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Head office overhead calculator. Hudson, Emden and Eichleay, side by side.

Enter the contract sum, the dates and your company figures. See what each formula says your unabsorbed head office overhead is worth over the period of compensable delay, and how far apart the three answers sit.

Hudson formulaEmden formulaEichleay formulaAny currency

The arithmetic

Hudson
tender % x (contract sum / contract period) x delay
Emden
actual % x (contract sum / contract period) x delay
Eichleay
(billings share x overhead) / days performed x delay

Each formula prices the overhead your resources could have earned on other work. None of them proves that the other work existed.

Your contract and delay

Pre-filled with a worked example on a QAR 120 million contract. Replace the figures with your own. Jump to the results

The contract

The original contract sum. Hudson and Emden use it unadjusted.

Contract period: 730 days.

Overrun on these dates: 150 days.

Employer-risk delay from your delay analysis, not the whole overrun.

Hudson

The head office overhead and profit percentage priced in your tender.

Emden

Actual overhead and profit percentage

Negative for a loss year.

Overheads plus profit = 9% of turnover. Use one accounting period for all three figures. Several years of audited accounts carry more weight than one good year.

Eichleay

Billed on this contract over the actual contract period, excluding this claim.

Formula arithmetic on the figures you enter. Not legal advice. Whether head office overhead is recoverable at all turns on your contract, the evidence that other work was lost, and the governing law.

Hudson QAR 1,578,082, Emden QAR 1,775,342, Eichleay QAR 1,202,727

Range across the formulas

QAR 1,202,727toQAR 1,775,342

For 120 days of compensable delay, Eichleay gives the lowest figure and Emden the highest. The formulas disagree by QAR 572,615, and that gap is where the other side will start asking questions.

Hudson

Tender percentage, 8%

QAR 1,578,082
Daily rate
QAR 13,151
Working
8% x (QAR 120,000,000 / 730 days) x 120 days

Not supported by the SCL Protocol (para 2.10): the result depends on how the tender was priced, and the contract sum already contains overhead and profit.

Emden

Actual percentage, 9% from accounts

QAR 1,775,342

Highest of the three

Daily rate
QAR 14,795
Working
9% x (QAR 120,000,000 / 730 days) x 120 days

Preferred to Hudson by the SCL Protocol where a formula has to be used. Includes profit as well as overhead.

Eichleay

12% of billings, QAR 8,820,000 allocated

QAR 1,202,727

Lowest of the three

Daily rate
QAR 10,023
Working
(12% of billings x QAR 73,500,000) / 880 days x 120 days

Overhead only, no profit. From US federal contract practice, where it needs a government-caused delay of uncertain duration that left the contractor on standby and unable to take other work.

Days are counted as the difference between the dates entered. Hudson and Emden spread the contract sum over the original contract period. Eichleay spreads the allocated overhead over the days of actual performance. General guidance only, not legal advice.

How It Works

How do the Hudson, Emden and Eichleay formulas work?

A head office overhead claim answers a narrow question. It measures the contribution to the cost of running the company that your resources failed to earn elsewhere while a delayed project held them. The three formulas in this calculator are three ways of estimating that contribution when it cannot be traced invoice by invoice.

The Hudson formula takes the head office overhead and profit percentage priced in your tender, applies it to the contract sum, spreads the result across the original contract period to give a daily figure, and multiplies that figure by the days of compensable delay. It is quick, and it uses a figure already sitting in your tender. That is also its weakness. The SCL Delay and Disruption Protocol does not support Hudson, because the answer depends on how well the tender was priced and because the contract sum already contains overhead and profit, so the calculation double counts.

The Emden formula keeps the same arithmetic but swaps the tender percentage for the company's actual head office overhead and profit as a share of total turnover, taken from its accounts. Enter the totals and the calculator derives the percentage for you. The Protocol rejects Hudson as dependent on the adequacy of the tender and prefers Emden, whose percentage comes from the accounts rather than a pricing decision.

The Eichleay formula comes from United States federal contract practice and works in three steps. It allocates the company's total head office overhead for the actual contract period to the project in proportion to the project's share of total billings. It divides that allocation by the days of actual performance to give a daily rate, and multiplies the daily rate by the days of compensable delay. It recovers overhead only, never profit. In US federal practice it applies only where a government-caused delay of uncertain duration left the contractor on standby and unable to take on other work.

Why the three answers rarely agree

Not a rounding difference. A difference in what each formula assumes. Hudson inherits whatever margin the estimator chose at tender. Emden reflects the whole company's cost structure in the accounting period you select. Eichleay leaves profit out and spreads its allocation across every day the project actually ran, including the delay itself, which pulls the daily rate down on a project that overran. Where variations make up more than about 10 percent of the final contract value, the Protocol says the Eichleay input needs adjusting, because variations carry their own contribution to overhead and profit. The calculator flags it when contract billings exceed the original contract sum by more than 10 percent of the final value, a proxy for variations. Check the actual variation value before relying on the flag.

The Protocol also suggests cross-checking one formula against another, because a single unusual input can produce an anomalous answer. A wide spread is not something to hide. It shows you which assumption the other side will test first.

What does a tribunal need to see before any formula?

A formula quantifies a loss. It does not prove one. In Walter Lilly & Company Ltd v Mackay [2012] EWHC 1773 (TCC) the court accepted that a formula such as Emden or Hudson is a legitimate way to calculate lost head office overhead and profit, but only once the contractor shows, on the balance of probabilities, that without the delay it would have secured other work producing that return. The contractor in that case succeeded on evidence: directors who reviewed tender opportunities and staff availability every week, a detailed schedule of the opportunities it declined, and a tender success rate it could demonstrate. The court allowed the Emden figure only after giving credit for the overhead and profit already recovered on the works against the tender allowance, so the formula result should be net of overhead and profit already recovered through the contract and its variations.

The Protocol takes the same line. The contractor must show it was unable to take on other available work because of the employer's delay, and formulas are to be used with caution, only where the loss cannot be quantified from records. Tribunals usually require proof that the overhead was actually lost, which means proof that the delay stopped the company taking on other work, and they prefer actual cost evidence wherever it exists. A claim can be valid and unrecoverable. For a contractor, that makes the overhead claim a records exercise that starts long before the claim is drafted: tender registers, minutes recording work turned down for lack of staff, and timesheets showing who was tied up on the delayed site.

From a number to a claim

Use the calculator to see the range before you commit to a method, then choose the formula your evidence can actually support. The reasoning behind that choice is set out in how to calculate prolongation costs with Hudson, Emden and the actual cost approach. Head office overhead is only one head of loss. Site based time-related costs are usually easier to prove, as which preliminaries and time-related overheads you can recover explains, and whether the delay is compensable at all is the first question, covered in what a prolongation claim is and what actually qualifies.

In CALIM's experience across dozens of engagements, the problem is rarely the formula. It is the missing proof that other work was lost. CALIM's delay analysis consultants fix the compensable period first, then build the evidence file that lets an overhead claim survive scrutiny.

The formula prices the delay. The evidence gets it paid.

At a Glance

Hudson vs Emden vs Eichleay

Comparison of the Hudson, Emden and Eichleay head office overhead formulas
FormulaPercentage or rate sourceIncludes profitSpread overSCL Protocol view
HudsonHead office overhead and profit percentage priced in the tenderYesOriginal contract periodNot supported (para 2.10)
EmdenActual head office overhead and profit as a percentage of turnover, from company accountsYesOriginal contract periodPreferred where a formula is used (para 2.11)
EichleayTotal head office overhead for the actual contract period, allocated by share of billingsNo, overhead onlyDays of actual performancePreferred where a formula is used, adjusted if variations exceed about 10 percent of the final value (para 2.11)

Questions Contractors Ask

Head office overheads, answered.

What is the Emden formula?

The Emden formula estimates unabsorbed head office overhead and profit during a compensable delay. It divides the contract sum by the contract period to get a daily turnover figure, applies the contractor's actual head office overhead and profit percentage from its company accounts, and multiplies the result by the days of delay. The percentage is total head office overhead plus profit divided by total turnover. The SCL Delay and Disruption Protocol rejects Hudson as dependent on the adequacy of the tender and prefers Emden, whose percentage comes from the accounts, though it still expects proof that the delay prevented other work.

What is the difference between the Hudson and Emden formulas?

The arithmetic is identical. Both multiply a head office overhead and profit percentage by the contract sum divided by the contract period, then by the period of delay. The difference is the percentage. Hudson uses the figure priced in the tender for this contract. Emden uses the contractor's actual overhead and profit as a share of turnover, taken from its accounts. The SCL Protocol does not support Hudson, because the result depends on how the tender was priced and double counts overhead and profit already inside the contract sum.

How is the Eichleay formula calculated?

In three steps. First, divide the contract billings by the company's total billings for the actual contract period and multiply by total head office overhead for that period, which gives the overhead allocable to the contract. Second, divide that figure by the days of actual performance to get a daily rate. Third, multiply the daily rate by the days of compensable delay. Eichleay comes from US federal contract practice, where it applies only if a government-caused delay of uncertain duration left the contractor on standby and unable to take on other work. It covers overhead only, not profit.

Do you have to prove lost work to claim head office overheads?

In most cases, yes. In Walter Lilly v Mackay the English Technology and Construction Court held that the contractor must show, on the balance of probabilities, that without the delay it would have secured other work producing a return. Only then is a formula a legitimate way to calculate the loss. The SCL Protocol says the same. Useful evidence includes tender registers, a schedule of opportunities declined, management minutes, and proof that key staff were tied up on the delayed project. Where actual costs can be proved from records, tribunals prefer them to any formula.

Which head office overhead formula should a contractor use?

The one your evidence supports, cross-checked against a second. The SCL Protocol prefers Emden and Eichleay to Hudson, and suggests checking one formula's result with another because a single input can produce an anomalous answer. Emden suits a contractor with reliable audited accounts. Eichleay suits a project where billings and overhead for the actual contract period are well recorded. The tender allowance can still be used where both parties agree to it for convenience, which the Protocol permits. Whatever the formula, the claim stands or falls on proof that the overhead was genuinely lost.

This calculator runs the arithmetic of the Hudson, Emden and Eichleay formulas on the figures you enter. It is general information, not legal advice, and no consultant-client relationship arises from its use. Whether head office overhead is recoverable at all depends on your contract, the evidence that other work was lost, and the governing law. Take professional advice before relying on any figure.

A formula prices the loss. Evidence gets it paid.

One conversation is usually enough to see whether your delay is compensable, which overhead method your records can support, and what the claim is realistically worth.