Your child is planning attend summer camp for 3 months, starting 12 months from now. The cost for camp is $2,676 per month, each month, for the 3 months she will attend. If your investments earn 2.3% APR (compounded monthly), how much must you invest each month, starting next month, for 3 months such that your investment will grow to just cover the cost of the camp

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facundobuzzetti facundobuzzetti · Answer 1 · 2021-05-12T03:06:08+02:00

Answer:

Monthly deposit= $2,625.16

Explanation:

Giving the following information:

Total cost= 2,676*3= $8,028

Monthly interest rate0 0.023/12= 0.00192

First, we need to calculate the nominal value required at the end of the third month:

PV= FV / (1 + i)^n

FV= 8,028

i= 0.00192

n= 9 months

PV= 8,028 / (1.00192^9)

PV= $7,890.6

Now, the monthly investment to reach $7,890.6:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (7,890.6*0.00192) / [(1.00192^3) - 1]

A= $2,625.16