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(30 pts) A couple wants to have $80,000 for their daughter to go to college in...

  1. (30 pts) A couple wants to have $80,000 for their daughter to go to college in 15 years from now. How much money should they put in the bank monthly, if they are getting 6% annual interest compounded monthly?
  1. (10 pts) Draw the cash flow diagram.

b) (20 pts) What should be the amount of uniform deposit done monthly?

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Answer #1

Total months = 15 * 12 = 180 months

i = 6% = 6% / 12 = 0.5% per month

Monthly deposit = 80000 * (A/F, 0.5%,180)

= 80000 * 0.005 / ((1 + 0.005)^180-1)

= 80000 * 0.005 / ((1.005)^180-1)

= 80000 * 0.003439

= 275.08

CFD

Withdrawal of 80000 at the end of 180 months i = 0.5% per month 275 deposit per month for 180 months

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