Question

How much money does Jessica have in her Education Savings plan if, starting today, she can...

How much money does Jessica have in her Education Savings plan if, starting today, she can withdraw $350 per month for four years and her plan earns 7.2% compounded monthly?

Select one:

a. $16,800

b. $10,782

c. $14,647

d. $11,962

e. $13,494

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Answer #1

Solution

Answer-$14647

This is an annuity due as the first payment is made at the beginning of period

Present value of annuity due=Annuity payment*((1-(1/(1+r)^n))/r)*(1+r)

Where n=number of periods=12*4=48

r=rate of intrest per period=7.2/12=.6% per month

Annuity payment=350

Present value of annuity due=350*((1-(1/(1+.006)^48))/.006)*(1+.006)

=14646.94426

Thus correct answer is 14647

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