How to Calculate Percentage Increase on Investment Returns (And Why Your Broker's Math Might Be Wrong)

The Core Formula Most Brokers Quietly Distort

The percentage increase on any investment equals (Ending Value - Beginning Value) / Beginning Value, multiplied by 100. That is the holding period return. It tells you the total gain as a fraction of your original capital. Nothing more.

Where broker statements diverge: many platforms report this figure without clarifying whether it includes dividends, adjusts for fees, or accounts for additional contributions made during the holding period. Each omission changes the number materially.

A $10,000 position that grows to $13,400 over 3 years produces a holding period return of 34.0%. That is accurate. But if you received $600 in dividends that were reinvested, the correct numerator becomes $4,000 ($13,400 - $10,000 + $600 in dividends already reflected in ending value). The formula still works. The problem is when dividends are paid to a separate cash account and excluded from the ending value entirely. In that scenario, reporting $13,400 as the ending value understates real return by the full $600 dividend stream.

Worked Example 1: The Dividend Exclusion Error

An investor purchases 200 shares of a dividend-paying ETF at $50.00 per share on January 1, 2023. Total invested: $10,000. By December 31, 2025, the share price reaches $58.75. The broker statement shows a gain of $1,750, or 17.5%.

Over the 3-year period, that ETF paid $0.80 per share annually in dividends, distributed to a linked cash account. Total dividends received: 200 shares x $0.80 x 3 years = $480.

Correct holding period return: ($11,750 - $10,000 + $480) / $10,000 = $2,230 / $10,000 = 22.3%

The broker reported 17.5%. The actual return was 22.3%. That 4.8-percentage-point gap represents $480 in real cash received and ignored. On a $250,000 portfolio scaled proportionally, the same error obscures $12,000 in earned income.

Why Annualizing Changes the Comparison Entirely

A 22.3% holding period return over 3 years is not the same as a 22.3% annual return. Treating them as equivalent is the second most common error in retail investment reporting.

To annualize a holding period return, raise (1 + holding period return) to the power of (1 / number of years), then subtract 1.

For the example above: (1 + 0.223) to the power of (1/3) - 1 = 1.223^(0.3333) - 1 = approximately 6.94% per year.

That is the compound annual growth rate, or CAGR. It is the only return figure that allows fair comparison across investments held for different durations.

An investor comparing a 2-year position with a 22% holding period return against a 4-year position with a 38% holding period return cannot determine which performed better without annualizing both. Annualized: the 2-year position returned approximately 10.45% per year. The 4-year position returned approximately 8.44% per year. The shorter-duration position outperformed by roughly 2 percentage points annually, despite showing a lower raw percentage gain.

Worked Example 2: The Mid-Period Contribution Problem

An investor opens a taxable brokerage account on January 1, 2024 with $50,000. On July 1, 2024, she adds another $20,000. By December 31, 2024, the account holds $76,500.

A naive percentage increase calculation: ($76,500 - $50,000) / $50,000 = 53.0%. That number is meaningless. It ignores the $20,000 contribution entirely, attributing it as investment return.

Correct approach: the $20,000 added mid-year is capital, not gain. Stripping it out, she started with $50,000, contributed $20,000, and ended with $76,500. Actual investment gain: $76,500 - $50,000 - $20,000 = $6,500.

Simple return on average capital deployed: $6,500 / (($50,000 + $70,000) / 2) = $6,500 / $60,000 = 10.83% for the year.

For portfolios with multiple cash flows, the money-weighted return, or internal rate of return (IRR), provides the most accurate picture. The CalcMoney Investment Calculator handles IRR calculations directly, without requiring a spreadsheet.

Three Specific Broker Reporting Practices That Skew Your Numbers

Time-weighted vs. money-weighted return labeling. Most institutional platforms display time-weighted returns by default. Time-weighted return eliminates the effect of cash flows, which is useful for evaluating a fund manager's skill. It is not useful for measuring your personal wealth growth. Ask your broker which method appears on your statement.

Fee exclusion from gross returns. An advisory account charging 1.0% annually on a $500,000 portfolio costs $5,000 per year. If the gross return is 8.2% and the net return after fees is 7.2%, reporting the gross figure overstates what you actually kept by a full percentage point. On $500,000 compounded over 10 years, that difference represents approximately $76,000 in terminal value.

Currency of reporting for international positions. A European equity position that gained 11.0% in euros may have gained only 7.3% in US dollars if the euro weakened against the dollar during the same period. Dollar-denominated investors should calculate returns in USD, not local currency. Some platforms do not do this automatically.

The Right Sequence for Calculating Your True Return

Follow this sequence on any investment position before accepting a reported figure:

1. Confirm the ending value includes all dividends and distributions, or add them separately to the numerator.
2. Subtract any fees paid during the holding period from the ending value, or add them to the beginning value as a cost basis item.
3. Calculate holding period return: (Adjusted Ending Value - Beginning Value) / Beginning Value.
4. Annualize using the CAGR formula: (1 + HPR)^(1/years) - 1.
5. For accounts with contributions or withdrawals, use IRR rather than simple percentage increase.

This sequence applies to individual stock positions held in a taxable brokerage account, Roth IRA, or traditional IRA. It applies equally to real estate investment trust (REIT) positions where distributions complicate the return picture. It applies to any instrument where capital and income components exist simultaneously.

Use the CalcMoney Investment Calculator Before Your Next Portfolio Review

Every percentage increase figure on a broker statement carries an assumption. Usually, that assumption favors a cleaner, more flattering number. The CalcMoney Investment Calculator lets you input your actual beginning value, ending value, dividends received, fees paid, and holding period in years. It returns both holding period return and CAGR, side by side.

Run your top five positions through the calculator before your next quarterly review. Compare those figures against what your broker reported. The gap, if one exists, tells you exactly how much precision you have been leaving on the table.

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Results are estimates for informational purposes only. Consult a licensed financial professional before making financial decisions.