## Related questions with answers

Question

Find the present value of $59,673 due in 5 years at an interest rate of$8% / yea compounded continuously.

Solution

VerifiedStep 1

1 of 2We will find the present value from the formula

$\begin{equation*} \boxed{\pmb{A=Pe^{rt}}} \end{equation*}$

where

$\begin{align*} A&=\$59673\\ t&=5\\ r&=0.08 \end{align*}$

From

$\begin{equation*} 59673=P\cdot e^{5\cdot 0.08} \end{equation*}$

we proceed to solve for $P$

$\begin{align*} P&=59673\cdot e^{-5\cdot 0.08}\Rightarrow\textcolor{#c34632}{P=\$40000} \end{align*}$

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