in 3 years Donald wants to buy a bicycle that costs 600.00 if he opens a savings account that earns 4% interest compounded quarterly how much will he have to despoit as principal to have enough money in 3 years to buy the bike

Respuesta :

We want the future value to be $600. With an interest of 4% quarterly in 3 years, we have the following information:

[tex]\begin{gathered} FV=600 \\ i=0.04 \\ t=3 \\ n=4 \end{gathered}[/tex]

Then we apply the following formula:

[tex]PV=\frac{FV}{(1+\frac{i}{n})^{n\cdot t}}[/tex]

therefore, we have that:

[tex]PV=\frac{600}{(1+\frac{0.04}{4})^{4\cdot3}}=\frac{600}{(1.01)^{12}}=532.46[/tex]

therefore, Donald would have to deposit $532.46 as principal.