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Scottish Law Commission (Discussion Papers)


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.

    Diagram H

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URL: http://www.bailii.org/scot/other/SLC/DP/2005/127(appendix_e).html