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    Give your answers in this question correct to the nearest whole number.Imon invested 25 000 Singapore dollars (SGD) in a fixed deposit account with a nominalannual interest rate of 3.6%, compounded monthly.

    Question
    SLPaper 1

    Give your answers in this question correct to the nearest whole number.

    Imon invested 25 000 Singapore dollars (SGD) in a fixed deposit account with a nominalannual interest rate of 3.6%, compounded monthly.

    1.

    Calculate the value of Imon’s investment after 5 years.

    [3]
    Verified
    Solution

    * This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

    FV=25 000×1+3.6100×1212×5 (M1)(A1)

    Note: Award (M1) for substituted compound interest formula, (A1) for correct substitutions.

    OR

    N=5
    I%=3.6
    PV=∓25 000
    P/Y=1
    C/Y=12 (A1)(M1)

    Note: Award (A1) forC/Y=12 seen, (M1) for all other correct entries.

    OR

    N=60
    I%=3.6
    PV=∓25 000
    P/Y=12
    C/Y=12 (A1)(M1)

    Note:Award(A1)forC/Y=12seen,(M1)forallother correct entries.

    FV=29 922SGD (A1) (C3)

    Note: Do not award the final (A1) if answer is not given correct to the nearest integer.

    [3 marks]

    2.

    At the end of the 5 years, Imon withdrew xSGD from the fixed deposit account andreinvested this into a super-savings account with a nominal annual interest rate of5.7%, compounded half-yearly.

    The value of the super-savings account increased to 20 000SGD after 18 months.

    Find the value of x.

    [3]
    Verified
    Solution

    20 000=PV×1+5.7100×22×1.5 (M1)(A1)

    Note: Award (M1) for substituted compound interestequated to 20 000. Award(A1) for correct substitutions.

    OR

    N=1.5
    I%=5.7
    FV=±20 000
    P/Y=1
    C/Y=2 (A1)(M1)

    Note: Award (A1) forC/Y=2 seen, (M1) for all other correct entries.

    OR

    N=3
    I%=5.7
    FV=±20 000
    P/Y=2
    C/Y=2 (A1)(M1)

    Note:Award(A1)for C/Y=2seen,(M1)forallother correct entries.

    x=18 383SGD (A1) (C3)

    Note: Do not award the final (A1) if answer is not given correct to the nearest integer (unless already penalized in part(a)).

    [3 marks]

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