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The future value is the amount an individual will get if invested at a specific interest rate and for a given time.

The future value of the investment is calculated below:

$$\begin{gathered} P=\$100 \\ r=\frac{10}{100} \\ =0.1 \\ n=1 \\ FV=P{\left(1+r\right)}^n \\ =100{\left(1+0.1\right)}^1 \\ =100脳1.1 \\ =\$110 \end{gathered}$$

The future value for $100 after one year will be $110.

Similarly, after two years and five years will be:

$$\begin{gathered} n=2; \\ FV=P{\left(1+r\right)}^n \\ =100{\left(1+0.1\right)}^2 \\ =100脳1.21 \\ =\$121 \\ n=5; \\ FV=P{\left(1+r\right)}^n \\ =100\left(1+0.1\right)5 \\ =100脳1.61051 \\ =\$161.05 \end{gathered}$$

The future value for $100 after two years will be $121, and after five years will be $161.05.

The present value states the worth of an investment today but received at a later time.

The present value of the investment is calculated below:

$$\begin{gathered} FV=\$100 \\ r=\frac{10}{100} \\ PV=FV{\left(1+r\right)}^{-n} \\ =100{\left(1+0.1\right)}^{-1} \\ =100脳0.9091 \\ =\$90.91 \end{gathered}$$

The present value for $100 paid after one year will be $90.91.

Similarly, after two years and five years will be:

$$\begin{gathered} n=2; \\ PV=FV{\left(1+r\right)}^{-n} \\ =100{\left(1+0.1\right)}^{-2} \\ =100脳0.8264 \\ =\$82.64 \\ n=5; \\ PV=FV{\left(1+r\right)}^{-n} \\ =100{\left(1+0.1\right)}^{-5} \\ =100脳0.6209 \\ =\$62.09 \end{gathered}$$

The present value for $100 paid after two years will be $82.64, and paid after five years will be $62.09.