How to use the DCA Scenario Explorer
Put a set amount into an asset on a schedule, or when a signal fires, and see what it would have grown to. Part 1 shows how to use the tool and its Portfolio mode. Part 2 shows how every figure is worked out. Every demo is the real tool, running live in your browser. Press Pause on one to try it yourself.
The short version
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Load the prices
One click on a Quick Start loads an example. Or list tickers on the Data tab, or make up an asset from a return and a volatility, and set the Date Range.
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Set each scenario
On Scenarios, each plan gets an asset, an Amount per top-up and an Investment Style: a fixed day, a price move, a technical signal, or a hindsight benchmark.
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Simulate and read
Press ▶ Simulate. One sentence names the best plan; the Final Summary gives each one's value and ROI. Portfolio mode does the same for whole portfolios.
Nothing is uploaded. Prices come from Yahoo Finance through the site's own server and are kept in your browser; every run is worked out there. This guide is general information, not financial advice.
The screen
Inputs on the left, the answer and the charts beside them, the detail under the charts. Point at a part in the list to see where it is.
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Inputs
Quick Start, save and open, then three tabs: Data, Scenarios and Assumptions. ▶ Simulate sits at the bottom. The chevrons fold the card to a slim Inputs rail.
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The answer
One sentence: which scenario did best, and by how much. Under it, the Final Summary: a tile per scenario, and Advanced metrics.
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Charts
Security Prices, with each buy marked if you like, and Portfolio Value Over Time against the money put in. Each has Share and ⟳.
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Details
The Detailed Breakdown, every buy of one scenario, and What this assumes, both opening from their chevrons.
Portfolio mode, linked above the inputs as the Portfolio DCA Simulator, runs whole portfolios: several assets at target weights, rebalanced, with fees and a cash account.
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Inputs
The same Data and Assumptions tabs. Portfolios holds a tab per portfolio, each with Top-Ups, Assets and Rebalancing.
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The answer
Which portfolio ended highest, then a tile per portfolio: value, net gain, ROI, top-ups and the share left in cash.
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Portfolio Value Over Time
A line per portfolio against the money topped up. In Optimise mode it becomes the sweep.
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Detailed Breakdown
One portfolio at a time: its assets' prices, its Composition Over Time, and the Breakdown Table of every event.
Top right on both pages, Tour replays a one minute walk through the page, and Guide opens this page. The ticker reference lists the codes Yahoo Finance uses for shares, funds, indices, currencies and crypto.
Quick Start
Three worked comparisons on real prices: Monthly vs Weekly ($520 a month against $120 a week into SPY), Equity vs Money Market ($500 a month into DHHF.AX against AAA.AX) and Stock vs ETF ($500 a month into AAPL against SPY). One click replaces the scenarios and runs them.
On a phone, press Full screen under a demo and turn the phone sideways to read it.
Open the inputs
On a first visit the card is folded to a rail, so the answer has the room. Click Inputs to open it; it stays the way you leave it.
Pick an example
Hover a button to read what it compares. A click loads it and runs it.
Read the answer
$520 a month and $120 a week put in about the same money, so the sentence compares the return on it: 56.68% against 55.87%.
- Every demo here runs 1 Oct 2021 to 30 Sep 2026, on prices saved with this guide. The tool opens on the last five years to today, so your own run of an example will differ.
- A Quick Start is a fresh start. It clears the scenarios and settings first; prices already loaded stay, so no download is wasted.
The Data tab
What every scenario can buy, and the days it runs over. Load prices once here; scenarios then pick from them.
Currency
Currency Symbol is the label money wears. Nothing is converted.
Loaded assets
Folded to one line. Open it to see each ticker's name and dates, remove one, Refresh to today or Clear all.
Real or Simulated
Real: list Tickers and press ⤓ Load tickers. Simulated: an Asset name, a Return and a Standard deviation, then + Add Simulated Asset.
Date Range
Start and End. The run uses the trading days every scenario's asset shares.
- Five loads a day, 25 tickers each. The data server is shared, so list everything at once. A ticker already loaded costs nothing, and both pages share the same prices.
- Prices from 1990 on. A load fetches each ticker's whole history from 1 Jan 1990, so changing the dates within it needs no new load.
The Scenarios tab
A scenario is one plan: an asset, how much each top-up puts in, and when it buys. Add as many as you like; each runs on its own and they are compared.
A tab per scenario
Click a tab to edit it, double-click to rename it. + adds one, the icons copy or remove the one open.
Pick the asset
Asset lists the loaded tickers and simulated assets. Type a ticker or part of its name.
Name it
The name and the colour beside it are labels only: changing them never sends the results out of date.
Top-ups
Amount per top-up, then Yearly increase: 10 makes year 2 +10% and year 3 +21%.
Simulate
Any change greys the results and lights ▶ Simulate, so a chart never shows numbers the form no longer holds.
- The amount is per purchase. A weekly style buys 52 times a year, a monthly one 12. Switching between them restates the amount so a year's money stays the same: $500 a month becomes $115.38 a week.
Investment Style
When a scenario buys. Four families, each opened by its pill: only the options of the open family, and the settings of the style picked, show.
Date
Monthly (Fixed Date) on a Day of month, or Weekly (Fixed Day) on a Day of week. A holiday moves it to the closest trading day.
Momentum
Buy the Dip or Buy the Peak: once the price has moved the Threshold from the period's first close. Invest at End of Month if target not reached buys anyway on its last day.
Technical
MA Crossover, RSI Oversold Buy, Bollinger Band Dip, MACD Bullish Cross, MACD Histogram Recovery, ADX Trend Filter, each with its own settings. At most one buy a month or a week, by Frequency.
Forward
The month's or week's highest or lowest price day. They need tomorrow's prices, so they are benchmarks: the best and worst a plan on that cadence could have done.
Run it
Show Indicators draws the signal behind a technical style, Show Buy Date marks each buy under the price.
- A signal that never fires buys nothing. With the end-of-period box off, a month without a signal is skipped, so less money goes in. Compare such a plan on ROI, not on its final value.
- Indicators start from the first date. They are worked out on the prices in the Date Range alone, so a 200-day average gives no signal in the first 200 trading days.
The Assumptions tab
Three settings every scenario shares.
Trade at
Every rule decides on a day's close. The order fills at Same day's close, Next day's open (the default: decide in the evening, buy next morning) or Next day's close.
Risk-Free Rate
What money earns without risk, a year. It only feeds Sharpe and Sortino and moves no money.
Simulation Seed
Fixes the random path of a simulated asset, so one seed always gives the same prices.
Simulate
A fill at the close here moves the result by about $24 on $48,884: when you buy within a day hardly matters.
The answer and the charts
The sentence at the top is the whole answer. Under it, the figures behind it and two charts.
The answer
The same money in: the highest final value wins. Different money in: the highest return on it does.
Final Summary
Each tile: the final value, ROI, Topped up and Trades. Advanced metrics adds Sharpe, Sortino, CAGR (TWR) and CAGR (MWR).
Security Prices
The price of the first scenario's asset; click a legend entry to add another, scaled to 100 so they compare. Candlesticks shows each day's open, high, low and close.
Portfolio Value
What each scenario holds, day by day, over the dashed Total deposited. The gap between them is the gain.
- Blue and gold are options, not good and bad. Scenarios take the site's neutral colours; red is kept for a price falling.
- Zoom and pan a chart with the wheel or a drag; ⟳ resets it. Hover to read every scenario on that day.
Detailed Breakdown and What this assumes
Under the charts, the working behind the answer.
Detailed Breakdown
Opens from its chevron: a row per buy with the day it filled, the day it was Decided, the price, the units, the running totals and the return so far.
Pick a scenario
The menu picks whose buys show. ⬇ CSV saves them.
What this assumes
The figures and rules this run used, from your own inputs: the price source, the dates, the fills, the top-ups.
Optimise
The gold gauge beside a setting sweeps it: the scenario on screen runs once for every value in a range, up to two settings at once, so you see how the answer moves and where it peaks.
Pick a setting
Click the gauge beside it. Any amount, day, threshold or indicator setting has one.
Set the range
Start value, End value and Steps, or a pick from a list. The line under it counts the runs.
Optimise
The button reads ▶ Optimise and Cancel sits beside it. Only this scenario runs, so its tabs stay locked until you cancel.
Read the sweep
The answer names the best value against yours; the tiles show Best, Your current setting and Worst. Two settings draw a surface.
Show a run below
Shown in the charts below picks the tested value the charts and the breakdown show. A click on the chart does the same.
- Show picks what the sweep ranks by: ROI, Final value, Net, Sharpe, Sortino, CAGR (TWR) or CAGR (MWR).
- Up to 625 runs. 50 values for one setting, or 25 by 25 for two.
- The best is the best for these past prices, not a forecast. Here every day from the 1st to the 28th lands within a few hundred dollars.
Same inputs, two screens
Portfolio mode runs the same kind of plan on the same prices: a tab per plan, an amount per top-up, a yearly increase, a day it buys on. A plan there holds several assets instead of one. Point at a field in the list to see it on both.
A tab per plan
A scenario there, a portfolio here: click to edit, double-click to rename, copy or remove.
Amount per top-up
The same field: the money each top-up puts in.
Yearly increase
The same field, compounding once a year.
When it buys
The Investment Style there; the Top-up period and its Schedule here.
| DCA Scenario Explorer | Portfolio DCA Simulator | What differs |
|---|---|---|
| Currency Symbol, Tickers, Simulated, Date Range | The same Data tab | Nothing: both pages share the loaded prices and the simulated assets. |
| Scenario tabs | Portfolio tabs | A portfolio holds several assets; a scenario holds one. |
| Amount per top-up, Yearly increase | Amount per top-up, Yearly increase (Top-Ups) | None. |
| Investment Style: Monthly (Fixed Date), Weekly (Fixed Day) | Top-up period, Schedule | Weekly, fortnightly, monthly, quarterly or yearly, on one or several days. |
| Investment Style: Momentum, Technical | Rule-Based Triggers, a trigger per asset (Rebalancing) | Top-ups wait in a reserve, earning the risk-free rate or held in an asset, until each asset's own trigger fires. |
| Investment Style: Forward | None | The hindsight benchmarks are on the main page only. |
| Asset | Assets, Target Weights, Method | Several assets, each with a weight, and a rule for how top-ups and rebalances share the money out. |
| None | Buying fee, Selling fee | The main page charges no fees. |
| Risk-Free Rate (Assumptions) | Risk-Free Account: Rate or Ticker (Top-Ups) | Here it is real money: cash waiting to be invested earns it. It also sets each portfolio's Sharpe and Sortino. |
| Trade at, Simulation Seed | Trade at, Simulation Seed | None. |
| Final Summary, Advanced metrics, Optimise | The same | A tile adds Net and the share in cash; weights can be swept too. |
- What it adds. Several assets in one plan, kept at their weights or not, with fees on every trade and interest on idle cash.
- What it holds fixed. The engine: a portfolio of one asset at 100%, with no fees, topped up on the same day, gives the main page's figures, buy for buy, metric for metric.
Portfolio mode: Quick Start
Three Quick Starts: 80/20 vs 60/40 (DHHF.AX shares and AAA.AX cash), Rebal Monthly vs Quarterly and Rebal vs Constant Alloc (both 50/50 SPY and GOVT bonds). Each tops up $1,000 a month.
Pick a comparison
Hover a button to read what it compares; a click loads it and runs it.
Read the answer
The same $60,000 went in, so the final values compare: 80/20 ends $3,311 ahead, and the ★ marks it.
Portfolio mode: assets and weights
Each portfolio holds its own list of assets, and a target share for each.
A tab per portfolio
Click to edit, double-click to rename. Each portfolio has its own assets, schedule, method and fees.
Add an asset
On Assets, pick a loaded ticker or simulated asset and press + Add. Drag a row to reorder.
Target Weights
On Rebalancing: each asset's share, which must add up to 100%. The ring shows the mix.
Simulate
The Constant Weight portfolio now holds SPY, GOVT and AAPL at 40/40/20.
Portfolio mode: rebalancing and fees
The Method decides how a top-up becomes units, and whether anything is ever sold to stay on target.
Method
Towards Weight, Constant Weight, Constant Allocation, Trend Following or Rule-Based Triggers. The pencil reopens the list.
Rebalance Timing
Constant Weight rebalances At top-up, or on a Separate schedule, its own Rebalance period, with top-ups waiting in cash until then.
Fees
Buying fee and Selling fee, a % of every trade.
Simulate
The answer and the tiles follow.
Portfolio mode: top-ups and cash
How much goes in, when, and what money earns while it waits to be invested.
Contribution
Amount per top-up and Yearly increase, as on the main page.
When it tops up
Top-up period, then its Schedule: weekdays, days of the month, the months of a quarter, or a month and day. The line under it says it in words.
Risk-Free Account
Cash waiting to be invested earns a Rate, or follows a money market Ticker.
Simulate
The quarterly portfolio holds each top-up in cash for up to three months; at 4% that cash now earns.
Portfolio mode: the results
The same answer and tiles as the main page, then one portfolio at a time in detail.
Final Summary
A tile per portfolio. Advanced metrics shows that 60/40 earned less but scored the higher Sharpe: less return, a smoother ride.
Portfolio Value
A line per portfolio over the dashed top-ups. Show Top-Ups hides them.
One portfolio in detail
Portfolio picks whose prices, composition and events show below.
Composition
Cash and each asset stacked to the total, in $ Value or % of Portfolio.
Breakdown Table
The start, every top-up, rebalance and trigger, and the end, with cash, interest and fees so far. ⬇ CSV (full daily) saves every day.
- Optimise works here too, from the gauges beside the amount, the schedule, the fees, the risk-free rate, trigger settings and the weights.
- Every portfolio runs on the trading days all of them share, the risk-free ticker included.
How the numbers work
What each field means, where it enters the sums, and what moving it does to the answer and why. All of it is read from the tool's own code (script.js on each page, the indicators and fills in shared.js).
The model in one picture
Dollar-cost averaging (DCA) means putting a set amount in on a schedule, whatever the price. Each top-up buys as many units as its money buys that day, in fractions where needed. The holding is worth its units at each day's close. At the end the tool asks two things: what is it worth, and what did it return on the money put in?
- aithe money in top-up i
- pithe price it fills at (Trade at)
- Uunits held at the end
- Pendthe close on the last day
- DTopped up: the sum of every ai
The last form is the whole of DCA in one line: your return is the last price over the average price you paid. And a fixed amount pays less than the average price, because it buys more units when the price is low and fewer when it is high. With equal top-ups the average cost is the harmonic mean of the fill prices, which is never above their ordinary mean:
- In the example below, SPY's 60 fills averaged $512.90, but $520 a month paid $486.74 a unit on average: 5% less, from buying more in the 2022 fall.
- The answer compares like with like. When every scenario put in about the same money (within 0.5%), the highest final value wins. When they did not, more money in is not a better plan, so the sentence ranks them by ROI.
- DCA against a lump sum. The tool has no lump-sum scenario. A lump sum puts all the money to work on day one; a monthly plan has, on average, about half of it at work. In a market that rose, as SPY did (from $406 to $763 over the window, up 88%), the lump sum ends ahead. What DCA buys is protection from putting everything in at a peak. CAGR (TWR), below, is the nearest stand-in for the lump sum's rate.
The prices include dividends. Yahoo Finance's adjusted close folds every dividend and split into the price, so a holding grows as if dividends were reinvested. A ticker that falls back to Stooq is unadjusted: it shows ⚠️ in the loaded list, and What this assumes says its dividends are left out.
Data: the prices and the dates
A real ticker is its daily prices. A simulated asset is one random path built from a yearly return and a volatility, by geometric Brownian motion: each weekday's price is the last one times a random factor.
- μReturn, a year
- σStandard deviation, a year
- zta random draw, close to a standard normal (the sum of three uniform draws)
| Field | What it is | In the maths | Raise it |
|---|---|---|---|
| Currency Symbol | The symbol every amount wears. | A label only. A ticker is read in the currency it is quoted in, so DHHF.AX is in Australian dollars and SPY in US dollars, whatever the symbol. | no effect |
| Tickers | The assets to load, by their Yahoo Finance codes. | Their daily adjusted closes, and opens, highs and lows scaled to match, from 1990 on. | more to choose from |
| Asset name | A simulated asset's name. | In Portfolio mode, part of the random seed: the same name, return and volatility give the same path in every portfolio. On the main page the seed takes the scenario's name instead (see the warning below). | a label and a seed |
| Return | The yearly growth the simulated path is built around. | μ. One path is one draw: its own growth lands above or below μ. | ▲ final value |
| Standard deviation | How hard the simulated price swings in a year. | σ. The middle path grows at eμ − σ²÷2 − 1 a year: at a 10% return and 18%, about 8.7%. | ▲ swings▲ DCA's discount on average cost |
| Start, End | The Date Range. | Every scenario runs on the trading days all of their assets share, from the first on or after Start to the last on or before End. | earlier Start: more top-upsmoves the answer most |
Watch out: two markets share only their common days. Put an ASX fund beside a US one and each skips the other's holidays; a seven-day crypto series loses its weekends. The run says how many days it used under the dates.
Watch out: on the main page a simulated path follows the scenario's name. Its seed is the Simulation Seed with the scenario's name, return and volatility, so two scenarios on one simulated asset, named differently, buy into two different paths, and renaming a scenario redraws its path at the next Simulate. To compare two styles on one simulated path, compare them in Portfolio mode, or give each scenario the asset's own name.
Scenarios: the top-ups and the asset
A scenario's money is its amount on each buy day, stepped up once a year if you ask. Nothing waits in cash: a top-up is deposited on the day it buys.
- AAmount per top-up
- gYearly increase
- yyears since the run's first day; ⌊ ⌋ keeps the whole years
| Field | What it is | In the maths | Raise it |
|---|---|---|---|
| Scenario name, colour | What the plan is called and drawn in. | Labels, for a real ticker. For a simulated asset the name is part of its random seed (see Data, above). | no effect on a ticker |
| Amount per top-up | The money each buy puts in. | A. Units, deposits and the final value all scale with it; ROI does not move. | ▲ final valueROI unchanged |
| Yearly increase | How much the amount grows each year, compounding. | g: year 2 buys A(1 + g), year 3 A(1 + g)². Later money has less time to grow, so ROI usually dips. | ▲ final value▼ ROI, usually |
| Asset | The loaded ticker or simulated asset this plan buys. | The price series p and Pend. Every other field only decides when, and how much, to buy it. | the biggest choice |
Watch out: no fees and no tax here. Each top-up buys its whole amount. That flatters a weekly plan most, which trades four times as often. Portfolio mode charges a fee on every trade.
Investment Style: the day it buys
Every style names a decision day, and the order fills by Trade at. Date styles buy every period. Momentum and technical styles buy at most once a period: the first day their rule holds, or the period's last trading day if Invest at End of Month (or Week) is ticked.
- Ctthe day's close
- Cfirstthe close on the period's first trading day
- θThreshold
- nRSI period
| Field | What it is | In the maths | Raise it |
|---|---|---|---|
| Monthly (Fixed Date): Day of month | Buy once a month on this day. | The trading day whose date is closest to it, so the 31st buys on a short month's last trading day. | barely moves it |
| Weekly (Fixed Day): Day of week | Buy once a week on this weekday. | The closest trading day in that week; Saturday and Sunday land on Friday. | barely moves it |
| Buy the Dip, Buy the Peak: Threshold | The move from the period's first close that triggers a buy. | θ, tested each day as above. A bigger dip is rarer, so with the end-of-period box off fewer months buy. | fewer buys on signal |
| Frequency | Monthly or Weekly: the window a momentum or technical style buys in at most once. | The period above. A switch restates the amount so a year's money stays the same: × 12 ÷ 52, or back. | weekly: more, smaller buys |
| Invest at End of Month (or Week) if target not reached | A buy on the period's last trading day when the rule never held. | On: every period buys, so the money in matches a date plan. Off: a quiet period is skipped and its money never goes in. | off: ▼ money in |
| MA Crossover: Fast MA, Slow MA | A type (SMA or EMA) and a length in days for each. | Buys the day the fast average closes above the slow one after being at or below it (a golden cross). | longer: rarer signals |
| RSI Oversold Buy: RSI period, Oversold < | The RSI's length, and the level it must fall below. | Buys on a day RSI(n) is under the level. | higher level: more signals |
| Bollinger Band Dip: MA period, Deviations, Trigger | The bands: an SMA of n days ± k standard deviations. | Close below lower band: a close under SMA − kσ. Reclaim above lower band: the day it closes back above it. | more deviations: rarer signals |
| MACD Bullish Cross: Fast EMA, Slow EMA, Signal EMA | MACD is the fast EMA less the slow one; its signal is an EMA of MACD. | Buys the day MACD crosses above its signal line. | longer: slower signals |
| MACD Histogram Recovery: Hist > | The histogram is MACD less its signal. | Buys the day it rises above the level after being at or below it. The level is in the price's own units. | rarer signals |
| ADX Trend Filter: ADX period, Trend > | Trend strength, 0 to 100, and the bar it must clear. | Buys on a day ADX is above the bar. Worked from closes alone, with the high and the low taken as the close. | higher bar: rarer signals |
| Monthly (Top), (Bottom); Weekly (Top), (Bottom) | The Forward styles: the period's highest or lowest close. | The day is picked after the period is over, so no one could follow it. It brackets what any timing rule on that cadence could do. | a benchmark |
Watch out: the Forward styles look ahead. The tool says so in amber, and What this assumes calls them hindsight. Even so, in the example below perfect hindsight within each month moved the result by only about $1,300 either way on $31,200.
Assumptions: the fill, the seed and the risk-free rate
Every rule decides on a day's close, using only prices up to that close (Forward styles aside). Trade at sets where the order fills.
- dthe decision day
- O, Ca day's open and close
| Field | What it is | In the maths | Raise it |
|---|---|---|---|
| Trade at | When an order fills. | The fill price above. A missing open fills at the last close, and the run says so; a decision on the last day with a next-day fill never fills. | barely moves it |
| Simulation Seed | The starting point of the random numbers. | Each simulated asset's path is seeded by this and its name, return and volatility. A new seed is a new path, the same spread of outcomes. | another path |
| Risk-Free Rate | What money earns with no risk, a year. | Rf in Sharpe and Sortino only. No money earns it on this page. | ▼ Sharpe and Sortinono money moves |
The figures: ROI, CAGR (TWR), CAGR (MWR), Sharpe and Sortino
ROI is the plain gain on what went in. The rest come from the daily value, starting on the first day money is at work, and turn the result into a rate a year and a reward for the risk taken.
- Ftthe money topped up that day
- Yyears from the first buy to the last day
- ti, Tyears from the first buy to top-up i, and to the end
- rfthe daily risk-free rate, (1 + Rf)1÷252 − 1
| Figure | What it is | In the maths | Read it |
|---|---|---|---|
| Final value | What the holding is worth on the last day. | U × Pend. | ▲ better, for the same money in |
| ROI | The gain as a share of the money put in. | (V − D) ÷ D. It ignores when the money went in. | ▲ better |
| Topped up, Trades | The money put in, and how many buys. | D, and the number of fills. | context |
| CAGR (TWR) | The holding's own growth rate a year, whatever you put in when. | The chained daily returns, top-ups taken out. Close to the asset's own growth from the first buy. | ▲ better asset |
| CAGR (MWR) | Your own money's growth rate a year. | The rate that makes the top-ups grow into the final value, found by bisection. | ▲ better timing |
| Sharpe | Return above the risk-free rate per unit of swing. | As above, from daily returns, scaled to a year. | ▲ smoother return |
| Sortino | Sharpe counting only the falls as risk. | As above. | ▲ fewer deep falls |
- TWR against MWR is the timing test. TWR grades the asset; MWR grades your money. A monthly plan holds little in year 1 and the most at the end, so MWR leans on the later years. For SPY $520 a month, TWR was 14.21% and MWR 18.06%: the 2022 fall hit only the first few thousand dollars, and most of the money was at work in the strong years after.
- The display switches (Advanced metrics, Candlesticks, Show Buy Date, Show Indicators, Show Total Deposited) change what you see, never a figure.
Watch out: no drawdown, and Sharpe is daily noise. The tool does not report the deepest fall. And with daily returns a few large days dominate Sharpe and Sortino; over five years they rank plans, they do not promise the next five.
Optimise: a sweep, not a forecast
Optimise copies the scenario, writes each tested value in where the form would, and runs the very engine Simulate uses. One setting runs its values; two run every pair.
| Field | What it is | In the maths | Raise it |
|---|---|---|---|
| The gauge | Beside every setting that changes nothing else on the form. | The amount, its increase, the day, the weekday, a threshold, Frequency, the end-of-period buy and every indicator setting. Not the asset, the style, Trade at, the seed, the dates or the risk-free rate. | up to two at once |
| Start value, End value, Steps | The range, and how many values in it, ends included. | As above. A list (a weekday, a type) runs the options you pick. | more steps: ▲ runs |
| Show | What the sweep is ranked and drawn by. | Best and Worst are its highest and lowest; a tie, within rounding, goes to the first tested. | ranking only |
| Shown in the charts below | The tested value the charts and the breakdown show. | That run again, in full. | reading only |
Watch out: a rate can be won by putting less in. A threshold that rarely fires buys less, and its ROI can top the sweep. When the best run topped up a different amount, the answer says so; rank by Final value or Net to compare the money. And the best setting is the best for these past prices: the next stretch can differ.
Portfolio mode: weights, rebalancing, cash and fees
A portfolio is cash plus units of each asset. A top-up lands in cash, and the Method decides how cash becomes units. Cash waiting earns the risk-free account every trading day; every trade pays its fee.
- uk, Pkunits and price of asset k
- wkits Target Weight
- Tcash plus everything held, that day
- Vkwhat asset k is worth
- RRisk-free rate
- fb, fsBuying fee, Selling fee
| Field | What it is | In the maths | Raise it |
|---|---|---|---|
| Amount per top-up, Yearly increase | As on the main page. | Lands in cash on each top-up day. | ▲ final value |
| Top-up period, Schedule | Weekly, fortnightly, monthly, quarterly or yearly, on the weekdays, days, months or week picked. | The closest trading day to each. Several days a month means several top-ups. A switch of period restates the amount. | more days: ▲ money in |
| Risk-Free Account: Rate, Ticker; Risk-free rate, Risk-free ticker | What waiting cash earns: a fixed yearly rate (0% unless you set one), or a money market ticker's price. | The cash line above. It also sets the portfolio's own rf in Sharpe and Sortino. | ▲ interest▼ Sharpe |
| Assets | The loaded tickers and simulated assets the portfolio holds. | Each Pk, on the days every portfolio's assets share. | the biggest choice |
| Method: Towards Weight | Top-ups buy only what is below target. Never sells. | The formula above: the whole top-up goes to the shortfalls, in proportion. | no selling fees |
| Method: Constant Weight | Kept on target by selling what is over and buying what is under. | Sells Vk − wkT of each asset above target, then buys the shortfalls with the cash. | ▲ feesholds the risk you chose |
| Rebalance Timing, Rebalance period, Rebalance schedule | At top-up, or a Separate schedule (Constant Weight). | At top-up: buy the shortfalls, then rebalance, on every top-up. Separate: top-ups wait in cash, earning the rate, until each rebalance day. | rarer: ▲ cash waiting |
| Method: Constant Allocation | Each top-up split by the weights. Never rebalances. | spendk = wk × cash. The holdings drift with the prices. | the winner grows its share |
| Method: Trend Following; Momentum lookback, Rank Weights | Each top-up split by rank of trailing return. | Each asset's return over the lookback (21 trading days a month) on the decision day; Rank 1, the best, gets the first rank weight. Never sells. | longer lookback: slower to switch |
| Method: Rule-Based Triggers; Reserve, Deploy Triggers | Top-ups wait in a reserve until an asset's own trigger fires. | A firing asset is bought up to wkT, from cash or by selling the reserve asset. Trigger: Invest at Top-up, Price % move (Direction, Amount, From a month or week open or a previous top or bottom over a Lookback), or a technical signal as on the main page, each with Frequency and the end-of-period buy. | rarer triggers: ▲ cash waiting |
| Target Weights | Each asset's share; they must add up to 100%. | wk: of the whole portfolio for Towards Weight, Constant Weight and Rule-Based; of each top-up for Constant Allocation. | more in shares: ▲ return and swings |
| Buying fee, Selling fee | A % of every buy and every sale (0.1% each to start). | fb, fs as above, counted in Fees in the table. | ▼ final value |
- How return and risk combine. On a day with no trades, the portfolio's return is its holdings' returns weighted by their value: rp = Σ wkrk, cash at its rate. Its swing is less than the weighted swings whenever the assets do not move together. The tool measures that from the portfolio's own daily values, so the benefit shows up in its Sharpe.
- 80/20 against 60/40. More in shares earned more: $78,915 against $75,604 on $60,000, CAGR (TWR) 8.42% against 7.19%. But 60/40 had the higher Sharpe, 1.08 against 0.96: per unit of swing, the cash-heavy mix paid better.
- Rebalancing costs and helps. Over these five years, splitting each top-up 50/50 and never rebalancing ended $1,720 ahead of keeping SPY and GOVT at 50/50: shares beat bonds, and the unrebalanced mix let the winner grow.
Watch out: waiting cash earns nothing unless you set a rate. The Risk-free rate starts at 0%. A quarterly rebalance or a rare trigger can leave real money idle; the tile's Cash share and the table's Interest show how much.
Worked example: SPY, $520 on the 1st of every month
The first scenario of the Monthly vs Weekly Quick Start, 1 Oct 2021 to 30 Sep 2026, filled at the next day's open (the default). The figures are the tool's own, from its Detailed Breakdown and Final Summary.
What $520 a month grew to
Each top-up buys $520 ÷ the fill price. The units add up; the last close values them.
- First buyDecided at the close on Fri 1 Oct 2021, filled at Monday's open, $404.99: $520 ÷ $404.991.283995 units
- Second buyDecided 1 Nov, filled 2 Nov at $430.44: $520 ÷ $430.441.208052 units
- All 60 buysOne a month to 2 Sep 2026, fills from $353.58 (4 Oct 2022) to $760.56 (2 Sep 2026)64.099753 units
- Topped up60 × $520$31,200
- Average cost$31,200 ÷ 64.099753. The 60 fill prices average $512.90: the harmonic mean is lower$486.74
- Final value64.099753 × $762.63, the close on 30 Sep 2026$48,884
- ROI($48,884 − $31,200) ÷ $31,200, or $762.63 ÷ $486.74 − 1. The tool's tile: ROI 56.68%56.68%
- The rates a year. Advanced metrics: CAGR (TWR) 14.21%, CAGR (MWR) 18.06%, Sharpe 0.63, Sortino 0.91 at the 4% Risk-Free Rate.
- Its twin, $120 a week, bought 264 times for $31,680 and ended at $49,379: more money, a little less on it (ROI 55.87%). Same money a year, nearly the same result.
- The amount does not change the rate. The Stock vs ETF example puts $500 a month into SPY over the same dates: $47,004 on $30,000, the same 56.68%.
What moves the answer
Each input moved on its own from the worked example, on the tool itself, with the prices this guide ships.
- Start date1 Oct 2021 → 1 Oct 2020 / 1 Oct 2022+$13,145−$11,789
- Amount per top-up$520 → $468 / $572 a month−$4,888+$4,889
- Yearly increase0% → none lower / 5% a year$0+$4,386
- Buy day in the monththe 1st → the lowest / highest close (hindsight)+$1,321−$1,393
- Day of monththe 1st → the 10th / the 20th−$81−$199
- Trade atnext day's open → same day's close / next day's close−$24−$118
Read it from the top: the longest bar is the input your answer rests on most. The Risk-Free Rate would be a bar of zero: it moves no money. Measured by guides/_sensitivity.mjs.
- When you start, and how much you put in, are the answer. A year either way on the start date moves the result by $12,000 to $13,000: more top-ups, and a different stretch of market. The amount moves it in proportion.
- Timing within the month hardly matters. The 10th or the 20th instead of the 1st: under $200. A fill at the close instead of the open: $24. Even perfect hindsight, buying every month at its lowest close, adds only $1,321.
- ROI tells a different story from value. Starting a year earlier lifted ROI from 56.68% to 65.68%, starting later cut it to 48.62%; the amount left it unchanged; a 5% yearly increase put $3,280 more in but cut ROI to 54.50%, because later money had less time to grow.
- So spend your effort on the plan, not the day. Choose an asset and an amount you can keep up through a fall; a clever buy day is worth a rounding error by comparison.
The base case
SPY, $520 a month from 1 Oct 2021: $48,884 on $31,200.
A year earlier
From 1 Oct 2020: 72 top-ups, $37,440 in, $62,029 out. ROI 65.68%.
A year later
From 1 Oct 2022, near the bottom of the fall: 48 top-ups, $24,960 in, $37,095 out. ROI 48.62%.
Back to the base
1 Oct 2021 again. Try it yourself: press Pause and change a date.
What it leaves out
What the answer rests on, beyond the figures you enter. What this assumes, under the results, lists the ones your run uses.
- The past only. Every real run replays prices that already happened. A plan that won over five years can lose over the next five.
- No tax, and no fees on the main page. Portfolio mode charges a % fee on every trade; neither page has tax, brokerage minimums or spreads.
- One currency, never converted. The symbol is a label; mixing an ASX and a US ticker adds Australian and US dollars as if they were one.
- Dividends ride in the adjusted price, as if reinvested on the day, with no tax or delay. A Stooq series leaves them out.
- Fractional units at the fill price. Every top-up buys its whole amount at the open or close, whatever its size.
- Nothing is sold on the main page, and the holding is valued, not sold, on the last day.
- A simulated asset is one random path with a constant return and volatility: a what-if, not a forecast. Change the seed to see another.
- Indicators see only the Date Range. A long average needs months of the window to warm up before it can signal.
- No drawdown or worst-case figure. Read the Portfolio Value chart for the falls.
Do not lean on it when the best plan topped up a different amount from yours, a winning style is a Forward one, a sweep's best value sits alone on a spike, or your money is in a different currency from the ticker.
This guide and the tool are general information, not financial advice. Past returns do not predict future ones; talk to a licensed adviser before you invest.
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