Answer:
The amount needed to be deposited today = $13184.93
Explanation:
From the given information;
You need to have $33,250 in 20 years.
Annual interest rate :
4 percent for the first 6 years
4.6 percent for the next 5 years
5.3 percent for the final 9 years
The amount needed to be deposited today =
[tex]\dfrac{33250}{(1+\dfrac{4}{100})^6 \times (1+\dfrac{4.6}{100} )^5 \times (1+\dfrac{5.3}{100} )^9 }[/tex]
The amount needed to be deposited today = [tex]\dfrac{33250}{(1+0.04)^6 \times (1+ 0.046 )^5 \times (1+0.053 )^9 }[/tex]
The amount needed to be deposited today = [tex]\dfrac{33250}{(1.04)^6 \times (1.046 )^5 \times (1.053 )^9 }[/tex]
The amount needed to be deposited today = [tex]\dfrac{33250}{1.265319018 \times 1.252155953 \times 1.591678466 }[/tex]
The amount needed to be deposited today = $13184.93
