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You are here: BAILII >> Databases >> Scottish Law Commission >> Scottish Law Commission (Discussion Papers) >> Interest on Debt & Damages [2005] SLC 127(appendix e) (DP) (January 2005) URL: http://www.bailii.org/scot/other/SLC/DP/2005/127(appendix_e).html Cite as: [2005] SLC 127(appendix e) (DP) |
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APPENDIX E
Comparison of Simple and Compound Interest
G. Table showing comparison of compound and simple rates of interest
The table below illustrates the effect of applying interest on a sum of £10,000 by three methods:
1. Simple interest at 8% per annum.
2. Compound interest at the Bank of England base rate (as it has varied from month to month) plus 1%.
3. Simple interest at the Bank of England base rate plus 1%.
Graph G shows the same information in line graph form.
MONTH | 8% Simple |
Base rate +1 Compound | Base rate +1 Simple |
September 99 * | 10,067 | 10,052 | 10,052 |
October 99 | 10,134 | 10,104 | 10,104 |
November 99 * | 10,201 | 10,159 | 10,158 |
December 99 | 10,268 | 10,214 | 10,212 |
January 00 * | 10,335 | 10,271 | 10,268 |
February 00 * | 10,402 | 10,331 | 10,326 |
March 00 | 10,469 | 10,391 | 10,384 |
April 00 | 10,536 | 10,452 | 10,442 |
May 00 | 10,603 | 10,513 | 10,500 |
June 00 | 10,670 | 10,574 | 10,558 |
July 00 | 10,737 | 10,636 | 10,616 |
August 00 | 10,804 | 10,698 | 10,674 |
September 00 | 10,871 | 10,760 | 10,732 |
October 00 | 10,938 | 10,823 | 10,790 |
November 00 | 11,005 | 10,886 | 10,848 |
December 00 | 11,072 | 10,950 | 10,906 |
January 01 | 11,139 | 11,014 | 10,964 |
February 01 * | 11,206 | 11,076 | 11,020 |
March 01 | 11,273 | 11,138 | 11,076 |
April 01 * | 11,340 | 11,198 | 11,130 |
May 01 * | 11,407 | 11,256 | 11,182 |
June 01 | 11,474 | 11,315 | 11,234 |
July 01 | 11,541 | 11,374 | 11,286 |
August 01 * | 11,608 | 11,431 | 11,336 |
September 01 * | 11,675 | 11,486 | 11,384 |
October 01 * | 11,742 | 11,539 | 11,430 |
November 01 * | 11,809 | 11,587 | 11,472 |
December 01 | 11,876 | 11,635 | 11,514 |
January 02 | 11,943 | 11,683 | 11,556 |
February 02 | 12,010 | 11,732 | 11,598 |
March 02 | 12,077 | 11,781 | 11,640 |
April 02 | 12,144 | 11,830 | 11,682 |
May 02 | 12,211 | 11,879 | 11,724 |
June 02 | 12,278 | 11,928 | 11,766 |
July 02 | 12,345 | 11,978 | 11,808 |
August 02 | 12,412 | 12,028 | 11,850 |
September 02 | 12,479 | 12,078 | 11,892 |
October 02 | 12,546 | 12,128 | 11,934 |
November 02 | 12,613 | 12,179 | 11,976 |
December 02 | 12,680 | 12,230 | 12,018 |
January 03 | 12,747 | 12,281 | 12,060 |
February 03 * | 12,814 | 12,330 | 12,100 |
March 03 | 12,881 | 12,379 | 12,140 |
April 03 | 12,948 | 12,428 | 12,180 |
May 03 | 13,015 | 12,477 | 12,220 |
June 03 | 13,082 | 12,526 | 12,260 |
July 03 * | 13,149 | 12,573 | 12,298 |
August 03 | 13,216 | 12,620 | 12,336 |
September 03 | 13,283 | 12,667 | 12,374 |
October 03 | 13,350 | 12,715 | 12,412 |
November 03 * | 13,417 | 12,765 | 12,452 |
December 03 | 13,484 | 12,816 | 12,492 |
January 04 | 13,551 | 12,867 | 12,532 |
February 04 * | 13,618 | 12,921 | 12,574 |
March 04 | 13,685 | 12,975 | 12,616 |
April 04 | 13,752 | 13,029 | 12,658 |
May 04 * | 13,819 | 13,086 | 12,702 |
June 04 * | 13,886 | 13,146 | 12,748 |
July 04 | 13,953 | 13,206 | 12,794 |
August 04 * | 14,020 | 13,269 | 12,842 |
Months in which the Bank of England rate changed are shown by an asterix. The relevant changes to the rate were:
September 1999 | 5.25% |
November 1999 | 5.5% |
January 2000 | 5.75% |
February 2000 | 6.0% |
February 2001 | 5.75% |
April 2001 | 5.5% |
May 2001 | 5.25% |
August 2001 | 5.0% |
September 2001 | 4.75% |
October 2001 | 4.5% |
November 2001 | 4.0% |
February 2003 | 3.75% |
July 2003 | 3.5% |
November 2003 | 3.75% |
February 2004 | 4.0% |
May 2004 | 4.25% |
June 2004 | 4.5% |
August 2004 | 4.75% |
H: Graph showing comparison of compound and simple rates of interest
The graph below shows the effect of applying interest on a sum of £10,000 by three methods:
1. Simple interest at 8% per annum.
2. Compound interest at the Bank of England base rate (as it has varied from month to month) plus 1%.
3. Simple interest at the Bank of England base rate plus 1%.
The graph demonstrates that for the first year there is little difference between the three forms of calculation. The 8% simple rate (shown by the line marked by diamonds) rises steeply and evenly, leading to a figure far in excess of the lower rates, both compounded and simple. The lines marked by squares (Bank of England base rate plus 1% compounded) and by triangles (Bank of England base rate plus 1% simple) illustrate best the difference between simple and compound methods of calculation. For the 12 months there is little difference between them, but after that they begin to diverge until after 24 months there is a significantly higher figure for the compounded sum.