Physical Return Route Value & Break-Even Yield Calculator

Define the decision before entering money

This local deterministic calculator asks whether a physical-return route adds value relative to refund-without-return when the customer receives the same refund. It is a scenario model, not a historical accounting report or a decision about customer rights. The original sale and original product cost are common to both routes and cancel. The physical-return scenario assumes every scoped item is received; failed collections, partial completion and different customer treatment need an expanded model.

Use one currency and one valuation horizon. Enter whole item units, not a mixture of parcels and items. Allocate multi-item parcel costs explicitly. Money amounts are net of recoverable taxes under an internally reviewed convention; the tool does not calculate tax, duties or currency conversion. Include applicable nonrecoverable route charges in the correct cost bucket without duplication.

Seven inputs with explicit meanings

N is the number of item decisions. p is the assumed recovered yield, entered as a percentage from 0 to 100. R is the net future disposition value of a recovered item after its downstream selling, refurbishment and fulfilment costs. S is net salvage from an unrecovered item, or negative disposal cost. R must be nonnegative and at least S. These two states are an intentional simplification, not a universal returns taxonomy.

L is inbound logistics per item. H is intake and inspection incurred for every received item. F is extra setup cost incurred only for this route. Do not deduct a selling fee again in H when R already includes it. All numeric inputs are required. Units must be integers; numeric magnitudes are limited to one billion as an implementation safeguard, not a quality guarantee. Only S may be negative.

Formula and break-even states

Expected disposition value V = pR + (1 − p)S. Variable incremental value M = V − L − H. Total incremental value D = NM − F. When N > 0, per-item incremental value is D/N. This is expected planning value; fractional recovered counts are allowed outputs even though the input item count is whole.

For R > S and N > 0, the tie yield is p* = (L + H + F/N − S)/(R − S). A hurdle at or below 0 means every permitted yield covers the costs; above 100% it is unreachable. A hurdle of exactly 100% means only perfect recovery ties. If R = S, yield has no economic effect: either all yields cover cost or none do. With N = 0, no per-item or yield result is defined; the total still shows −F.

Synthetic EUR example you can reproduce

Enter 100 units, 60% yield, R = 30, S = −2, L = 6, H = 4 and F = 200. Expected value is 17.20, variable value 7.20, total value 520 and value per item 5.20. Expected recovered units are 60. Break-even yield is 43.75%. At precisely that yield the routes tie under the stated assumptions; at 40% total value is −120.

These numbers are not benchmarks, client results or confidence intervals. Re-run the model with a justified lower yield, lower net value and higher logistics cost. Keep the assumptions in the exported JSON so another reviewer can reproduce the scenario. Changing an input clears the old result; reset restores the synthetic example.

Interpretation without overclaiming

A positive result means the supplied incremental values cover the supplied costs. It does not establish company profit, cash availability, resale timing, causal impact or customer lifetime value. If the value estimate depends on a sale after the review horizon, report that dependency rather than claiming realised cash. If inventory is not yet sold, use a documented expected net value and label it provisional.

The calculator excludes different refund amounts, partial collection, abuse deterrence, support costs not entered, policy-induced conversion changes and long-term customer effects. It does not infer a recovery yield from a small sample or provide uncertainty intervals. Apply the companion framework to evidence quality and customer constraints before making an operational recommendation.

Sources and evidence boundary

Retrieved 28 September 2026. Shopify's 23 September shipping and duty analytics update motivates reviewing route-cost inputs after reporting changes; it does not validate this model. Stripe's refund documentation distinguishes refund states, including pending and failed. A refund record is not warehouse disposition evidence. No provider endorses this original synthesis, and no current provider prices or legal requirements are assumed.