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help plz
2) (30 pts) A couple wants to have $1,200,000 for retirement in 30 years from now. How much money should they put in the bank
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Answer #1

Number of months = 30 x 12 = 360

(a)

Cash flow diagram for monthly deposit of $D is as follows.

3 4 358 359 1200000

(b)

Monthly nominal interest rate = 4%/12 = 0.33%

Required deposit ($) = 1,200,000 / F/A(0.33%, 360) = 1,200,000 / 689.1223** = 1,741.35

**F/A(0.33%, 360) = [(1.0033)360 - 1] / 0.0033 = (3.2741 - 1) / 0.0033 = 2.2741 / 0.0033 = 689.1223

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