Concept used:

Write the expression for the total amount in the account after some time.

\(\displaystyle{A}={P}{\left({e}^{{{r}\times{n}}}\right)}\) .....(I)

Here, the principal amount added in account is P, the rate of compount interest is r and time period is n.

Calculation:

Calculate the amount required to be paid today.

Substitute $10000 for A, \(\displaystyle{15}\%\) for r and 5 for n in Equation (I).

\(\displaystyle\${10000}={P}{\left({e}^{{{\left({0.15}\right)}{\left({5}\right)}}}\right)}\)

\(\displaystyle{P}={\frac{{\${10000}}}{{{\left({2.72}^{{{0.75}}}\right)}}}}\)

\(\displaystyle{P}={\frac{{\${10000}}}{{{2.117}}}}\)

\(\displaystyle{P}=\${4723.66}\)

The amount required to be paid today is $4724.

Write the expression for the total amount in the account after some time.

\(\displaystyle{A}={P}{\left({e}^{{{r}\times{n}}}\right)}\) .....(I)

Here, the principal amount added in account is P, the rate of compount interest is r and time period is n.

Calculation:

Calculate the amount required to be paid today.

Substitute $10000 for A, \(\displaystyle{15}\%\) for r and 5 for n in Equation (I).

\(\displaystyle\${10000}={P}{\left({e}^{{{\left({0.15}\right)}{\left({5}\right)}}}\right)}\)

\(\displaystyle{P}={\frac{{\${10000}}}{{{\left({2.72}^{{{0.75}}}\right)}}}}\)

\(\displaystyle{P}={\frac{{\${10000}}}{{{2.117}}}}\)

\(\displaystyle{P}=\${4723.66}\)

The amount required to be paid today is $4724.