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5 June, 20:04

Bruce and Karen have a new-born baby, Lisa. Generous grandparents have made a gift of $15 000 available for Lisa. Bruce and Karen have decided to invest this in trust for Lisa so that on her 21st birthday she will have a deposit to buy a one-bedroom home unit. Bruce and Karen are considering making additional annual payments to the trust account, in order to increase the deposit amount to 40% of the expected price of the unit. Assume that the current price of a one-bedroom home unit is $220 000 and that property prices grow at 3% p. a. Assume that the trust account receives interest at 6.5% p. a. b) How much must Bruce and Karen contribute each year to achieve the desired deposit amount of 40% of the unit's expected purchase price?

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  1. 5 June, 22:06
    0
    Amount gifted (PV) $15,000

    Number of time periods in years (n) 21

    Interest rate pa (i) 6.50%

    Future Value of gift = 15,000 * (1.065) ^21

    = $56,290

    Current price of unit (PV) $220,000

    Expected price growth (inflation) (i) 3%

    Expected future value of unit = $220,000 * (1.03) ^21 = $409,265

    Desired deposit 40%

    The projected deposit = $409,265*0.4 = $163,706

    Yearly contribution required = $2,536.45
  2. 5 June, 22:50
    0
    By using a banking calculator, the additional contribution required each year is equal to $2,536.
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