Question 1194734
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We'll be using a future value of an annuity
The formula is
FV = P*( (1+i)^n - 1 )/i
We'll be using the ordinary annuity and not the "annuity due" variation.


FV = future value
P = payment per period
i = interest rate per period (in decimal form)
n = number of periods


In this case, each period is one quarter (aka 3 months, since 12/4 = 3).


We know the following:
FV = 900,000 = amount we want at a later future date
i = 0.054/4 = 0.0135 which is exact
n = 35*4 = 140 quarters


Let's solve for P.
FV = P*( (1+i)^n - 1 )/i
900,000 = P*( (1+0.0135)^140 - 1 )/0.0135
900,000 = P*410.088990826382
P = (900,000)/410.088990826382
P = 2194.64560164462
P = <font color=red>2194.65</font>


Answer: You should deposit <font color=red>$2,194.65</font> at the end of each quarter, do so for 140 quarters (aka 35 years), to accumulate $900,000 which is composed of the deposits plus added interest.


The tutor @Theo offers a great calculator to check your answer. The answer is highlighted in red in their screenshot; however, the payment amount should be a positive number. 
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