Investing Data Crunch

MATH: Rule(72)

In this activity, students will be able to:

  • Use function notation
  • Calculate how long it will take an investment to double using the rule of 72


Source: NGPF

MATH: Return on Investment

In this activity, students will be able to:

  • Calculate return on investment (percent growth) using order of operations.


Source: NGPF

MATH: Active vs Passive Funds

In this activity, students will be able to:

  • Use percentages to calculate an investment’s annual growth.
  • Apply the compound interest formula to calculate the growth of investments over multiple years.
  • Analyze how investment fees impact long-term returns.


Source: NGPF

MATH: Exponential Growth in Investments

In this activity, students will be able to:

  • Write and solve exponential equation about investment growth over time.


Source: NGPF

MATH: Standard Deviation in Stock and Bonds

In this activity, students will be able to:

  • Calculate standard deviation from a data set
  • Use standard deviation to compare the risk of investing in stocks and bonds.


Source: NGPF

MATH: Rule of 110 and Function Composition

In this activity, students will be able to:

  • Use function composition
  • Determine what percentage of an investor’s portfolio should be invested in stock based on their age


Source: NGPF

MATH: Using Regression to Analyze Stocks

In this activity, students will be able to:

  • Use a calculator to find the line-of-best fit for a data set.
  • Analyze the key values in a linear regression, including the slope, y-intercept, and r-squared value.
  • Use linear regression to analyze and compare short-term stock returns.


Source: NGPF

MATH: Yield to Maturity

In this activity, students will be able to:

  • Solve multi-step equations using order of operations.
  • Apply the formula for yield to maturity to find the rate of return, coupon rate, face value, price, or years to maturity for a bond.


Source: NGPF

DATA CRUNCH: Are Stocks a Risky Long-Term Investment?

In this activity, students will be able to:

  • Use a chart of historical stock market returns to analyze the risk of investing over different time horizons.


Source: Wisdom Tree Asset Management

DATA CRUNCH: How Does Your Asset Mix Impact Your Returns?

In this activity, students will be able to:

  • Compare the best, worst, and average annual returns over a 20 year period for portfolios with a different allocations of stocks and bonds.
  • Consider the risks and returns of investing in stocks and bonds.


Source: Vanguard

DATA CRUNCH: How Successful Is the Average Investor?

In this activity, students will be able to:

  • Analyze a bar chart of the historical returns of different asset classes
  • Compare the average investor’s returns to the S&P 500 and other investment options.


Source: JP Morgan

DATA CRUNCH: What Have Stock Market Returns Been Over the Past Ninety Years?

In this activity, students will be able to:

  • Analyze a historgram of stock market returns over 90 years.


Source: Slickcharts

DATA CRUNCH: What’s Been The Best Investment Since 1926?

In this activity, students will be able to:

  • Analyze the annual returns of small stocks, large stocks, government bonds and treasury bills over 90 years, compared to inflation.
  • Interpret the potential risk of an investment type based on the graph of its long-term returns.


Source: Ibbotson Associates