Ordinary Simple Annuity Demonstration

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2019-02-22 21:37

Function Probability & Statistics Geometric Construction

This example demonstrates the calculation and visualization of ordinary simple annuities, including principal, interest, and future value. Key math concepts involve interest calculation, compound growth models, and time value of money. Construction highlights include LaTeX commands for formula rendering, VerticalText objects for annotations, variable objects like R, r, i, f for calculations, FV object for future value display, and Slider Animation for dynamic changes. Suitable for high school students and enthusiasts in mathematics, finance, and economics learning compound interest and annuity concepts.

GeoGebra Commands & Parameters

LaTeX((("\text{Annual interest rate = " * r) * "%}")) → lblRate
VerticalText("Future Value in \$1000") → lblYaxis
LaTeX((((("\text{Value in $20$ years = \$" * Take[FVstring, 1, Length[FVstring] - 3]) * " ") * Last[FVstring, 3]) * "}")) → lblFutureValue
LaTeX("{\text{Time in Years}") → lblTime
LaTeX("\text{\textbf{Instructions: }Move the sliders to change the value of the monthly payment and the \\interest rate to see how the future value is affected. }") → SpecInstruc
LaTeX((((("\text{\textbf{Question: }Every month, Xiulan deposits $\$" * R) * "$ into an account that pays ") * r) * "% per year\\compounded monthly. The graph shows the balance of Xiulan's ordinary simple annuity\\over the next $20$ years. What type of growth is taking place?")) → MainInstruc
LaTeX((("\text{Monthly payment = \$" * R) * "}")) → lblR