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Casio 9860 Self-Guided Instructions – TVM Mode
TVM stands for 'Time, Value, Money'. TVM is the Financial Mode on the calculator. However, Financial
Mathematics questions can also be performed in RUN, EQUA and SSHT modes.
TVM is fantastic for investigating financial scenarios and is very easy to use when dealing with annuity
investment and loan scenarios. However, it is important to realize TVM is essentially a 'black-box' …
The TVM protocols to be used are: n = number of time intervals (could be 8 years or 32 quarters or 96 months) I% = the per annum interest rate, as a percentage eg 11.5% is entered as 11.5 (not 0.115) PV = Present Value PMT = Payment, per time period FV = Future Value P/Y = It is best to consider both P/Y and C/Y as the number of compounding periods per year; ie both values will always be identical. (P/Y is meant to stand for 'payments/year' but this does
Fig2 Below are two examples that involve a once-only investment that receives compound interest. Example 1: A sum of $2 000 is invested at 8%pa interest, compounded monthly, for 20 years. What is the future value of this investment? Fig3 Enter the values as they appear in the question, pressing EXE after each entry. Leave FV as the pre-existing value. Check your entries with Fig2 NOTES: n=20x12; is the number of months. A good habit for students to enter n as (eg 20x12) so as to
Fig7 Press EXIT to view solution in previous screen. (Fig7) Below is an example that involves repeated investments (an annuity) that receives compound interest. Example 1a): A sum of $2 000 is invested at the end of every year, at 8%pa interest, compounded yearly, for 20 years. What is the future value of this investment? Enter the values as they appear in the question, pressing EXE after each entry. Check your entries with Fig8. Fig8 NOTES: n=20 (years)
Fig12 NOTES: All that needs to change from the Q1a) entries is PMT to be changed to zero! The FV for 1b) is the same FV as in 1a). Now press F3 for PV (Present Value). See Fig12. Fig13 Press EXIT to view in original screen (Fig13) Note that PV is negative, not positive, because the money is leaving your pocket to make the single investment. A single investment of $19 636.29 NOW will produce the same result in 20 years. "Don't students get confused when being taugh
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