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9. 12 points HarMathAp11 6.4.039 My Notes Ask Your Teacher Juanita Domingos parents want to establish a college trust for he

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(a). Since the first withdrawal is to be made 3 months from now, it is the case of an annuity due.

(b). The formula for computing the present value of an annuity due is PV = P+P[ 1-(1+r)-(n-1)]/r where P is the periodic payment, r is the interest rate per period and n is the number of periods.

Here, P = $ 2500, n = 16 and r = 7/400. Then PV = 2500 +2500*(400/7)[ 1-(1+7/400)-15] = 2500+1000000*(1-0.770874591) = 2500+1000000*0.229125408 = 2500 + 229125.41 = $ 231625.41( on rounding off to the nearest cent).

Thus, Juanita Domingo’s parents must deposit $ 231625.41 now.

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