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Calculate total return, annualized return (CAGR), and doubling time for any investment.
Rate of Return Formulas:
Total Return = (Ending Value + Income − Beginning Value) / Beginning Value × 100
CAGR = ((Ending / Beginning)^(1/years) − 1) × 100
Rule of 72: Years to double = 72 / Annual Return %
Total return is the overall percentage gain or loss over the entire period. Annualized return (CAGR) converts this to a per-year equivalent. A 100% total return over 10 years equals a 7.18% annual return.
Compound Annual Growth Rate (CAGR) is the rate at which an investment grows each year over a specified period, assuming profits are reinvested. It is the smoothed annual return and does not show year-to-year volatility.
The Rule of 72 estimates how long it takes to double money. Divide 72 by the annual return percentage. At 8% annual return, money doubles in 72/8 = 9 years. It is a quick mental math approximation.
Yes. Total return should always include dividends, interest, and other income distributions. Ignoring dividends understates performance. Dividend-paying stocks' total returns have historically exceeded price-only returns significantly.
Real return = nominal return minus inflation rate. If your investment earns 8% but inflation is 3%, your real return is approximately 5%. Real return matters more than nominal return for preserving purchasing power.
A benchmark is a standard, like the S&P 500, used to compare investment performance. If your portfolio returned 6% while the S&P 500 returned 10%, you underperformed. Consistent underperformance suggests passive index investing would be better.