Chapter 8: Problem 40
What is the future value of a loan and how is it determined?
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Chapter 8: Problem 40
What is the future value of a loan and how is it determined?
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In Exercises 25-30, round to the nearest dollar. Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a master's degree. To achieve this goal, you deposit \(\$ 2000\) at the end of each year in an annuity that pays \(7.5 \%\) compounded annually. a. How much will you have saved at the end of 5 years? b. Find the interest.
In Exercises 1-10, a. Find the value of each annuity. Round to the nearest dollar b. Find the interest.$$ \begin{array}{|l|l|l|} \hline \begin{array}{l} \$ 1000 \text { at the end of } \\ \text { every three months } \end{array} & \begin{array}{l} 6.25 \% \text { compounded } \\ \text { quarterly } \end{array} & 6 \text { years } \\ \hline \end{array} $$
In Exercises 11-18, a. Determine the periodic deposit. Round up to the nearest dollar. b. How much of the financial goal comes from deposits and how much comes from interest? $$ \begin{array}{|l|l|l|l|} \hline \$ ? \text { at the end of every three months } & 4.5 \% \text { compounded quarterly } & 5 \text { years } & \$ 25,000 \\ \hline \end{array} $$
Each group should have a newspaper with current stock quotations. Choose nine stocks that group members think would make good investments. Imagine that you invest \(\$ 10,000\) in each of these nine investments. Check the value of your stock each day over the next five weeks and then sell the nine stocks after five weeks. What is the group's profit or loss over the five-week period? Compare this figure with the profit or loss of other groups in your class for this activity.
In Exercises 11-14, use the formula $$ A=\frac{P\left[\left(1+\frac{r}{n}\right)^{n t}-1\right]}{\left(\frac{r}{n}\right)} $$ Round all computations to the nearest dollar. Suppose that you drive 40,000 miles per year and gas averages \(\$ 4\) per gallon. a. What will you save in annual fuel expenses by owning a hybrid car averaging 40 miles per gallon rather than an SUV averaging 16 miles per gallon? b. If you deposit your monthly fuel savings at the end of each month into an annuity that pays \(5.2 \%\) compounded monthly, how much will you have saved at the end of six years?
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