Page 38 - Profile's Unit Trusts & Collective Investments - March 2025
P. 38

CHAPTER 2

                                              Chart 2.2
                     Value of R10 000 invested over various periods and interest rates
              Interest   5 years    10 years   15 years    20 years   25 years    30 years
                5.0%      12 834      16 470     21 137     27 126      34 813     44 677
                7.5%      14 533      21 121     30 695     44 608      64 829     94 215
               10.0%      16 453      27 070     44 539     73 281     120 569    198 374
               12.5%      18 622      34 678     64 579     120 260    223 950    417 043
               15.0%      21 072      44 402     93 563     197 155    415 441    875 410
         Interest rates per annum, paid monthly, interest compounded.
                                              Chart 2.3
                  Value of R100 per month invested over various periods and interest rates
                 Interest   5 years   10 years   15 years   20 years   25 years   30 years
            Total invested    6 000     12 000     18 000     24 000    30 000     36 000
                   5.0%       6 829     15 593     26 840     41 275    59 799     83 573
                   7.5%       7 298     17 904     33 318     55 719    88 274    135 587
                  10.0%       7 808     20 655     41 792     76 570    133 789   227 933
                  12.5%       8 363     23 938     52 941    106 952    207 531   394 831
                  15.0%       8 968     27 866     67 686    151 595    328 407   700 982
         Interest rates per annum, paid monthly, interest compounded.

            Most interest-bearing investments pay monthly or daily interest, but rates quoted are always
         annual. So a fixed deposit which pays 10% p.a. paid monthly actually adds one twelfth of 10% of
         the account balance at the end of each month. This would be referred to as a monthly compound
         return. If interest is paid daily, 1/365th of 10% of the account balance is added daily.
            Due to the impact of “interest on interest”, the effective annual rate increases slightly the more
         frequent the compounding rate.
            An extra R10 at the end of year two in the example above might seem insignificant, but the
         power of compounding over time is truly remarkable.
            Consider an investment of R100 000 earning 10% p.a. over 20 years. Without reinvestment
         and compounding, the investor receives R10 000 interest every year for a total of R200 000 over 20
         years. With the original capital, that equals R300 000 in total. (Obviously the investor has had use
         of the annual income over the period, but we will ignore this for now.) With automatic
         reinvestment and monthly compounding, R100 000 grows to an amazing R732 807 over 20 years –
         more than double the return without reinvestment and compounding.
            Combining a monthly debit order with the power of compounding produces even more
         spectacular results. R100 a month for 30 years grows to a total of over R700 000 at an interest rate
         of 15% p.a. (paid monthly) if automatically reinvested. This figure is all the more amazing when
         you consider that the total amount invested over the 30 years totals just R36 000.

         Structure of a Collective Investment Scheme
            The main elements of a collective investment scheme are illustrated in Chart 2.4.
            Each collective investment scheme (CIS) comprises a number of separate legal entities.
            The portfolio, which might be referred to as the “fund” or “underlying assets” is made up of the
         cash contributions of many individuals, which are invested in shares, bonds, cash, property, or
         other securities. Each participatory interest is in exact proportion to the amount invested by each
         individual. The “pool” of units or shares reflects the proportional ownership of each participatory
         interest. For example, if an individual has an investment worth R10 000 in a fund with a value of
         R1m, the investor has a 1% share of the portfolio. If the NAV unit price on the day is R4 per unit
         (250 000 units in issue), the investor owns 2 500 units worth exactly R10 000 (2 500 x R4 each).



         36                      Profile’s Unit Trusts & Collective Investments — Understanding Unit Trusts
   33   34   35   36   37   38   39   40   41   42   43