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Calculation

Tiered rebate scales: whole rate or marginal rate?

Whole (retroactive) or marginal (per-slice) rates: two ways to apply a rebate scale, their threshold effects, and how to choose the right one for each supplier.

8 min readUpdated

With a whole rate, the rate of the tier reached applies to all of the turnover; with a marginal rate, each slice of turnover earns the rate of its own tier. For the same scale, a whole rate produces a higher year-end rebate and creates threshold effects; a marginal rate is more progressive and more predictable. The choice is made scale by scale, depending on what the agreement is meant to reward.

Two ways to apply the same scale

Take the following base scale, used in all our examples:

Example scale
TierTurnover bandRate
1€0 to €500,0000%
2€500,000 to €1,000,0001%
3€1,000,000 to €2,000,0002%
4from €2,000,0003%
Tiered rebate scaleTiered scale drawn as a staircase. With turnover of €1,250,000, the tier reached gives a rate of 2%. €750k more turnover reaches the next tier.Turnover →Rate0%01%€500k2%€1m3%€2mTurnover €1.25mDistance to next tier: €750k
The scale as a staircase. The tier reached is dark blue, the €1.25M turnover green.

Whole rate (also called a retroactive, retrospective or “first euro” rate): find the tier the turnover reaches, then apply its rate to all of the turnover. Marginal rate (or incremental, per-slice rate): cut the turnover at the scale’s bounds and apply each slice’s own rate, as with income tax brackets.

Rebate = turnover × rate of the tier reached

Whole rate: a single rate, that of the tier reached.

Rebate = Σ (slice amount × slice rate)

Marginal rate: the sum of the slices, each at its rate.

Worked example at €1,250,000 of turnover

Whole rate or marginal rate: same scale, same turnover

Turnover of €1,250,000 · €0+ 0% · €500k+ 1% · €1m+ 2% · €2m+ 3%

Whole rate · the reached tier’s rate applies to all turnover

Rebate €25,000

€1.25m × 2%

Marginal rate · each slice at its own tier’s rate

Rebate €10,000 (effective rate 0.8%)

0%
1%
2%
  • €500k × 0% = €0
  • €500k × 1% = €5,000
  • €250k × 2% = €5,000

With a whole rate, turnover of €1,250,000 reaches the 2% tier: the rebate is €1,250,000 × 2% = €25,000. With a marginal rate, the first €500,000 earn nothing, the next €500,000 earn 1% or €5,000, and the €250,000 above €1,000,000 earn 2% or €5,000: the rebate is €10,000, an effective rate of 0.8%.

The table below compares both modes at several turnover levels:

Rebate by mode, same scale
Annual turnoverWhole rateMarginal rateEffective marginal rate
€400,000€0€00%
€750,000€7,500€2,5000.33%
€1,000,000€20,000€5,0000.5%
€1,250,000€25,000€10,0000.8%
€2,000,000€60,000€25,0001.25%
€2,500,000€75,000€40,0001.6%

The gap between the two modes is anything but marginal: with the same scale, the whole rate costs the supplier from nearly twice to four times as much as the marginal rate in this example. Comparing two agreements without knowing their mode is meaningless.

The threshold effect of a whole rate

A whole rate has a property worth understanding before signing: the rebate jumps when turnover crosses a bound. A few extra euros of turnover can move the entire volume to the higher rate.

Example

€10,000 more turnover, €10,100 more rebate

Crossing the €1,000,000 bound
Annual turnoverWhole rateMarginal rate
€990,0001% → €9,900€4,900
€1,000,0002% → €20,000€5,000
Difference+€10,100+€100

With a whole rate, going from €990,000 to €1,000,000 earns the distributor €10,100 more rebate, more than the extra €10,000 of turnover. With a marginal rate, the same €10,000 earn €100, at their slice’s rate. The same happens at €2,000,000: from €1,990,000 (€39,800) to €2,000,000 (€60,000), the rebate rises by €20,200.

This has three practical consequences:

  • Strong incentives near the bounds. That is the intent: to push the distributor to concentrate its purchases and cross a tier. But the incentive is nil just after a bound and at its peak just before one.
  • Sensitivity to declaration errors. A figure declared within 2% of a bound deserves a careful check: a small error either way changes the amount a lot. Checks on turnover declarations should take this into account.
  • Unstable accruals. While the year’s turnover sits close to a bound, the rebate estimate can double or halve from one quarter to the next.

Pros and cons of each mode

Whole rate vs marginal rate
Whole rateMarginal rate
PrincipleThe reached rate applies to all turnoverEach slice at its own rate
Amount for the same scaleHigherLower
Threshold effectStrong, at every boundNone: the rebate grows without jumps
IncentiveConcentrated just below the boundsContinuous, on every extra euro
ReadabilityVery easy to explainNeeds a calculation table
In-year accrualUnstable near the boundsSmooth and predictable
Dispute riskHigh around the boundsLow

How to choose for each supplier

A few guidelines, bearing in mind that the mode is chosen scale by scale:

  • A whole rate suits a clear, binary objective: reaching a specific volume, consolidating purchases that used to be spread across suppliers, rewarding a wider listing. It works well with few, widely spaced tiers.
  • A marginal rate suits stable relationships, high volumes and scales with many tiers: every euro counts, no tier creates year-end tension, and finance accrues without surprises.
  • Same budget, different rates. Switching modes without raising or lowering the rates changes the amount dramatically. Always simulate the old and the new scale on the year’s actual turnover before proposing.
  • Growth bonuses have their own rule. In marginal mode they are computed on slices of the increase, not on the year’s turnover, which gives much smaller amounts. See how growth rebates work.

Recalibrating a scale when changing mode

Suppose you want to move the example scale to a marginal rate without changing the rebate of a supplier at €1,250,000 of turnover, who earns €25,000 today. The upper slices need higher rates, for instance: 0% up to €500,000, 2% from €500,000 to €1,000,000, 6% above. The calculation does give 0 + €10,000 + €15,000 = €25,000. But the new scale only matches the old one at that point:

Current whole-rate scale and recalibrated marginal scale
Annual turnoverCurrent, whole rateRecalibrated, marginal rate
€750,000€7,500€5,000
€1,000,000€20,000€10,000
€1,250,000€25,000€25,000
€2,000,000€60,000€70,000

The recalibrated scale pays less below the reference turnover and more above it: it rewards every euro of growth instead of rewarding the crossing of a bound. It is often a good compromise for a supplier with stable volume, provided you present it with this table. Always simulate several turnover levels, not just this year’s.

Questions to ask before choosing

  1. Which behaviour do we want to reward: crossing a specific volume, or every extra euro?
  2. Where does the supplier sit relative to the bounds, and where is it likely to be next year?
  3. How many tiers does the scale have? The more there are, the more natural a marginal rate becomes.
  4. How will finance accrue this rebate during the year?
  5. Will the supplier and the purchaser read the calculation the same way from the agreement?

How Palier handles both modes

In Palier the rate mode is a setting of the agreement, chosen separately for the base scale, the family scales and the growth bonus. Tiers are entered with half-open bounds (lower bound included, upper bound excluded), each scale’s amount is rounded once, to the euro or the cent depending on the account setting, and the simulator shows the amount, the effective rate and the distance to the next tier side by side for any turnover. Explore all the features or test your own scale in the free rebate calculator.

Key takeaways

Frequently asked questions

What is the difference between a whole rate and a marginal rate?

With a whole rate, the rate of the tier reached applies to all turnover. With a marginal rate, each slice of turnover earns the rate of its own tier, and the rebate is the sum of the slices.

Which mode gives the higher rebate?

For the same scale, a whole rate always gives an amount greater than or equal to a marginal rate. With a 0%, 1%, 2%, 3% scale and €1,250,000 of turnover, the rebate is €25,000 with a whole rate against €10,000 with a marginal rate.

What is a threshold effect in a rebate scale?

With a whole rate, crossing a bound moves all turnover to the higher rate, so the rebate jumps: in our example, going from €990,000 to €1,000,000 of turnover takes the rebate from €9,900 to €20,000.

Can one agreement mix both modes?

Yes. The mode can be chosen separately for the base scale, the family scales and the growth bonus, depending on what each scale is meant to reward.

How do you negotiate a rate in marginal mode?

The simplest practice is to negotiate a single rate that replaces the computed effective rate and applies to the whole base. This convention should be written into the agreement.

How do you switch from a whole rate to a marginal rate without losing rebate?

Raise the rates on the upper slices. For example, a marginal scale at 0%, 2% and then 6% above €1,000,000 gives the same €25,000 as a 2% whole rate at €1,250,000 of turnover, but pays less below and more above. Simulate several turnover levels.

See Palier on your own tier scales

30 minutes through declarations, validation, calculation and negotiation of your rebates. Send us a scale and we will set it up for the demo.

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