If you were to invest $2,000 each year for the next 35 years, then rate of return required for your investment to be worth $2,000,000 is 15.53%.
The value of a series of payments at a specific future date and a specific interest rate, known as the discount rate, make up an annuity's future value. The subsequent years or months see regular payments being made.
$2000000=$2000*(1+r)35-1
1+r
(1+r)35-1 = $2000000 = $ 1000
1+r $2000
(1+r)=r=x-1
x35-1 = 1000
x-1
x35 -1000+999=0
x=-1.2467,1.1553
x=1.1153 ( since x=1+r>1 )
r=x-1
1.1553-1
=0.1553
=15.53%
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