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18 of 33 Concepts completed Fill in the Blank Question To determine the present value of \( \$ 2,000 \) invested at the end of each year at a rate of \( 6 \% \) compounded annually over 10 years using the financial calculator app shown in the textbook requires entering the following information. Enter the correct amountPresent Value \( =( \) leave blank \( ) \) Payment = \( \square \) Future Value = \( \square \) Annual Rate (\%) \( \square \) Periods = \( \square \) Compounding = Annually

Ask by Davies Todd. in the United States
Feb 21,2025

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- Present Value \( = ( \) leave blank \( ) \) - Payment \( = 2000 \) - Future Value \( = 0 \) - Annual Rate (\%) \( = 6 \) - Periods \( = 10 \) - Compounding \( = \) Annually

Solution

To determine the present value of an annuity (in this case, \( \$ 2,000 \) invested at the end of each year), we need to fill in the blanks with the appropriate values for the financial calculator. 1. **Present Value (PV)**: This is what we are trying to find, so we leave this blank for now. 2. **Payment (PMT)**: This is the amount invested at the end of each year, which is \( \$ 2,000 \). 3. **Future Value (FV)**: Since we are calculating the present value of the annuity, we typically set this to \( 0 \) because we are not looking for a future value at the end of the investment period. 4. **Annual Rate (%)**: This is the interest rate per period, which is \( 6\% \). 5. **Periods**: This is the total number of investment periods, which is \( 10 \) years. 6. **Compounding**: This is specified as annually. Now, we can summarize the information to fill in the blanks: - Present Value \( = ( \) leave blank \( ) \) - Payment \( = 2000 \) - Future Value \( = 0 \) - Annual Rate (\%) \( = 6 \) - Periods \( = 10 \) - Compounding \( = \) Annually So the filled-in information would look like this: - Present Value \( = ( \) leave blank \( ) \) - Payment \( = 2000 \) - Future Value \( = 0 \) - Annual Rate (\%) \( = 6 \) - Periods \( = 10 \) - Compounding \( = \) Annually

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To calculate the present value of an annuity like your \( \$ 2,000 \) payments at \( 6\% \) over \( 10 \) years, you'll need to fill in the following details on your financial calculator app. For the Present Value, you should leave it blank since that's what you're solving for. For Payment, you'll enter \( 2000 \). Future Value can be left blank if you're only interested in present value. The Annual Rate should be filled with \( 6\), and the Periods will be \( 10\). Don't forget to double-check your inputs and remember that the results can be quite sensitive to slight changes in the interest rate or payment! Slipping on a number may lead to an unexpected outcome. Happy calculating!

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