Tag: sensitivity analysis

  • At face value

    At Face Value

    Five numbers from ALTO’s economic report are now in wide circulation. Each one is either the top of a range or the middle of one. In every case the range exists. In every case it was not printed.

    ⚠ The numbers you will hear

    $49.5 billion in benefits · $24.5 billion in added GDP · 1.1 per cent of Canada’s economy · 50,000 jobs · 24 million riders a year

    None of these figures is invented, and none of them is a lie. Every one of them comes from real modelling work by real economists. But each describes something narrower, or more conditional, than it sounds — and in every case the report chose to print one number where it had a range.

    Critical Finding

    $49.5 billion is labelled an upper estimate — the good end of a range whose other end is nowhere in the document. $24.5 billion is a central estimate from a range its own modeller published as $14.8 billion to $41.0 billion. 24 million riders is prefixed “up to.” 50,000 jobs sits in a table headed “upper estimate” — and ALTO’s own appendix states those figures are not net economic gains.

    Meanwhile the report declines to publish a benefit-cost ratio — the single number that would tell you whether the benefits exceed the costs.

    The point of this brief is not that ALTO’s numbers are wrong. It is that they are being used as though they were settled, when the documents behind them show they are not.

    The document under examination
    Canada’s Moment: The Economic Opportunity of High-Speed Rail
    ALTO, August 2026 — 83 pages. All figures on this page are from that report or the studies it commissioned.
    Read ALTO’s report
    Number One

    “$49.5 billion in benefits”

    What you’ll hearWhat it actually is
    ALTO delivers $49.5 billion in benefits to Canadians. The upper estimate of benefits, added up over 60 years, adjusted downward for the fact that most of them arrive decades from now. Nearly four-fifths of it is saved travel time.
    In plain language — what “discounted” means

    Economists assume a benefit arriving in 2085 is worth less to us today than the same benefit arriving next year — the same reason $100 now beats $100 in twenty years. So future benefits get shrunk before they are added up. This is standard, required, and correct.

    It also does a great deal of work here, and the Initiative’s brief Hours Are Not Dollars sets it out in full. The report says ALTO saves 9.3 billion hours of travel time, and values an hour at $22.32. Multiply those together and you get $207.6 billion. The figure that appears in the benefit table is $38.4 billion. Discounting removes about 82 per cent of the face value, because most of those hours are saved by people who have not been born yet.

    In plain language — what “upper estimate” means

    The benefit table is headed “upper estimate.” Every narrative figure is prefixed “up to” — up to 24 million riders, up to 9.3 billion hours, up to 400 lives saved. An upper estimate is one end of a range. The other end does not appear anywhere in the 83 pages.

    There is one more thing about this number worth knowing. The report opens by making traffic congestion the problem — Highway 401, Pearson airport, journeys that are too slow and too unreliable. In the benefit table, easing congestion is worth $570 million out of $49.5 billion: about 1.2 per cent. Cleaner air is worth $27 million, roughly one part in two thousand.

    The problem the report leads with and the benefit the report counts are almost entirely different things.

    Number Two

    “$24.5 billion in added GDP”

    What you’ll hearWhat it actually is
    ALTO adds $24.5 billion to the Canadian economy. The middle of a range running from $14.8 billion to $41.0 billion, produced by a different model, in a different year’s dollars, and measured as an annual figure rather than a 60-year total.
    Can it be added to the $49.5 billion? No — the report says so on page 9

    The Initiative examined this figure in detail in Two Point Two Trillion. It is the number ALTO’s website states most confidently: the analysis “concludes that Alto will permanently uplift Canada’s GDP by 1.1%.” The study behind it is more careful, and it publishes its range.

    $14.8B
    the low end of the modeller’s published range
    Aviseo, Table 1
    $24.4B
    the baseline — the only figure that reached the public
    Aviseo, Table 1
    $41.0B
    the high end — nearly three times the low end
    Aviseo, Table 1
    In plain language — where this number comes from

    It comes from a computable general equilibrium model — a simulation of the whole Canadian economy that works out what happens to wages, prices, trade and output when you change one thing. These are legitimate, widely used tools. Governments run them all the time.

    The thing being changed here is a single assumption: that firms in Toronto, Montréal, Ottawa and Québec City become three per cent more productive because the train exists. That one assumption produces $21 billion of the $24.4 billion — 86 per cent of the total.

    In plain language — how three per cent was chosen

    The modellers say so openly, and deserve credit for it. Studies in Germany and Sweden found productivity gains of two to four per cent. So, they write, “it seems reasonable to consider a baseline scenario” of three per cent.

    They also tested two per cent and five per cent. Two per cent gives the $14.8 billion; five per cent gives the $41.0 billion. There is no scenario in which the productivity gain fails to appear at all — even the pessimistic case assumes a two per cent uplift across four city economies.

    One further detail. Because nobody yet knows where the stations will go, the modellers applied that productivity boost to the entire metropolitan areas of Toronto, Montréal, Ottawa and Québec City — standing in for the 30-kilometre radius around a station that the research actually supports. Peterborough, Laval, Trois-Rivières and Kingston appear nowhere in that calculation.

    Number Three

    “1.1 per cent of Canada’s GDP”

    What you’ll hearWhat it actually is
    ALTO raises Canada’s GDP by 1.1 per cent. 1.1 per cent of the Canadian economy as it was in 2019 — the last pre-pandemic year, used because 2020 and 2021 were distorted.

    The modeller says this plainly: the gain is “roughly 1.1% of Canada’s 2019 GDP.” Canada’s Moment drops the year. The website drops the year and adds the word “will.”

    Taken across the published range rather than the midpoint, the same calculation gives roughly 0.6 per cent at the low end and 1.8 per cent at the high end. One of those three numbers is in circulation.

    Number Four

    “50,000 jobs and $86 billion”

    What you’ll hearWhat ALTO’s own appendix says
    Building ALTO creates 50,000 jobs and adds $86 billion to GDP. These figures “represent spending-supported economic activity rather than net economic gains” and are “therefore not included in the benefit-cost ratio.”
    In plain language — why jobs numbers are not benefits

    If you spend $60 billion on anything — a railway, a bridge, a very large hole — people get paid to do it, and those people spend their wages locally. Counting that as a benefit of the project would mean any spending is a benefit, which cannot be right: the money had to come from somewhere, and would have employed someone else.

    ALTO’s appendix says this outright, and adds that the model used “does not account for potential constraints in the economy, such as labour shortages or capacity limits.” Most promoters present numbers like these as benefits and say nothing. ALTO explicitly refuses to — on page 80. The 50,000 jobs appear on page 5.

    The caveat is genuine and creditable. It is also thirteen pages behind the front of the executive summary, and it has not travelled with the number.

    Number Five

    “24 million riders a year”

    What you’ll hearWhat it actually is
    ALTO will carry 24 million passengers a year. “Up to” 24 million a year by 2055 — the output of scenarios and sensitivity tests whose range the report describes but does not show.

    ALTO’s own methodology appendix explains exactly what it should have published. Sensitivity testing, it says, gives decision-makers “a range of plausible outcomes rather than relying on a single forecast.” The flowchart’s stated output is “a range of plausible ridership outcomes.”

    The report then prints one number.

    That number matters more than it looks, because four of the seven benefit lines depend on it — car running costs, road safety, congestion and greenhouse gases all flow from an estimate of 90.1 billion kilometres of driving avoided. And how much driving is avoided depends on who the new passengers are. Someone who switches from a car takes kilometres off the road. Someone who switches from a plane takes none. Someone making a brand new trip takes none. That breakdown is published nowhere.

    And One Number That Is Missing

    There is no benefit-cost ratio

    The standard test of whether a public investment is worth making is simple: divide the benefits by the costs. Above one, it pays. Below one, it does not.

    Canada’s Moment does not publish that number. Page 62 explains why: the cost estimate is too early-stage for the ratio to be meaningful. The same absence runs through ALTO’s public benefits page, examined in Many Benefits, One Missing Number.

    In plain language — why that reasoning is backwards

    ALTO names a Metrolinx appraisal manual as the authority for two of its key figures — the subject of It Left the Rules Behind. That manual treats early-stage uncertainty as the reason to test and publish ranges — not as a reason to withhold them. Its instruction for the earliest project stage is to conduct sensitivity testing to understand the level of uncertainty.

    The same manual also requires early-stage rail costs to be marked up by 64 per cent before being compared with benefits, because rail megaprojects are systematically undercosted. That would put ALTO’s $60–90 billion into the comparison at roughly $98–148 billion. No such uplift is applied, and the concept is not mentioned.

    So the report declines to divide the benefits by the costs — while placing $49.5 billion in benefits and $60–90 billion in costs on the same spread, where any reader will do the arithmetic themselves.

    It has been done before — on this corridor, at this stage

    In December 2021 the Joint Project Office — a body formed by VIA Rail Canada and the Canada Infrastructure Bank — completed a business case for High Frequency Rail, the slower and cheaper predecessor to ALTO along the same corridor. It was at a comparable point in its development.

    That document published a benefit-cost ratio.

    Project
    High Frequency Rail — the same Toronto–Québec City corridor, at a comparable stage of design
    Capital cost
    $27.71 billion in 2020 prices
    Benefit-cost ratio
    Approximately 0.13 — rising to about 0.4 on an expanded basis that also counts agglomeration effects and a resource correction
    Net present value
    −$21.1 billion over thirty years
    Public subsidy
    $37.1 to $42.2 billion over thirty years, under the delivery models assessed
    Parameters
    Drawn from Metrolinx and Ministère des Transports du Québec guidance — the same two sources Canada’s Moment cites five years later

    Nobody chose to publish it. It became public in November 2025, when the Canada Infrastructure Bank released it under the Access to Information Act — almost four years after it was written.

    In plain language — what a ratio of 0.13 means

    A benefit-cost ratio of 1.00 means a project returns exactly what it costs. Above 1.00 it pays for itself in economic terms; below 1.00 it does not.

    A ratio of 0.13 means that for every dollar spent, about thirteen cents of measurable benefit came back. On the wider basis, which counts effects that are harder to measure, about forty cents. The Joint Project Office published those figures anyway, alongside the subsidy the project would need.

    Read this part carefully — these are not ALTO’s numbers

    0.13 is not ALTO’s ratio, and it is not an estimate of ALTO’s ratio. High Frequency Rail was a different project: slower, at $27.71 billion rather than $60–90 billion, assessed over thirty years rather than sixty. The Joint Project Office described its own results as preliminary. None of its figures transfers to ALTO by arithmetic, and this brief does not offer them as a forecast of anything.

    What the document establishes is narrower, and harder to answer: a benefit-cost ratio can be produced for a project on this corridor at this stage of design — because one was. Immaturity did not prevent it then, on a cost estimate roughly a third the size.

    There is one further detail worth recording. The same document, released under a different access request, comes back with one section withheld in full, the capital cost and revenue sentences cut off mid-clause, and the subsection headings of its Economic Case removed from the table of contents — with no exemption provision marked to explain why.

    What Cannot Be Checked At All

    The benefit table cannot be audited by a reader

    Each row of the main benefit table gives you a quantity and a dollar value. The natural thing to do is divide one by the other and see what price has been put on an hour, a tonne of carbon, or a life. You cannot.

    The dollar figures are discounted. The quantities are not. And the prices that would connect them are referenced by source but never stated — only the $22.32 hourly value appears anywhere.

    One row does not appear to add up at all. The report says ALTO avoids up to 400 deaths and 26,000 injuries, valued at $610 million. Working backwards, that is roughly $1.2 billion before the time adjustment — which 26,000 injuries alone would exhaust at $50,000 each, a low figure by Canadian standards, leaving nothing for the 400 lives. Either the casualty counts and the money cover different periods, or the values placed on a life and an injury are far below what Canadian governments normally use. The report does not publish enough to say which.

    The Takeaway

    The same thing has happened to every number

    Top of a range
    $49.5 billion in benefits — the table is headed “upper estimate”; the lower estimate is nowhere in the document.
    Middle of a range
    $24.5 billion in GDP — the modeller published $14.8 billion to $41.0 billion. Only the midpoint travelled.
    Top of a range
    24 million riders — prefixed “up to,” from a process whose stated purpose is to produce a range.
    Top of a range
    50,000 jobs — in a table headed “upper estimate,” for figures the appendix says are not net gains.
    Not published
    The benefit-cost ratio — the one number that would put the others in proportion. The last time one was produced for this corridor, it took an access-to-information request to see it.

    This is the finding. Not that any figure is fabricated — none is. Not that the modelling is incompetent — the underlying studies are careful, and say so about their own limits. But at every point where a choice existed between publishing a range and publishing a single flattering number, the single number was published, and it is the single number that has reached councils, newspapers and the public.

    The ranges are not secret. Most of them are in ALTO’s own commissioned studies, sitting on ALTO’s own research page. They simply did not make it into the document that everyone reads.

    None of these figures should be repeated at face value, in either direction. They are the optimistic end of work that its own authors describe as uncertain — and anyone quoting them, for or against the project, should say which end of the range they are quoting.

    In Fairness

    What this brief is not saying

    Credit where it is owed

    The modellers were transparentThe economic study behind the GDP figure publishes its full range, states its assumptions, and explains how each was chosen. This brief is only possible because that work was published.
    ALTO refuses a claim it could have madeIts appendix states that the construction jobs and spending figures are not net economic benefits — a caveat most promoters simply omit.
    Some choices are genuinely cautiousThe value of an hour is held flat for 60 years rather than rising with incomes, which lowers the benefit total substantially. Safety benefits are capped after 20 years.

    And the limits of what we show

    Some arithmetic here is oursThe reconciliations use assumptions about timing that ALTO does not disclose. They show the numbers cannot be reproduced from what is published — not that they are wrong.
    This is about disclosure, not competenceThe underlying modelling may be entirely sound. The objection is that a reader cannot tell, because the working is not shown.
    A range is not a refutationThat the GDP figure could be $14.8 billion does not mean it will be. It equally could be $41.0 billion. The point is that one number is being presented as though the others do not exist.
    What To Ask

    Five questions for anyone quoting these figures

    1. Is that the top of the range, or the middle?

    For four of the five headline numbers, it is one or the other.

    2. What is the lower estimate?

    The benefit table is explicitly labelled an upper bound. Every range has another end.

    3. What is the benefit-cost ratio?

    Not published. It is the number that puts every other number in proportion — and one was produced for this corridor in 2021, so “too early” is a choice rather than a constraint.

    4. What price was put on a life, or a tonne of carbon?

    Referenced by source, never stated. Without them, no line of the benefit table can be checked.

    5. Where do the new passengers come from?

    Cars, planes, existing trains, or trips that would never have happened? A fifth of the benefits depend on the answer.

    Sources

    Primary documents

    1.
    ALTO, Canada’s Moment: The Economic Opportunity of High-Speed Rail, August 2026, 83 pp. Benefit table and value of time at p. 72; cost-benefit methodology at p. 73; GDP table and its “central estimate” note at p. 75; the roughly 100 simulations at p. 78; input-output caveat at p. 80; construction figures at Table A4, p. 81; ridership methodology at pp. 81–83; benefit-cost ratio at p. 62; non-additivity of the models at p. 9. altotrain.ca (PDF)
    2.
    Aviseo Conseil, An Overview of the Structural Economic Impacts of Alto: Computable General Equilibrium Modelling Approach, June 2026, 25 pp. Prepared on behalf of Alto. Published range at Table 1; productivity scenarios at Shock 1; labour-supply scenarios at Shock 2; geography assumption at p. 10. Available on ALTO’s research page.
    3.
    Metrolinx, Business Case Manual Volume 2: Guidance, August 2021, 222 pp. Cited by ALTO as the source of its discount rate and value of time. Sensitivity requirements at pp. 87–89; optimism-bias uplift at pp. 90–94; economic parameters at Table 5.8, p. 98.
    4.
    Joint Project Office (VIA Rail Canada and the Canada Infrastructure Bank), High Frequency Rail Project: Business Case Update, V.002, 10 December 2021, 150 pp. Released by the Canada Infrastructure Bank under the Access to Information Act, November 2025. Capital cost at p. 7; benefit-cost ratio, net present value and subsidy comparison at p. 8; appraisal parameters sourced to Metrolinx and MTQ guidance at p. 40; impact results and both ratios at Table 14, p. 43. The same document released as Annexe A to access request 22-2207 withholds section 9.7 in full, truncates the capital cost and revenue sentences mid-clause, and withholds the subsection headings of the Economic Case within its table of contents, with no exemption provisions marked.
    5.
    Transport Canada, Statistics on the social costs of collisions in Canada, and the underlying Ontario social cost model — used here as the comparison for standard Canadian casualty valuations. ALTO does not cite these and may have used others.
  • It left the rules behind

    ALTO Used the Rulebook’s Numbers. It Left the Rules Behind.

    ALTO’s new economic report takes two key figures from an Ontario appraisal manual and names that manual as its source. The manual attaches conditions to those figures. The report uses the figures and leaves the conditions out.

    ⚠ The Document Under Examination

    In August 2026 ALTO published Canada’s Moment: The Economic Opportunity of High-Speed Rail, an 83-page report setting out the economic case for the Toronto–Québec City high-speed rail corridor. Its central figure is $49.5 billion in benefits to travellers and society, set against a construction cost of $60 to $90 billion.

    To turn sixty years of future benefits into one number in today’s dollars, the report needs two things: a rate at which to shrink future benefits back to present value, and a price for an hour of a traveller’s time. For both, it names one source — a public appraisal manual published by Metrolinx, the Government of Ontario’s transit agency for the Toronto and Hamilton region.

    Critical Finding

    The Metrolinx manual does not simply publish those two numbers. It publishes them as part of a package. For any project over $500 million, the same manual requires that the numbers be re-tested at different values, that results be reported as a range rather than a single figure, that early-stage construction costs be topped up to correct for known optimism, and that the project’s benefit-to-cost ratio be published. ALTO’s project is roughly a hundred times larger than that threshold.

    None of those requirements appears in ALTO’s report. There is no test of the discount rate, no range around the $49.5 billion, no optimism adjustment to the cost, and no benefit-cost ratio. The two numbers were carried across. The conditions attached to them were not.

    This brief does not argue that ALTO used the wrong discount rate. The rate it used is a mainstream, defensible choice. The finding is narrower and, we think, harder to answer: the report presents a set of choices as though they were simply facts, and a reader has no way of knowing that anything was chosen at all.

    Download
    Two Parameters, None of the Conditions — Full Brief (PDF)
    Full research brief with page references, parameter tables, and sources
    Download PDF
    Start Here

    Why this matters

    Imagine a builder quotes you a price for an extension. Asked where the figures come from, they name the standard industry pricing guide. That guide does set those rates. It also says that on a job this size the quote must show a high and a low figure rather than a single number, must add a fixed percentage on top because early quotes are almost always too low, and must set the total against the value of what you are getting.

    The builder uses the guide’s rates and does none of the rest. The quote may well be sound. You have no way of telling — and nothing on the page tells you that anything was left out.

    That is the situation this brief describes. ALTO’s economic report takes two figures from a public appraisal manual and names that manual as its source. The same manual attaches a set of mandatory checks to those figures for projects of this size. The figures were used. The checks are absent, and their absence is not disclosed.

    It matters because of what rests on the result. The $49.5 billion benefit figure is the number now appearing in news coverage and public statements as the reason to build a railway costing $60 to $90 billion of public money, ahead of a federal decision in 2029. Presented as a single figure with no range, it reads as something measured. The report’s own tables call it an upper estimate.

    What the report gives you

    One benefit figure, $49.5 billion, built on a rate and an hourly value of time presented without explanation of where they came from or what else was possible. No range. No benefit-to-cost ratio.

    What its own cited source requires

    The same figures re-tested at different values, results published as a range with a confidence level, a 64 per cent top-up on early-stage construction costs, and the benefit-to-cost ratio reported.

    What that leaves a reader with

    No way to judge how firm the headline number is — and no indication in the document that this is a question worth asking.

    One thing this brief does not do: argue that the numbers ALTO chose are wrong, or that high-speed rail is a bad idea. The rate it used is a mainstream choice, and the one test the manual requires would, if anything, make the benefits look larger. The ask is simply that the tests be run and published, as the cited manual says they must be.

    The Two Numbers

    What the report borrowed, and from where

    3.5%
    the discount rate ALTO uses, taken from the Metrolinx manual
    Appendix A, footnote 65
    $22.32
    the value of one hour of a traveller’s time, the same figure for every trip
    justified as following Metrolinx method
    64%
    the top-up the same manual requires on construction costs at this stage of design
    not applied in the report

    The discount rate. A benefit that arrives in 2085 is not worth as much to us today as the same benefit next year. Economists handle this by shrinking future amounts back to a present-day value at a fixed annual percentage — the discount rate. ALTO uses 3.5 per cent a year, applied over a sixty-year period. The rate matters enormously: over sixty years, small changes to it move the headline benefit figure by billions.

    The value of time. Most of the $49.5 billion is not cash. It is hours — time that travellers would otherwise have spent on the road or waiting at an airport. To put a dollar figure on those hours, you have to decide what an hour is worth. ALTO uses $22.32, and applies the same figure to every trip: business or holiday, commuter or tourist. The report tells us its own ridership model did separate business from non-business travel, and that this distinction was set aside in favour of one blended figure.

    Where both come from. The footnote attached to the discount rate cites one document and one only: the Business Case Manual Volume 2: Guidance, published by Metrolinx in August 2021. The single blended value of time is defended on the grounds that it follows Metrolinx method. So a manual written for regional transit projects in the Toronto and Hamilton area is the published authority for how a national intercity railway has been appraised.

    Metrolinx guidance is not binding on a federal Crown corporation, and nothing here suggests otherwise. But a citation carries the terms of the thing cited. If you name a manual as your authority, it is fair to look at what else that manual says on the same page.

    The Manual’s Own Terms

    The numbers come as a set, not a menu

    The 3.5 per cent rate appears in a table of standard parameters. The text introducing that table is direct about their status: any departure from them has to be explicitly agreed during the work, with a clear justification recorded. It is a list of defaults you may leave, provided you say so. Below is how each of those defaults is treated in ALTO’s report.

    What the Metrolinx manual specifiesWhat ALTO’s report does
    Discount rate: 3.5 per cent. The rate at which future benefits are shrunk to present value.3.5 per cent. Adopted exactly as specified, and correctly footnoted to the manual.
    Status:Carried across
    Value of time: one blended figure. A single hourly value across all modes and all trip purposes, rather than separate values for business and leisure travel.One blended figure, $22.32. Adopted, and expressly justified by reference to the manual — in preference to the business and non-business split that ALTO’s own ridership model had already produced.
    Status:Carried across
    Growth cap: stop escalating benefits 30 years out. The manual caps growth in the inputs thirty years after the base year, expressly to reflect the fact that nobody can see that far ahead. User benefits are named as covered by the cap.Applied to two small lines, not the big one. Accident rates are capped after twenty years, and vehicle emission factors run to 2050. No cap is stated on travel-time benefits — which are 78 per cent of the total.
    Status:Applied selectively
    One price year throughout. All values discounted and escalated to a single common year, fixed at the start of the study, so that every figure in the document is in the same money.Two price years in one report. The appraisal and the capital cost are in 2024 dollars; the economy-wide GDP result is in 2019 dollars.
    Status:Not consistent
    Test the value of time at 0.75 per cent real growth. The manual’s base case assumes the value of an hour does not rise in real terms — but pairs that assumption with a required test of what happens if it does.Zero growth assumed; no test run. The assumption was carried across. The test that the manual attaches to the assumption was not.
    Status:Left behind

    One footnote on the money. Adjusting the manual’s 2021 value of time for inflation to 2024 gives roughly $21.40 — within a few per cent of ALTO’s $22.32. We are not claiming ALTO derived its figure that way, and ALTO does not say how it did. The point is simply that the figure sits where you would expect a Metrolinx-derived figure to sit, which makes the omission of the accompanying test harder to explain as an oversight.

    The Missing Tests

    What a project this size is supposed to publish

    The Metrolinx manual scales its requirements to the size of the project. Anything above $500 million is treated as large scale, and a specific list of tests and disclosures becomes mandatory. ALTO’s cost estimate is $60 to $90 billion — roughly a hundred times that threshold. Here is that list, and where each item stands in ALTO’s report.

    Re-run the numbers at a different discount rate

    The manual requires the calculation be repeated at 2.5 per cent so the reader can see how sensitive the answer is to the rate. Not done, and not mentioned. Note the direction here: the required test is at a lower rate, which would make the benefits look larger. Nothing in the manual supports an argument that ALTO’s rate is too generous. What it supports is the narrower point that the manual’s author expects the rate to be tested and the test to be shown.

    Re-run the numbers with a rising value of time

    Required at 0.75 per cent real growth per year. Not done.

    Run the costs and assumptions through a range analysis

    The manual requires costs and modelling assumptions be run thousands of times with the inputs varied, and the result reported as a range with a stated confidence level. Not done.

    Report the odds that the project is worth doing

    The manual asks specifically for the probability that benefits exceed costs. Not reported — the report publishes no benefit-cost ratio at all.

    Publish the standard indicators

    Net present value, benefit-cost ratio, capital utilisation, return on investment, internal rate of return. None published.

    Model low, medium and high growth scenarios

    Required, with the ridership growth rate stated for each. A ridership range is shown; the underlying growth scenarios are not stated.

    This is not a theoretical requirement

    The manual works the method through on a real example: an extension of the Yonge subway line in Toronto, at an early stage of design. A single cost estimate of $5.65 billion becomes a range of $6.16 to $6.84 billion, with the confidence level attached. The reader is shown a central figure, a spread, and how sure anyone is about it.

    That project is roughly one per cent the size of ALTO. On uncertainty, the manual ALTO cites tells its reader more about a subway extension than ALTO’s report tells its reader about a national railway.

    The Missing Lower Number

    The report concedes a range it never publishes

    The two tables carrying the entire $49.5 billion case are both headed with the words upper estimate. Every figure in the narrative is prefixed the same way: up to 24 million riders, up to 9.3 billion hours saved, up to 400 fatalities avoided, up to 39.1 million tonnes of emissions.

    An upper estimate is one end of a range. The other end does not appear anywhere in the document.

    The claim built on top of those figures goes further still. The report states that the benefits hold across a wide range of scenarios, and repeats the point in its conclusion. But demonstrating that a result holds across a range of scenarios is exactly what the missing sensitivity analysis does, and exactly what the cited manual requires be reported at this scale. The scenarios may well have been run. Their results are not shown.

    And the report clearly knows how to show them. Elsewhere in the same document, the ridership forecast comes with multiple scenarios and a published band around it. The economy-wide GDP figure rests on nearly a hundred separate model runs with the assumptions varied. Between a tested input and a tested output sits the largest single number in the report, presented as a single column of point estimates.

    The Optimism Adjustment

    A top-up the manual requires, and the report does not mention

    Early cost estimates for big infrastructure projects are, as a matter of record, too low. Not occasionally — routinely. The Metrolinx manual is explicit about the evidence behind this: in an international sample of 258 rail projects, ninety per cent were undercosted, by an average of forty-five per cent.

    The manual’s response is a mandatory top-up applied to the construction cost when it is compared with benefits, over and above whatever contingency is already in the estimate. The size of the top-up depends on how far the design has progressed. At the earliest stage — nought to ten per cent designed — it is 64 per cent.

    ALTO’s cost estimate is described in its own report as an AACE Class 5 estimate, which is the earliest and least developed class there is. Applied as the manual directs, a cost of $60 to $90 billion would enter the comparison at roughly $98 to $148 billion, before any comparison with benefits is attempted.

    The report applies no such adjustment and does not mention the concept. It is worth noting where this reasoning comes from: the manual grounds the adjustment in the research on transport megaproject cost overruns that this Initiative has drawn on since its first publication. That reasoning is already embedded in the appraisal manual ALTO chose to cite.

    The Central Inversion

    Too early to divide, but not too early to multiply

    The report declines to publish a benefit-cost ratio — benefits divided by costs, the single number a reader would most want. Its stated reason is that the cost estimate is too immature to support one.

    Under the framework ALTO cites, that reasoning runs backwards. The manual sets out what is required at each stage of a project’s life. At the earliest stage, the very stage ALTO is at, the requirement is a single line: conduct sensitivity testing to understand the key drivers and the level of uncertainty in each option.

    Early-stage uncertainty is not an exemption from testing. It is the reason testing is required. The report inverts this: it invokes immaturity on the cost side as grounds for publishing nothing, while publishing single-point figures on the benefit side of the same ledger. The uncertainty is treated as fatal to one number and irrelevant to the other.

    And a business case for this corridor has already done it. In December 2021 the Joint Project Office — VIA Rail and the Canada Infrastructure Bank — published a benefit-cost ratio for High Frequency Rail, the cheaper predecessor to ALTO, at a comparable stage of development: about 0.13, or roughly 0.4 on an expanded basis counting fare revenue and agglomeration as benefits. It published a net present value of minus $21.1 billion and a thirty-year public subsidy of $37.1 to $42.2 billion alongside it. Its economic parameters were drawn from Metrolinx and Ministère des Transports du Québec guidance — the same two sources ALTO cites. Immaturity did not prevent a ratio then. The companion explainer Hours Are Not Dollars sets out those figures in full, including why 0.13 rather than 0.4 is the anchor.

    There is a further tell. In explaining why one set of results is excluded from the welfare account, the report refers to those results as therefore not being included in the benefit-cost ratio — speaking of it as an object that exists, with a settled boundary about what enters it. One page says a meaningful ratio cannot yet be produced. Another treats the ratio as a thing already drawn up. Only one of those can be a complete account.

    Limits of This Analysis

    What this brief does not say

    Stated here rather than left for others to find.

    On the analysis

    The rate is not wrong3.5 per cent is a defensible choice, used by the United Kingdom Treasury and by Metrolinx, and well supported for long-horizon public investment. This brief does not argue that ALTO’s rate is too low or too high.
    Metrolinx does not bind ALTOA provincial agency’s manual has no legal force over a federal Crown corporation. The argument is about the coherence of a citation, not about jurisdiction.
    One choice runs in ALTO’s favourThe 3.5 per cent rate is applied flat across sixty years. The UK Treasury, whose Social Time Preference Rate this figure matches, steps its rate down to 3.0 per cent after year 30. Applying that schedule would have made ALTO’s benefit total larger, not smaller.
    One cited source was not reviewedGuidance from the Ministère des Transports du Québec is cited separately for the value of time. The Initiative has not reviewed it and takes no position on what it requires.

    On the report and its source

    The report does apply conservatism in placesAccident reductions are capped after twenty years, and car emission factors are assumed to improve to 2050, which the report notes limits the emissions benefit. These are the two smallest monetised lines. No equivalent constraint is disclosed for travel time, which is 78 per cent of the total.
    The manual itself is datedMetrolinx said in 2021 that a revised version with updated values would follow in 2022. Five years on, it has not. That is a limitation of the source document, not a fault of ALTO’s — but a reader assessing where a federal appraisal input came from is entitled to know it.
    This is a public report, not a formal submissionA business case submitted to Cabinet in 2029 may well contain material this document does not. The claims examined here are the claims ALTO has chosen to put in public.
    What Would Settle It

    Two questions ALTO can answer without releasing a model

    Both are answerable from work ALTO has already done. Neither requires disclosure of a model, cooperation from staff, or agreement about what the correct discount rate for a national railway ought to be.

    1. Was the calculation ever run at a rate other than 3.5 per cent?

    And if so, what were the results? A negative answer is itself informative — it would mean the required test was never performed. An affirmative answer is the sensitivity table the report does not contain.

    2. Which parts of the cited guidance were applied, and which were departed from?

    The Metrolinx document requires that any variation from its parameters be agreed and clearly justified. The report records no variations at all — while, on the evidence above, departing from several.

    Where Things Stand · August 2026

    Summary ledger

    Measured against the requirements of the manual ALTO names as its authority:

    Carried across
    The 3.5 per cent discount rate, correctly cited to the manual.
    Carried across
    The single blended value of time, expressly justified by reference to the manual.
    Partial
    The thirty-year cap on benefit growth: applied to accident and emissions lines, not stated for travel time, which is 78 per cent of the benefits.
    Partial
    A single price year throughout: the appraisal is in 2024 dollars, the GDP result in 2019 dollars.
    Left behind
    Discount rate sensitivity test at 2.5 per cent.
    Left behind
    Value of time sensitivity test at 0.75 per cent real growth.
    Left behind
    Range analysis of costs and assumptions, reported with a confidence level.
    Left behind
    The probability that benefits exceed costs, and the benefit-cost ratio itself.
    Left behind
    The standard set of performance indicators: net present value, benefit-cost ratio, capital utilisation, return on investment, internal rate of return.
    Left behind
    The optimism-bias top-up on construction costs, 64 per cent at this level of design — not applied and not mentioned.
    Left behind
    The lower end of the range, on figures the report itself labels an upper estimate.

    ALTO names an appraisal manual twice — once for its discount rate, once to justify a single blended value of time — and leaves behind the testing, the ranges, the optimism adjustment and the benefit-cost reporting that the same manual attaches to those figures at this project’s scale. What remains is a column of numbers labelled an upper estimate whose lower estimate is never shown, resting on parameters presented as facts rather than as selections, in a report that declines to divide that column by the cost while describing the benefits as holding across a wide range of scenarios.

    Every document relied on here is public. Nothing in this analysis requires access to ALTO’s models, cooperation from its staff, or a view on what the correct discount rate for a national railway ought to be.

    Download Full Brief
    Two Parameters, None of the Conditions (PDF)
    Full research brief with page references, parameter tables, worked figures and sources
    Download PDF

    If the terms in this brief are unfamiliar — what a discount rate actually does, why a benefit figure is not money, and who ends up paying — the companion explainer Hours Are Not Dollars covers the same ground in plain language, and sets out the 2021 business case figures in full.

    Sources

    Primary documents

    1.
    ALTO, Canada’s Moment: The Economic Opportunity of High-Speed Rail, August 2026, 83 pp. Discount rate, appraisal period and price base in the Appendix A methodology box, sourced at footnote 65 to the Metrolinx Business Case Manual Volume 2; value of time and the single-parameter justification in the same appendix, with Ministère des Transports du Québec guidance at footnote 66. Direct-effects tables headed “upper estimate, $2024 CAD”; benefit-cost ratio discussion at p. 62 and reference to the benefit-cost ratio at p. 80; capital cost and AACE Class 5 at pp. 5 and 65; scenario-robustness claims at pp. 3 and 69.
    2.
    Metrolinx, Business Case Manual Volume 2: Guidance, August 2021, 222 pp. Economic parameters at Table 5.8; sensitivity requirements at Tables 5.1 to 5.3; optimism bias at Tables 5.4 to 5.6; worked range example at Table 5.7; Economic Case lifecycle requirements and key performance indicators; business case principles at pp. 11 and 13; guidance revision cycle at p. 4. metrolinx.com
    3.
    Metrolinx, “Business Cases — Resources,” accessed 21 August 2026. The Business Case Guidance link resolves to the Volume 2 file under an asset version token corresponding to 15 September 2022; no Volume 2 revision has been issued.
    4.
    B. Flyvbjerg, Procedures for Dealing with Optimism Bias in Transport Planning (UK Department for Transport, 2004), cited in the Metrolinx Guidance as the basis for the optimism-bias uplift.
    5.
    Statistics Canada, Table 18-10-0004-01, consumer price index, used for the 2021 to 2024 escalation of the Metrolinx value of time. The comparison is arithmetic and is not an attribution of method.