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Calculate the amount Curwin can withdraw at the end of each six-month period from a R3 003 650 savings over 15 years at 8.4% compounded half-yearly.

Mathematics

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To determine how much Curwin can withdraw at the end of each six-month period, we need to use the present value of an ordinary annuity formula.

Step 1: Identify the given values and parameters.

  • Present Value (PVPV) = R3 003 650.00 (the amount saved)
  • Annual interest rate = 8.4%
  • Compounding frequency = half-yearly (2 times per year)
  • Withdrawal frequency = half-yearly (2 times per year)
  • Time period = 15 years
  • The first withdrawal is at the end of six months, indicating an ordinary annuity.
  • No money will be left after 15 years (FV=0FV = 0).
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