普通简单年金计算与演示

几何画板及绘图内容加载中，请稍等……

2019-02-22 21:37

函数概率统计几何作图

①本范例演示普通简单年金的本金、利息及未来价值的计算与可视化；②涉及核心数学概念包括利息计算、复利增长模型、时间价值评估；③作图要点运用了 LaTeX 命令进行公式渲染、VerticalText 对象添加文本说明、R, r, i, f 等变量对象构建计算模型、FV 对象展示未来价值、滑块动画 Slider Animation 展示动态变化；④适合高中及以上数学、金融、经济学学生及爱好者学习复利与年金知识。

GeoGebra 命令及参数

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