Tag: net present value

Hours are not dollars

Hours Are Not Dollars

Almost none of ALTO’s $49.5 billion is money. It is time — and a saved hour cannot service a loan. Here is what that figure actually is, how it was built, and why it says nothing about who pays for the railway.

ALTO HSR Citizen Research Initiative · Economics Explainer · August 2026 · Companion to the audit It Left the Rules Behind

⚠ Where the Number Sits

In August 2026 ALTO published Canada’s Moment: The Economic Opportunity of High-Speed Rail, reporting $49.5 billion in benefits against a construction cost of $60 to $90 billion. Those benefits are not money in a bank account. They are mostly hours — time that travellers would have spent on the road or at an airport — stretched over sixty years and converted into today’s dollars.1

The tool that does the converting is called a discount rate. ALTO uses 3.5 per cent a year. Change that one number and the headline changes by tens of billions, without a single train or passenger changing.

In One Paragraph

The $49.5 billion is a measure of worth, not of funds. The tool that produces it, a discount rate, answers the question is this worth doing? It does not answer the question who pays, and how? Those are separate ledgers, and ALTO’s report is detailed on the first and thin on the second. This explainer sets out what the rate does, shows the arithmetic openly, and then follows the money to the place the appraisal never goes: the difference between what it costs the government to borrow and what a private partner needs to earn.

One finding runs against the grain and is stated here first. Two of the adjustments ALTO leaves out would have made its benefit figure larger, not smaller. The problem is not that the number is tilted. The problem is that a reader is given one number, no range, and no way to know that any of these choices were made.

Start Here

What a discount rate is, in ordinary words

Ask yourself a simple question. Would you rather have $100 today, or $100 in forty years? Almost everyone takes it today. The money is useful now, the future is uncertain, and by 2066 we will probably all be somewhat better off anyway, so $100 will matter a little less to us then than it does now.

Economists turn that instinct into a percentage. A discount rate shrinks future amounts back to what they are worth to us today, by a fixed amount each year. At 3.5 per cent, a benefit arriving sixty years from now counts for about 13 cents on the dollar. At 8 per cent, the same benefit counts for about one cent.

That is the whole mechanism. It sounds technical and it is arithmetically simple. But it matters enormously for a railway, because of when the money and the benefits arrive.

13¢

what a dollar of benefit in year 60 is worth today at ALTO’s 3.5 per cent

23¢

the same dollar at 2.5 per cent, the rate ALTO’s own cited manual requires be tested

1¢

the same dollar at 8 per cent, the rate identified in 2007 Treasury Board guidance

The timing is what makes this decisive. Construction money is spent early — from 2029 through the early 2040s — so it is barely shrunk at all. The benefits arrive later and keep arriving for sixty years, so they are shrunk heavily. Anything that changes the rate therefore hits the benefit side hard and the cost side hardly at all. A project’s whole case can move from comfortable to marginal without anything physical changing.

The Arithmetic, Shown Openly

How much the answer moves

The table below is the Initiative’s own arithmetic, not a re-run of ALTO’s model. It takes a steady stream of benefits running for sixty years, beginning fifteen years from now, and asks what that stream is worth in today’s dollars at different rates. The last column simply scales ALTO’s published $49.5 billion by the same proportion, to show the size of the swing.

Discount rate used	Value of the stream	Relative to 3.5%	$49.5B scaled
2.5 per cent	21.34	1.43×	$71.0B
3.0 per cent	17.76	1.19×	$59.1B
3.5 per cent — ALTO’s rate	14.89	1.00×	$49.5B
UK declining schedule	15.61	1.05×	$51.9B
5 per cent	9.11	0.61×	$30.3B
7 per cent	5.09	0.34×	$16.9B
8 per cent	3.90	0.26×	$13.0B

Assumptions, stated so the arithmetic can be checked: a level benefit stream of one dollar per year, sixty years of operation beginning in year 16, discounted back to a year-zero base. ALTO’s real benefit stream ramps up rather than running level, so the exact figures would differ; the proportions are what matter here. The scaled column is illustrative and is not ALTO’s number at those rates.

Read the middle rows first. At 8 per cent, the same railway carrying the same passengers saving the same hours produces a benefit figure roughly a quarter the size. At 2.5 per cent it produces one roughly forty per cent larger. Nothing about the trains changed. Only the parameter changed.

This is why appraisal manuals require the calculation to be repeated at more than one rate and the results published as a range. It is not a bureaucratic formality. It is the only way a reader can tell whether a case is robust or whether it depends on a parameter choice.

Where 3.5 Per Cent Comes From

A number with a family tree

ALTO’s report attributes its rate to one source: the Business Case Manual Volume 2: Guidance, published by Metrolinx, the Government of Ontario’s transit agency for the Toronto and Hamilton region.2 That manual sets a social discount rate of 3.5 per cent, alongside an evaluation period of five to sixty years.

The 3.5 per cent figure is not original to Metrolinx. It is the rate used by HM Treasury in the United Kingdom, and the Treasury publishes exactly how it was assembled. Three judgements are added together:

0.5 per cent for simple impatience. People prefer good things sooner. Half a percentage point is the allowance for that.

1.0 per cent for the risk that the future does not arrive as expected. Wars, pandemics, collapses. A benefit promised in 2080 might never materialise, so it is discounted a little further.

2.0 per cent because people in the future will be richer. If incomes rise about 2 per cent a year, our grandchildren will be considerably better off than we are, and an extra dollar will matter less to them than it does to us. This is the largest of the three, and the most contestable.

Those three add to 3.5.3

Notice what the rate is not. It is not a market price, an interest rate, or anything anyone can look up. It is a set of judgements about how much weight to give people who are not yet born — and every one of the three is disputed by serious people. That is not a criticism of the figure. It is the reason a serious appraisal shows what happens when the figure moves.

The detail that cuts in ALTO’s favour

HM Treasury does not apply 3.5 per cent forever. The rate steps down to 3.0 per cent for years 31 to 75, and 2.5 per cent thereafter,3 and the Treasury’s supplementary guidance instructs practitioners in the same terms: the standard 3.5 per cent for years 1 to 30, and 3.0 per cent for years 31 to 75.4 The reason is uncertainty: the further out you look, the less confident anyone can be in the parameters, and the lower the rate should be.

ALTO discounts a sixty-year stream at a flat 3.5 per cent throughout. Applying the stepped-down schedule instead would have made ALTO’s benefit total about five per cent larger, as the fourth row of the table above shows. This is a conservatism in ALTO’s favour, and it should be credited as one. It is recorded here because a reader assessing where a federal appraisal input came from deserves the whole picture, including the parts that do not fit a critical narrative.

The Canadian Comparison

What the federal government uses, and the gap where a manual should be

Canada has approached the same question from the opposite end, and it is worth understanding the difference, because it produces a far higher number.

The British method asks a question about values: how much should we care about the future? The Canadian method asks a question about alternatives: what else could this money have done? If public money invested elsewhere in the economy would have earned, say, 8 per cent, then a project has to clear that bar to be worth funding — otherwise the country was better off doing the other thing. That is what economists mean by the opportunity cost of capital.

Neither question is wrong. They are simply different questions, and the second one produces a much tougher test than the first.

The Treasury Board’s 2007 guidance identified 8 per cent as the appropriate rate, with sensitivity tests at 3 and 10 per cent, on that opportunity-cost basis.5 The current federal Policy on Cost-Benefit Analysis still directs departments to use the opportunity cost of capital as the discount rate, permitting a social rate only in defined cases — including where impacts run fifty years or more — and requiring that even when a social rate is used, results using the opportunity cost of capital must also be reported.6

Two honest qualifications belong here, and neither is small. First, that federal policy governs regulations, not capital projects, so it does not bind ALTO. Second, the current edition of the Treasury Board guide is no longer published on canada.ca and is available only through an internal government wiki page,7 so the Initiative has not been able to verify the figure it now specifies.

And the federal manual for transport projects specifically? Transport Canada’s guide to benefit-cost analysis dates from 1994.8 Thirty-two years later, there is no current, public federal appraisal manual for a project of this kind. That absence is very likely why a national railway is being appraised using a provincial transit agency’s parameters — and it is a finding about the machinery of government rather than about ALTO.

Even the academic case for 3.5 per cent has conditions

The most cited Canadian argument for a 3.5 per cent rate comes from the economists Boardman, Moore and Vining, who reject the 8 per cent approach. So there is a respectable Canadian case for ALTO’s rate. But it is a conditional case, and the conditions are specific.

Condition one: the project runs under fifty years. Beyond that, they recommend a rate that steps down over time, for the same reason the UK Treasury does — nobody can see that far ahead with confidence.

Condition two: the project must not pull money away from private investment. The money for a public project comes from taxes or borrowing, and it would otherwise have been used by someone else. Some of it would have been spent, and some would have been invested — a business expansion, new equipment, a factory. Those two are not equivalent. A dollar diverted from someone’s spending costs the economy that one dollar. A dollar diverted from investment costs more, because that investment would have gone on producing returns for years afterwards.

And if the project does pull money from investment, there is a fix. Rather than argue about the rate all over again, you take the portion of the cost that displaced private investment and mark it up by 26 per cent before putting it in the calculation — because that is roughly what the lost investment was worth to the economy over time. Economists call the 1.26 multiplier a shadow price of capital. It is simply a way of using a generous discount rate honestly, instead of using it to pretend the money was free.5

ALTO’s appraisal period is sixty years, which fails the first condition outright. Whether a $60 to $90 billion draw on Canadian capital displaces private investment is a real question, not a technicality — and the mark-up would apply only to the share that does, not to the whole sum. Neither condition is mentioned in the report.

The pattern is the one the companion audit It Left the Rules Behind describes: a number travels, and the conditions attached to it stay behind.

The Precedent

The last time anyone published these numbers for this corridor

ALTO’s stated reason for publishing no benefit-cost ratio is that the cost estimate is not yet mature enough to support one. It is worth knowing that a predecessor project on the same corridor did publish one, at a comparable stage, and published the funding ledger alongside it.

In December 2021 the Joint Project Office — a body formed by VIA Rail and the Canada Infrastructure Bank — completed a Business Case Update for High Frequency Rail, the slower, cheaper predecessor to ALTO between Toronto and Québec City. It was released through access to information by the Canada Infrastructure Bank in November 2025.16

What the 2021 business case published	Figure
Capital cost, with electrification (2020 prices)	$27.71B
Projected revenue over 30 years (2019 prices)	$33.7B
Operations, maintenance and rehabilitation, 30 years	$32.5B
Net present value over 30 years	−$21.1B
Benefit-cost ratio	~0.13
Expanded benefit-cost ratio	~0.4
Public subsidy over 30 years, by delivery model	$37.1B to $42.2B

Source: Joint Project Office, High Frequency Rail Business Case Update V.002, 10 December 2021. Ratios at Table 14, page 43; capital, revenue, lifecycle and net present value figures in the executive summary, pages 7 and 8; subsidy comparison at Table 4, page 8.

A benefit-cost ratio of 0.13 means about thirteen cents of measured benefit for every dollar of cost. The wider figure of 0.4 is what the same table calls an expanded ratio, and the difference between the two is worth understanding, because it is the larger of the two numbers.

The expansion adds two items. One is agglomeration — the economic gain from businesses being better connected — worth $0.3 to $0.9 billion. The other, worth $5.6 to $7.6 billion, is a resource correction: the fares new passengers would pay, counted as a benefit because they arrive as revenue for the operator. That single item is larger than the journey time savings and all the external benefits put together. The business case itself notes that both are relatively new to Canadian economic appraisal, which is why it reports the ratio with and without them.

The same two sources, five years apart

The 2021 economic case states where its parameters came from: the social discount rate, the value of time and the value of external impacts were taken from a combination of Metrolinx and Ministère des Transports du Québec guidance. Those are the same two sources ALTO cites in 2026.

So the identical parameter lineage, applied to a $27.71 billion version of this corridor, produced a published ratio of 0.13. Five years later, on a project costing two to three times as much, the same two sources are cited and no ratio is published at all.

And it kept the two ledgers apart

The 2021 document also shows how the distinction this page has been drawing is meant to work in practice. Its net present value calculation used a discount rate of 2.5 per cent, sourced explicitly to the ten-year average of the 30-year Government of Canada benchmark bond — a financing rate, taken from what the government actually pays to borrow. Its economic case used the social parameters from Metrolinx and MTQ. Two questions, two rates, both disclosed, in a single document.

Three cautions, stated plainly. High Frequency Rail is not ALTO: different technology, different speed, a $27.71 billion cost rather than $60 to $90 billion, and a thirty-year evaluation rather than sixty. The JPO described its own results as preliminary. And none of these figures transfer to ALTO by arithmetic. What the document establishes is narrower and harder to set aside: a benefit-cost ratio can be produced for a project on this corridor at this stage of development, because one was.

One further point belongs on the record. The identical document was also released under a separate access request, and in that version the whole net present value section, the capital cost figure, the revenue figure and both ratios were blacked out — along with the subsection titles of the Economic Case within the table of contents, and the construction employment figure in the executive summary. No exemption provision is marked against any of it.17 Same document, same date, two releases, opposite outcomes.

Following the Money

Three different rates, and only one of them is in the report

Here is the heart of it. People use the phrase “the discount rate” for three quite different things, and conflating them is how an appraisal result gets mistaken for a financing plan.

1. The appraisal rate — 3.5 per cent

Used to decide whether a project is worth doing. No money moves because of it. It turns hours saved and collisions avoided into a single present-day figure so they can be compared with the cost. Nobody charges it, nobody pays it, and no bank uses it.

2. What it costs the government to borrow

Real money, actually paid. When the federal government borrows for thirty years it has been paying in the region of 3.7 to 3.9 per cent during 2026. Take off inflation, which the Bank of Canada aims to hold at 2 per cent, and the true cost of the money is roughly two per cent a year.9 If the state simply builds the railway and holds it, this is what the borrowing actually costs, and it is lower than the appraisal rate.

3. What a private partner needs to earn

Considerably more. If a pension fund or infrastructure investor builds the railway, it is putting its own money at risk — the risk that construction costs more than planned, or that too few people ride. It requires a return for carrying that risk, and that return is paid out every year for decades. This is the rate that decides what the public actually hands over, and it appears nowhere in ALTO’s economic report.

The gap between the second and the third is the entire public-private question. If the government borrows at 2 per cent and builds the railway itself, that is what the money costs. If a private partner builds it instead and needs 8 per cent, someone has to make up the difference — every year, for as long as the arrangement lasts. That someone is the public.

So a project can pass the 3.5 per cent test comfortably and still require very large annual public payments to get built. The appraisal will go on saying “worth doing.” It will never say who writes the cheque, for how long, or at what return.

Why the $49.5 billion cannot pay for anything

This is the point most easily missed, and it is not a technicality. Nearly all of ALTO’s benefit figure is not cash. It is hours of travel time, collisions that did not happen, tonnes of emissions avoided. These are real and they matter. But a saved hour cannot service a loan, meet a payroll, or renew a worn rail.

The money that actually funds a railway comes from two places only: fares, and government payments. ALTO’s report handles that second ledger in a few pages, supported chiefly by the operating margins of three foreign railways, and it publishes no fare, no revenue figure and no farebox recovery ratio. So the document is expansive about whether the project is worth doing and close to silent about how it would be paid for.

A Canadian Example, Fully Documented

How the Montréal REM is actually funded

The Réseau express métropolitain is a 67-kilometre automated light metro in Greater Montréal, built, owned and operated by CDPQ Infra, a subsidiary of the Québec pension fund manager. It is the clearest Canadian illustration of what the third rate looks like once it becomes money, and its terms are public.10

Who put up the capital

CDPQ Infra $2.95B; the Government of Québec $1.283B; the Government of Canada $1.283B; Hydro-Québec $295M; the regional transit authority $512M. The construction estimate rose from $6.3 billion in 2018 to $7.95 billion by 2023, an increase CDPQ Infra absorbed under its agreement.11

How the money returns

Not through fares. The regional transit authority pays CDPQ Infra 72 cents for every kilometre every passenger travels, indexed annually to the Consumer Price Index. That single rate covers construction, operation and long-term maintenance.12

If ridership beats forecast

The rate steps down. CDPQ Infra has described trips beyond 15 per cent above forecast being paid at roughly 57 cents, and trips beyond 40 per cent above forecast at the user fare itself.13

The two return targets

8 to 9 per cent for CDPQ Infra. 3.7 per cent for the governments. Both were set at the outset and publicly reaffirmed during construction.14

That pair of numbers is the whole point of this section, made concrete. The same railway, the same track, the same passengers — and two participants requiring returns that differ by more than double. The difference is not a rounding error in an appraisal. It is paid out, in cash, on every passenger-kilometre, for as long as the agreement runs.

Why this case and not another. The REM is not an analogy picked at random. CDPQ Infra leads Cadence, the consortium selected in February 2025 as ALTO’s private development partner. AtkinsRéalis — formerly SNC-Lavalin, a member of the group that built the REM and, with Alstom, of the group that supplies and operates its trains — is also a Cadence member. The other Cadence members are SYSTRA Canada, Keolis Canada, SNCF Voyageurs and Air Canada.18 The REM is the lead sponsor’s own model, which CDPQ Infra presents publicly as an innovative approach to delivering public infrastructure. That is what makes it the most informative available guide to how a private partner’s return might be priced here.

An important caution. ALTO is nonetheless not the REM, and this is not a prediction. Canada is to retain permanent ownership of the ALTO network, which was never the REM arrangement; the project is in a co-development phase running to 2029; and no payment mechanism has been disclosed. Cadence is a different group with different members and a different contract. The REM is offered as the one Canadian case where the arithmetic of a private partner’s return has been made public — which is exactly what has not yet happened for a project several times its size.

Notice what a payment mechanism does with risk. Because CDPQ Infra is paid per passenger-kilometre, a shortfall in riders is a shortfall in its own revenue — the investor carries the demand risk. Under a different structure, where the public pays for the railway simply being available, a shortfall in riders changes nothing the partner receives and everything the public pays.

Same railway, same disappointing ridership, opposite consequences. Which of those applies to ALTO has not been published.

Limits of This Explainer

What this does not claim

On the rate

3.5 per cent is not wrongIt is a mainstream, well-supported choice for long-lived public investment. This explainer does not argue that ALTO’s rate is too low.

Two omissions favour ALTOBoth the stepped-down schedule and the sensitivity test its cited manual requires would have produced a larger benefit figure. The omissions do not all run one way.

The arithmetic is illustrativeThe table uses a level benefit stream and a stated start year. It shows the shape of the sensitivity, not a recalculation of ALTO’s result.

The 2021 ratios are not ALTO’sHigh Frequency Rail was a different and cheaper project assessed over thirty years, and its authors called the results preliminary. Those figures are cited as evidence that a ratio can be produced at this stage, not as an estimate of ALTO’s.

On the comparisons

Nothing here binds ALTOMetrolinx guidance, UK Treasury practice and federal regulatory policy carry no legal force over this project. They are offered as points of comparison, one of which ALTO chose to cite itself.

The federal figure is unverifiedThe 8 per cent rate is documented from 2007 guidance through peer-reviewed sources. The current edition of that guide is not publicly posted, and the Initiative does not assert what it now specifies.

We do not say whyWhere the report does not state something — a fare, a payment mechanism, a sensitivity test, a range — this page says so rather than inferring it, and makes no claim about why any figure was or was not published, or about the intentions of anyone who prepared it.

This is a public report, not a business caseA submission to Cabinet in 2029 may contain material this document does not. What is examined here is what has been placed in public.

What Would Settle It

Two questions, answerable without releasing a model

1. Who absorbs it if the passengers do not come?

Not a forecasting question but a contract question. If a partner is paid per passenger, a shortfall reduces its return. If it is paid for availability, a shortfall costs the partner nothing and the public a great deal. Identical ridership, opposite outcomes — and ALTO has published neither the mechanism nor the cost of capital behind it.

2. What fare, and what revenue?

No fare level, average yield or farebox recovery ratio appears in eighty-three pages. Without one, the funding question cannot be examined by anyone outside the project.

Neither requires access to ALTO’s models, cooperation from its staff, or agreement about what the correct discount rate for a national railway ought to be. Both are answerable from work already done.

A third question — whether the calculation was ever run at any rate other than 3.5 per cent — belongs to the companion audit It Left the Rules Behind, which sets out the full list of tests the cited manual requires at this project’s scale and which of them appear in the report.

Sources

Primary documents

ALTO, Canada’s Moment: The Economic Opportunity of High-Speed Rail, August 2026, 83 pp. Discount rate, sixty-year appraisal period and price base in the Appendix A methodology box, sourced at footnote 65 to the Metrolinx manual; capital cost and AACE Class 5 estimate at pp. 5 and 65; direct-benefit tables headed “upper estimate”. Analysed in full in the Initiative’s companion brief Two Parameters, None of the Conditions, summarised at It Left the Rules Behind.

Metrolinx, Business Case Manual Volume 2: Guidance, August 2021, 222 pp. Economic parameters at Table 5.8: social discount rate 3.5 per cent, evaluation period five to sixty years, single blended value of time. Verified as the current edition, 21 August 2026. metrolinx.com

HM Treasury, Review of discounting in the Green Book: Terms of Reference, 16 December 2025. Sets out the derivation of the 3.5 per cent Social Time Preference Rate. The Treasury specifies four parameters — pure time preference, catastrophe risk, the elasticity of marginal utility and the growth rate — the last two of which multiply to the 2.0 per cent component described above as a single judgement. and the declining schedule of 3.0 per cent for years 31 to 75 and 2.5 per cent thereafter. gov.uk

HM Treasury, Green Book supplementary guidance: discounting, updated 5 February 2026. Instructs practitioners to use 3.5 per cent for years 1 to 30 and 3.0 per cent for years 31 to 75. gov.uk (PDF)

A. E. Boardman and M. A. Moore, “The Social Discount Rate for Canada Based on Future Growth in Consumption,” Canadian Public Policy, vol. 36 no. 3 (2010), pp. 325 onward. Records the Treasury Board Secretariat’s 2007 interim recommendation of an 8 per cent social discount rate with sensitivity rates of 3 and 10 per cent on a weighted social opportunity cost of capital basis; argues instead for 3.5 per cent, conditional on a horizon under fifty years and no crowding out of private investment, with a shadow price of capital of 1.26 applied to investment flows, and a declining schedule beyond fifty years. Canadian Public Policy

Treasury Board of Canada Secretariat, Policy on Cost-Benefit Analysis, in force since 1 September 2018. Requires departments to use the opportunity cost of capital specified in the TBS guide, with a social discount rate permitted in defined cases including impacts of fifty years or more, and requires opportunity-cost results to be reported in any event. canada.ca

Treasury Board of Canada Secretariat, “Requirements for developing, managing and reviewing regulations,” canada.ca, page updated 26 November 2025, accessed 21 August 2026. States that the most current version of Canada’s Cost-Benefit Analysis Guide for Regulatory Proposals is available exclusively on the Cabinet Directive on Regulation GCwiki page. The 2022 edition remains catalogued in Government of Canada Publications as an archived document. canada.ca

Transport Canada, Economic Evaluation Branch, Guide to Benefit-Cost Analysis in Transport Canada, Ottawa, 1994. Catalogued in the Transport Research International Documentation database. TRID

Bank of Canada, selected benchmark bond yields, accessed August 2026; Bank of Canada policy interest rate held at 2.25 per cent through mid-2026 against a 2 per cent inflation target. Long-bond yields move daily and should be checked against the source rather than quoted from this page. bankofcanada.ca

10.

Réseau express métropolitain, “Information about the agreement with the ARTM and its rate mechanisms.” Sets out the 72-cent per passenger-kilometre invoice to the regional transit authority, the reduction once ridership projections are exceeded, and the turnkey scope covering construction, operation and long-term maintenance. rem.info

11.

Capital structure as reported on award of the construction contracts: CDPQ Infra $2.95B, Government of Québec $1.283B, Government of Canada $1.283B, Hydro-Québec $295M, ARTM $512M, against a construction cost of $6.3B. The estimate was revised to $7.95B in September 2023, with CDPQ Infra absorbing the increase under its agreement with the Québec government. International Railway Journal

12.

Gouvernement du Québec, ARTM and CDPQ Infra, “Release of the management and implementation agreement and of the integration agreement for the Réseau express métropolitain,” 23 April 2018. Confirms the $0.72 per passenger-km base cost and annual indexation to Canada’s Consumer Price Index, and the cap limiting additional municipal costs to roughly $45 to $60 million a year in then-current dollars. quebec.ca

13.

CDPQ Infra, “7 myths about the REM de l’Est,” February 2022. Describes the ridership relief mechanism: the rate falls by about 20 per cent, to roughly $0.57, for trips above 15 per cent over forecast, and equals the user fare for trips above 40 per cent over forecast. Published in the context of a later project; the mechanism described is the REM’s. cdpqinfra.com

14.

Réseau express métropolitain, semi-annual project update, 3 June 2021. Reaffirms the 72-cent rate set in the 2018 agreement and states the performance targets: 8 to 9 per cent for CDPQ Infra and 3.7 per cent for the government partners. rem.info

15.

Discounting arithmetic in this explainer computed by the Initiative on the stated assumptions: a level annual benefit stream, sixty years of operation beginning in year 16, discounted to a year-zero base; the declining-schedule row applies 3.5 per cent to years 1 to 30, 3.0 per cent to years 31 to 75, per source 3.

16.

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 breakdown and 30-year revenue at p. 7; benefit-cost ratio, net present value and the Table 4 subsidy comparison at p. 8; economic appraisal parameters sourced to Metrolinx and MTQ guidance at p. 40; incremental capex and opex at Table 9; other impacts at Table 12; impact results and both ratios at Table 14, p. 43; net present value assumptions, including the 2.5 per cent discount rate sourced to the ten-year average 30-year Government of Canada benchmark bond, at Figure 38, p. 85.

17.

The same document released as Annexe A to access request 22-2207 (148 pp., stamped Demande d’accès à l’information #22-2207 AI(D)). In that version, section 9.7 Net Present Value Analysis survives as a heading at p. 84 with pp. 84–86 otherwise blank; section 9.8 Financial Structuring at p. 87 is withheld in full; the capital cost and 30-year revenue sentences are truncated mid-clause at p. 21, leaving the grammar intact around the removed figures; and the subsection headings of section 7 Economic Case are withheld within the table of contents, together with the title of section 8 and all of its subsections, which appear as bare dot leaders against pp. 40–43 and 44–63. The construction employment sentence at p. 21 is severed in the same way: “an estimated ___ annual equivalent jobs could be created.” That figure — 71,000 to 96,000 annual equivalent — is disclosed in full in the Canada Infrastructure Bank release at note 16. No exemption provisions are marked against any of the severed passages. Both versions held by the Initiative.

18.

Cadence consortium membership and CDPQ Infra’s leadership role: Cadence, “About us,” and CDPQ Infra, “Alto high-speed rail,” both accessed August 2026; consortium announced as preferred private development partner 19 February 2025, co-development agreement signed March 2025. AtkinsRéalis (formerly SNC-Lavalin) was a member of NouvLR, which held the REM engineering, procurement and construction contract, and of the group now operating as Pulsar with Alstom under the rolling stock, systems, operations and maintenance contract. cadence.info

August 21, 2026

NPV

Citizen Research Initiative · Financial Analysis · NPV Note 1

NPV and BCR Projections for ALTO

A deterministic net-present-value analysis over 2029–2080 across three capital-cost scenarios, three operating regimes, and four discount rates — thirty-six combinations, every one of them strongly negative.

ALTO HSR Citizen Research Initiative · NPV Note 1 · Net Present Value Analysis 2029–2080 · Published May 2026 · updated June 2026

⚠ Headline Finding

Across 36 combinations of capital-cost scenario, operating regime, and discount rate, ALTO produces a financial NPV between −$50 billion and −$246 billion in real 2029 CAD. At the Treasury Board central 8% rate and the welfare-efficient Regime B posture, NPV is −$56B at $75B capex, −$102B at $143B, and −$184B at $264B.

The benefit-cost ratio across the 9-cell capex×regime grid runs from 0.030 to 0.107 — every cell at least nine times below the 1.0 break-even threshold. Capital cost is the dominant driver; operating regime is second-order; the discount rate changes magnitudes but not the direction.

Executive Summary

This report evaluates financial and combined NPV over a 52-year horizon, integrating the engineering operating-cost build of the Cost-of-Running-the-Train work with the modal-shift subsidy frontier — a coupled analysis in which ridership, fare, operating cost, and operating subsidy are determined jointly along the corridor’s achievable frontier.

Three capital-cost scenarios bracket the plausible range: a low case at ALTO’s published $75B (~P2.5 of the reference class), a central case at $143B (the reference-class mean under Flyvbjerg’s overrun distribution), and a high case at $264B (the P97.5). Three operating regimes from the subsidy frontier set the achievable operating points: premium (Regime C, 6.1M pax), parity-with-air (Regime B, 8.2M, the revenue peak), and deep-discount (Regime A, 11.2M, near the modal-shift ceiling).

Cost-recovery break-even from fares alone sits at 117 trains/day, or 12.5 million annual passengers at the reference yield — above the modal-shift ceiling. All three regimes operate below it and require ongoing federal operating subsidy. The PV of that subsidy stream is structurally independent of capital cost ($4.6B at Regime C to $7.6B at Regime A at 8%). And the 24-million-by-2055 figure in ALTO’s public materials sits outside every operating point on the frontier and is not modellable under any defensible parameter combination.

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NPV Note 1 — NPV and BCR Projections for ALTO (PDF)

The full report with all six figures and nine tables: the three capital scenarios, the three operating regimes, the four discount-rate NPV tables, the operating-subsidy stream, the economic overlay, the benefit-cost grid, and the methodology and parameter appendices

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1 · Context

What the analysis evaluates

This report presents an NPV analysis of ALTO over 2029–2080, in real 2029 Canadian dollars from the project-sponsor perspective, with a parallel economic overlay for passenger and external benefits. The objective is a defensible quantitative basis for evaluating the project against the standard Treasury Board cost-benefit framework.

The framework integrates two pieces of prior work. Annual operating cost is built from the lifecycle methodology of the operating-cost note — infrastructure maintenance, train operations, and fleet recapitalisation. Ridership, fare, and operating subsidy are determined jointly by the three operating regimes of the subsidy-frontier note, which establish the achievable points on the corridor’s modal-shift frontier. Capital cost is treated through reference-class forecasting, with three scenarios spanning the empirical distribution of cost outturns on comparable HSR megaprojects. Operations are assumed to commence in 2040 after an eleven-year construction period; cash flows include capex during construction, operating cost and ramped fare revenue, three lump-sum renewals at operating years 20/30/40, and a terminal residual at 2080.

−$102B

Financial NPV, base case ($143B capex × Regime B × 8%)

0.030–0.107

Benefit-cost ratio across the 9-cell grid — all ≥9× below break-even

~94%

Share of the negative present value driven by capital cost alone

2 · Capital Cost

Three scenarios from the reference class

Capital cost is the largest single quantity in the analysis and the dominant source of NPV uncertainty. Three scenarios span the plausible range, calibrated by reference-class forecasting on the international HSR cost database (log-normal, mu_log = 4.963, sigma_log = 0.312).

Low — $75B

ALTO’s published figure (the centre of the $60–90B Fast Forward range). Sits at ~P2.5 of the reference class — a lower-tail estimate consistent with megaproject optimism bias. Predates the HFR→HSR scope expansion and carries no published contingency.

Central — $143B

The reference-class mean. Applying Flyvbjerg’s 44.7% average rail overrun to the baseline, plus ALTO’s engineering-complexity premium (composite 73–81), gives the modal outcome — the appropriate base case for procurement decisions.

High — $264B

The P97.5 — exceeded by ~1 HSR project in 40. Not a theoretical bound: HS2 Phase 1 (~+250%), California HSR (~+200%), and HSL-Zuid (228%) all approached it. The corridor’s geology and the Canadian P3 record make it a realistic case.

The three scenarios are not equally probable: under the calibrated distribution, the proponent’s figure has roughly a 2.5% chance of being achieved or undercut, the central scenario is the modal outcome, and the high scenario reflects upper-tail risk. Treating $75B as the planning case would require ALTO to be delivered with cost discipline materially better than every comparable international HSR megaproject — a claim for which no evidence has been adduced.

3 · Operating Regimes

Three points on the achievable frontier

The three operating regimes derive from the subsidy frontier. Each is an internally consistent point on the corridor’s achievable modal-shift frontier, with ridership, fare, revenue, and subsidy following from a single fare posture. No operating point produces high ridership at low subsidy.

**Table 2.** Operating regime parameters (central 2055 demographic anchor). Operating subsidy = max(0, operating cost − fare revenue). Mature values shown; in operating years 2040–2047 ridership and revenue ramp from 50% to 100% of mature values.
Parameter	Regime C — premium	Regime B — parity	Regime A — discount
Rail-to-air fare ratio	1.4	1.0	0.55
Average fare ($/trip)	$207	$157	$96
Mature ridership (M pax/yr)	6.1	8.2	11.2
Modal share captured	22%	30%	40%
Annual fare revenue ($M)	$1,260	$1,290	$1,080
Annual operating cost ($M)	$1,928	$2,116	$2,385
Annual operating subsidy ($M)	$668	$826	$1,305

Regime B is the welfare-efficient point under standard cost-benefit assumptions — simultaneously the revenue-maximising point and the per-rider welfare-efficient point. A profit-maximising private operator and a welfare-maximising public authority applying marginal analysis would converge on it, even if they would disagree on whether to operate the corridor at all. Regime A, at 11.2M, approaches the modal-shift ceiling of ~12M; pushing beyond would require corridor-external policy (highway tolls, fuel pricing, aviation limits). The 24-million figure sits above the ceiling — reaching it would require doubling modal share to ~80%, far below cost recovery, and is not modellable as a financial NPV.

4 · Operating Cost & Break-even

Why fares can’t cover cost

Annual operating cost follows the engineering build: $1,381M fixed (infrastructure maintenance $980M + fixed operating $221M + fleet recapitalisation annuity $180M) plus ~$26 per train-km variable, equivalent to $89.7M per million annual passengers at the 450-seat, 65% load-factor convention. Crucially, this cost is driven by service intensity, not by what the infrastructure cost to build — a $264B corridor running 80 trains/day costs essentially the same to operate as a $75B one.

Cost recovery from fares alone, at the reference yield of $0.20/passenger-km, requires approximately 117 trains per day — 12.5 million annual passengers. That threshold sits above the modal-shift ceiling of ~12M. All three regimes operate below it and therefore require ongoing federal operating subsidy.

Cost-recovery break-even chart: operating cost line crossing the reference-yield revenue line at 117 trains per day, with the three regime points and the modal-shift revenue curve never reaching cost recovery — **Figure 1.** Cost-recovery break-even and the three operating regimes. The navy cost line is the engineering build; the dashed terracotta line is reference-yield revenue, crossing cost at 117 trains/day (12.5M pax). The solid terracotta curve is the modal-shift revenue line, Laffer-peaked at ~$1.29B near Regime B and sitting below the reference line because the framework requires sub-reference fares to capture modal share. The vertical gap between each regime’s cost square and revenue diamond is the annual operating subsidy. **The modal-shift revenue curve never crosses the cost curve at any achievable ridership** — cost recovery from fares alone is unreachable, even at the deep-discount Regime A.

5 · Financial NPV

Strongly negative across all 36 cells

Financial NPV is strongly negative across all 36 combinations of capex scenario, operating regime, and discount rate. The base case — central capex × Regime B × 8% — is −$102.3B, of which the capital component accounts for ~94%.

Cumulative discounted cash flow 2029-2080 under three capex scenarios, driven deeply negative during construction and flattening through operations — **Figure 2.** Cumulative discounted cash flow, 2029–2080, sponsor perspective at the Regime B base case, 8% TBS Central. Construction 2029–2039 drives the cumulative line deeply negative under all three capex scenarios; operating subsidy outflows from 2040 prevent recovery, and the lines flatten toward their terminal NPV. The small dips mark the renewals at 2059/2069/2079; the terminal residual at 2080 gives a slight upward inflection. Final values are −$56B, −$102B, and −$184B at Low, Central, and High capex.

**Table 3.** Financial NPV at 8% TBS Central ($B real 2029). Figures in parentheses are negative. The grid is monotonically more negative moving down (capex rising) and weakly more negative moving across (regime premium→discount), reflecting that higher ridership produces both higher operating cost and higher operating subsidy.
Capital cost scenario	Regime C	Regime B	Regime A
Low — $75B	($55.4)	($56.2)	($58.5)
Central — $143B	($101.5)	($102.3)	($104.6)
High — $264B	($183.6)	($184.4)	($186.6)

Present value decomposition by capex scenario: PV of capital cost dominating the negative side at every level, with operating cost identical across scenarios — **Figure 3.** Present value decomposition by capex scenario, Regime B, 8% TBS Central. PV of capital cost (navy) dominates the negative side at every level, growing from $51B at Low to $178B at High. PV of operating cost (terracotta) is identical across scenarios at $11.2B — structurally decoupled from construction outturn. On the benefit side, PV of fare revenue is $5.8B and capex-independent; the economic overlay is $0.76B. **Benefits cover only ~6% of total costs at the central scenario.**

The pattern holds across every discount rate. At 5% (HM Treasury Green Book) the base case is −$121.2B; at 3% (long-horizon Treasury), −$136.8B; at 10% (private-capital opportunity cost), −$92.4B. Lower rates produce more negative figures, because the cash-flow profile is dominated by front-loaded capex and operating-subsidy outflows rather than long-dated revenue. The full sensitivity tables are below.

**Tables 4–6.** Financial NPV at 5%, 3%, and 10% ($B real 2029), all three with the Central×Regime B base case marked. At no defensible discount rate does NPV approach break-even.
Discount rate & capex	Regime C	Regime B	Regime A
5% — Low $75B	($66.8)	($68.4)	($72.9)
5% — Central $143B	($119.6)	($121.2)	($125.6)
5% — High $264B	($213.4)	($215.0)	($219.5)
3% — Low $75B	($77.1)	($79.8)	($87.2)
3% — Central $143B	($134.1)	($136.8)	($144.2)
3% — High $264B	($235.6)	($238.2)	($245.7)
10% — Low $75B	($49.7)	($50.2)	($51.7)
10% — Central $143B	($91.9)	($92.4)	($93.9)
10% — High $264B	($167.0)	($167.5)	($169.0)

NPV sensitivity tornado: capital cost producing a $130 billion swing, dwarfing every other parameter — **Figure 4.** NPV sensitivity tornado — parameter swings from the base case (Central capex × Regime B × 8%, NPV −$102.3B). Gold bars improve NPV, terracotta bars worsen it. **Capital cost dwarfs every other input, with a $130B swing across the Low–High range.** Discount rate is next. All operating-side parameters combined — operating cost, fare yield, renewals, terminal value, yield erosion, and regime choice — produce swings of at most a few billion each, more than an order of magnitude below the capex effect.

6 · Operating Subsidy

Decoupled from capital cost

The PV of the operating-subsidy stream is structurally independent of capital cost under the engineering build — operating cost is driven by service intensity, not construction outturn. The same subsidy values apply at all three capex scenarios.

**Table 7.** PV of operating-subsidy stream by discount rate and regime ($B real 2029, 2040–2080). Subsidy is capex-independent — identical at all three capex scenarios. Corresponding mature annual subsidies: $668M (C), $826M (B), $1,305M (A).
Discount rate	Regime C	Regime B	Regime A
3% (long-horizon)	$14.2	$16.9	$24.3
5% (Green Book)	$8.7	$10.3	$14.7
8% (TBS Central)	$4.6	$5.4	$7.6
10% (private capital)	$3.1	$3.7	$5.2

The corridor would impose an ongoing federal operating contribution of roughly $700 million to $1.3 billion per year over four decades, on top of the federal share of capital service. Adding capital service (federal share 50%, 6% blended cost of capital, 40-year amortisation) of ~$2.5B/yr at Low, $4.8B at Central, and $8.8B at High, the full annual federal cost at Regime B ranges from ~$3.3B to ~$9.6B per year — a full-cost-per-rider of $405 to $1,171, five to fourteen times the federal value-of-time benefit per rider.

Stacked annual federal cost commitment by capex scenario, combining capital service and operating subsidy, ranging from 3.3 to 9.6 billion per year — **Figure 5.** Annual federal cost commitment by capex scenario, Regime B mature operations — capital service (federal share 50%, 6% blended cost of capital, 40-year amortisation) stacked with the $0.83B/yr operating subsidy. Total federal cash commitment ranges from **$3.32B/yr at the proponent capex to $9.60B/yr at the upper reference-class capex**. Per rider at 8.2M annual passengers, $405 to $1,171 — five to fourteen times the federal value-of-time benefit per rider. Real 2029 dollars.

7 · Economic Overlay & BCR

An order of magnitude below break-even

The economic overlay adds five benefit categories (passenger time savings, modal-shift GHG, accident reduction, local externalities) and one cost (embodied construction carbon). It is small relative to the financial cash flow: even at Regime A, the largest overlay of $1.94B is ~1/50th of the central financial NPV. It does not move the directional finding.

**Table 8.** Economic overlay components at 8% TBS ($B PV). The embodied-carbon debit of $2.48B is regime-invariant — it depends on corridor characteristics, not operating posture. Regime C’s total is slightly negative because passenger benefits at 6.1M pax don’t offset it.
Component	Regime C	Regime B	Regime A
Passenger time savings	$1.28	$1.72	$2.35
Modal-shift GHG savings	$0.10	$0.14	$0.19
Embodied carbon (debit)	($2.48)	($2.48)	($2.48)
Accident reduction	$0.88	$1.18	$1.61
Local externalities	$0.15	$0.20	$0.27
Total economic overlay	($0.07)	$0.76	$1.94

**Table 9.** Benefit-cost ratio at 8% TBS Central. All values an order of magnitude below the 1.0 break-even threshold. Corner-to-corner range 0.030 (High×C) to 0.107 (Low×A). The capex axis explains >80% of the variation; the regime axis <20%.
Capital cost scenario	Regime C	Regime B	Regime A
Low — $75B	0.092	0.106	0.107
Central — $143B	0.053	0.061	0.062
High — $264B	0.030	0.035	0.036

The most favourable cell anywhere — Low capex × Regime A — requires conjoining ALTO’s own optimistic capex with the deep-discount posture that maximises ridership; neither half is publicly committed to. Under the central reference-class capex, the highest achievable BCR is 0.062, about one-sixteenth of break-even. For context, the Ontario provincial HSR study of 2016 rejected a comparable 300 km/h scope at a reported BCR of 0.70 — this analysis finds the ALTO option materially worse than the level at which Ontario rejected comparable scope a decade earlier.

8 · The 24-Million Problem

A target outside the frontier

The 24-million-by-2055 figure in ALTO’s public materials sits outside the achievable frontier. The modal-shift ceiling is ~12 million annual passengers — at Regime A, capturing 40% of the addressable market. Reaching 24 million would require doubling modal share to ~80%, which means fares well below cost recovery plus structural changes to the corridor’s competitive position against car and air that go beyond any operating posture.

ALTO public ridership target versus the modal-shift achievable frontier: the three regimes between 6 and 11 million, and the 24-million target nearly twice beyond the modal-shift ceiling — **Figure 6.** ALTO’s public ridership target vs. the modal-shift achievable frontier. The three regimes (C 6.1M, B 8.2M, A 11.2M) occupy the frontier between ~5 and 12 million; the cost-recovery break-even at 12.5M sits just outside the ceiling. **ALTO’s 24-million target sits ~11.5 million passengers — nearly twofold — beyond the ceiling.** The gap is not bridgeable under the modal-shift framework: it would require ~80% modal share against air and road, for which there is no precedent in the international HSR record on a comparable corridor.

The 24-million figure is therefore not a defensible operating point and is not modellable as a financial NPV under the regime framework. Public communication that pairs the 24-million target with operating-cost or subsidy figures drawn from other points on the frontier is internally inconsistent — the corridor cannot simultaneously achieve 24-million ridership and the operating subsidy of any regime on the frontier.

9 · Conclusions

The viability question is a capex question

Negative across every combination

Financial NPV ranges from −$55B to −$187B at 8%; the central case is −$102B. BCR runs 0.030–0.107 — every cell at least nine times below break-even. The probability of positive NPV under any defensible scenario is negligible.

Capital cost dominates

Low→High capex swings NPV by ~$130B at 8%; Regime C→A swings it by only ~$3B. The choice of operating regime is second-order once capital is committed. The first-order question is whether to commit the capital.

Operating subsidy is decoupled

Operating cost is driven by service intensity, not construction outturn — a corridor running 80 trains/day costs the same to operate whether built at $75B or $264B. The subsidy stream can be planned independently of the capital outturn.

An HPR review is warranted

The single largest lever for project economics is cost containment, and the reference class gives no basis for assuming ALTO beats it. An independent review of the High Performance Rail alternative — a lower-capex configuration delivering comparable user benefits over the same corridor — is warranted before any corridor-selection decision.

Proceeding with ALTO at any defensible parameter combination would impose a significant net cost on Canadian public finances over the analysis horizon, even after accounting for non-financial passenger and environmental benefits. The High Performance Rail framework — 200 km/h electrified passenger rail along the Highway 401 corridor, using existing rail corridor rather than greenfield HSR construction — would not attract the same reference-class capital premium, and an independent review should compare the two on the same NPV framework, with HPR producing materially less negative NPV and materially higher BCR across every defensible parameter combination.

The procurement and cost-control decision is by far the most consequential single decision affecting the corridor’s financial outcome. The choice of operating regime is substantive for transport policy but does not move the financial NPV by more than a few per cent. The viability question is a capex question.

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NPV Note 1 — NPV and BCR Projections for ALTO (PDF)

Reference document with all six figures, nine tables, the full methodology, and the parameter and reference appendices

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Methodology

Framework and parameters

The analysis is conducted from the project-sponsor perspective in real 2029 CAD over 2029–2080 (period 0 = 2029), counting direct cash flows: capex, operating cost, renewals, fare revenue, and terminal residual. Capex is allocated across 2029–2039 on an eleven-year S-curve (3% in 2029, peaking at 13% in 2034–35, tapering to 6% in 2039). Three renewals are modelled — signalling at operating year 20 (4% of capex), rolling stock at year 30 (12%), combined track-and-signalling at year 40 (8%) — and a terminal residual at 2080 of 40% of capex. Demand ramps from 50% of mature ridership in 2040 to 100% by 2047; real fare yield erodes 0.5%/yr.

Operating cost follows the engineering build: $1,381M fixed plus $26/train-km variable (equivalently $89.7M per million annual passengers at 450 seats × 65% load factor × 1,000 km), calibrated against the California HSR 2024 Business Plan O&M model, SNCF Réseau and SNCF Voyageurs reports, ADIF AV accounts, and the UIC LICB series. Capital cost scenarios ($75B / $143B / $264B) come from Flyvbjerg reference-class forecasting on the international HSR cost database (log-normal, mu_log = 4.963, sigma_log = 0.312) with corridor-specific complexity adjustments. The economic overlay uses 1.75 h saved per trip at $25/h, modal-shift GHG of 113 kt/yr at the Regime B baseline valued at $250/t, embodied construction carbon of 14.69 Mt, accident reduction at $30/pax, and local externalities at $5/pax; network and agglomeration effects are excluded. The analysis is deterministic across the 36-cell grid; a probabilistic overlay would refine the central tendency but not change the directional finding.

Sources

Principal sources

Treasury Board of Canada Secretariat. Canada’s Cost-Benefit Analysis Guide for Regulatory Proposals (2022) and Policy on Cost-Benefit Analysis — social opportunity cost of capital as the central 8% discount rate.

HM Treasury (UK). The Green Book: Central Government Guidance on Appraisal and Evaluation (2022) — the 5% reference for long-lived infrastructure. — and Boardman, Moore & Vining, “The Social Discount Rate for Canada,” Canadian Public Policy 36(3), 2010.

Flyvbjerg, B., Holm, M.K. & Buhl, S.L. — reference-class forecasting and the rail-project cost-overrun record (mean ~44.7% overrun): JAPA 68(3), 2002; JAPA 71(2), 2005; and Megaprojects and Risk (Cambridge, 2003).

California High-Speed Rail Authority. 2024 Business Plan: Operations and Maintenance Cost Model. — UIC Lasting Infrastructure Cost Benchmarking (LICB); ADIF AV Management Report 2022; SNCF Réseau and SNCF Voyageurs Rapport financier annuel 2024.

Transport Canada. High-Speed Rail Initiative briefing materials, Section 08 (2025–2026). — ALTO Fast Forward (Cadence consortium, March 2025); ALTO Pre-Development Agreement (signed 19 March 2025).

European Court of Auditors. A European high-speed rail network: not a reality but an ineffective patchwork. Special Report 19/2018.

ALTO HSR Citizen Research Initiative companion notes: the operating-cost engineering build and the subsidy frontier on which this NPV analysis is built; and the ridership envelope and modal-shift synthesis that establish the achievable frontier.

May 24, 2026