Investing & Growth Calculators

CAGR (Compound Annual Growth Rate) represents the smoothed annual rate at which an investment would have grown if it grew at a steady constant rate. Simple averages inflate real returns because they ignore the asymmetry of losses: a -50% loss followed by a +50% gain yields a 0% simple average, but results in a -25% actual net portfolio loss.

Originating from William Bengen and updated by the Trinity Study, the rule asserts that a retiree withdrawing 4% of their balanced portfolio during Year 1, and adjusting that exact dollar amount for inflation each subsequent year, has a 95%+ probability of not exhausting capital over a 30-year span.

In taxable accounts, qualified dividends incur 15% to 20% federal taxes plus NIIT (3.8%) in the exact tax year received, even if automatically reinvested via DRIP. Over 30 years, this yearly tax leakage can reduce total wealth accumulation by 15% to 25% compared to holding pure capital growth index ETFs.

Empirical institutional research recommends rebalancing either on a set annual schedule (e.g., every January) or via "tolerance bands" (whenever an asset class deviates by more than 5% absolute from its targeted weight). Rebalancing more frequently creates excessive transaction friction and taxable turnover.

SRR is the danger that market crashes occur during the first 3 to 5 years immediately preceding or following retirement. Liquidating equities while values are depressed severely locks in losses and permanently cripples the longevity of the portfolio, even if average market returns recover later.

A 0.75% expense ratio compared to a 0.03% ETF fee on a $500,000 portfolio over 30 years forfeits over $185,000 in terminal wealth due to lost compounding. Expense ratios are deducted automatically every day regardless of whether market prices go up or down.

The Rule of 72 is a rapid mental shortcut to estimate how many years it takes an asset to double at a fixed annual rate of return: Years to double ≈ 72 / Interest Rate. At 8% CAGR, an asset doubles in 9 years (72/8). At 10%, it doubles in approximately 7.2 years.

Current yield is dividend payout divided by current stock price. Yield on cost is dividend payout divided by your original buy price. If you bought shares at $50 paying $2 (4% yield) and the dividend rises over 10 years to $5 while the stock hits $150, your Current Yield is 3.3%, but your Yield on Cost is 10.0%.

Modern financial planning generally recommends a glidepath shifting from equity-heavy (90/10 or 100/0) in your 20s and 30s toward a balanced configuration (60/40 or 70/30) approaching retirement to curtail drawdowns and sequence risk.

No. Due to the properties of Euler's limit (e), the difference between monthly compounding and daily compounding on a $100,000 balance at 7% over 20 years is less than $450 in total. Compounding rate (CAGR) matters infinitely more than compounding frequency.

DCA is the practice of investing a fixed dollar amount at regular intervals (e.g. $500 every two weeks) regardless of market share price. By doing so, you automatically buy more shares when prices dip and fewer when prices surge, eliminating market-timing psychology.

A 50% savings rate enables financial independence in approximately 17 years starting from zero. A 65% savings rate achieves FIRE in about 10.5 years. At a typical 10% savings rate, it requires roughly 51 years to reach retirement solvency.

APR (Annual Percentage Rate) reflects the simple stated interest rate without compounding effects. APY (Annual Percentage Yield) includes the compounding frequency. For example, a 5.00% APR compounded daily yields a true APY of 5.127%.

Assets held for 365 days or fewer are categorized as short-term capital gains, taxed at ordinary income tax brackets (up to 37%). Assets held for longer than one year qualify for preferential long-term capital gains tax brackets (0%, 15%, or 20% based on total taxable income).

The Sharpe Ratio measures risk-adjusted return: (Portfolio Return - Risk-Free Rate) / Standard Deviation. It quantifies how much excess return is achieved per unit of portfolio volatility. A ratio above 1.0 is considered good; above 2.0 is considered institutional-grade.

Even moderate 3% sustained inflation cuts the purchasing power of cash by 50% in roughly 24 years. Leaving wealth in static bank deposits guarantees steady loss of real capital; equity investments act as the primary historical hedge by expanding corporate earnings alongside inflation.

Time-Weighted Return (TWR) measures fund manager capability by neutralizing the timing of user deposits and withdrawals. Money-Weighted Return (MWR) reflects actual personal investor performance by heavily weighting returns during periods when the portfolio balance was largest.

Cash sitting idle in a brokerage account yields zero return. DRIP automatically converts cash distributions immediately upon payout into fractional equity shares without manual orders or transaction fees, maintaining 100% portfolio market exposure.

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