precomputed’.

The Principal Outstanding General Ledger account is used for this method. Contract Receivable and Unearned Income are not used.

The following is a sample amortization schedule using the Precomputed Simple accrual method.

Accrual method = APX0
Acquisition cost = $10,000.00
Residual = $ 0.00
Yield = 12%
Payment schedule = 12 monthly payments of $879.69 (in advance)
Commencement = January 1, 1996

 

Date

Net Investment Reduction

Income

Net Investment

 

879.69

 

9,120.31

1/96

788.49

91.20

8,331.82

2/96

796.37

83.32

7,535.45

3/96

804.34

75.35

6,731.11

4/96

812.38

67.31

5,918.73

5/96

820.50

59.19

5,098.23

6/96

828.71

50.98

4,269.52

7/96

836.99

42.70

3,432.53

8/96

845.36

34.33

2,587.17

9/96

853.82

25.87

1,733.35

10/96

862.36

17.33

870.99

11/96

870.99

8.70

0.00

12/96

0.00

0.00

0.00

 

10,000.00

556.28

 

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Floating Simple Interest

The Floating Simple Interest accrual method code list consists of:

Floating simple interest leases may have fixed or variable payments and may be based upon a 360, 365, or actual day year. Under all methods, lease payments are assumed to be received on their payment due dates (therefore, there are no variations of income accrued due to the early or late receipt of the payment). The base interest rate may vary with any rate on the Base Rate (DRPR) file. The contract rate entered for the lease (through the Book Lease option of the New Lease update [U0101]) represents the percentage over the base rate specified (e.g., entering 2% for the lease indicates that the interest rate should be 200 basis points over the floating base rate specified for the lease).

 

The VT Method

There are several floating rate methods available. The following sections describe each method.

The VT method is characterized by variable payment amounts (Variable payment floaT), which consist of principal plus interest. The amount of the principal portion of the payment is specified through the lease’s payment schedule. Interest is calculated by LeasePak (in arrears). Interest is neither calculated, accrued nor billed until the due date at the end of the billing period.

This method accrues interest differently from all other methods. It does not accrue payments until their due dates (i.e., behaves as though ACCRUAL DEFERRAL DAYS is set to 31). Thus interest calculation is truly in arrears. All base rates for the period are known when interest is calculated, so no interest adjustment is ever necessary.

The interest rate is calculated by:

SUM OF (ADD-ON RATE + BASE RATE FOR EACH DAY OF THE MONTH) / 360 OR 365

Notice that if the 360 day method is used then base rate is calculated using the actual number of days in the month divided by 360, rather than assuming equal 30 day months. The interest amount, then, is calculated as follows:

INTEREST RATE * PRINCIPAL BALANCE

The Principal Outstanding General Ledger account is used for this method. Contract Receivable and Unearned Income are not used.

Step and interest-only payments may be entered for this method. Interest- only payments are entered by specifying a zero principal amount in the payment schedule.

The following is a sample amortization schedule using the VT simple interest floating rate accrual method. The actual interest rate shown in the schedule consists of the base rate plus the add-on rate.

Accrual method = RVT0
Acquisition cost = $50,000.00
Yield = 15%
Payment schedule = 12 monthly payments of $4,166.67
Commencement = January 1, 1984

Accrue Date

Number Days

Act Int Rate

Actual Income

Scheduled Principal

Principal Outstanding

Payment

Pmt due Date

         

50,000.00

   

1/84

31

15.00%

645.83

4,166.67

45,833.33

4,812.50

2/84

2/84

29

15.00%

553.82

4,166.67

41,666.66

4,720.49

3/84

3/84

31

15.25%

547.16

4,166.67

37,499.99

4,713.83

4/84

4/84

30

15.25%

476.56

4,166.67

33,333.32

4,643.23

5/84

5/84

31

15.75%

452.08

4,166.67

29,166.65

4,618.75

6/84

6/84

30

15.50%

376.74

4,166.67

24,999.98

4,543.41

7/84

7/84

31

15.00%

322.92

4,166.67

20,833.31

4,489.59

8/84

8/84

31

15.00%

269.10

4,166.67

16,666.64

4,435.77

9/84

9/84

30

14.50%

201.39

4,166.67

12,499.97

4,368.06

10/84

10/84

31

14.25%

153.39

4,166.67

8,333.30

4,320.06

11/84

11/84

30

14.00%

97.22

4,166.67

4,166.63

4,263.89

12/84

12/84

31

14.00%

50.23

4,166.63

0.00

4,216.90

1/85

     

4,146.44

50,000.00

     

 

The LT Method

This method is characterized by level (or fixed) payment amounts (Level payments floaT), which, like the VT method, consist of principal plus interest. Recall, however, that the VT method adjusts the total amount due (principal plus interest) of each payment. The LT method, in contrast, holds any variations in interest (because of fluctuations in the base rate) until the end of the lease. Midterm adjustments, however, may be made at any time to an LT lease to collect interest shortages (base rate increased) or to refund interest overages (base rate decreased).

The interest rate is calculated by LeasePak (in arrears) using the same calculation as described for the VT method. Accrual takes place on the payment due date, not before.

The amount of the fixed payment is entered into the lease’s payment schedule. This is the amount due each period. At the end of the lease, the last payment is adjusted for variations in interest. If the base rate substantially falls from the original rate, it might be possible for the lease to terminate early. This condition is automatically checked during the accrual process.

Based upon the payment schedule entered, a scheduled interest rate can be determined. The principal balance is reduced on this scheduled basis. Any adjustments because of base rate fluctuations are stored in a Principal Receivable account. Principal receivable may be positive or negative and is included in the interest calculation.

The actual interest amount, then, is calculated as follows:

INTEREST RATE * (PRINCIPAL BALANCE + PRINCIPAL RECEIVABLE)

The Principal Outstanding General Ledger account is used for this method. Contract Receivable and Unearned Income are not used.

Step and skip payments may be entered for this method.

The following is a sample amortization schedule using the LT simple interest floating rate accrual method. The actual interest rate shown in the schedule consists of the base rate plus the add-on rate.

Accrual method =RLT5
Acquisition cost = $50,000.00
Yield = 15%
Payment schedule = 12 monthly payments of $4,512.92 (advance)
Commencement = January 1, 1995

 

Accrue Date

Num Dys

Act Int Rate

Actual Income

Sched Income

Int. Adjust.

Sched Principal

Principal Outstand

Payment

Pmt Due Date

             

50,000.00

   

1/95

31

15.00

636.99

625.00

11.99

3,887.92

46,112.08

4,512.92

2/95

2/95

28

15.00

530.60

576.40

-45.80

3,936.51

42,175.57

4,512.92

3/95

3/95

31

15.25

546.26

527.19

19.07

3,985.72

38,189.85

4,512.92

4/95

4/95

30

15.25

478.68

477.37

1.31

4,035.54

34,154.31

4,512.92

5/95

5/95

31

15.75

456.87

426.93

29.94

4,085.99

30,068.32

4,512.92

6/95

6/95

30

15.50

383.06

375.85

7.21

4,137.06

25,931.26

4,512.92

7/95

7/95

31

15.00

330.36

324.14

6.22

4,188.77

21,742.48

4,512.92

8/95

8/95

31

15.00

276.99

271.78

5.21

4,241.13

17,501.35

4,512.92

9/95

9/95

30

14.50

208.58

218.77

-10.19

4,294.15

13,207.20

4,512.92

10/95

10/95

31

14.25

159.84

165.09

-5.25

4,347.83

8,859.37

4,512.92

11/95

11/95

30

14.00

101.94

110.74

-8.80

4,402.17

4,457.20

4,512.92

12/95

12/95

31

14.00

53.00

55.72

-2.72

4,457.20

0.00

   
         

0.00

   

4,163.18

1/96

     

4,163.18

4,154.99

8.19

50,000.00

     

 

The VL Method

This method is characterized by variable payment amounts, which consist of a level principal amount plus calculated interest (Variable payment, Level principal). The amount of the principal portion of the payment is specified through the lease’s payment schedule. The interest is calculated by LeasePak (in advance). Since income is calculated in advance using estimated base rates, an interest adjustment is automatically performed during the next period’s accrual, if required. Also, interest may be calculated based upon a 360, 365, or actual day year.

Contract Receivable and Unearned Income General Ledger accounts are used for this method. Principal Outstanding is not used. Both the contract receivable and the unearned income original amounts are estimated at the start of the lease, based upon the base rate at lease commencement (and, assuming that there are no changes to that rate throughout the lease life).

Step, skip, and interest-only payments may be entered for this method. Interest-only payments are entered by specifying a zero principal amount in the payment schedule. Skip and non-monthly payments result in the storage of the accrued but not yet due income in the Income Receivable account; this amount is used in the next period’s income calculation (i.e., it is capitalized).

The following is a sample amortization schedule using the VL simple interest floating rate accrual method. The actual interest rate shown in the schedule consists of the base rate plus the add-on rate.

Accrual method = AVL6
Acquisition cost = $50,000.00
Yield = 15%
Payment schedule

= 3 monthly payments of $2,500.00
3 monthly payments of $4,000.00
5 monthly payments of $5,000.00
1 monthly payment of $5,500.00

Scheduled receivable = $53,931.57
Scheduled income = $3,931.57
Commencement = January 1, 1984

 

Accrue Date

Num Days

Act Int Rate

Actual Income

Scheduled Income

Scheduled Principal

Principal Outstanding

Payment

Pmt Due Date

           

47,500.00

2,500.00

1/84

1/84

31

15.00%

603.48

564.55

2,500.00

45,000.00

3,103.48

2/84

2/84

29

15.00%

534.84

571.72

2,500.00

42,500.00

3,034.84

3/84

3/84

31

15.25%

548.96

522.54

4,000.00

38,500.00

4,548.96

4/84

4/84

30

15.25%

481.25

489.14

4,000.00

34,500.00

4,481.25

5/84

5/84

31

15.75%

460.24

424.18

4,000.00

30,500.00

4,460.24

6/84

6/84

30

15.50%

387.50

387.50

5,000.00

25,500.00

5,387.50

7/84

7/84

31

15.00%

323.98

323.98

5,000.00

20,500.00

5,323.98

8/84

8/84

31

15.00%

260.45

252.05

5,000.00

15,500.00

5,260.45

9/84

9/84

30

14.50%

184.22

196.93

5,000.00

10,500.00

5,184.22

10/84

10/84

31

14.25%

126.73

129.10

5,000.00

5,500.00

5,126.73

11/84

11/84

30

14.00%

63.11

69.88

5,500.00

0.00

5,563.11

12/84

12/84

31

14.00%

0.00

0.00

0.00

0.00

0.00

 
     

3,974.76

3,931.57

50,000.00

     

 

The VV Method

This method is characterized by variable payment amounts, which consist of a variable principal amount plus calculated interest (Variable payment, Variable principal). The entire lease payment amount which yields the agreed upon rate is entered into the payment schedule for the lease. The interest is calculated by LeasePak (in advance). Since income is calculated in advance using estimated base rates, an interest adjustment is automatically performed during the next period’s accrual, if required. Also, income may be calculated based upon a 360, 365, actual day, or 30 day month/360 day year.

The actual lease payment is the amortized principal portion of the agreed upon (or, initial) payment schedule plus the actual interest calculated. Therefore, the lease payment entered in the payment schedule may not necessarily be the actual payment amount accrued and invoiced. The difference results from variances in the base rate.

Contract Receivable and Unearned Income General Ledger accounts are used for this method. Principal Outstanding is not used. Both the contract receivable and the unearned income original amounts are estimated at the start of the lease, based upon the base rate at lease commencement (and, assuming that there are no changes to that rate throughout the lease life).

Step, skip, and interest-only payments may be entered for this method. Interest-only payments are entered by specifying a zero principal amount in the payment schedule. Skip and non-monthly payments result in the storage of the accrued but not yet due income in the Income Receivable account; this amount is used in the next period’s income calculation (i.e., it is capitalized).

The following is a sample amortization schedule using the VV simple interest floating rate accrual method. The actual interest rate shown in the schedule consists of the base rate plus the add-on rate.

Accrual Method = RVVO
Acquisition Cost = $50,000.00
Yield = 15%
Payment Schedule = 12 monthly payments of $4,512.92
Scheduled Receivable = $54,155.04
Scheduled income = $4,155.04
Commencement = January 1, 1995

 

Accrue Date

Num Days

Act Int Rate

Actual Income

Scheduled Income

Scheduled Principal

Principal Outstanding

Payment

Pmt Due Date

           

50,000.00

   

1/95

31

15.00%

645.83

625.00

3,887.92

46,112.09

4533.75

2/95

2/95

28

15.00%

537.97

576.40

3,936.51

42,175.57

4474.49

3/95

3/95

31

15.25%

553.85

527.19

3,985.72

38,189.85

4539.57

4/95

4/95

30

15.25%

485.33

477.38

4,035.54

34,154.31

4520.87

5/95

5/95

31

15.75%

463.22

426.93

4,085.99

30,068.32

4549.20

6/95

6/95

30

15.50%

388.38

375.85

4,137.06

25,931.26

4525.44

7/95

7/95

31

15.00%

334.95

324.14

4,188.77

21,742.48

4523.72

8/95

8/95

31

15.00%

280.84

271.78

4,241.13

17,501.35

4521.97

9/95

9/95

30

14.50%

211.47

218.77

4,294.15

13,207.20

4505.62

10/95

10/95

31

14.25%

162.06

165.09

4,347.83

8,859.37

4509.89

11/95

11/95

30

14.00%

103.36

110.74

4,402.17

4,457.20

4505.53

12/95

12/95

31

14.00%

53.73

55.72

4,457.20

0.00

4510.93

1/96

     

4,221.00

4,154.99

50,000.00

     

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Interest Bearing Loans

The Interest Bearing Loan enhancement provides actual daily balance outstanding interest calculations under both fixed and floating rate methods. These methods differ from other LeasePak simple interest accrual methods in that adjustments to earned interest are made due to early or late receipt of payment.

Two repayment plans are available:

Generally, late charges need not be calculated, as additional interest is charged automatically if the payment is not made on its due date. However, some Interest Bearing Loans are written which allow the assessment of late charges.

For P&I methods, during the process of applying a payment interest is recalculated. For P+I methods, any recalculated interest amount greater than the billed interest amount is billed on the next invoice. Principal and interest payments must be applied in most delinquent due order. Payment reversals must be made in most recent due order.

Prepayments may be applied as credit memos or principal paydowns, or entered into suspense. Overpayment of interest may be applied as an interest credit and will be automatically applied the next time interest is billed. Interest credits are always applied to interest, never to principal.

 

Day Calculations

For each of the four IBL accrual methods (xIXx, xIFx, xAXx and xAFx), two basic day calculations are available: actual and 30-day months. Under the actual days method, all actual days elapsed are counted, including the 31st of appropriate months and the 29th of February in leap years. For example:

PERIOD (exclusive of start day)

NUMBER OF DAYS

January 27

to February 2

6

February 27

to March 2

3 (no leap year)

February 27

to March 2

4 (leap year)

March 27

to April 2

6

April 27

to May 2

5

The actual days method may be based upon a 360, 365, or 366 day year.

Under the 30-day months method, every month is considered to have 30 days (and the total number of days in the year is always 360). No interest is charged on the 31st of any month; a payment received on the 31st is treated as if it were received on the 30th. There are always five days between the 27th of one month and the 2nd of the next month, regardless of the two months in question. There are three days from February 28 to March 1. On leap years, there are two days from February 29 to March 1.

 

Interest Accrual

Interest accruals are always calculated in advance of the payment due. Interest is not charged on the day a loan starts, but is charged on the day it is paid off. Accordingly, normal monthly interest accruals accrue from the previous month’s payment due day + 1 day to the current month’s payment due day. Interest adjustments are made, as necessary, when the payment is actually received or when the next accrual occurs, whichever happens first.

Since interest accruals are performed in advance, certain assumptions must be made. These assumptions are based upon projected information. For example, assume that the current date is January 1, and that the payment due February 1 is to be accrued. The accrued interest is calculated assuming that the February 1 payment will be paid on February 1. In other words, the

accrued interest is for the period January 2 through February 1, and is calculated based upon the current principal balance outstanding. If the loan is floating on a specified base rate, the interest accrued also assumes that the projected base rates for the January 2 - February 1 period will be the actual rates. If any of these assumptions do not hold true, the interest accrued (on January 1) must be adjusted.The adjustment is added to interest on the next invoice accrued after the adjustment is calculated.

If any portion of interest remains unpaid, the invoice remains open. The full amount invoiced, principal and interest, must be paid before an invoice is closed.

Note: In earlier releases of LeasePak, before version 2.1a, all interest through the effective date of the payment had to be paid before any principal could be paid. Interest adjustments were created for the interest due between the due date and the effective date of the payment. These adjustments would zero the interest on all invoices due between the oldest outstanding invoice and the effective date of the payment, whether or not the entire amount of interest was actually received.

With version 2.1a and above, interest on unpaid principal is calculated and billed the next time a new invoice accrues. Fewer adjustments to previous invoices are necessary. Also with version 2.1a, the entire amount invoiced must be paid before an invoice is closed.

If an interest credit exists, it will be applied automatically against future interest billings. Interest credits are always applied to interest, never to principal.

 

Fixed Rate Interest Accrual Calculation

Interest is calculated monthly in advance, during the normal accrual process. It is also calculated (or recalculated) each time the principal balance changes (e.g., payments made or reversed, mid-term changes, or payoffs/ terminations).

The interest accrual calculation for fixed rate contracts is as follows:

PRINCIPAL BALANCE * (ANNUAL RATE / DAYS IN YEAR) * DAYS

PRINCIPAL BALANCE is the current principal balance of the loan as shown in the principal balance list.

ANNUAL RATE is the interest rate stated in the loan agreement and entered as the rate during New Lease Booking.

DAYS IN YEAR is the contractual year base stated in the loan agreement and entered as part of the accrual method. It may be fixed at 360, 365, or be the actual number of days in the year (365 or 366).

DAYS is the number of days of the period from the last payment or accrual to the current date. For 30/360 accrual methods, the number of days in the month is fixed at 30. For all other methods, the actual number of days between the begin date to the end date of the accrual period should be used.

 

Floating Rate Interest Accrual Calculation

Interest is calculated monthly in advance, during the normal accrual process. It is also calculated (or recalculated) each time the principal balance changes (e.g., payments made or reversed, mid-term changes, or payoffs/ terminations).

The following interest accrual calculation for floating rate contracts is performed for each day in the accrual period. This repetition of the interest calculation for each day in the accrual period effectively is performing a daily interest calculation. Therefore, base rate changes during the period are automatically taken into account.

PRINCIPAL BALANCE * (BASE RATE + ADD-ON) / DAYS IN YEAR

PRINCIPAL BALANCE is the current principal balance of the loan as shown in the principal balance list.

BASE RATE is the annual rate on which the loan is floating, as stated in the loan agreement and entered during the New Lease Booking update [U0101]. Loan agreements may have different base rates.

ADD-ON is the number of basis points over or under the BASE RATE, as stated in the loan agreement and entered during the New Lease Booking

[U0101]. BASE RATE + ADD-ON represents the actual interest rate for the loan for the day. A maximum and/or minimum annual rate may be specified for each loan during the New Lease Booking [U0101].

DAYS IN YEAR is the contractual year base stated in the loan agreement and entered as part of the accrual method. It may be fixed at 360, 365, or be the actual number of days in the year (365 or 366).

 

Interest Bearing Loan Methods: Principal plus Interest (P+I), Fixed Rate

AIX0 Advance; actual over 360

AIX5 Advance; actual over 365

AIX6 Advance; actual over actual

AIXE Advance; 30 over 360

RIX0 Arrears; actual over 360

RIX5 Arrears; actual over 365

RIX6 Arrears; actual over actual

RIXE Arrears; 30 over 360

 

The scheduled principal amount of the payment only is entered into the payment schedule during New Lease Booking [U0101]. Step, skip, and zero (interest- only) payments are entered as normal. The actual amount due is the scheduled principal amount plus the calculated interest (including the effects of early or late receipt of payments due). No payment – principal or interest –is due for a skip payment.

The following is a sample amortization schedule using Principal plus Interest fixed actual/365 (AIX5) accrual method.

 

 

Interest Bearing Loan Methods: Principal and Interest (P&I), Fixed Rate

AAX0 Advance; actual over 360

AAX5 Advance; actual over 365

AAX6 Advance; actual over actual

AAXE Advance; 30 over 360

RAX0 Arrears; actual over 360

RAX5 Arrears; actual over 365

RAX6 Arrears; actual over actual

RAXE Arrears; 30 over 360

 

The scheduled full payment amount (principal and interest) is entered into the payment schedule for the lease during New Lease Booking [U0101]. Step and skip payments are entered as normal. No payment – principal or interest – is due for a skip payment. Interest-only payments are not allowed for this method.

The following is a sample amortization schedule using Principal and Interest fixed 30/360 (AAXE) accrual method.

Outstanding Principal Balance = $10,000
Rate = 12% (fixed)
Payment Schedule = 12 monthly payments of $879.69 (advance)
Commencement = December 15, 1995

 

Date

#

Int Rate

Prin Bal

Int

Prin

Pmt Due Date

Pmt Recd Date

Intr Paid

Prin Paid

New Prin Bal

12/95

30

 

10,000.00

 

879.69

12/15

12/15

 

879.69

9,120.31

01/96

30

12%

9,120.31

91.20

788.49

01/15

01/15

91.20

788.49

8,331.82

02/96

30

12%

8,331.82

83.32

796.37

02/15

02/15

83.32

796.37

7,535.45

03/96

30

12%

7,535.45

75.35

804.34

03/15

03/15

75.35

804.34

6,731.11

04/96

30

12%

6,731.11

67.31

812.38

04/15

04/15

67.31

812.38

5,918.73

05/96

30

12%

5,918.73

59.19

820.50

05/15

05/15

59.19

820.50

5,098.23

06/96

30

12%

5,098.23

50.98

828.71

06/15

06/15

50.98

828.71

4,269.52

07/96

30

12%

4,269.52

42.70

836.99

07/15

07/15

42.70

836.99

3,432.53

08/96

30

12%

3,432.53

34.33

845.36

08/15

08/15

34.33

845.36

2,587.17

09/96

30

12%

2,587.17

25.87

853.82

09/15

09/15

25.87

853.82

1,733.35

10/96

30

12%

1,733.35

17.33

862.36

10/15

10/15

17.33

862.36

870.99

11/96

30

12%

870.99

8.71

870.99

11/15

11/15

8.71

870.99

0

       

556.29

10000.00

   

556.29

10000.00

 

 

Interest Bearing Loan Methods: Principal plus Interest (P+I), Floating Rate

AIF0 Advance; actual over 360

AIF5 Advance; actual over 365

AIF6 Advance; actual over actual

AIFE Advance; 30 over 360

RIF0 Arrears; actual over 360

RIF5 Arrears; actual over 365

RIF6 Arrears; actual over actual

RIFE Arrears; 30 over 360

 

The scheduled principal amount of the payment only is entered into the payment schedule during New Lease Booking [U0101]. Step, skip, and zero (interest- only) payments are entered as normal. The actual amount due is the scheduled

principal amount plus the calculated interest (including the effects of early or late receipt of payments due). No payment – principal or interest – is due for a skip payment.

The following is a sample amortization schedule using Principal plus Interest floating actual/actual (RIF6) accrual method.

Outstanding Principal Balance = $10,000.00
Rate = 12% (floating)
Payment Schedule = 12 principal payments of $833.33 (arrears)
Commencement = December 30, 1995

 

Date

#

Int Rate

Prin Bal

Int

Prin

Pmt Due Date

Pmt Recd Date

Intr Paid

Prin Paid

New Prin Bal

01/96

31

12.0

10,000.00

101.92

833.33

01/30

01/30

101.92

833.33

9,166.67

02/96

29

12.0

9,166.67

87.40

833.33

02/28

02/28

87.40

833.33

8,333.34

03/96

30

12.0

8,333.34

82.19

833.33

03/30

03/30

82.19

833.33

7,500.01

04/96

31

12.0

7,500.01

76.44

833.33

04/30

05/01

78.91

830.86

6,669.15

05/96

29

12.0

6,669.15

63.56

833.33

05/30

05/30

63.56

835.80

5,833.35

06/96

31

12.0

5,833.35

59.45

833.33

06/30

06/30

59.45

833.33

5,000.02

07/96

30

12.0

5,000.02

49.32

833.33

07/30

07/30

49.32

833.33

4,166.69

08/96

31

12.0

4,166.69

42.47

833.33

08/30

08/30

42.47

833.33

3,333.36

09/96

31

12.0

3,333.36

33.97

833.33

09/30

09/30

33.97

833.33

2,500.03

10/96

30

12.0

2,500.03

24.66

833.33

10/30

10/30

24.66

833.33

1,666.70

11/96

31

12.0

1,666.70

16.99

833.33

11/30

11/30

16.99

833.33

833.37

12/96

30

12.0

833.37

8.22

833.33

12/30

12/30

8.22

833.33

0

       

646.59

10000.00

   

649.06

10000.00

 

 

Interest Bearing Loan Methods: Principal and Interest (P&I), Floating Rate

AAF0 Advance; actual over 360

AAF5 Advance; actual over 365

AAF6 Advance; actual over actual

AAFE Advance; 30 over 360

RAF0 Arrears; actual over 360

RAF5 Arrears; actual over 365

RAF6 Arrears; actual over actual

RAFE Arrears; 30 over 360

 

The scheduled full payment amount (principal and interest) is entered into the payment schedule for the lease during New Lease Booking [U0101]. Step and skip payments are entered as normal. No payment - principal or interest - is due for a skip payment. Interest-only payments are not allowed for this method.

The following is a sample amortization schedule using Principal and Interest floating actual/360 (RAF0) accrual method.

Outstanding Principal Balance = $10,000
Rate = floating
Payment Schedule = 12 monthly payments of $900.00 (arrears)
Commencement = December 30, 1995

 

 

Capitalized Daily Interest

A 1993 JULE Fund enhancement created a switch at the lease level which allows interest to be capitalized during SKIP payments. The switch appears on Book Lease or Application screens only if the accrual type indicates an interest bearing loan. If the switch is set to Y, interest which would normally accrue for a skip period is added to the principal. A principal write-up automatically occurs, effective on the due date of the skip.

Note: As a principal adjustment will be recorded effective one month in the future, no other principal changes may be posted prior to this date. This includes overpayments with a principal write-down component, but not straight payments. If a principal adjustment becomes necessary, accruals must be reversed, the adjustment made, then the loan re-accrued.

 

Following is a sample amortization schedule using Principal plus Interest floating Actual/365 (AIF5) accrual method. This version uses the interest only option:

Outstanding Principal Balance = $5,000
Rate = 12% (floating)
Payment Schedule = Interest only, 12 months alternating skips
Commencement = December 1, 1989

 

Date

#

Int Rate

Prin Bal

Int Due

Prin Due

Pmt Due Date

Pmt Recd Date

Intr Paid

Prin Paid

New Prin Bal

01/89

31

12.0

5,000.00

50.96

 

01/01

01/01

50.96

 

5,000.00

02/89

31

12.0

5,000.00

50.96

 

02/01

02/01

SKIP

 

5,000.00

03/89

28

12.5

5,000.00

47.95

 

03/01

03/05

98.91

 

5,000.00

04/89

31

12.5

5,000.00

53.08

 

04/01

04/01

SKIP

 

5,000.00

05/89

30

13.0

5,000.00

53.43

 

05/01

05/01

106.51

 

5,000.00

06/89

31

13.0

5,000.00

55.21

 

06/01

06/01

SKIP

 

5,000.00

07/89

30

13.0

5,000.00

53.43

 

07/01

07/01

108.64

 

5,000.00

08/89

31

13.0

5,000.00

55.21

 

08/01

08/01

SKIP

 

5,000.00

09/89

31

13.0

5,000.00

55.21

 

09/01

09/01

110.42

 

5,000.00

10/89

30

13.0

5,000.00

53.43

 

10/01

10/01

SKIP

 

5,000.00

11/89

31

13.0

5,000.00

55.21

 

11/01

11/01

108.64

 

5,000.00

12/89

30

13.0

5,000.00

53.43

5,000.00

12/01

12/01

53.43

5,000.00

0

       

637.51

5,000.00

   

637.51

5,000.00

 

 

The year’s payment schedule calls for 7 monthly interest-only payments and 5 skips. With the CAPITALIZE INTEREST switch set to Y, every other month a principal write-up is performed effective on the payment due date. For example, on 9/1, the 10/1 skip is accrued. Instead of holding the $53.43 and billing it on the 11/1 invoice, a principal write-up will occur and generate the following G/L transactions:

GENERAL LEDGER ACCOUNT

AMOUNT

CR

Lessor Income - Simple (6081)

INTEREST ($53.43)

DR

Lease Income Receivable (1005)

 
     

CR

Lease Income Receivable (1005)

PRINCIPAL ADJ ($53.43)

DR

Principal Outstanding (1023)

 

 

 

 



Note: The Lease Income Receivable account applies to both leases and loans; it can either represent lease income or loan interest.

 

The model amortization will now look like this:

Date

#

Int Rate

Prin Bal

Int Due

Prin Due

Pmt Due Date

Pmt Recd Date

Intr Paid

Prin Paid

New Prin Bal

01/89

31

12.0

5,000.00

50.96

 

01/01

01/01

50.96

 

5,000.00

02/89

31

12.0

5,000.00

50.96

 

02/01

02/01

SKIP

 

5,050.96

03/89

28

12.5

5,050.96

48.43

 

03/01

03/05

48.43

 

5,050.96

04/89

31

12.5

5,050.96

53.62

 

04/01

04/01

SKIP

 

5,104.58

05/89

30

13.0

5,104.58

54.54

 

05/01

05/01

54.54

 

5.104.58

06/89

31

13.0

5,104.58

56.36

 

06/01

06/01

SKIP

 

5,160.94

07/89

30

13.0

5,160.94

55.14

 

07/01

07/01

55.14

 

5,160.94

08/89

31

13.0

5,160.94

56.98

 

08/01

08/01

SKIP

 

5,217.92

09/89

31

13.0

5,217.92

57.61

 

09/01

09/01

57.61

 

5,217.92

10/89

30

13.0

5,217.92

55.75

 

10/01

10/01

SKIP

 

5,273.67

11/89

31

13.0

5,273.67

58.23

 

11/01

11/01

58.23

 

5,273.67

12/89

30

13.0

5,273.67

56.35

5,000.00

12/01

12/01

56.35

5,273.67

0

       

654.93

5,000.00

   

381.26

5,273.67

 

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Residual

The Residual accrual method codes are:

The residual accrual method may be used for leases extended past their original maturity. Income may be recognized on either a cash or an accrual basis. A default is entered on the Portfolio update [U0212MO], Modules customization screen. The default, C(ash) or A(ccrual), appears on the Lease Extension [U0108] screen, and may be overridden for an individual lease.

The Lease Extension [U0108] update has been modified to include three new accrual methods:

*REP can only be used if the lease is a pre-computed lease prior to the extension
*REO can only be used if the lease is an operating lease prior to the extension
*REI can only be use if the lease is a simple interest lease prior to the extension.

These new accrual methods will work similar to the ARES/RRES accrual method, but will only be used with Income on a Cash Basis. Additionally, month to month payment schedules are also supported by these accrual methods. For more detailed information pertaining to these three new accrual methods refer to the Lease Extension [U0108] update.

With the accrual option, as lease payments are billed and accrued after the lease has been extended, unguaranteed residual is reduced to zero before any residual income is recognized. Once unguaranteed residual is zero, any amount billed and accrued will be considered residual income.

With the cash option, residual reduction and residual income are not recognized until cash has actually been received and applied to an open invoice. LeasePak accrues amounts billed into two holding accounts; Deferred Residual Reduction and Deferred Extension Income. Deferred Residual Reduction represents the reduction to unguaranteed residual which has been billed but not yet paid. Deferred Extension Income represents billed but unpaid amounts on extended leases in excess of the unguaranteed residual.

As these two G/L accounts are updated, detail fields are stored on the Master Financial Lease record (DLS). This allows reconciliation of the General Ledger Balances [R0406], General Ledger Reconciliation [R0403] and the Accounts Receivable Balancing [R0404] reports. The [R0403] will reconcile these two accounts and the [R0404] will tie to the [R0406] at the office level.

This extension method allows either a month-to-month extension or an extension for a specific term. A month-to-month extension continues accruing and invoicing indefinitely, until the lease is terminated of paid off.

The following is a sample amortization schedule using the Residual accrual method for an extended lease.

Starting residual value = $1,000.00
Payment schedule = 12 monthly payments of $110.00
Commencement = January 1, 1995

 

Date

Residual Reduction

Income

Residual

     

1,000.00

1/95

110.00

0.00

890.00

2/95

110.00

0.00

780.00

3/95

110.00

0.00

670.00

4/95

110.00

0.00

560.00

5/95

110.00

0.00

450.00

6/95

110.00

0.00

340.00

7/95

110.00

0.00

230.00

8/95

110.00

0.00

120.00

9/95

110.00

0.00

10.00

10/95

10.00

100.00

0.00

11/95

0.00

110.00

0.00

12/95

0.00

110.00

0.00

 

1,000.00

320.00

 

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Operating Straight Line

The Operating Straight Line accrual method code list consists of:

The Operating Straight Line accrual method earns income in equal monthly increments over the term of the lease. Each month’s operating income is calculated as follows:

OPERATING INCOME = TOTAL PAYMENTS / TERM (MONTHS)

If the actual payment is different from the average monthly payment calculated above, the amount of the difference is recorded as unbilled operating

lease income. Unbilled operating income always becomes zero at the end of the lease.

The following is a sample amortization schedule for the AOSL accrual method:

Payment Schedule = 2 monthly payments of $1,000
2 monthly payments of $3,000
2 monthly payments of $2,000
Scheduled Receivable = $12,000
Scheduled Income = $12,000
Average Monthly Pmt = $2,000
Commencement = January 1, 1996

 

Accrual Date

Lease Payments Receivable

Deferred OP Lease Revenue

Unbilled OP Lease Income

Operating Lease Income

Payment Due Date

BOOK

1,000.00

1,000.00

   

1/96

1/96

1,000.00

 

1,000.00

2,000.00

2/96

2/96

3,000.00

2,000.00

1,000.00

2,000.00

3/96

3/96

3,000.00

 

-1,000.00

2,000.00

4/96

4/96

2,000.00

-1,000.00

-1,000.00

2,000.00

5/96

5/96

2,000.00

   

2,000.00

6/96

6/96

 

-2,000.00

 

2,000.00

 

 

The following is a sample amortization schedule for the ROSL accrual method:

Payment Schedule

= 3 monthly payments of $200
3 monthly payments of $400

Scheduled Receivable = $1,800
Scheduled Income = $1,800
Average Monthly Pmt = $300
Commencement = January 1, 1996

 

Accrual Date

Lease Payments Receivable

Deferred OP Lease Revenue

Unbilled OP Lease Income

Operating Lease Income

Payment Due Date

Book

         

1/96

200.00

 

100.00

300.00

1/96

2/96

200.00

 

100.00

300.00

2/96

3/96

200.00

 

100.00

300.00

3/96

4/96

400.00

 

-100.00

300.00

4/96

5/96

400.00

 

-100.00

300.00

5/96

6/96

400.00

 

-100.00

300.00

6/96

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Operating Payments

The Operating Payments accrual method code list consists of:

The Operating Payments accrual method earns the full payment amount as operating income as it becomes due. For example, if the lease has a stepped payment schedule, the payment amount is recognized as income, not an average monthly amount as in the operating straight line method.

If the lease is a month-to-month operating lease, i.e., an operating lease without a fixed maturity date, the operating payments accrual method is the only method that may be used.

The following is a sample amortization schedule for the AOPM accrual method:

Accrual Method = AOPM
Payment Schedule

= 3 monthly payments of $200
3 monthly payments of $300

Scheduled Receivable = $1,500
Scheduled Income = $1,500
Commencement = January 1, 1996

 

Accrual Date

Lease Payments Receivable

Deferred OP Lease Revenue

Operating Lease Income

Payment Due Date

Book

200.00

200.00

 

1/96

1/96

200.00

 

200.00

2/96

2/96

200.00

 

200.00

3/96

3/96

300.00

100.00

200.00

4/96

4/96

300.00

 

300.00

5/96

5/96

300.00

 

300.00

6/96

6/96

 

-300.00

300.00

 

 

The following is a sample amortization schedule for the ROPM accrual method:

Payment Schedule

= 3 monthly payments of $300
3 monthly payments of $200

Scheduled Receivable = $1,500
Scheduled Income = $1,500
Commencement = January 1, 1996

 

Accrual Date

Lease Payments Receivable

Unbilled OP Lease Revenue

Operating Lease Income

Payment Due Date

BOOK

       

1/96

300.00

-300.00

 

2/96

2/96

300.00

 

300.00

3/96

3/96

300.00

 

300.00

4/96

4/96

200.00

100.00

300.00

5/96

5/96

200.00

 

200.00

6/96

6/96

200.00

 

200.00

7/96

7/96

 

200.00

200.00

 

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Variable Rate Operating Lease

The Variable Rate Operating Lease accrual method codes are:

These accrual methods accrue income much like the VV floating simple interest methods. Payments consist of principal, interest and interest adjustments based on a floating rate index. The entire payment amount which results in the agreed upon yield is entered into the payment schedule for the lease. Since income is calculated at the beginning of the lease term using estimated base rates, an interest adjustment is automatically performed during each period’s accrual, if required. Income is calculated based on a 30 day month/360 day year.

The actual lease payment is the amortized principal portion of the initial payment schedule plus the actual interest calculated. The lease payment entered into the payment schedule may differ from the amount accrued and invoiced, due to variances in the base rate.

Step and non-monthly payments may be entered for these methods. Skip payments may be entered when the payment frequency remains constant, but are not allowed when frequency varies (e.g., monthly to quarterly).

The following is a sample amortization schedule using the OV variable rate operating lease accrual method.

Accrual method = ROVE
Acquisition cost = $50,000.00
Yield = 15%
Payment schedule = 12 monthly payments of $4,512.92
Scheduled receivable = $54,155.04
Scheduled income = $4,155.04
Commencement = January 1, 1995

 

Accrue Date

Num Days

Act Int Rate

Actual Income

Scheduled Income

Scheduled Principal

Principal Outstanding

Payment

Pmt Due Date

           

50,000.00

   

1/95

30

15.00%

645.83

625.01

3,887.91

46,112.09

4,533.74

2/95

2/95

30

15.00%

537.97

576.41

3,936.51

42,175.58

3,064.55

3/95

3/95

30

15.25%

553.85

527.20

3,985.72

38,189.86

3,081.25

4/95

4/95

30

15.25%

485.33

477.38

4,035.54

34,154.32

4,531.25

5/95

5/95

30

15.75%

463.22

426.93

4,085.99

30,068.33

4,513.60

6/95

6/95

30

15.50%

388.38

375.86

4,137.06

25,931.27

4,438.32

7/95

7/95

30

15.00%

334.95

324.14

4,188.78

21,742.49

5,387.50

8/95

8/95

30

15.00%

280.84

271.78

4,241.14

17,501.35

5,323.98

9/95

9/95

30

14.50%

211.47

218.77

4,294.15

13,207.20

5,184.22

10/95

10/95

30

14.25%

162.06

165.09

4,347.83

8,859.37

5,187.08

11/95

11/95

30

14.00%

103.36

110.74

4,402.18

4,457.19

5,120.49

12/95

12/95

30

14.00%

53.73

55.73

4,457.19

0.00

5,565.22

1/96

     

4,220.99

4,155.04

50,000.00

     

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

ITC Accrual

Investment Tax Credit income can be accrued using three methods:

The Proportional method is only valid if the asset is on lease. ITC income on off lease assets is always accrued using the Straight Line method. The calculations are outlined below:

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Notes Payable Accrual Methods

The Notes Payable enhancement provides actual daily balance outstanding interest calculations under both fixed and floating rate methods. Three repayment plans are available:

 

Day Calculations

For each of the four accrual methods, two basic day calculations are available: actual and 30-day months. Under the actual days method, all actual days elapsed are counted, including the 31st of appropriate months and the 29th of February in leap years. For example:

Period (exclusive of start day)

Number of Days

January 27

to February 2

6

February 27

to March 2

3 (no leap year)

February 27

to March 2

4 (leap year)

March 27

to April 2

6

April 27

to May 2

5

 

The actual days method may be based upon a 360, 365, or 366 day year.

Under the 30-day months method, every month is considered to have 30 days (and the total number of days in the year is always 360). No interest is charged on the 31st of any month; a payment received on the 31st is treated

as if it were received on the 30th. There are always five days between the 27th of one month and the 2nd of the next month, regardless of the two months in question. For example:

Period (exclusive of start day)

Number of Days

January 27

to February 2

5

February 27

to March 2

5

March 27

to April 2

5

April 27

to May 2

5

 

There are three days from February 28 to March 1. On leap years, there are two days from February 29 to March 1.

 

Interest Accrual

Interest accruals are always calculated in advance of the payment due. Interest is not charged on the day the notes payable starts, but is charged on the day it is paid off. Accordingly, normal monthly interest accruals accrue from the previous month’s payment due day + 1 day to the current month’s payment due day. Interest adjustments are made, as necessary, when the payment is actually received or when the next accrual occurs, whichever happens first.

Since interest accruals are performed in advance, certain assumptions must be made. These assumptions are based upon projected information. For example, assume that the current date is January 1, and that the payment due February 1 is to be accrued. The accrued interest is calculated assuming that the February 1 payment will be paid on February 1. In other words, the accrued interest is for the period January 2 through February 1, and is calculated based upon the current principal balance outstanding. If the notes payable is floating on a specified base rate, the interest accrued also assumes that the projected base rates for the January 2 - February 1 period will be the actual rates. If any of these assumptions do not hold true, the interest accrued (on January 1) must be adjusted.

 

Fixed Rate Interest Accrual Calculation

Interest is calculated monthly in advance, during the normal accrual process. It is also calculated (or recalculated) each time the principal balance changes (e.g., payments made or reversed, mid-term changes, or payoffs or payoff reversals).

The interest accrual calculation for fixed rate contracts is as follows:

PRINCIPAL BALANCE * (ANNUAL RATE / DAYS IN YEAR) * DAYS

PRINCIPAL BALANCE is the current principal balance of the notes payable as shown in the principal balance list.

ANNUAL RATE is the interest rate stated in the notes payable agreement and entered as the rate during the Book New Note update [U0901].

DAYS IN YEAR is the contractual year base stated in the notes payable agreement and entered as part of the accrual method. It may be fixed at 360, 365, or be the actual number of days in the year (365 or 366).

DAYS is the number of days of the period from the last payment or accrual to the current date. For 30/360 accrual methods, the number of days in the month is fixed at 30. For all other methods, the actual number of days between the begin date to the end date of the accrual period should be used.

 

Floating Rate Interest Accrual Calculation

Interest is calculated monthly in advance, during the normal accrual process. It is also calculated (or recalculated) each time the principal balance changes (e.g., payments made or reversed, mid-term changes, or payoffs or payoff reversals).

The following interest accrual calculation for floating rate contracts is performed for each day in the accrual period. This repetition of the interest calculation for each day in the accrual period effectively is performing a daily interest calculation. Therefore, base rate changes during the period are automatically taken into account.

PRINCIPAL BALANCE * (BASE RATE + ADD-ON) / DAYS IN YEAR

PRINCIPAL BALANCE is the current principal balance of the notes payable as shown in the principal balance list.

BASE RATE is the annual rate on which the notes payable is floating, as stated in the notes payable agreement and entered during the Book New Note update [U0901]. Notes Payable agreements may have different base rates.

ADD-ON is the number of basis points over or under the BASE RATE, as stated in the notes payable agreement and entered during the Book New Note update [U0901]. BASE RATE + ADD-ON represents the actual interest rate for the notes payable for the day. A maximum and/or minimum annual rate may be specified for each notes payable during the Book New Note update [U0901].

DAYS IN YEAR is the contractual year base stated in the notes payable agreement and entered as part of the accrual method. It may be fixed at 360, 365, or be the actual number of days in the year (365 or 366).

 

Notes Payable Accrual Methods: Principal and Interest (P&I)

RAF0 Floating rate Arrears; actual over 360

RAF5 Floating rate Arrears; actual over 365

RAF6 Floating rate Arrears; actual over actual

RAFE Floating rate Arrears; 30 over 360

RAX0 Fixed rate Arrears; actual over 360

RAX5 Fixed rate Arrears; actual over 365

RAX6 Fixed rate Arrears; actual over actual

RAXE Fixed rate Arrears; 30 over 360

 

The scheduled full payment amount (principal and interest) is entered into the payment schedule for the lease during New Lease Booking [U0101]. Step and skip payments are entered as normal. No payment – principal or interest – is due for a skip payment. Interest-only payments are not allowed for this method.

The following is a sample amortization schedule using Principal and Interest floating actual/360 (RAF0) accrual method.

Outstanding Principal Balance = $10,000
Rate = floating
Payment Schedule = 12 monthly payments of $900.00 (arrears)
Commencement = December 30, 1989

 

Date

#

Int Rate

Prin Bal

Int

Prin

Pmt Due Date

Pmt Recd Date

Intr Paid

Prin Paid

New Prin Bal

01/90

31

12.0

10,000.00

103.33

796.67

01/30

01/30

103.33

796.67

9,203.33

02/90

29

12.0

9,203.33

88.97

811.03

02/28

02/28

88.97

811.03

8,392.30

03/90

30

12.0

8,329.03

83.92

816.08

03/30

03/30

83.92

816.08

7,576.22

04/90

31

12.0

7,576.22

78.29

821.71

04/30

04/30

78.29

821.71

6,754.51

05/90

30

12.0

6,754.51

67.55

832.45

05/30

05/30

67.55

832.45

5,922.05

06/90

31

12.5

5,922.05

63.74

836.26

06/30

06/30

63.74

836.26

5,085.80

07/90

30

12.5

5,085.80

52.98

847.02

07/30

07/30

52.98

847.02

4,238.78

08/90

31

12.5

4,238.78

45.63

854.37

08/30

08/30

45.63

854.37

3,384.40

09/90

31

12.5

3,384.40

36.43

863.57

09/30

09/30

36.43

863.57

2,520.83

10/90

30

12.5

2,520.83

26.26

873.74

10/30

10/30

26.26

873.74

1,647.09

11/90

31

12.5

1,647.09

17.73

882.27

11/30

11/30

17.73

882.27

764.82

12/90

30

12.5

764.82

7.97

764.82

12/30

12/30

7.97

765.14

0

       

672.79

10000.00

   

672.79

10000.00

 

 

Notes Payable Accrual Methods: Principal plus Interest (P+I)

RPF0 Floating rate Arrears; actual over 360

RPF5 Floating rate Arrears; actual over 365

RPF6 Floating rate Arrears; actual over actual

RPFE Floating rate Arrears; 30 over 360

RPX0 Fixed rate Arrears; actual over 360

RPX5 Fixed rate Arrears; actual over 365

RPX6 Fixed rate Arrears; actual over actual

RPXE Fixed rate Arrears; 30 over 360

 

The scheduled principal amount of the payment only is entered into the payment schedule during Book New Note [U0901]. Step, skip, and zero (interest-only) payments are entered as normal. The actual amount due is the scheduled principal amount plus the calculated interest (including the effects of early or late receipt of payments due). No payment – principal or interest – is due for a skip payment.

The following is a sample amortization schedule using Principal plus Interest fixed rate actual/365 (RPX5) accrual method.

Outstanding Principal Balance = $10,000
Rate = 12% (fixed)
Payment Schedule = 11 principal payments of $833.33 (arrears)
1 principal payment of $833.37 (arrears)
Commencement = December 30, 1989

 

Date

#

Int Rate

Prin Bal

Int

Prin

Pmt Due Date

Pmt Recd Date

Intr Paid

Prin Paid

New Prin Bal

01/90

31

12.0

10,000.00

101.92

833.33

01/30

01/30

101.92

833.33

9,166.67

02/90

29

12.0

9,166.67

87.40

833.33

02/28

02/28

87.40

833.33

8,333.34

03/90

30

12.0

8,333.34

82.19

833.33

03/30

03/30

82.19

833.33

7,500.01

04/90

31

12.0

7,500.01

76.44

833.33

04/30

04/30

76.44

833.33

6,669.15

05/90

30

12.0

6,669.15

65.75

833.33

05/30

05/30

65.75

833.33

5,833.35

06/90

31

12.0

5,833.35

59.45

833.33

06/30

06/30

59.45

833.33

5,000.02

07/90

30

12.0

5,000.02

49.32

833.33

07/30

07/30

49.32

833.33

4,166.69

08/90

31

12.0

4,166.69

42.47

833.33

08/30

08/30

42.47

833.33

3,333.36

09/90

31

12.0

3,333.36

33.97

833.33

09/30

09/30

33.97

833.33

2,500.03

10/90

30

12.0

2,500.03

24.66

833.33

10/30

10/30

24.66

833.33

1,666.70

11/90

31

12.0

1,666.70

16.99

833.33

11/30

11/30

16.99

833.33

833.37

12/90

30

12.0

833.37

8.22

833.37

12/30

12/30

8.22

833.37

0

   

648.77

10000.00

   

648.77

10000.00

 

 

Notes Payable Accrual Methods: Interest Only

RIF0 Floating rate Arrears; actual over 360

RIF5 Floating rate Arrears; actual over 365

RIF6 Floating rate Arrears; actual over actual

RIFE Floating rate Arrears; 30 over 360

RIX0 Fixed rate Arrears; actual over 360

RIX5 Fixed rate Arrears; actual over 365

RIX6 Fixed rate Arrears; actual over actual

RIXE Fixed rate Arrears; 30 over 360

 

This plan calls for the periodic repayment of accrued interest. The payment schedule consists of zero payment amounts only. Payments due include only the accrued interest.

The following is a sample amortization schedule using Interest Only floating actual over actual (RIF6) accrual method.

Outstanding Principal Balance = $10,000
Rate = 12% (floating)
Payment Schedule = 12 monthly payments (arrears)
Commencement = December 30, 1989

 

Date

# Days

Int Rate

Principal Balance

Int

Pmt Due Date

Pmt Recd Date

Int Paid

01/90

31

12.0%

10,000.00

101.92

01/30

01/30

101.92

02/90

29

12.0%

10,000.00

95.43

02/28

02/28

95.43

03/90

30

12.0%

10,000.00

98.63

03/30

03/30

98.63

04/90

31

12.0%

10,000.00

101.92

04/30

04/30

101.92

05/90

30

12.0%

10,000.00

98.63

05/30

05/30

98.63

06/90

31

12.0%

10,000.00

101.92

06/30

06/30

101.92

07/90

30

12.5%

10,000.00

102.74

07/30

07/30

102.74

08/90

31

12.5%

10,000.00

106.16

08/30

08/30

106.16

09/90

31

12.5%

10,000.00

106.16

09/30

09/30

106.16

10/90

30

12.5%

10,000.00

102.74

10/30

10/30

102.74

11/90

31

12.5%

10,000.00

106.16

11/30

11/30

106.16

12/90

30

12.5%

10,000.00

102.74

12/30

12/30

102.74

       

1225.07

   

1225.07

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Late Charges

Late charges are assessments charged to the lessee if a payment is not applied within a specified grace period following the payment’s due date.

Late charges are automatically assessed by LeasePak during the normal income accrual process. Late charges are not assessed for a lease until accruals are run. A flag is set during end of period accruals to designate the lease as a potential candidate for late charges. In addition to running accruals, invoicing and invoice formatting must be run during end of period. The rationale is that late charges cannot be assessed until after the customer receives and has a chance to pay the initial invoice.

It follows that for a new lease, late charges are not calculated until at least one month after the lease is booked, even if a back dated commencement date is chosen.

Late charges may also be assessed or waived manually through the Assessment update [U0105]. The number of times late charges have been waived and the accumulated dollar amount waived are displayed on the Lease Inquiry report [R0905] for each lease.

Non-Pyramiding late charges can be assessed or not; based on charges applied to the previous months invoice. A flag in the RLS table, "Previous Late Charge (Y/N)", will allow assessments to be charged on delinquent invoices when the flag is set to "Y", this flag is automatically set during End of Period processes. Valid non-pyramiding supported methods are: FIX, PERC, PMAX, PMIN, PMNX.

Late charges are influenced by parameters established for portfolio and lease form code, as well as the LATE CHARGE METHOD for a given lease.

On Portfolio maintenance [U0212], Miscellaneous Customizations, three fields affect late charges:

GRACE PERIOD IN DAYS
Maximum number of days beyond due date until late charges are assessed for any lease in the portfolio. Determines the group of leases to accrue and invoice during end of day processing. This allows late charges to be calculated and assessed for all leases in the portfolio during accrual. For more information, see the field description in Portfolio maintenance [U0212].

ASSESS LATE CHARGES TO LEASES LESS THAN 60 DAYS OLD
If coded Y, late charges will be calculated for a lease during the first monthly accrual after the lease is booked. If coded N, late charges will not be calculated for the first two monthly accruals after the lease is booked.

GRACE AMOUNT
Minimum delinquent amount on which late charges should be assessed (Note that the LATE CHARGE GRACE AMOUNT on [U0721] is the minimum amount of calculated late charge which will be assessed.)

When Lease Form codes are established on [U0721], data is entered in some or all of the following fields to affect late charge defaults:

LATE CHARGE METHOD

LATE CHARGE PERCENTAGE

MINIMUM CHARGE

MAXIMUM CHARGE

FIXED CHARGE

PLACE LATE CHARGE ON DELINQUENT INVOICE (Y/N)

LATE CHARGE GRACE AMOUNT

GRACE DAYS (GFxx methods only)

PROPERTY TAX LATE CHARGE METHOD

PROPERTY TAX LATE CHARGE PERCENTAGE

INCLUDE ASSESSMENTS IN LATE CHARGE CALC (Y/N)

For descriptions of each field, refer to the LATE CHARGE INFORMATION screen of Lease Form Codes [U0721].

Fifteen LATE CHARGE METHOD codes are available for Lease Form codes and for individual leases:

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Payoff Methods

When terminating or paying off a lease, the base termination or payoff calculation is specified. The matrix below shows which payoff methods are compatible with each lease type.

Lease Type

Payoff Methods

Termination Methods

Precomputed

CF3, EBV, FIX, G12, INV, NPV, PR, PRN, PV2, PVS, PVT, RES, RV, R78, SB, TAX, WO

EBV, G12, INV, NONE, PV2, RV, TAX, WO

Simple Interest

EBV, PRN

NONE

Operating

OPR

INV, NONE

IBL

IB

IB

 

Descriptions of payoff method calculations are detailed below.

STATUTORY REBATE (Unearned Finance Charge) =

(((Months to Run *(Months to Run +1) x Term Charges
Original Term *(Original Term + 1))

Months to Run = Months form Commencement of lease to next payment date

NET PAYOUT (Base Payoff) = Contract Receivable (Future Net Receivable)
+ Residual
- Rule of 12 78th Unearned Finance Charge (Statutory Rebate)

Note: The Net Payout will not include the Balloon Payment as part of the payment stream and is included in the Contract Receivable. Additionally, the Residual in not included in the Base Payoff calculation due to the fact that the residual is not known in a hire purchase since it is part of the payment stream and is included in the Contract Receivable.

GROSS PAYOUT (Base Payoff) =Net Payout
+ Payments Behind
- Payments Ahead
+ Overdue Interest

TOTAL PAYOUT =Gross Payout
+ Clearance Fee

PAYMENT AS PER LMS (Total Payoff) =Total Payout
- Clearance Fee
+ FID

Note: This payoff method may not be used if a mid-term adjustments (asset add-on, asset payoff, payment reschedule, lease extension, write-down, write-up) has been made to the lease. Since the statutory rebate calculation is based on the Lessor Original Unearned Income and this value is not adjusted when a mid-term adjustment is applied, it will not be able to calculate the correct amount for the payoff.

The adjusted lease balance is calculated as the estimated residual value plus the average monthly depreciation amount times the number of months remaining in the scheduled lease term.

The realized value is the fair market value, or the estimated resale value of the asset as of the date of the payoff/termination, as determined by professional appraisal, published journals, trade standard, or actual sale price.

This method assumes a monthly payment schedule. It is not valid for leases extended on a month-to-month basis (i.e., without a fixed remaining term).

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Initial Direct Costs/Revenues

Initial direct costs are incurred related to the negotiating and closing of lease transactions. Initial direct revenue is income due to the lessor at lease commencement. Initial direct costs and revenue may be amortized over the life of the lease or charged against income as incurred (at lease commencement) with a portion of unearned income equal to the IDC/IDR recognized as income in the same period (lease commencement).

When a new lease is booked, initial direct costs are automatically calculated and displayed on the payment option screen. They are also printed out on the New Lease Audit report [U0101A] and stored on the Master Financial (RLS) file. Initial direct costs consists of the sum of the following items:

Note that if a documentation fee is entered, the calculated percentage or fixed amount is not included in the total initial direct costs. If a documentation fee is not entered, the calculated percentage or fixed amount is added to the total initial direct costs. Documentation fees are an additional cost to the lessee. The calculated percentage/fixed amount does not affect the lessee’s actual cost.

Two additional IDC elements are entered and tracked separately. They are not included in the Book IDC nor Tax IDC calculations. IDC1 is named Insurance Premium and IDC2, Notary Fee. Those field names may be customized. Both amounts are disbursed to a broker with a corresponding Disbursement Type code on the New Lease [U0101], Check Disbursal screen.

For leases with "*PX*" type accrual methods, the AMR2 IDC method IDC/IDR amortization will use the Income over the Lease Term. The Unearned Income will be equal to the Total Contract Receivable - Principal.

Leases with *PX* accrual methods will perform income adjustments during accruals so that the Total Income matches the Total Amount Received.

Earned IDC/IDR will be calculated as follows:

Unearned IDC/IDR amount *(Earned Income/Remaining Unearned Income)


Example: IDC calculation
12 month RPX0 lease
Commencement date 1/1/2001
Cost = $
10,000.00
Rate = 10%
Monthly Payments = $1,100.00 for 12 month

First month
IDC_RATIO = 83.33/3200.00
Earned IDC = 1100*IDC_RATIO= 28.64

Second month
IDC_RATIO = 74.86/(3200.00 - 83.33)
Earned IDC = (1100 - 28.64)*IDC_RATIO= 27.11
Earned IDC will be calculated based on the interest earned in table below:

Due Date
Payment
Interest
Principal
Outst Principal
     
10000.00
2/1/2002
1100.00
83.33
1,016.67
8,983.33
3/1/2002
1100.00
74.86
1025.14
7958.19
4/1/2002
1100.00
66.32
1033.68
6924.51
5/1/2002
1100.00
57.70
1042.30
5882.22
6/1/2002
1100.00
49.02
1050.98
4831.24
7/1/2002
1100.00
40.26
1059.74
3771.50
8/1/2002
1100.00
31.43
1068.57
2702.92
9/1/2002
1100.00
22.52
1077.48
1625.45
10/1/2002
1100.00
13.55
1086.45
538.99
11/1/2002
1100.00
4.49
1095.51
-556.51
12/1/2002
1100.00
-4.64
1104.64
-1661.15
1/1/2003
1100.00
2761.15
-1661.15
0
Unearned Income
 
3200.00
 

In Mid-term Adjustments, Payoffs, Asset Add-On and Payment Reschedules, the remaining unearned income is adjusted based on the remaining contract receivable and the outstanding principal.

Using the above example, after 7/1/2002 is accrued, the Payment Schedule is $1000.00 and an additional two months is added to the term. Then the new remaining unearned income will be calculated as follows:

Due Date
Payment
Interest
Principal
Outst Principal
     
10000.00
8/1/2002
1100.00
31.43
968.57
2802.93
9/1/2002
1100.00
23.46
976.64
1826.29
10/1/2002
1100.00
15.22
984.78
841.51
11/1/2002
1100.00
7.01
992.19
-151.48
12/1/2002
1100.00
-1.26
1001.26
-1152.74
1/1/2003
1100.00
-9.61
1009.61
-2162.35
2/1/2003
1100.00
-18.02
1018.02
-3180.37
3/1/2003
1100.00
4180.37
-3180.37
0
Unearned Income
4228.50

Earned IDC on 8/1/2002 = Unamortized IDC * 31.43/4228.50


The AMR2 IDC method with an *IF* type accrual method, will calculate that yield accordingly and allow comparison to the fixed rate entered.
The floating rate (Principal + Interest) Interest Bearing; IDC/IDR amortization uses income over lease term for IDC/IDR amortization. The estimated Unearned Income will be calculated and stored. Earned IDC/IDR will be calculated as follows:

Unearned IDC/IDR amount *(Earned Income/Remaining Estimated Unearned Income)

Both IDC1 and IDC2 are amortized following the rules according to the accrual type on the lease.

There are several options for the calculation of initial direct costs on LeasePak:

The following items are established through the Portfolio update [U0212] New Lease:

 

Initial Direct Revenue

IDR is not a calculated total. Four fields on a new lease contain income amounts which are considered initial direct revenue.

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Net Present Value

Net present value (NPV) is a mathematical calculation used in discounted cash flow analysis. It can be used to determine if an investment is profitable, or as a basis for comparing investment alternatives.

In general, the computation of net present value is as follows:

If the NPV is positive (greater than zero), the investment is financially attractive at the given discount rate. If the NPV is negative (less than zero), the investment is financially unattractive at the given discount rate. If the NPV is zero, the investment is neutral (neither attractive nor unattractive) at the given discount rate.

Specifically, the net present value calculation is as follows: Where NPV=

CF(1)
+
CF(2)
+...+
CF(n)
(1+i) 1
 
(1+i) 2
 
(1+i) n

where, *n is the term, CF(0) is the initial cash outflow, CF(1) through CF(n) are the expected future cash flows, and *i is the periodic discount rate.

The net present value of the contract dollar amounts for each lease is calculated and displayed using cost of funds as the discount rate. The net present value is not calculated if cost of funds is zero. The calculation involves the following cash flow amounts:

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Internal Rate Of Return

Internal rate of return (IRR) is a mathematical calculation used in discounted cash flow analysis. The computation of IRR is complex, involving a series of iterative calculations on a given cash flow. In each iteration, an estimate of IRR is used as the discount rate in a net present value calculation of the cash flows. Each iteration refines the estimate until the computed net present value is zero or very close to zero. Therefore, the internal rate of return can be thought of as the rate at which an investment is financially neutral.

When a lease is booked, three main IRR calculations are performed:

Yield

For precomputed leases, operating leases with fixed terms and some simple interest accrual methods, the lessor yield is calculated. This is the yield that, when used to amortize unearned income to earned income over the lease term, provides a constant periodic rate of return on the net investment in the lease. This yield is also referred to as level yield, implicit yield, constant yield, or the FASB method of income recognition yield. Refer to the Level Yield Accrual Method section for more information.

The calculation uses the following cash flows:

 

IRR with Residual

An internal rate of return on the lease cash flows, including any residual amount, is calculated. IRR with residual is not calculated for the VT and VV simple interest floating rate accrual methods because these require that the principal portion only of the lease payment be entered into the payment schedule. In these cases, IRR would be zero if there is no residual amount or negative if there is a residual amount.

The calculation uses the following cash flows:

 

IRR without Residual

An internal rate of return on the lease cash flows, excluding any residual amount, is calculated. Similar to IRR with residual, IRR without residual is not calculated for the VT and VV accrual methods.

The calculation uses the same cash flows as the IRR with residual calculation except that the residual amount, if any, is not included in the final inflow.

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Check Digit

LeasePak has available an application/lease assignment method which utilizes a check digit number. This method enables LeasePak to calculate and record the check digit as part of the assigned lease number at lease booking. The application/lease number plus the check digit becomes the new number for the application/lease. That is, all access to the application/ lease requires the check digit number.

The check digit algorithm calculates a check digit based upon a number of up to nine digits and places the check digit calculation in the tenth position (the right most, or ‘ones’, position). The algorithm is as follows:

application_number/lease_number = abcdefghi

total =

(a * 3) + (b * 5) + (c * 7) +

(d * 13)+ (e * 17)+(f * 19)+

(g * 23)+ (h * 29) +(i * 31)

compare_total = total

if (total MOD 11) > 0 then

compare_total = (FIX (total / 11) + 1) * 11

check_digit = compare_total - total

if check_digit = 10 then

get next available application/lease number and try again

else application_number/lease_number = (abcdefghi * 10) + check_digit

where,

MOD returns the remainder in the calculation
FIX returns the integer portion only of the answer

 

Document: Reference Guide - Table of Contents Document: How to Use the Reference Guide Top of Current Document

Topic: Lease Accrual Methods Topic: ITC Accrual Topic: Notes Payable Accrual Methods Topic: Late Charges Topic: Payoff Methods
Topic: Initial Direct Costs/Revenues Topic: Net Present Value Topic: Internal Rate of Return Topic: Check Digit Topic: Miscellaneous Calculations

Miscellaneous Calculations


The following are miscellaneous calculations performed by LeasePak:

 

Bad Debt

The allowance method of accounting for bad debt involves an estimation of future bad debt and enables a matching of future bad debt losses to the time at which the bad debt was incurred (i.e., the commencement of the lease).

LeasePak enables a percentage of the contract receivable to be recognized as an allowance for bad debt for each lease booked onto the system. This percentage may be defaulted at the vendor or the portfolio levels and may be changed at the lease level during lease booking.

The allowance for bad debt amount may be included in or excluded from the initial direct costs of the lease (refer to the Initial Direct Costs section of this document).

 

Net Investment

The net investment for a precomputed interest lease is calculated as follows:

CONTRACT RECEIVABLE
+ RESIDUAL
- UNEARNED INCOME (lessor + vendor + investor)

It may also be calculated as follows:

ACCRUED PRINCIPAL
+ SECURITY DEPOSIT
+ UNEARNED ITC INCOME

For simple interest leases, the net investment is:

ACCRUED PRINCIPAL

 

Unearned Income

Unearned income is the amount of income not yet recognized for the lease. It is calculated for precomputed interest leases and for VV and VL simple interest leases. For a precomputed interest lease, unearned income may consist of three components: lessor, vendor and investor income. The total unearned income for the lease is calculated as follows:

MINIMUM LEASE PAYMENTS RECEIVABLE
+ UNGUARANTEED RESIDUAL
- (ACQUISITION COST - DOWN PAYMENT)
- OTHER CHARGES
- INITIAL DIRECT COSTS (if included in the yield)

Vendor and investor portions of the unearned are calculated using the entered vendor and investor rates and the balance subject to lease charges. The balance subject to lease charges is calculated as follows:

ORIGINAL ACQUISITION COST
+ OTHER CHARGES
+ DOCUMENTATION FEE
- DOWN PAYMENT
+ RESIDUAL

The vendor and investor portions of the total unearned are calculated as follows:

BALANCE SUBJECT TO LEASE CHARGES
* VENDOR or INVESTOR RATE
* TERM

The lessor portion of the total unearned is calculated as follows:

TOTAL UNEARNED INCOME
- VENDOR UNEARNED INCOME
- INVESTOR UNEARNED INCOME

 

Capitalized Cost

Capitalized cost is the financed cost of the lease. It is calculated as follows:

ORIGINAL ACQUISITION COST
+ OTHER CHARGES
+ DOCUMENTATION FEES
- DOWN PAYMENT
+ BROKER FEES (if capitalized)

 

Monthly Rental Income

The monthly rental income is the average rental income accrued each month for the lease. It is calculated as follows:

MIN LEASE PAYMENTS
- CAPITALIZED COST
+ UNGUARANTEED RESIDUAL
/ LEASE TERM

The capitalized cost is calculated as follows:

ORIGINAL ACQUISITION COST
+ OTHER CHARGES
+ DOCUMENTATION FEE
+ BROKER FEE
- DOWN PAYMENT

The BROKER FEE is included only if it is capitalized.

Not applicable to operating leases.

 

Monthly Rental Depreciation

The monthly rental depreciation is the average monthly reduction of the net investment in the lease. It is calculated as follows:

(CAPITALIZED COST - RESIDUAL)/ TERM

 

Contract Rate

The contract rate is calculated as follows:

MONTHLY RENTAL INCOME
/ (CAPITALIZED COST + RESIDUAL)

 

Starting Accrued Principal

The starting accrued principal for a lease with a precomputed accrual method is calculated as follows:

ORIGINAL ACQUISITION COST
+ OTHER CHARGES
+ INITIAL DIRECT COSTS
- ADVANCE PAYMENTS
- DOWN PAYMENT
- SECURITY DEPOSIT
- INTERIM RENT

The initial direct cost amount is not included in this calculation if it is amortized over the life of the lease. It is only included if the entire initial direct cost amount is recognized in the first month of the lease. The method for initial direct cost recognition is determined by the parameter INITIAL DIRECT COST EXCLUDED FROM YIELD found on the first screen of the New Lease Customizations screen of the Portfolio update [U0212].

The interim rent is not included in this calculation if it is considered a one- time income item; that is, if the entire payment is recognized as income in the first month of the lease. It is only included if the income recognition from the interim rent is amortized over the life of the lease. The method of interim rent income recognition is determined by the INTERIM RENT (Y/ N) field in the Portfolio update [U0212NL].

The starting accrued principal for a lease with a simple interest accrual method is calculated as follows:

ORIGINAL ACQUISITION COST
+ OTHER CHARGES
+ INITIAL DIRECT COSTS
- ADVANCE PAYMENTS
- DOWN PAYMENT

The initial direct cost amount is not included in this calculation if it is amortized over the life of the lease. It is only included if the entire initial direct cost amount is recognized in the first month of the lease. The method for initial direct cost recognition is determined by the parameter INITIAL DIRECT COST EXCLUDED FROM YIELD found on the first screen of the New Lease Customizations screen of the Portfolio update [U0212].

 

© 2001 by McCue Systems Incorporated.
All rights reserved.

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