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