Annuity Payments LG: I can calculate the payment of an annuity in present value and future value...
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Transcript of Annuity Payments LG: I can calculate the payment of an annuity in present value and future value...
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Annuity Payments
LG: I can calculate the payment of an annuity in present value and future value situations
![Page 2: Annuity Payments LG: I can calculate the payment of an annuity in present value and future value situations.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56649dbc5503460f94aaddff/html5/thumbnails/2.jpg)
Recall: Present Value or Future Value?
• Future value – Money is being deposited (paid into) an account
at regular intervals to save for something later on
• Present value– Money is withdrawn from an account at regular
intervals– Principal borrowed for a loan is the present value
of the investment
![Page 3: Annuity Payments LG: I can calculate the payment of an annuity in present value and future value situations.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56649dbc5503460f94aaddff/html5/thumbnails/3.jpg)
FormulasFuture Value Present Value
Rearrange each formula to solve for the payment, R:
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Example 1Brianne wants to save $6000 for a trip she plans to take in 5 years. What regular deposit should she make at the end of every 6 months into an account that earns 6% per year compounded semi-annually?
a) Present value or future value?b) Calculate deposit (payment).
![Page 5: Annuity Payments LG: I can calculate the payment of an annuity in present value and future value situations.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56649dbc5503460f94aaddff/html5/thumbnails/5.jpg)
Example 2Donald borrows $1200 from an electronics store to buy a computer. He will repay the loan in equal monthly payments over 3 years, starting 1 month from now. He is charged 12.5% per year compounded monthly.
a) Present value of future value?b) Determine Donald’s monthly payment.
![Page 6: Annuity Payments LG: I can calculate the payment of an annuity in present value and future value situations.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56649dbc5503460f94aaddff/html5/thumbnails/6.jpg)
Homework
Pg. 430 # 4, 6 - 10