Youngs want to know the cost of college education for the two children so that they can approach Angel’s father about fully funding 529 Plans. The current cost of education is $35,000 per year in today’s dollars and the inflation rate is expected to be 5%. They expect the children to be in school for 6 years each, and while they don’t know, they expect the 529 Plan’s investment rate to be 8.5%. Step 1: Calculate the inflation-adjusted, six-year cost of each child’s college education N = i = FV = PMT = PV=   Step 2: Calculate the present value of the lump-sum cost of each child’s six years of college. For the 4 old For the 2 year old FV = FV = N = N = i = i = PMT = PMT = PV = PV = Total PV of two children: Step 3: Calculate the payment needed to each child’s 529 Plan For the 4 old For the 2 year old PV = PV = N = N = i = i = FV = FV = PMT = PMT = Total annual cost of savings:         Your recommendations:

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Youngs want to know the cost of college education for the two children so that they can approach Angel’s father about fully funding 529 Plans. The current cost of education is $35,000 per year in today’s dollars and the inflation rate is expected to be 5%. They expect the children to be in school for 6 years each, and while they don’t know, they expect the 529 Plan’s investment rate to be 8.5%.

Step 1: Calculate the inflation-adjusted, six-year cost of each child’s college education

N =

i =

FV =

PMT =

PV=

 

Step 2: Calculate the present value of the lump-sum cost of each child’s six years of college.

For the 4 old

For the 2 year old

FV

=

FV

=

N

=

N

=

i

=

i

=

PMT

=

PMT

=

PV

=

PV

=

  • Total PV of two children:

Step 3: Calculate the payment needed to each child’s 529 Plan

For the 4 old

For the 2 year old

PV

=

PV

=

N

=

N

=

i

=

i

=

FV

=

FV

=

PMT

=

PMT

=

  • Total annual cost of savings:

 

 

 

 

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