Required Rate of Return Calculator
Investing & ReturnsThe annual return your plan needs.
Required annual return: 11.24%
What do you want to solve for?
Pick the unknown. By default the calculator finds the annual return your plan needs; switch modes to solve for any other input instead.
Benchmark — CAPM & dividend model
Advanced — fees, tax & timing
- Your contributions$130,000
- Growth needed$370,000
Risk benchmark
Goal feasibility
How the return your goal needs compares with what the asset can reasonably be expected to deliver, and with your hurdle rate.
- Required (all-in)11.24%
- Expected (CAPM)11.20%
- Your hurdle8.00%
Required return, layer by layer
Each adjustment raises the return you must earn. Fees and tax gross it up; inflation shows the real return hiding inside.
- Base (goal)11.24%
Path to your target
Your balance growing at the required return, with contributions and today's-money value over time.
CAPM & dividend-model breakdown
The risk-free rate plus the asset's risk premium build the CAPM return; the dividend model offers an independent estimate.
- Risk-free rate4.00%
- Asset risk premium7.20%
- CAPM required return11.20%
- Dividend-model return7.50%
How the required return is found
From what you start with and add, to the growth that must bridge the gap, to the return that produces it.
- Starting amount$10,000
- Contributions added$120,000
- Total money in$130,000
- Growth needed$370,000
- Target$500,000
- Required annual return11.24%
Year-by-year required growth
| Year | Contributions | Growth | Balance |
|---|---|---|---|
| 1 | $6,000 | $1,427 | $17,427 |
| 2 | $6,000 | $2,261 | $25,688 |
| 3 | $6,000 | $3,190 | $34,878 |
| 4 | $6,000 | $4,222 | $45,100 |
| 5 | $6,000 | $5,371 | $56,471 |
| 6 | $6,000 | $6,649 | $69,120 |
| 7 | $6,000 | $8,070 | $83,191 |
| 8 | $6,000 | $9,651 | $98,842 |
| 9 | $6,000 | $11,410 | $116,252 |
| 10 | $6,000 | $13,367 | $135,619 |
| 11 | $6,000 | $15,543 | $157,162 |
| 12 | $6,000 | $17,964 | $181,125 |
| 13 | $6,000 | $20,657 | $207,782 |
| 14 | $6,000 | $23,652 | $237,434 |
| 15 | $6,000 | $26,984 | $270,418 |
| 16 | $6,000 | $30,691 | $307,108 |
| 17 | $6,000 | $34,814 | $347,922 |
| 18 | $6,000 | $39,400 | $393,322 |
| 19 | $6,000 | $44,502 | $443,823 |
| 20 | $6,000 | $50,177 | $500,000 |
Contributions are added during each year; growth is earned at the required return; balance is the running total at year end.
Contribution summary
| Item | Value |
|---|---|
| Starting amount | $10,000 |
| Contributions added | $120,000 |
| Total money in | $130,000 |
| Growth needed | $370,000 |
| Target | $500,000 |
Required return breakdown
| Item | Required return |
|---|---|
| Base (goal) | 11.24% |
CAPM & dividend summary
| Item | Value |
|---|---|
| Risk-free rate | 4.00% |
| Beta | 1.20 |
| Market risk premium | 6.00% |
| Asset risk premium | 7.20% |
| CAPM required return | 11.20% |
| Dividend-model return | 7.50% |
| Hurdle rate | 8.00% |
The formula behind it
The target is the future value of your starting amount plus a stream of contributions. The required return is the rate that makes both sides equal — found by search once contributions are present.
FV = P(1 + r)ⁿ + C · [(1 + r)ⁿ − 1] ÷ rwhere:
- FV
- the target future value
- P
- your initial investment
- C
- each contribution
- r
- the required annual return (solved for)
- n
- the number of years
CAPM required return = risk-free rate + beta × (market return − risk-free rate).
Dividend-model return = forward dividend yield + dividend growth rate.
Fee-adjusted return = (1 + r) ÷ (1 − fee) − 1, so you still net the goal after the fee.
Pre-tax return = r ÷ (1 − tax rate), so after-tax growth still hits the goal.
A worked example
Say you have $25,000 today, add $500 a month for 25 years, and want $750,000. Your deposits total $175,000, so growth must supply the other $575,000 — which takes about a 9% annual return. Add a 1% fee and 15% tax and the real job climbs past 10%.
With your numbers
Starting with $10,000 and adding $500 / month for 20 years to reach $500,000 takes a required return of 11.24%.
Key terms
- Target future value
- The amount you want to have at the end of your horizon, in either future or today's dollars.
- Required rate of return
- The annual return your money must earn to turn what you have and add into your target.
- Expected return
- What an investment can reasonably be expected to deliver, independent of your goal.
- Beta
- A measure of how much an asset moves relative to the market; the heart of CAPM's risk adjustment.
- Hurdle rate
- The minimum return you would accept before an investment is worth its risk.
- Margin of safety
- The gap between the return you can expect and the return you need — your cushion against bad years.
- Fee / expense ratio
- The annual slice of your balance taken by fund or advisory costs, which raises the return you must earn.
- Inflation
- The yearly erosion of purchasing power; it lifts the nominal return a today's-money goal requires.
Know what this estimate is based on
- Jurisdiction
- General mathematical model
- Scope and limitations
- Scenario model, not a forecast. Returns, volatility, inflation, fees, and taxes are assumptions and actual investment outcomes can be lower or negative.
- Source links checked
- Jul 30, 2026
Built and regression-tested by Smart Tools Lab. It has not been individually reviewed by a licensed financial, tax, or legal professional.
How to use
- 01
Pick what to solve for — the required annual return is the default, but you can switch to solve for the target, the starting amount, the contribution or the number of years instead.
- 02
Enter your starting balance, your regular contribution and its frequency, your time horizon and your target. Say whether the target is in today's money or future dollars so inflation is handled correctly.
- 03
Open the benchmark and advanced panels to add a fee, a tax on returns, and the CAPM and dividend-model inputs (risk-free rate, beta, market return, dividend yield and growth) plus your hurdle rate.
- 04
Read the headline required return, its fee/tax/inflation-adjusted versions, the CAPM and dividend benchmarks, and the feasibility verdict — then save scenarios to compare different goals, horizons or assumptions side by side.
Formula
The goal rate is the annual return r that makes the future-value equation equal the target: Target = principal × (1 + i)ᴺ + contribution × annuity factor(i, N) × due factor The engine solves r by bisection when contributions are present. CAPM benchmark = risk-free rate + beta × (market return − risk-free rate). The all-in required rate then accounts for fees and tax, while the real rate removes inflation.
Example
To grow 10,000 into 20,000 in 10 years with no contributions or fees requires (20,000 ÷ 10,000)^(1 ÷ 10) − 1 = about 7.18% a year. Separately, with a 3% risk-free rate, beta 1.1 and 8% market return, CAPM indicates 3% + 1.1 × (8% − 3%) = 8.5%.
Definitions
- Required return
- The annual growth rate a savings plan must achieve to reach its target on time.
- CAPM
- A risk benchmark that adds beta times the market risk premium to the risk-free rate.
- Beta
- A measure of an asset's sensitivity to broad market movements; 1 means market-like sensitivity.
- Hurdle rate
- The minimum return an investor is willing to accept.
- Margin of safety
- Expected or benchmark return minus the return the goal requires.
Good to know
What a required rate of return actually tells you
A required rate of return is the annual growth your money has to deliver to turn what you own today, plus whatever you keep adding, into a specific sum by a specific date. It is the bridge between three things you usually already know — a starting balance, a contribution habit and a deadline — and one thing you do not: the yearly performance that ties them together. Phrased as a question it is simply, "how hard does this money have to work?" That framing matters because the number is set by your goal, not by any market. Two investors with identical portfolios can face wildly different required returns purely because one wants twice as much in half the time. The figure also wears a second hat. In corporate finance and stock analysis, a required return is the minimum yearly payoff an investment must promise before it is worth the risk of holding it — the return you deserve for the uncertainty you take on. This calculator treats both meanings as one continuous idea: the goal side answers what you need, the risk side answers what is fair, and the interesting work happens when you hold the two numbers up against each other.
How the calculator backs the number out
Reaching a target is a future-value problem. The lump sum you start with grows on its own, and each contribution you make grows for however long it sits invested, so the ending balance is the starting amount compounded forward plus the future value of a stream of deposits. Solving for the balance is arithmetic. Solving for the return that produces a chosen balance is not — once contributions enter the picture there is no tidy formula to rearrange, because the unknown rate appears inside every one of the deposit terms at a different power. So the tool searches instead. It knows the ending balance always climbs as the assumed return climbs, which makes the relationship strictly one-directional, and it narrows in on the rate that lands exactly on your target, halving the range of possibilities until the answer is pinned to a fraction of a basis point. The same machinery runs in reverse for the other unknowns. Hold the return fixed and you can instead solve for the deposit you would need, the head start that would do it, or the number of years it would take — five questions, one underlying equation, read from whichever side you happen to be missing.
Required versus expected — never let them blur
The single most useful habit with this tool is keeping two returns mentally separate. The required return is an output of your ambition: change the goal and it moves. The expected return is a property of the investment: a diversified stock portfolio has historically delivered roughly ten percent a year before inflation — high single digits once inflation is stripped out — with bonds rather less and cash less still. Planning succeeds when the expected return comfortably clears the required one, and it quietly fails when people reverse the logic — picking a goal so steep that only an unrealistic return could reach it, then assuming the market will somehow oblige. A goal that demands eighteen percent a year is not a brave goal, it is a broken plan, because no mainstream asset reliably pays that. The fix is never to wish for a higher return; it is to pull one of the levers you genuinely control. Lengthen the deadline, raise the monthly contribution, or trim the target, and watch the required return fall back into the range an ordinary portfolio can actually supply. The calculator exists to make that gap — between what you need and what is plausible — impossible to ignore.
CAPM: the return an asset should pay for its risk
When you want a benchmark for "plausible," the capital asset pricing model is the standard starting point. It builds a fair expected return from three pieces: a risk-free rate, the return you can earn with virtually no chance of loss, usually proxied by a short-dated government bond; the market risk premium, the extra reward investors have historically demanded for owning stocks over that safe rate; and beta, a measure of how violently a particular holding swings relative to the whole market. A beta of one moves in step with the index, a beta above one amplifies its ups and downs, and a beta below one cushions them. Multiply the market premium by beta and add it to the risk-free rate, and you have the return that asset should offer to compensate for the specific risk it carries. With a four percent safe rate, a ten percent expected market return and a beta of 1.2, the model asks for 4 + 1.2 × 6, or 11.2 percent. That is not a forecast of what the asset will do next year; it is a yardstick for whether the return your goal needs is modest, fair or greedy given the risk you are signing up for.
A second opinion from the dividend-discount model
CAPM is not the only way to estimate what an investment should return, and leaning on a single model is its own kind of risk. For shares that pay a steady, growing dividend, the dividend-discount approach offers a clean cross-check. Its logic is that the return you earn from a stock is the cash it hands you plus the rate at which that cash grows: a forward dividend yield of two and a half percent on a company expanding its payout by five percent a year implies a roughly seven and a half percent expected return. Where CAPM reasons from market-wide risk, the dividend model reasons from a company's own cash generation, so the two answers come at the question from independent directions. When they agree, you can hold your benchmark with more confidence. When they diverge sharply, that gap is itself information — it usually means the market is pricing in unusual growth, unusual risk, or a dividend the company may not sustain. Use the dividend model where it fits, on mature payers, and treat it as a sanity test on CAPM rather than a replacement for it.
Your hurdle rate and the margin of safety
A hurdle rate is the personal minimum you refuse to invest below — the line under which an opportunity simply is not worth the bother or the risk. For a business it is often the cost of the capital being deployed; for an individual it might be the return available on a paid-off mortgage or a high-yield savings account, since beating those is the least an investment should do to justify itself. The hurdle gives the required return context: a goal that needs six percent looks very different to someone whose hurdle is four than to someone whose hurdle is nine. The margin of safety is the breathing room between the two key numbers — how far the return you can reasonably expect sits above the return you actually need. A wide margin means ordinary results still carry you to the goal and a disappointing decade need not derail it. A thin or negative margin means everything has to go right, which over a long horizon is a fragile bet. Treat the margin, not the headline required return, as the real measure of whether a plan is sound.
Inflation: a goal in today's money costs more
Inflation quietly changes what a target is worth, so the calculator lets you state your goal in one of two ways and treats them very differently. If your number is already a future, nominal figure — the actual dollars you want in the account on the final day — the required return is computed straight against it, and the tool then shows you the real return hiding inside: at two and a half percent inflation, a 9.04 percent nominal requirement is only about a 6.38 percent gain in genuine purchasing power. But if your target is expressed in today's money, meaning a lifestyle or a price you understand at current values, the goal post moves. To preserve that purchasing power you must reach a larger nominal sum, grown by inflation over every year of the plan, and the required return climbs accordingly — the same 750,000-dollar goal that needed 9.04 percent as a future figure jumps to about 12.51 percent once it has to keep pace with two and a half percent inflation as well. Choosing the wrong frame is one of the most common planning errors, because it can understate the job by several percentage points a year.
Taxes and fees raise the bar without asking
The return your goal needs is the return your money has to keep, but taxes and fees both take a cut before you ever see it, which means the return you must earn before they bite is higher. Tax comes off your gains, so to net a given growth rate after a tax on returns you have to gross it up by dividing by one minus the tax rate: a 9.04 percent net requirement becomes about 10.64 percent before a fifteen percent tax. The calculator models this as an annual drag, the conservative case for a taxable account; sheltered accounts that defer or erase tax will treat you more kindly, so read the after-tax figure as an upper bound on what tax can demand. Fees work the same way from a different angle. An expense ratio or advisory fee skims a slice of your assets every year, so to still net your target after a one percent fee you must actually earn roughly 10.14 percent gross. Stacked together, a modest-looking tax and a modest-looking fee can lift a 9 percent requirement well into the double digits — proof that the cost of an investment is not a footnote but a direct addition to how hard your money has to work.
Reading the feasibility verdict
Once the calculator knows the all-in return your goal demands and the benchmark return your risk level should supply, it renders a verdict so you are not left squinting at two bare percentages. Achievable means the return you need sits comfortably below what the asset can reasonably be expected to deliver, with a healthy margin of safety to absorb bad years. Tight means you are nearly there but with little room to spare, a signal to either pad the plan or accept that it depends on things going broadly to script. Unrealistic means the required return outruns any sensible expectation — and crucially, the tool flags this whether the cause is an over-ambitious target or simply a benchmark that cannot keep up. A verdict is a prompt, not a sentence. If the plan reads as a stretch, the response is mechanical and within your power: give it more time, feed it larger or more frequent contributions, or lower the goal to something the math supports. Run those adjustments through the calculator and you can watch an impossible plan resolve into a merely demanding one, then into a comfortable one.
A worked example and the traps to sidestep
Put it together with a concrete case. You have 25,000 dollars today, you can add 500 dollars a month, you have twenty-five years, and you want 750,000 dollars at the end. Over that quarter-century your own deposits total 175,000 dollars, which means growth has to manufacture the other 575,000 — and the calculator finds that this happens at a required return of about 9.04 percent a year. Held against a CAPM benchmark of 11.2 percent for a stock-like risk level, the goal lands in achievable territory with a couple of points of cushion. Now layer reality on top: a one percent fee pushes the real job to roughly 10.14 percent, fifteen percent tax on gains to about 10.64 percent, and if that 750,000 was meant in today's money the bar leaps past twelve percent. The traps cluster around exactly these moves. Do not confuse the return you need with the return you will get; do not quote a goal in today's dollars while expecting nominal returns; do not forget that fees and taxes are part of the required return, not separate from it; and never respond to an unrealistic number by hoping for a bigger one when the honest fixes — more time, more savings, a humbler target — are sitting right in front of you.
Frequently asked questions
How does the calculator work out the return I need?
It treats your plan as a future-value problem: your starting balance compounds forward and every contribution grows for the time it stays invested, and together they must equal your target. Because contributions make the equation impossible to solve for the rate directly, the tool searches for it — the ending balance always rises as the assumed return rises, so it narrows in on the exact return that lands on your target. The same engine runs in reverse to solve for the target, the starting amount, the contribution or the duration when you choose one of those modes instead.
What's the difference between the required return and the expected return?
The required return is set by your goal — change the target, the deadline or how much you save and it moves. The expected return is a property of the investment: what a stock portfolio, bond fund or savings account can reasonably be expected to deliver. A plan is sound when the expected return comfortably clears the required one. If your goal demands a return no ordinary asset reliably pays, the answer is never to hope for more; it is to extend the time, save more, or lower the target until the required return falls back into a realistic range.
What is CAPM and how is it used here?
The capital asset pricing model estimates the return an investment should pay for its risk: the risk-free rate plus beta times the market risk premium (the market return minus the risk-free rate). Beta measures how sharply a holding swings relative to the market — above one amplifies the market's moves, below one cushions them. With a 4% risk-free rate, a 10% market return and a beta of 1.2 it asks for 11.2%. The calculator uses this as the benchmark it compares your goal's required return against to judge feasibility.
Should I enter my target in today's money or future money?
If you know the exact dollar amount you want in the account on the final day, choose future money and the required return is computed straight against it. If your target reflects a cost or lifestyle you understand at today's prices, choose today's money — the calculator then grows the target by inflation across the whole horizon so your purchasing power is preserved, which raises the required nominal return. Getting this frame wrong is a common mistake: the same goal can need several percentage points more per year once inflation is included.
How do fees and taxes change the answer?
Both raise the bar, because the return your goal needs is the return you must keep after they take their cut. A tax on returns grosses the requirement up by dividing by one minus the tax rate, so a 9% net target becomes about 10.6% before a 15% tax. An annual fee skims your assets, so netting the same target after a 1% fee means earning roughly 10.1% gross. The tax figure is modelled as an annual drag — the conservative, taxable-account case — so sheltered accounts will demand less than the after-tax number shown.
What does the feasibility verdict mean?
It compares the all-in return your goal needs against the benchmark return your risk level should supply. Achievable means you have a healthy margin of safety; tight means you are close but with little room for bad years; unrealistic means the required return outruns any sensible expectation — flagged whether the cause is an over-ambitious goal or a benchmark that cannot keep up. A verdict is a prompt to act: add time, raise contributions or trim the target, and re-run to watch a stretch goal resolve into a comfortable one.
What are the hurdle rate and the margin of safety?
Your hurdle rate is the minimum return you would accept before an investment is worth the risk — often a business's cost of capital, or for an individual the return on a paid-off mortgage or a top savings account. The margin of safety is the gap between the return you can reasonably expect and the return your goal actually needs. A wide margin means ordinary results still get you there and a weak year won't derail the plan; a thin or negative margin means everything has to go right, which is a fragile bet over a long horizon.