Example 8: Transactions with Static Rate of interest calculated every 30 days, no compounding

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Example 8 Scenario  

This example is based on the facts in Example 7. See entire scenario below for full version.

 

In the previous example:

Interest was calculated daily.
Interest was compounded daily.

 

In this example:

Interest is to be calculated every 30 days starting from the date that Mr Smith entered the credit supply agreement on 14 July 2004.
Interest is not compounded.

 

Demonstrated Features

Using scheduled interest dates.
Using Synch Date to synchronize recurring intervals with a specified date.
Examine relevant parts of the calculation result.

 

Points of Interest

The program has calculated interest dates at 30 day intervals.
Where there is an intervening event the program gets back to 30 day intervals asap.

 

 

Multimedia Presentation

 

Click icon to watch video

 

Entire Scenario

There are a series of transactions on Mr Smith's account - the first one is on 16 July 2004 and the last one is on 23 November 2006, the balance is currently $6704.35.

 

DATE DESCRIPTION AMOUNT BALANCE
16/07/2004 Invoice No. 504 $950.05 $950.05
24/01/2005 Invoice No. 505 $1,482.18 $2,432.23
12/10/2005 Cheque No. 439758 $2,772.83CR $340.60CR
05/11/2005 Invoice No. 506 $1,313.14 $972.54
11/11/2005 Dishonoured Cheque Fee $50.00 $1,022.54
14/01/2006 Invoice No. 507 $3,071.38 $4,093.92
10/04/2006 Cheque No. 439759 $2,950.00CR $1,143.92
26/05/2006 Invoice No. 508 $7,076.15 $8,220.07
15/07/2006 Cheque No. 439760 $1,447.98CR $6,772.09
23/11/2006 Cheque No. 439761 $67.74CR $6,704.35

 

He's given a lot of business over the years and has always paid up eventually, but the account has lost too much control now.

 

The credit supply agreement says that interest may be charged daily at a static interest rate of 7.5% per annum.

 

It also says that if the customer's account goes into credit (i.e. the store owes the customer) then no interest is payable to the customer.

 

Interest is to be calculated every 30 days starting from the date that Mr Smith entered the credit supply agreement on 14 July 2004.

 

Interest is not compounded.

 

Payments are allocated to the best benefit of the store (i.e. the creditor).

 

We wish to calculate interest as at 21 September 2007.

 

Calculation Results

The results generated by the program are shown below.

 


Calculation Result

Example 8

 

 

SUMMARY

 

Calculated interest on transactions, starting with principal of nine hundred and fifty dollars and five cents ($950.05), for the period 16/07/2004 to 21/09/2007 inclusive, a period of 1163 days.

 

Total interest for the period was nine hundred and ninety-six dollars and sixty-nine cents ($996.69), however the amount now owing is five hundred and sixty-eight dollars and thirty-five cents ($568.35) because of the allocation of debits/credits during the period.

 

As at 21/09/2007 the total amount owing is seven thousand seven hundred and one dollars and four cents ($7,701.04) comprised of principal of seven thousand one hundred and thirty-two dollars and sixty-nine cents ($7,132.69) and accumulated interest of five hundred and sixty-eight dollars and thirty-five cents ($568.35).

 

Interest on $7,132.69 continues to accumulate at one dollar and forty-seven cents ($1.47) per day on and from 22/09/2007.

 

TRANSACTION HISTORY BEFORE INTEREST IS TAKEN INTO ACCOUNT

DATE DESCRIPTION AMOUNT BALANCE
16/07/2004 Invoice No. 504 $950.05 $950.05
24/01/2005 Invoice No. 505 $1,482.18 $2,432.23
12/10/2005 Cheque No. 439758 $2,772.83CR $340.60CR
05/11/2005 Invoice No. 506 $1,313.14 $972.54
11/11/2005 Dishonoured Cheque Fee $50.00 $1,022.54
14/01/2006 Invoice No. 507 $3,071.38 $4,093.92
10/04/2006 Cheque No. 439759 $2,950.00CR $1,143.92
26/05/2006 Invoice No. 508 $7,076.15 $8,220.07
15/07/2006 Cheque No. 439760 $1,447.98CR $6,772.09
23/11/2006 Cheque No. 439761 $67.74CR $6,704.35

 

 

 

 

PARTICULARS OF INTEREST

 

(a) On 16/07/2004 the opening principal was $950.05, the interest rate on debit balances was 7.5% per annum, the interest rate on credit balances was nil (0.0%), and the days per year base used to convert the annual interest rates into daily interest rates was 366.

 

(b) Debits and Credits are each applied to non-principal then to interest then to principal.

 

(c) Calculated interest on 13/08/2004. Interest on $950.05 (principal) at 7.5% per annum × 29 days (16/07/2004 to 13/08/2004 inclusive) ÷ 366 (days per year) is $5.65, resulting in a new unpaid interest balance of $5.65 ($0.00 plus $5.65).

 

(d) Calculated interest on 12/09/2004. Interest on $950.05 (principal) at 7.5% per annum × 30 days (14/08/2004 to 12/09/2004 inclusive) ÷ 366 (days per year) is $5.84, resulting in a new unpaid interest balance of $11.49 ($5.65 plus $5.84).

 

(e) Calculated interest on 12/10/2004. Interest on $950.05 (principal) at 7.5% per annum × 30 days (13/09/2004 to 12/10/2004 inclusive) ÷ 366 (days per year) is $5.84, resulting in a new unpaid interest balance of $17.33 ($11.49 plus $5.84).

 

(f) Calculated interest on 11/11/2004. Interest on $950.05 (principal) at 7.5% per annum × 30 days (13/10/2004 to 11/11/2004 inclusive) ÷ 366 (days per year) is $5.84, resulting in a new unpaid interest balance of $23.17 ($17.33 plus $5.84).

 

 

Interest is being calculated every 30 days.

 

 

(g) Calculated interest on 11/12/2004. Interest on $950.05 (principal) at 7.5% per annum × 30 days (12/11/2004 to 11/12/2004 inclusive) ÷ 366 (days per year) is $5.84, resulting in a new unpaid interest balance of $29.01 ($23.17 plus $5.84).

 

 

Interest had to be calculated less than 30 days because there was an intervening event.

 

 

(h) Calculated interest on 31/12/2004 because it was the last day before the days per year base changed (from 366 to 365) on 01/01/2005. Interest on $950.05 (principal) at 7.5% per annum × 20 days (12/12/2004 to 31/12/2004 inclusive) ÷ 366 (days per year) is $3.89, resulting in a new unpaid interest balance of $32.90 ($29.01 plus $3.89).

 

(i) On 01/01/2005 the days per year base used to convert the annual interest rate into the daily interest rate changed to 365. The daily interest rate is now 0.02054795% on debit balances.

 

 

The calculation gets back on schedule straightaway - back to 30 days since the last regular calculation.

 

 

(j) Calculated interest on 10/01/2005. Interest on $950.05 (principal) at 7.5% per annum × 10 days (01/01/2005 to 10/01/2005 inclusive) ÷ 365 (days per year) is $1.95, resulting in a new unpaid interest balance of $34.85 ($32.90 plus $1.95).

 

(k) Calculated interest on 23/01/2005 because it was the last day before the balance of principal changed on 24/01/2005. Interest on $950.05 (principal) at 7.5% per annum × 13 days (11/01/2005 to 23/01/2005 inclusive) ÷ 365 (days per year) is $2.54, resulting in a new unpaid interest balance of $37.39 ($34.85 plus $2.54).

 

(l) Debit on 24/01/2005: "Invoice No. 505" $1,482.18. The entire amount was added to principal, leaving a new principal balance of $2,432.23 ($950.05 plus $1,482.18).

 

(m) Calculated interest on 09/02/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 17 days (24/01/2005 to 09/02/2005 inclusive) ÷ 365 (days per year) is $8.50, resulting in a new unpaid interest balance of $45.89 ($37.39 plus $8.50).

 

(n) Calculated interest on 11/03/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 30 days (10/02/2005 to 11/03/2005 inclusive) ÷ 365 (days per year) is $14.99, resulting in a new unpaid interest balance of $60.88 ($45.89 plus $14.99).

 

(o) Calculated interest on 10/04/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 30 days (12/03/2005 to 10/04/2005 inclusive) ÷ 365 (days per year) is $14.99, resulting in a new unpaid interest balance of $75.87 ($60.88 plus $14.99).

 

(p) Calculated interest on 10/05/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 30 days (11/04/2005 to 10/05/2005 inclusive) ÷ 365 (days per year) is $14.99, resulting in a new unpaid interest balance of $90.86 ($75.87 plus $14.99).

 

(q) Calculated interest on 09/06/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 30 days (11/05/2005 to 09/06/2005 inclusive) ÷ 365 (days per year) is $14.99, resulting in a new unpaid interest balance of $105.85 ($90.86 plus $14.99).

 

(r) Calculated interest on 09/07/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 30 days (10/06/2005 to 09/07/2005 inclusive) ÷ 365 (days per year) is $14.99, resulting in a new unpaid interest balance of $120.84 ($105.85 plus $14.99).

 

(s) Calculated interest on 08/08/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 30 days (10/07/2005 to 08/08/2005 inclusive) ÷ 365 (days per year) is $14.99, resulting in a new unpaid interest balance of $135.83 ($120.84 plus $14.99).

 

(t) Calculated interest on 07/09/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 30 days (09/08/2005 to 07/09/2005 inclusive) ÷ 365 (days per year) is $14.99, resulting in a new unpaid interest balance of $150.82 ($135.83 plus $14.99).

 

(u) Calculated interest on 07/10/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 30 days (08/09/2005 to 07/10/2005 inclusive) ÷ 365 (days per year) is $14.99, resulting in a new unpaid interest balance of $165.81 ($150.82 plus $14.99).

 

(v) Calculated interest on 11/10/2005 because it was the last day before the balance of principal changed on 12/10/2005. Interest on $2,432.23 (principal) at 7.5% per annum × 4 days (08/10/2005 to 11/10/2005 inclusive) ÷ 365 (days per year) is $2.00, resulting in a new unpaid interest balance of $167.81 ($165.81 plus $2.00).

 

(w) Credit on 12/10/2005: "Cheque No. 439758" $2,772.83CR. The payment was applied partly to interest ($167.81) and partly to principal ($2,605.02) leaving a new unpaid interest balance of $0.00 ($167.81 minus $167.81) and a new principal balance of $172.79CR ($2,432.23 minus $2,605.02).

 

(x) Calculated interest on 04/11/2005 because it was the last day before the balance of principal changed on 05/11/2005. Interest on $172.79CR (principal) at 0% per annum × 24 days (12/10/2005 to 04/11/2005 inclusive) ÷ 365 (days per year) is $0.00, resulting in a new unpaid interest balance of $0.00 ($0.00 plus $0.00).

 

(y) Debit on 05/11/2005: "Invoice No. 506" $1,313.14. The entire amount was added to principal, leaving a new principal balance of $1,140.35 ($172.79CR plus $1,313.14).

 

(z) Calculated interest on 06/11/2005. Interest on $1,140.35 (principal) at 7.5% per annum × 2 days (05/11/2005 to 06/11/2005 inclusive) ÷ 365 (days per year) is $0.47, resulting in a new unpaid interest balance of $0.47 ($0.00 plus $0.47).

 

(aa) Calculated interest on 10/11/2005 because it was the last day before the balance of principal changed on 11/11/2005. Interest on $1,140.35 (principal) at 7.5% per annum × 4 days (07/11/2005 to 10/11/2005 inclusive) ÷ 365 (days per year) is $0.94, resulting in a new unpaid interest balance of $1.41 ($0.47 plus $0.94).

 

(ab) Debit on 11/11/2005: "Dishonoured Cheque Fee" $50.00. The entire amount was added to principal, leaving a new principal balance of $1,190.35 ($1,140.35 plus $50.00).

 

(ac) Calculated interest on 06/12/2005. Interest on $1,190.35 (principal) at 7.5% per annum × 26 days (11/11/2005 to 06/12/2005 inclusive) ÷ 365 (days per year) is $6.36, resulting in a new unpaid interest balance of $7.77 ($1.41 plus $6.36).

 

(ad) Calculated interest on 05/01/2006. Interest on $1,190.35 (principal) at 7.5% per annum × 30 days (07/12/2005 to 05/01/2006 inclusive) ÷ 365 (days per year) is $7.34, resulting in a new unpaid interest balance of $15.11 ($7.77 plus $7.34).

 

(ae) Calculated interest on 13/01/2006 because it was the last day before the balance of principal changed on 14/01/2006. Interest on $1,190.35 (principal) at 7.5% per annum × 8 days (06/01/2006 to 13/01/2006 inclusive) ÷ 365 (days per year) is $1.96, resulting in a new unpaid interest balance of $17.07 ($15.11 plus $1.96).

 

(af) Debit on 14/01/2006: "Invoice No. 507" $3,071.38. The entire amount was added to principal, leaving a new principal balance of $4,261.73 ($1,190.35 plus $3,071.38).

 

(ag) Calculated interest on 04/02/2006. Interest on $4,261.73 (principal) at 7.5% per annum × 22 days (14/01/2006 to 04/02/2006 inclusive) ÷ 365 (days per year) is $19.27, resulting in a new unpaid interest balance of $36.34 ($17.07 plus $19.27).

 

(ah) Calculated interest on 06/03/2006. Interest on $4,261.73 (principal) at 7.5% per annum × 30 days (05/02/2006 to 06/03/2006 inclusive) ÷ 365 (days per year) is $26.27, resulting in a new unpaid interest balance of $62.61 ($36.34 plus $26.27).

 

(ai) Calculated interest on 05/04/2006. Interest on $4,261.73 (principal) at 7.5% per annum × 30 days (07/03/2006 to 05/04/2006 inclusive) ÷ 365 (days per year) is $26.27, resulting in a new unpaid interest balance of $88.88 ($62.61 plus $26.27).

 

(aj) Calculated interest on 09/04/2006 because it was the last day before the balance of principal changed on 10/04/2006. Interest on $4,261.73 (principal) at 7.5% per annum × 4 days (06/04/2006 to 09/04/2006 inclusive) ÷ 365 (days per year) is $3.50, resulting in a new unpaid interest balance of $92.38 ($88.88 plus $3.50).

 

(ak) Credit on 10/04/2006: "Cheque No. 439759" $2,950.00CR. The payment was applied partly to interest ($92.38) and partly to principal ($2,857.62) leaving a new unpaid interest balance of $0.00 ($92.38 minus $92.38) and a new principal balance of $1,404.11 ($4,261.73 minus $2,857.62).

 

(al) Calculated interest on 05/05/2006. Interest on $1,404.11 (principal) at 7.5% per annum × 26 days (10/04/2006 to 05/05/2006 inclusive) ÷ 365 (days per year) is $7.50, resulting in a new unpaid interest balance of $7.50 ($0.00 plus $7.50).

 

(am) Calculated interest on 25/05/2006 because it was the last day before the balance of principal changed on 26/05/2006. Interest on $1,404.11 (principal) at 7.5% per annum × 20 days (06/05/2006 to 25/05/2006 inclusive) ÷ 365 (days per year) is $5.77, resulting in a new unpaid interest balance of $13.27 ($7.50 plus $5.77).

 

(an) Debit on 26/05/2006: "Invoice No. 508" $7,076.15. The entire amount was added to principal, leaving a new principal balance of $8,480.26 ($1,404.11 plus $7,076.15).

 

(ao) Calculated interest on 04/06/2006. Interest on $8,480.26 (principal) at 7.5% per annum × 10 days (26/05/2006 to 04/06/2006 inclusive) ÷ 365 (days per year) is $17.43, resulting in a new unpaid interest balance of $30.70 ($13.27 plus $17.43).

 

(ap) Calculated interest on 04/07/2006. Interest on $8,480.26 (principal) at 7.5% per annum × 30 days (05/06/2006 to 04/07/2006 inclusive) ÷ 365 (days per year) is $52.28, resulting in a new unpaid interest balance of $82.98 ($30.70 plus $52.28).

 

(aq) Calculated interest on 14/07/2006 because it was the last day before the balance of principal changed on 15/07/2006. Interest on $8,480.26 (principal) at 7.5% per annum × 10 days (05/07/2006 to 14/07/2006 inclusive) ÷ 365 (days per year) is $17.43, resulting in a new unpaid interest balance of $100.41 ($82.98 plus $17.43).

 

(ar) Credit on 15/07/2006: "Cheque No. 439760" $1,447.98CR. The payment was applied partly to interest ($100.41) and partly to principal ($1,347.57) leaving a new unpaid interest balance of $0.00 ($100.41 minus $100.41) and a new principal balance of $7,132.69 ($8,480.26 minus $1,347.57).

 

(as) Calculated interest on 03/08/2006. Interest on $7,132.69 (principal) at 7.5% per annum × 20 days (15/07/2006 to 03/08/2006 inclusive) ÷ 365 (days per year) is $29.31, resulting in a new unpaid interest balance of $29.31 ($0.00 plus $29.31).

 

(at) Calculated interest on 02/09/2006. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (04/08/2006 to 02/09/2006 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $73.28 ($29.31 plus $43.97).

 

(au) Calculated interest on 02/10/2006. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (03/09/2006 to 02/10/2006 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $117.25 ($73.28 plus $43.97).

 

(av) Calculated interest on 01/11/2006. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (03/10/2006 to 01/11/2006 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $161.22 ($117.25 plus $43.97).

 

(aw) Calculated interest on 22/11/2006 because it was the last day before the balance of principal changed on 23/11/2006. Interest on $7,132.69 (principal) at 7.5% per annum × 21 days (02/11/2006 to 22/11/2006 inclusive) ÷ 365 (days per year) is $30.78, resulting in a new unpaid interest balance of $192.00 ($161.22 plus $30.78).

 

(ax) Credit on 23/11/2006: "Cheque No. 439761" $67.74CR. The payment was applied entirely to interest, leaving a new unpaid interest balance of $124.26 ($192.00 minus $67.74).

 

(ay) Calculated interest on 01/12/2006. Interest on $7,132.69 (principal) at 7.5% per annum × 9 days (23/11/2006 to 01/12/2006 inclusive) ÷ 365 (days per year) is $13.19, resulting in a new unpaid interest balance of $137.45 ($124.26 plus $13.19).

 

(az) Calculated interest on 31/12/2006. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (02/12/2006 to 31/12/2006 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $181.42 ($137.45 plus $43.97).

 

(ba) Calculated interest on 30/01/2007. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (01/01/2007 to 30/01/2007 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $225.39 ($181.42 plus $43.97).

 

(bb) Calculated interest on 01/03/2007. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (31/01/2007 to 01/03/2007 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $269.36 ($225.39 plus $43.97).

 

(bc) Calculated interest on 31/03/2007. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (02/03/2007 to 31/03/2007 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $313.33 ($269.36 plus $43.97).

 

(bd) Calculated interest on 30/04/2007. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (01/04/2007 to 30/04/2007 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $357.30 ($313.33 plus $43.97).

 

(be) Calculated interest on 30/05/2007. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (01/05/2007 to 30/05/2007 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $401.27 ($357.30 plus $43.97).

 

(bf) Calculated interest on 29/06/2007. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (31/05/2007 to 29/06/2007 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $445.24 ($401.27 plus $43.97).

 

(bg) Calculated interest on 29/07/2007. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (30/06/2007 to 29/07/2007 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $489.21 ($445.24 plus $43.97).

 

(bh) Calculated interest on 28/08/2007. Interest on $7,132.69 (principal) at 7.5% per annum × 30 days (30/07/2007 to 28/08/2007 inclusive) ÷ 365 (days per year) is $43.97, resulting in a new unpaid interest balance of $533.18 ($489.21 plus $43.97).

 

(bi) Calculated interest on 21/09/2007. Interest on $7,132.69 (principal) at 7.5% per annum × 24 days (29/08/2007 to 21/09/2007 inclusive) ÷ 365 (days per year) is $35.17, resulting in a new unpaid interest balance of $568.35 ($533.18 plus $35.17).

 

(bj) As at 21/09/2007 the total amount owing is seven thousand seven hundred and one dollars and four cents ($7,701.04) comprised of principal of seven thousand one hundred and thirty-two dollars and sixty-nine cents ($7,132.69) and accumulated interest of five hundred and sixty-eight dollars and thirty-five cents ($568.35).

 

(bk) Total interest for the period 16/07/2004 to 21/09/2007 (1163 days) was nine hundred and ninety-six dollars and sixty-nine cents ($996.69).

 

(bl) Interest on $7,132.69 continues to accumulate at one dollar and forty-seven cents ($1.47) per day on and from 22/09/2007.


Calculation Result

Example 8

 

 

TRANSACTION HISTORY BEFORE INTEREST IS TAKEN INTO ACCOUNT

DATE DESCRIPTION AMOUNT BALANCE
16/07/2004 Invoice No. 504 $950.05 $950.05
24/01/2005 Invoice No. 505 $1,482.18 $2,432.23
12/10/2005 Cheque No. 439758 $2,772.83CR $340.60CR
05/11/2005 Invoice No. 506 $1,313.14 $972.54
11/11/2005 Dishonoured Cheque Fee $50.00 $1,022.54
14/01/2006 Invoice No. 507 $3,071.38 $4,093.92
10/04/2006 Cheque No. 439759 $2,950.00CR $1,143.92
26/05/2006 Invoice No. 508 $7,076.15 $8,220.07
15/07/2006 Cheque No. 439760 $1,447.98CR $6,772.09
23/11/2006 Cheque No. 439761 $67.74CR $6,704.35

 

 

 

 

INTEREST CALCULATION TABLE

DATE DESCRIPTION DAYS AMOUNT BALANCE PRINCIPAL INTEREST
16/07/2004 Interest rate started at 7.5% on debit balances (0.0204918% per day). $950.05DR $950.05DR $0.00DR
13/08/2004 Interest (16/07/2004 to 13/08/2004 inclusive) $950.05 × 0.0204918% × 29 days = $5.65. 29 $5.65DR $955.70DR $950.05DR $5.65DR
12/09/2004 Interest (14/08/2004 to 12/09/2004 inclusive) $950.05 × 0.0204918% × 30 days = $5.84. 30 $5.84DR $961.54DR $950.05DR $11.49DR
12/10/2004 Interest (13/09/2004 to 12/10/2004 inclusive) $950.05 × 0.0204918% × 30 days = $5.84. 30 $5.84DR $967.38DR $950.05DR $17.33DR
11/11/2004 Interest (13/10/2004 to 11/11/2004 inclusive) $950.05 × 0.0204918% × 30 days = $5.84. 30 $5.84DR $973.22DR $950.05DR $23.17DR
11/12/2004 Interest (12/11/2004 to 11/12/2004 inclusive) $950.05 × 0.0204918% × 30 days = $5.84. 30 $5.84DR $979.06DR $950.05DR $29.01DR
31/12/2004 Interest (12/12/2004 to 31/12/2004 inclusive) $950.05 × 0.0204918% × 20 days = $3.89. 20 $3.89DR $982.95DR $950.05DR $32.90DR
01/01/2005 Days per year changed to 365. Daily interest rate now 0.02054795% on debit balances. $982.95DR $950.05DR $32.90DR
10/01/2005 Interest (01/01/2005 to 10/01/2005 inclusive) $950.05 × 0.02054795% × 10 days = $1.95. 10 $1.95DR $984.90DR $950.05DR $34.85DR
23/01/2005 Interest (11/01/2005 to 23/01/2005 inclusive) $950.05 × 0.02054795% × 13 days = $2.54. 13 $2.54DR $987.44DR $950.05DR $37.39DR
24/01/2005 Invoice No. 505. Entire amount added to principal. $1,482.18DR $2,469.62DR $2,432.23DR $37.39DR
09/02/2005 Interest (24/01/2005 to 09/02/2005 inclusive) $2,432.23 × 0.02054795% × 17 days = $8.50. 17 $8.50DR $2,478.12DR $2,432.23DR $45.89DR
11/03/2005 Interest (10/02/2005 to 11/03/2005 inclusive) $2,432.23 × 0.02054795% × 30 days = $14.99. 30 $14.99DR $2,493.11DR $2,432.23DR $60.88DR
10/04/2005 Interest (12/03/2005 to 10/04/2005 inclusive) $2,432.23 × 0.02054795% × 30 days = $14.99. 30 $14.99DR $2,508.10DR $2,432.23DR $75.87DR
10/05/2005 Interest (11/04/2005 to 10/05/2005 inclusive) $2,432.23 × 0.02054795% × 30 days = $14.99. 30 $14.99DR $2,523.09DR $2,432.23DR $90.86DR
09/06/2005 Interest (11/05/2005 to 09/06/2005 inclusive) $2,432.23 × 0.02054795% × 30 days = $14.99. 30 $14.99DR $2,538.08DR $2,432.23DR $105.85DR
09/07/2005 Interest (10/06/2005 to 09/07/2005 inclusive) $2,432.23 × 0.02054795% × 30 days = $14.99. 30 $14.99DR $2,553.07DR $2,432.23DR $120.84DR
08/08/2005 Interest (10/07/2005 to 08/08/2005 inclusive) $2,432.23 × 0.02054795% × 30 days = $14.99. 30 $14.99DR $2,568.06DR $2,432.23DR $135.83DR
07/09/2005 Interest (09/08/2005 to 07/09/2005 inclusive) $2,432.23 × 0.02054795% × 30 days = $14.99. 30 $14.99DR $2,583.05DR $2,432.23DR $150.82DR
07/10/2005 Interest (08/09/2005 to 07/10/2005 inclusive) $2,432.23 × 0.02054795% × 30 days = $14.99. 30 $14.99DR $2,598.04DR $2,432.23DR $165.81DR
11/10/2005 Interest (08/10/2005 to 11/10/2005 inclusive) $2,432.23 × 0.02054795% × 4 days = $2.00. 4 $2.00DR $2,600.04DR $2,432.23DR $167.81DR
12/10/2005 Cheque No. 439758. Payment was applied partly to interest ($167.81) and partly to principal ($2,605.02). $2,772.83CR $172.79CR $172.79CR $0.00DR
04/11/2005 Interest (12/10/2005 to 04/11/2005 inclusive) $172.79CR × 0% × 24 days = $0.00. 24 Nil $172.79CR $172.79CR $0.00DR
05/11/2005 Invoice No. 506. Entire amount added to principal. $1,313.14DR $1,140.35DR $1,140.35DR $0.00DR
06/11/2005 Interest (05/11/2005 to 06/11/2005 inclusive) $1,140.35 × 0.02054795% × 2 days = $0.47. 2 $0.47DR $1,140.82DR $1,140.35DR $0.47DR
10/11/2005 Interest (07/11/2005 to 10/11/2005 inclusive) $1,140.35 × 0.02054795% × 4 days = $0.94. 4 $0.94DR $1,141.76DR $1,140.35DR $1.41DR
11/11/2005 Dishonoured Cheque Fee. Entire amount added to principal. $50.00DR $1,191.76DR $1,190.35DR $1.41DR
06/12/2005 Interest (11/11/2005 to 06/12/2005 inclusive) $1,190.35 × 0.02054795% × 26 days = $6.36. 26 $6.36DR $1,198.12DR $1,190.35DR $7.77DR
05/01/2006 Interest (07/12/2005 to 05/01/2006 inclusive) $1,190.35 × 0.02054795% × 30 days = $7.34. 30 $7.34DR $1,205.46DR $1,190.35DR $15.11DR
13/01/2006 Interest (06/01/2006 to 13/01/2006 inclusive) $1,190.35 × 0.02054795% × 8 days = $1.96. 8 $1.96DR $1,207.42DR $1,190.35DR $17.07DR
14/01/2006 Invoice No. 507. Entire amount added to principal. $3,071.38DR $4,278.80DR $4,261.73DR $17.07DR
04/02/2006 Interest (14/01/2006 to 04/02/2006 inclusive) $4,261.73 × 0.02054795% × 22 days = $19.27. 22 $19.27DR $4,298.07DR $4,261.73DR $36.34DR
06/03/2006 Interest (05/02/2006 to 06/03/2006 inclusive) $4,261.73 × 0.02054795% × 30 days = $26.27. 30 $26.27DR $4,324.34DR $4,261.73DR $62.61DR
05/04/2006 Interest (07/03/2006 to 05/04/2006 inclusive) $4,261.73 × 0.02054795% × 30 days = $26.27. 30 $26.27DR $4,350.61DR $4,261.73DR $88.88DR
09/04/2006 Interest (06/04/2006 to 09/04/2006 inclusive) $4,261.73 × 0.02054795% × 4 days = $3.50. 4 $3.50DR $4,354.11DR $4,261.73DR $92.38DR
10/04/2006 Cheque No. 439759. Payment was applied partly to interest ($92.38) and partly to principal ($2,857.62). $2,950.00CR $1,404.11DR $1,404.11DR $0.00DR
05/05/2006 Interest (10/04/2006 to 05/05/2006 inclusive) $1,404.11 × 0.02054795% × 26 days = $7.50. 26 $7.50DR $1,411.61DR $1,404.11DR $7.50DR
25/05/2006 Interest (06/05/2006 to 25/05/2006 inclusive) $1,404.11 × 0.02054795% × 20 days = $5.77. 20 $5.77DR $1,417.38DR $1,404.11DR $13.27DR
26/05/2006 Invoice No. 508. Entire amount added to principal. $7,076.15DR $8,493.53DR $8,480.26DR $13.27DR
04/06/2006 Interest (26/05/2006 to 04/06/2006 inclusive) $8,480.26 × 0.02054795% × 10 days = $17.43. 10 $17.43DR $8,510.96DR $8,480.26DR $30.70DR
04/07/2006 Interest (05/06/2006 to 04/07/2006 inclusive) $8,480.26 × 0.02054795% × 30 days = $52.28. 30 $52.28DR $8,563.24DR $8,480.26DR $82.98DR
14/07/2006 Interest (05/07/2006 to 14/07/2006 inclusive) $8,480.26 × 0.02054795% × 10 days = $17.43. 10 $17.43DR $8,580.67DR $8,480.26DR $100.41DR
15/07/2006 Cheque No. 439760. Payment was applied partly to interest ($100.41) and partly to principal ($1,347.57). $1,447.98CR $7,132.69DR $7,132.69DR $0.00DR
03/08/2006 Interest (15/07/2006 to 03/08/2006 inclusive) $7,132.69 × 0.02054795% × 20 days = $29.31. 20 $29.31DR $7,162.00DR $7,132.69DR $29.31DR
02/09/2006 Interest (04/08/2006 to 02/09/2006 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,205.97DR $7,132.69DR $73.28DR
02/10/2006 Interest (03/09/2006 to 02/10/2006 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,249.94DR $7,132.69DR $117.25DR
01/11/2006 Interest (03/10/2006 to 01/11/2006 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,293.91DR $7,132.69DR $161.22DR
22/11/2006 Interest (02/11/2006 to 22/11/2006 inclusive) $7,132.69 × 0.02054795% × 21 days = $30.78. 21 $30.78DR $7,324.69DR $7,132.69DR $192.00DR
23/11/2006 Cheque No. 439761. Payment applied entirely to interest. $67.74CR $7,256.95DR $7,132.69DR $124.26DR
01/12/2006 Interest (23/11/2006 to 01/12/2006 inclusive) $7,132.69 × 0.02054795% × 9 days = $13.19. 9 $13.19DR $7,270.14DR $7,132.69DR $137.45DR
31/12/2006 Interest (02/12/2006 to 31/12/2006 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,314.11DR $7,132.69DR $181.42DR
30/01/2007 Interest (01/01/2007 to 30/01/2007 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,358.08DR $7,132.69DR $225.39DR
01/03/2007 Interest (31/01/2007 to 01/03/2007 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,402.05DR $7,132.69DR $269.36DR
31/03/2007 Interest (02/03/2007 to 31/03/2007 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,446.02DR $7,132.69DR $313.33DR
30/04/2007 Interest (01/04/2007 to 30/04/2007 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,489.99DR $7,132.69DR $357.30DR
30/05/2007 Interest (01/05/2007 to 30/05/2007 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,533.96DR $7,132.69DR $401.27DR
29/06/2007 Interest (31/05/2007 to 29/06/2007 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,577.93DR $7,132.69DR $445.24DR
29/07/2007 Interest (30/06/2007 to 29/07/2007 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,621.90DR $7,132.69DR $489.21DR
28/08/2007 Interest (30/07/2007 to 28/08/2007 inclusive) $7,132.69 × 0.02054795% × 30 days = $43.97. 30 $43.97DR $7,665.87DR $7,132.69DR $533.18DR
21/09/2007 Interest (29/08/2007 to 21/09/2007 inclusive) $7,132.69 × 0.02054795% × 24 days = $35.17. 24 $35.17DR $7,701.04DR $7,132.69DR $568.35DR
Final Balance 1163 $7,701.04DR $7,132.69DR $568.35DR

 


 

Calculation Notes

 

The following information is provided to give you a complete understanding of the calculation, so even the finest details are available if ever needed.

 

1. The main calculation options (such as days per year, credit application order and rounding) have been taken from the settings on the main form. These options can be changed for individual calculations in Settings|Options, or for all new cases in Settings|Setup.

 

2. The debit interest rates have been taken from the settings on the main form.

 

3. The credit interest rates (if required) have been taken from the settings on the main form.

 

4. In Settings|Options you have selected the setting that tends to be best for the creditor (i.e. the person who is owed the money). It applies any payments against interest before it applies payments against principal. This keeps the amount of principal on which interest is calculated as high as possible for as long as possible thus maximising the total amount of interest.

 

5. Decimal Rounding. When converting from an annual rate of interest to a daily rate of interest, and except if overridden in an interest rates file, the program has rounded-up to 8 decimal places, eg 8.12512324924555 is rounded to 8.12512325%. You can change the setting in Settings|Options.

 

6. Calendar Year. You are using the "Calendar Year" method for converting the annual interest rate to the daily interest rate. In many cases this is the most accurate setting but you should be aware that it adds complexity to the calculation report because it requires additional interest calculations before and after each leap year. If you require a simpler report and it is appropriate to do so then choose a different setting. The setting is either embedded in the Options section of the selected interest rate file or else it is set in Settings|Options on the main form. In either case you can change or override the setting for a particular calculation in Settings|Options. Please note that such settings only apply to the current calculation. You can change the default value that affects all new calculations in Settings|Setup. The default value cannot however automatically override any setting in the Options part of an interest rate file - you still have to override on an individual basis as explained above.