savings annuities. an annuity is where you make a series of periodic payments into an account. the...
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![Page 1: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/1.jpg)
Savings Annuities
![Page 2: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/2.jpg)
Savings Annuities• An annuity is where you make a series of
periodic payments into an account.• The typical types of accounts are
superannuation and loans.• There are basically two types of annuities.– Future Value –Present Value
![Page 3: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/3.jpg)
Future Value• This is when the lump sum of money will exist
in the FUTURE.• You need to read the question and decide on
when the lump sum will exist.• Then you need to write down the variables.• Which ever one you are missing – is the one
you have to find.
![Page 4: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/4.jpg)
Finding FV
![Page 5: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/5.jpg)
N =
I% =
PV =
Pmt =
FV =
P/Y =
C/Y =
15 x 1
6
0
-600
?
1
1
Solution : $13965.58
![Page 6: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/6.jpg)
Note that PMT is negative
![Page 7: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/7.jpg)
![Page 8: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/8.jpg)
Future Value - n• You need to read the question to make sure
that the LUMP SUM will exist in the FUTURE and there are a series of deposits.
• Write down the variables – check P/Y and C/Y• Enter the data in and solve for n – F1• The answer you get will be in terms of the
number of periods – i.e. number of months.
![Page 9: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/9.jpg)
• There are a regular series of payments – so it has to be an annuity question.
• The money will exist in the FUTURE – so it has to be a future value question.
• We have the FV the PMT, the Rate (I%) – we haven’t got n.
![Page 10: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/10.jpg)
N =
I% =
PV =
Pmt =
FV =
P/Y =
C/Y =
?
6.15
0
-400
15000
12
12
Solution : 34.39
![Page 11: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/11.jpg)
34.39 months
![Page 12: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/12.jpg)
Future Value – I%• You need to read the question to make sure
that the LUMP SUM will exist in the FUTURE and there are a series of deposits.
• Write down the variables – check P/Y and C/Y• Enter the data in and solve for I% – F2• The answer you get will be the rate required.
![Page 13: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/13.jpg)
• There are a regular series of payments – so it has to be an annuity question.
• The money will exist in the FUTURE – so it has to be a future value question.
• We have the FV the PMT, the term – we haven’t got I%.
![Page 14: Savings Annuities. An annuity is where you make a series of periodic payments into an account. The typical types of accounts are superannuation and loans](https://reader035.vdocuments.net/reader035/viewer/2022070307/551b5bbd550346ae7a8b5833/html5/thumbnails/14.jpg)
N =
I% =
PV =
Pmt =
FV =
P/Y =
C/Y =
4 x 4
?
0
-1500
28000
4
4
Solution : 8.08%
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8.08%