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klemol [59]
3 years ago
15

$100 is deposited at the end of every week for five years in an account that pays 14%/an, compounded weekly. (8) What type of an

nuity is this? Find the future value of the annuity using the formula. Find the future value of the annuity using a spreadsheet. In your answer include the formulas that you typed. Find the future value of the annuity using the TVM solver on a graphing calculator or on a website. In your answer, include what values you typed for each parameter.
Mathematics
1 answer:
Rainbow [258]3 years ago
6 0
Annuities whose payments are made at the end of the period are "ordinary annuity" type

\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]

\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}
\end{array}
\\
pymnt=\textit{periodic payments}\to &100\\
r=rate\to 14\%\to \frac{14}{100}\to &0.14\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{weekly, thus}
\end{array}\to &52\\
t=years\to &5
\end{cases}
\\\\\\
A=100\left[ \cfrac{\left( 1+\frac{0.14}{52} \right)^{52\cdot 5}-1}{\frac{0.14}{52}} \right]
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