1.4 Financial applications of geometric sequences

1.4 Financial applications of geometric sequences Quiz

IB Maths: Analysis and Approaches SL: Quiz

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  1. 1. 1000 USD is invested at 8% per year compounded quarterly for 2 years. Find the final value.

    • A. 1171.66 USD
    • B. 1166.40 USD
    • C. 1160.00 USD
    • D. 1368.57 USD
  2. 2. A machine bought for 50 000 AED depreciates 10% per year. What is it worth after 3 years?

    • A. 36 450 AED
    • B. 35 000 AED
    • C. 66 550 AED
    • D. 45 000 AED
  3. 3. Interest is 5% and inflation is 3% per year. Using the real-rate approach, what rate gives the real value?

    • A. 2%
    • B. 8%
    • C. 1.67%
    • D. 15%
  4. 4. Which gives the largest value after 1 year on 1000 EUR?

    • A. 6% compounded monthly
    • B. 6% compounded annually
    • C. 6% compounded half-yearly
    • D. 6% simple interest
  5. 5. 20 000 EUR is invested at 4.5% compounded half-yearly. Which expression gives the value after 6 years?

    • A. 20 000(1.0225)1220\,000(1.0225)^{12}
    • B. 20 000(1.045)1220\,000(1.045)^{12}
    • C. 20 000(1.0225)620\,000(1.0225)^{6}
    • D. 20 000(1.09)620\,000(1.09)^{6}

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