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Cost of a Loan
Stage 5 - Year 10
Cost of a loan – Compound vs Flat Interest

        Be Careful
                          10% Compound
 10% Flat Interest    ≠      Interest

          Financial Institution
       often quote either or both
               to confuse
                  YOU

                                             2
Cost of a loan – Compound vs Flat Interest
               Annual Interest Rates
    Reducible   Equivalent Flat Interest Rate %
     Rate %   1 yr 2 yr 3 yr        20 yr 25 yr
        6     3.28 3.18 3.17 … 3.60 3.73
        7     3.83 3.73 3.72 … 4.30 4.48
        8     4.39 4.27 4.27 … 5.04 5.26
        9     4.94 4.83 4.83 … 5.80 6.07
       10     5.50 5.37 5.39 … 6.58 6.90
       11     6.06 5.93 5.95 … 7.39 7.76
       12     6.62 6.49 6.52 … 8.21 8.64            Best
 A Bank offers a loan for 20 years at 10% reducible.
 A Credit Union offers a loan for 20 years at 8% Flat.
                   Which is best?
            10% Reducible = 6.58% Flat
                                                           3
Cost of a loan – Compound vs Flat Interest
               Annual Interest Rates
    Reducible   Equivalent Flat Interest Rate %
     Rate %   1 yr 2 yr 3 yr        20 yr 25 yr
        6     3.28 3.18 3.17 … 3.60 3.73
        7     3.83 3.73 3.72 … 4.30 4.48
        8     4.39 4.27 4.27 … 5.04 5.26
        9     4.94 4.83 4.83 … 5.80 6.07
       10     5.50 5.37 5.39 … 6.58 6.90
       11     6.06 5.93 5.95 … 7.39 7.76
       12     6.62 6.49 6.52 … 8.21 8.64
  A Bank offers a loan for 20 years at 7% reducible.
 A Credit Union offers a loan for 20 years at 4% Flat.
                    Which is best?              Best
              7% Reducible = 4.3% Flat
                                                         4
Cost of a loan – Compound vs Flat Interest
               Annual Interest Rates
    Reducible   Equivalent Flat Interest Rate %
     Rate %   1 yr 2 yr 3 yr        20 yr 25 yr
        6     3.28 3.18 3.17 … 3.60 3.73
        7     3.83 3.73 3.72 … 4.30 4.48
        8     4.39 4.27 4.27 … 5.04 5.26
        9     4.94 4.83 4.83 … 5.80 6.07
       10     5.50 5.37 5.39 … 6.58 6.90
       11     6.06 5.93 5.95 … 7.39 7.76
       12     6.62 6.49 6.52 … 8.21 8.64
                                                   Equal
  A Bank offers a loan for 20 years at 12% reducible.
A Credit Union offers a loan for 20 years at 8.21% Flat.
                    Which is best?              Equal
              7% Reducible = 8.21% Flat
                                                           5
Cost of a loan – Monthly Repayments

     Reducible      Monthly Payment per $1000
      Rate %      1 yr 2 yr 3 yr          20 yr    25 yr
         6       88.07 44.32 30.42 …       7.16     6.44
         7       86.53 44.77 30.88 …      7.75      7.07
         8       86.99 45.23 31.34 …      8.36      7.72
         9       87.45 45.68 31.80 …      9.00      8.39
        10       87.92 46.14 32.27 …      9.65      9.09
        11       88.38 46.61 32.74 …      10.32     9.80
        12       88.85 47.07 33.21 …      11.01    10.53
A Bank offers a $110,000 loan for 20 years at 11% reducible.

        Monthly Repayment = 110 x $10.53
                            Thousands
                           = $1158.30 per month.
                                                           6
Cost of a loan – Monthly Repayments

    Reducible      Monthly Payment per $1000
     Rate %      1 yr 2 yr 3 yr          20 yr    25 yr
        6       88.07 44.32 30.42 …       7.16     6.44
        7       86.53 44.77 30.88 …      7.75      7.07
        8       86.99 45.23 31.34 …      8.36      7.72
        9       87.45 45.68 31.80 …      9.00      8.39
       10       87.92 46.14 32.27 …      9.65      9.09
       11       88.38 46.61 32.74 …      10.32     9.80
       12       88.85 47.07 33.21 …      11.01    10.53
A Bank offers a $120,000 loan for 25 years at 9% reducible.

       Monthly Repayment = 120 x $8.39
                           Thousands
                          = $1006.80 per month.
                                                          7

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cost of a loan

  • 1. Cost of a Loan Stage 5 - Year 10
  • 2. Cost of a loan – Compound vs Flat Interest Be Careful 10% Compound 10% Flat Interest ≠ Interest Financial Institution often quote either or both to confuse YOU 2
  • 3. Cost of a loan – Compound vs Flat Interest Annual Interest Rates Reducible Equivalent Flat Interest Rate % Rate % 1 yr 2 yr 3 yr 20 yr 25 yr 6 3.28 3.18 3.17 … 3.60 3.73 7 3.83 3.73 3.72 … 4.30 4.48 8 4.39 4.27 4.27 … 5.04 5.26 9 4.94 4.83 4.83 … 5.80 6.07 10 5.50 5.37 5.39 … 6.58 6.90 11 6.06 5.93 5.95 … 7.39 7.76 12 6.62 6.49 6.52 … 8.21 8.64 Best A Bank offers a loan for 20 years at 10% reducible. A Credit Union offers a loan for 20 years at 8% Flat. Which is best? 10% Reducible = 6.58% Flat 3
  • 4. Cost of a loan – Compound vs Flat Interest Annual Interest Rates Reducible Equivalent Flat Interest Rate % Rate % 1 yr 2 yr 3 yr 20 yr 25 yr 6 3.28 3.18 3.17 … 3.60 3.73 7 3.83 3.73 3.72 … 4.30 4.48 8 4.39 4.27 4.27 … 5.04 5.26 9 4.94 4.83 4.83 … 5.80 6.07 10 5.50 5.37 5.39 … 6.58 6.90 11 6.06 5.93 5.95 … 7.39 7.76 12 6.62 6.49 6.52 … 8.21 8.64 A Bank offers a loan for 20 years at 7% reducible. A Credit Union offers a loan for 20 years at 4% Flat. Which is best? Best 7% Reducible = 4.3% Flat 4
  • 5. Cost of a loan – Compound vs Flat Interest Annual Interest Rates Reducible Equivalent Flat Interest Rate % Rate % 1 yr 2 yr 3 yr 20 yr 25 yr 6 3.28 3.18 3.17 … 3.60 3.73 7 3.83 3.73 3.72 … 4.30 4.48 8 4.39 4.27 4.27 … 5.04 5.26 9 4.94 4.83 4.83 … 5.80 6.07 10 5.50 5.37 5.39 … 6.58 6.90 11 6.06 5.93 5.95 … 7.39 7.76 12 6.62 6.49 6.52 … 8.21 8.64 Equal A Bank offers a loan for 20 years at 12% reducible. A Credit Union offers a loan for 20 years at 8.21% Flat. Which is best? Equal 7% Reducible = 8.21% Flat 5
  • 6. Cost of a loan – Monthly Repayments Reducible Monthly Payment per $1000 Rate % 1 yr 2 yr 3 yr 20 yr 25 yr 6 88.07 44.32 30.42 … 7.16 6.44 7 86.53 44.77 30.88 … 7.75 7.07 8 86.99 45.23 31.34 … 8.36 7.72 9 87.45 45.68 31.80 … 9.00 8.39 10 87.92 46.14 32.27 … 9.65 9.09 11 88.38 46.61 32.74 … 10.32 9.80 12 88.85 47.07 33.21 … 11.01 10.53 A Bank offers a $110,000 loan for 20 years at 11% reducible. Monthly Repayment = 110 x $10.53 Thousands = $1158.30 per month. 6
  • 7. Cost of a loan – Monthly Repayments Reducible Monthly Payment per $1000 Rate % 1 yr 2 yr 3 yr 20 yr 25 yr 6 88.07 44.32 30.42 … 7.16 6.44 7 86.53 44.77 30.88 … 7.75 7.07 8 86.99 45.23 31.34 … 8.36 7.72 9 87.45 45.68 31.80 … 9.00 8.39 10 87.92 46.14 32.27 … 9.65 9.09 11 88.38 46.61 32.74 … 10.32 9.80 12 88.85 47.07 33.21 … 11.01 10.53 A Bank offers a $120,000 loan for 25 years at 9% reducible. Monthly Repayment = 120 x $8.39 Thousands = $1006.80 per month. 7