Chapter 8: Problem 35
What is the difference between a tax credit and a tax deduction?
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Chapter 8: Problem 35
What is the difference between a tax credit and a tax deduction?
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You would like to have \(\$ 4000\) in four years for a special vacation following college graduation by making deposits at the end of every six months in an annuity that pays \(7 \%\) compounded semiannually. a. How much should you deposit at the end of every six months? b. How much of the \(\$ 4000\) comes from deposits and how much comes from interest?
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? $$ \begin{array}{|l|l|l|l|} \hline \$ \text { at the end of every three months } & 3.5 \% \text { compounded quarterly } & 5 \text { years } & \$ 20,000 \\ \hline \end{array} $$
In Exercises 1-10, use $$ P M T=\frac{P\left(\frac{r}{n}\right)}{\left[1-\left(1+\frac{r}{n}\right)^{-n t}\right]} $$ Round answers to the nearest dollar. Suppose that you decide to borrow \(\$ 40,000\) for a new car. You can select one of the following loans, each requiring regular monthly payments: Installment Loan A: three-year loan at \(6.1 \%\) Installment Loan B: five-year loan at \(7.2 \%\). a. Find the monthly payments and the total interest for \(\operatorname{Loan} A\). b. Find the monthly payments and the total interest for Loan B. c. Compare the monthly payments and the total interest for the two loans.
Suppose that you are buying a car for \(\$ 60,000\), including taxes and license fees. You saved \(\$ 10,000\) for a down payment. The dealer is offering you two incentives: Incentive \(\mathrm{A}\) is \(\$ 5000\) off the price of the car, followed by a five-year loan at \(734 \%\). Incentive \(\mathrm{B}\) does not have a cash rebate, but provides free financing (no interest) over five years. What is the difference in monthly payments between the two offers? Which incentive is the better deal?
In Exercises 1-10, use $$ P M T=\frac{P\left(\frac{r}{n}\right)}{\left[1-\left(1+\frac{r}{n}\right)^{-n t}\right]} $$ Round answers to the nearest dollar. Suppose that you borrow \(\$ 10,000\) for four years at \(8 \%\) toward the purchase of a car. Find the monthly payments and the total interest for the loan.
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