FAQ

What is the Index Matrix?

The Index Matrix is an interactive visualization that shows historical investment returns for every possible start and end year for a selected market index.

Each cell represents the annualized return for an investment made at the beginning of the start year and held through the end year.

• Example: 2000–2009 represents investing in January 2000 and holding through December 2009.

What does each cell show?

Each cell displays the annualized return for the selected period.

Hovering over a cell reveals:

• Start year and end year
• Annualized return
• Total return
• Growth of $1 invested

What do the colors represent?

Colors represent the magnitude of the annualized return.

• Red shades indicate negative returns (darker reds = more negative)
• Green shades indicate positive returns (darker greens = stronger returns)

This makes it easy to visually identify strong and weak periods across decades.

Why do some indexes start later than others?

Different asset classes have different historical availability.

• Broad U.S. market data begins around 1927
• Some international or factor indexes begin later (for example 1964 or 1975)

What does the Inflation button do?

The Inflation button converts nominal returns into real (after‑inflation) returns using historical CPI data.

What is the Distribution of Returns drawer?

The Distribution drawer shows a histogram of historical returns for the selected index.

Each stack of bricks represents how often a particular range of annualized returns occurred for a given investment horizon.

This helps answer questions like:

• How often did returns exceed 10%?
• How common were negative returns?
• How does the distribution change as the holding period increases?

Why do longer holding periods show fewer negative outcomes?

Markets fluctuate in the short term but historically become more stable over longer holding periods.

• Short horizons show a wide range of outcomes
• Long horizons narrow toward long‑term averages

What data is used in the matrix?

The matrix is built from annual total returns for each index.

• Cumulative growth
• Total return
• Annualized return
• Inflation‑adjusted return when inflation mode is enabled

Why do some numbers look slightly different from other sources?

Returns are:

• Annualized
• Rounded to three decimal places
• Calculated strictly from calendar-year returns

Different sources may use:

• monthly compounding
• different inflation conventions
• different index reconstructions

These differences can lead to small rounding variations.

What does the Reset button do?

The Reset button returns the matrix or distribution view to its default zoom and fit.

It restores the chart so it fills the available viewing window.

Why does the matrix allow zooming and scrolling?

The matrix can include thousands of return combinations, especially for long datasets.

Zooming allows you to:

• focus on specific periods
• inspect clusters of outcomes
• explore patterns more easily

What does the highlighted range mean?

Clicking a cell highlights the selected start–end period so it remains visible while exploring the matrix.

The highlight helps maintain orientation when zooming or changing settings.

What is the key insight from the matrix?

The matrix visually demonstrates three core investing principles:

1. Timing matters in the short term
2. Time in the market reduces uncertainty
3. Long-term returns historically cluster into a narrower range

The matrix makes these patterns immediately visible.

Is this tool for investment advice?

No.

The Index Matrix is intended for education and historical analysis only.

Past performance does not guarantee future results.

Who created the Index Matrix?

The Index Matrix was developed by Jeff Troutner as a visual tool to explore long-term investment return patterns.