TOOLS • FOCUSED REFERENCE

Calculators

Run one calculator at a time and keep the assumptions visible before trusting the output.

Calculator rule:Change one assumption at a time, read the method and limitations, compare scenarios, and verify current tax/regulatory rules at the Research standard before acting. Values shown as “e.g.” are educational scenario inputs, not recommended returns, allocations, or trade sizes; use actual balances, product data, and policy targets where those are available.

Growth planning

Compound-growth calculator

Estimate how a starting balance and monthly contributions may grow under a range of return assumptions. Use it to separate the effects of starting capital, recurring contributions, time, return, and compounding frequency; compare several plausible assumptions rather than treating one projected future value as a forecast.

Calculation tool

Inputs

Required fields

1Initial investment

Initial investmentAmount available at the start.

2Contribute and set the time horizon

Monthly contributionAmount added each month. This growth calculator models contributions, so enter zero or a positive amount.

YearsHow long the money remains invested or exposed.

3Set the annual growth assumptions

Estimated annual rate (%)Illustrative test range: 4% to 6% for a long-horizon U.S.-equity-like scenario; 5% is a useful comparison point, not a forecast. Use asset-appropriate assumptions and compare multiple rates.

Rate variance range (± % points)Sensitivity range, not a volatility forecast. Try ±1 to ±3 percentage points; ±2 points is a practical middle scenario for stress-testing the base rate.

4Choose compounding frequency

Compounding frequencyHow often the assumed rate is compounded. Choose the frequency that matches the account, product, or scenario the investor is modeling.

Enter all required values, then select Calculate.

Calculated result

Lower-rate result$0

Base result$0

Higher-rate result$0

Total contributed: $0 · Base-case growth above contributions: $0

What this result means

Enter principal, contributions, return, and time to see how the growth assumptions interact.

Calculation summary

How it works

Future value combines the starting balance, recurring contributions, time, rate, and compounding frequency.

Method detail

Monthly contributions are modeled at the end of each month. When the selected compounding frequency is less frequent than monthly, contributions inside a compounding period do not earn interim growth until that period compounds. The chart uses clean USD axis intervals while the table preserves exact calculated dollars and cents.

Use: compare a range instead of treating one return assumption as a forecast. Taxes, fees, inflation, timing, and variable market returns are not fully captured.

The results are in

In 0 years, the base scenario reaches $0.00

Calculate to see the projected balance range, chart, and year-by-year totals.

Projected total savings (USD)

Total savings in U.S. dollars

Year	Lower rate	Base rate	Higher rate

Goal planning

Savings-goal calculator

Estimate the monthly contribution required to reach a future balance from a current starting amount. This is useful for turning a goal into a contribution schedule.

Calculation tool

Inputs

Required fields

1Set the savings goal

Future savings goalTarget balance the investor wants to reach.

2Enter the amount already available

Initial amountMoney already set aside toward the goal.

3Set the time available

Years to goalTime remaining before the target date.

4Set the annual growth assumption

Estimated annual rate (%)Illustrative test range: 4% to 6% for a long-horizon U.S.-equity-like scenario; try lower assumptions for more conservative assets or shorter horizons. This is not a return guarantee.

5Choose compounding frequency

Compounding frequencyHow often the assumed rate is compounded. Select the convention that matches the scenario the investor wants to model.

Enter all required values, then select Calculate.

Retirement distribution

Required minimum distribution estimator

Estimate a lifetime RMD using the prior December 31 account balance and the IRS Uniform Lifetime Table. This tool does not calculate inherited-account rules or the special Joint Life table for a sole-beneficiary spouse more than 10 years younger.

Calculation tool

Inputs

Required fields

1Enter the prior December 31 balance

Previous year-end account balanceValue as of December 31 of the previous year.

2Enter age at the end of the current year

Age at year-endAge at the end of the current calendar year. The calculator applies current-law starting-age logic by birth year.

Enter all required values, then select Calculate.

Goal planning

College-savings target calculator

Project the future cost of several school years and estimate the monthly amount needed before enrollment. The result is a planning target, not a tuition forecast.

Calculation tool

Inputs

Required fields

Step 1 · Estimate today’s annual cost, years until enrollment, school years, savings, and assumptions

Current annual costToday’s annual education cost assumption.

Years until enrollmentYears before enrollment begins. Enter 0 if enrollment is now; the result will show the funding gap today rather than inventing a monthly saving period.

Years of schoolNumber of school years included in the estimate.

Education cost inflation (%)Recent U.S. published tuition-and-fee increases have been roughly 2.7% to 4.0% across major sectors. For planning, compare about 3% to 5% rather than relying on one number.

Current savingsAmount already reserved for education.

Estimated annual return before enrollment (%)Use a scenario range rather than one forecast. A 3% to 6% pre-enrollment return range is a useful educational stress test; the appropriate assumption depends on the actual portfolio and usually changes as enrollment approaches.

Enter all required values, then select Calculate.

Calculated result

Projected total nominal school cost$0Estimated monthly saving needed before enrollment: $0

What this result means

Enter the education target, existing savings, years, and return assumption to estimate the monthly saving requirement.

Calculation summary

How it works

Future education cost is projected from today’s cost and inflation, then compared with savings accumulated before enrollment.

Method detail

The planning model projects each school-year cost with the entered education-inflation rate and treats the total projected school cost as a funding target by enrollment. It does not assume additional investment growth during the school years, so compare the result with a more detailed cash-flow model when timing materially affects the plan.

Scope: the monthly target assumes the projected school cost is fully funded by enrollment and does not credit investment growth during the school years. Grants, tax rules, aid, account limits, and actual tuition can materially change the need.

Fixed income

Bond interest-rate sensitivity estimator

Use modified duration to estimate how a bond or bond portfolio might change in price for a small parallel move in yields. The estimate is a first order rate scenario, not a bond-price forecast; credit spreads, convexity, calls, liquidity, and nonparallel yield-curve changes can create a different realized result.

Calculation tool

Inputs

Required fields

Step 1 · Enter the current exposure

Current market valueCurrent dollar value of the bond or bond portfolio.

Modified durationUse the bond or fund’s actual modified duration when available. For a math-only demonstration, compare values such as 3, 5, and 10; higher duration means greater rate sensitivity.

Step 2 · Enter the yield change

Yield change (percentage points)Enter a rate shock in percentage points. For sensitivity testing, ±0.50 and ±1.00 percentage-point moves are useful examples; this is a scenario, not a rate forecast.

Enter all required values, then select Calculate.

Method detail

Modified duration is a first-order approximation. The calculator rejects combinations that imply a price move of 100% or more because the linear approximation is not meaningful at that scale; convexity, credit spread changes, embedded options, and liquidity are not modeled.

Purchasing power

Inflation purchasing-power calculator

Compare the future nominal cost of today’s spending with the purchasing power of a fixed dollar amount after inflation. Use both nominal and real views so a future dollar amount is not mistaken for the same standard of living; actual inflation will vary by time period and household spending mix.

Calculation tool

Inputs

Required fields

Step 1 · Set today’s amount

Amount todayCurrent dollar amount the investor wants to compare.

YearsHow long the money remains invested or exposed.

Step 2 · Set annual inflation

Inflation rate (%)The Federal Reserve’s longer-run PCE inflation objective is 2%, while actual inflation can be materially higher or lower. Compare 2%, 3%, and 4% scenarios instead of treating one rate as certain.

Enter all required values, then select Calculate.

Trading risk

Position-risk calculator

Translate a written risk budget into a share limit using account value, planned entry, risk-control price, and an allowance for slippage. The calculated share amount assumes the planned exit can be executed near the risk-control price; gaps, halts, slippage, and liquidity can make the realized loss larger.

Calculation tool

Inputs

Required fields

Step 1 · Choose long or short, then define account size, loss budget, entry, risk-control price, and slippage

Position directionFor long stock the risk-control price must be below entry; for short stock it must be above entry.

Account valueCurrent account equity used to set a loss budget.

Risk budget per position (%)Trading-risk example only: some trade plans use about 1% to 2% of account value per trade; testing 0.5%, 1%, and 2% shows how position size changes. This is not a recommendation for every investor.

Planned entry priceExpected purchase price per share.

Risk-control pricePrice used to estimate planned loss per share. Execution is not guaranteed.

Estimated slippage per shareThere is no universal slippage number. Use the security’s current bid-ask spread and liquidity: test 0 as a frictionless baseline, then roughly half-spread and full-spread per share as execution-stress scenarios.

Enter all required values, then select Calculate.

Fund costs

Fund-fee impact calculator

Compare how annual expense ratios can reduce long-run ending value when the starting amount and gross return are otherwise the same. Enter the investor's own values, then use the arithmetic-check example below to confirm how the fee difference compounds over time.

Calculation tool

Inputs

Required fields

Step 1 · Compare the same starting investment under two annual expense ratios

Starting amountInitial balance used in both fund comparisons.

Gross annual return assumption (%)For a calculator check, the SEC/Investor.gov fee illustration uses a 4% annual growth assumption over 20 years. Treat it as an educational test case, not an expected return.

Fund A expense ratio (%)SEC/Investor.gov educational comparison: 0.25% is one of the example annual fee levels. Enter the actual expense ratio when comparing real funds.

Fund B expense ratio (%)SEC/Investor.gov educational comparison: 1.00% is one of the example annual fee levels. Enter the actual expense ratio when comparing real funds.

YearsThe SEC/Investor.gov illustration uses 20 years; use the horizon relevant to the comparison the investor is testing.

Enter all required values, then select Calculate.

Calculated result

Estimated ending balances$0 vs $0Estimated difference: $0

What this result means

Enter the same starting balance and return assumption with two expense ratios to isolate the long-run fee difference.

Calculation summary

How it works

Both scenarios use the same gross return; the difference isolates the effect of the two expense ratios.

Method detail

The fee comparison applies the same gross annual return to both cases and then applies each annual expense ratio to assets. It is a transparent teaching approximation; actual fund expenses accrue through fund operations and market returns are not constant.

Arithmetic check: with $100,000 growing at 4% for 20 years, 0.25% annual expenses produce about $208,000 and 1.00% annual expenses about $179,000. The gap shows how a recurring fee difference compounds over a long holding period.

Math-only test case: 60% stocks / 30% bonds / 10% cash / 0% other. This is not a recommended allocation; use the policy targets that apply to the portfolio being reviewed.

Portfolio maintenance

Portfolio rebalancing calculator

Compare current dollar allocations with written target weights across stocks, bonds, cash, and other assets. Targets must add to 100% before a rebalance can be calculated.

Calculation tool

Inputs

Required fields

Step 1 · Enter current sleeve values and target weights; target weights must total 100%

SleeveCurrent valueTarget weight

Stocks

Stocks current value

Stocks target weight (%)

Bonds

Bonds current value

Bonds target weight (%)

Cash

Cash current value

Cash target weight (%)

Other

Other current value

Other target weight (%)

Use 0 for an unused sleeve. The four target weights must add to exactly 100% (within 0.1 percentage point for rounding).

Enter all required values, then select Calculate.

Options

Long option break-even calculator

Calculate expiration break-even and premium outlay for a long call or long put. It does not model short-option obligations or profit and loss before expiration.

Calculation tool

Inputs

Required fields

Step 1 · Enter the option type, strike, premium, contracts, and contract multiplier

Option typeChoose a long call or long put.

Strike priceContract strike price per share.

Premium per shareOption premium paid per share.

Number of contractsNumber of option contracts purchased.

Contract multiplierStandard U.S. equity options usually represent 100 shares, but adjusted contracts can differ after corporate actions. Check the contract specification before using 100.

Enter all required values, then select Calculate.

Calculation standards

Use calculators to expose assumptions, not to manufacture certainty.

Every calculator should make the input, formula, output, and limitation visible. Change one assumption at a time, compare scenarios, and treat results as planning estimates rather than forecasts.

Illustration of a financial calculator — Use calculators as decision aids: verify assumptions, understand inputs, and treat outputs as estimates rather than guarantees.

RELATED LEARNING & INTERNAL TOOLSKeep the learning path inside this Learning Center. Use the built-in calculators below to test assumptions, then continue into the related guide for interpretation and limitations.

Compound growth calculator Savings goal calculator RMD estimator College savings calculator Inflation purchasing-power calculator Bond duration and rate risk Fund fees and cost layers Asset allocation and rebalancing Options basics and risk Order types and execution risk

Growth and savings

Separate contribution, time, return, and compounding assumptions. Do not solve an underfunded goal by simply raising the expected return.

Retirement distributions

Distribution rules depend on account type, owner/beneficiary status, age, and current law. Use the calculator to understand the arithmetic and confirm the rule that applies before acting.

Fees and fund costs

Expense ratios are one layer. Trading spreads, account fees, taxes, turnover, borrowing, and cash drag can also change outcomes.

Risk calculations

Position-size and rebalancing tools organize a written rule. They cannot predict gaps, liquidity, correlation shifts, or suitability for a specific investor.

HOW TO READ A CALCULATOR

Treat every output as a conditional scenario, not a forecast

A calculator answers: “What follows from these inputs and this formula?” It does not know whether the assumptions are realistic, taxes apply, cash flows arrive on schedule, markets follow a constant return, or a legal rule has changed.

Tool type	Main assumption to challenge	Useful sensitivity test
Growth / savings goal	Return, contribution timing, time horizon	Lower return, delayed start, missed contributions
Inflation / purchasing power	Inflation is represented by a single rate	Higher/lower rate and a shorter/longer horizon
Bond duration	First-order price sensitivity around the current yield environment	Different rate moves; remember credit spread and convexity can matter
Position risk	Chosen stop/exit level can actually be executed near that price	Gap beyond the stop, larger volatility, lower liquidity
Fund fee impact	Same gross return and fee path	Different return, fee, holding period, and contribution assumptions
Option break-even	Expiration payoff arithmetic	Consider time, volatility, spreads, assignment and exit before expiration

Unit check: read the currency, percentage basis, annual/monthly convention, and chart axis before trusting an output. The displayed result, table, and chart should reconcile to the same calculation.

Use every calculator as an assumptions worksheet

A calculator produces a conditional result, not a forecast. Growth estimates depend on contribution timing and assumed return; inflation estimates depend on the price index or rate used; bond-sensitivity estimates simplify a nonlinear price relationship; fee comparisons depend on holding period, account costs, and product expenses.

Before using an output, write down the input source, units, date, and sensitivity to a less favorable assumption. Then reconcile the output with a simple hand calculation or second scenario. The purpose of the tool is to make assumptions visible enough to challenge.

Run at least one downside or higher-cost scenario.
Check that chart units match the table and headline result.
Treat RMD, tax, and eligibility outputs as estimates that require current-rule confirmation before action.