A traveler in Chicago sees EUR/USD at 1.0847 and budgets USD 433.88 for €400 in notes. The bank quotes more. A public wholesale reference and the price to procure and deliver a specific bundle of bills are different products, and the buyback side matters if half the notes come home.
Start with branch cash order and redemption quote. Look for denominations, quantity, pickup terms and any delivery fee. The calculation you want is the net cost of euro notes used on the trip. A common reason for a discrepancy is buyback spread on the notes brought home. The first worked figures below are illustrative. The historical section identifies the actual observations used and lets you change one assumption at a time.
Calculate the cost of notes you actually spend
Suppose a provider offers €400 at USD 1.1236 per euro with a USD 7.50 delivery charge. Initial cash outlay is USD 456.94. Against a hypothetical same-time reference of 1.0847 the euro principal would be USD 433.88, a gap of USD 23.06 including delivery. If you spend all €400 your effective cost is about USD 1.14235 per euro. A different order size would dilute that fixed charge differently.
Now assume €95 comes home and qualifies for repurchase at 1.0462 dollars per euro. It brings USD 99.39 after rounding with no additional fee, leaving about USD 357.55 net outlay for €305 actually spent. If €12 consists of coins the bank declines to repurchase, keep those coins as remaining inventory or separately count them as unusable for this trip. Treating them both as a loss and as an asset overstates the trip cost.
Get a quote for the actual denominations
Ask whether small orders are dispatched as a mix of denominations, whether a specific pickup branch has the notes and when the quoted price is fixed. Banks can quote different prices for notes, wires and card transactions. An online converter page can show a reference price or an actual order price. Read the page label and confirm the total before assuming it can be booked.
Separate exchange cost from the reason to hold cash. A rural destination, an arrival outside banking hours or a merchant that accepts only cash can make some physical notes useful even when a card quote is cheaper. Price the amount needed for these constraints separately from discretionary cash. That decision compares like benefits and limits the amount subject to a second spread.
When carrying a reserve changes the comparison
List the transactions that require cash and those that can be made by card. If €180 of expected spending can only be paid in notes, a 3% spread on €180 is a different expense from a 3% spread on a speculative €1,000 order. An exchange counter’s larger-order rate can improve while the traveler’s total cost rises because unused notes later cross the spread again.
A practical quotation request names the currency, amount, denominations, pickup or delivery date and eligibility to return unused bills. A branch may accept bank notes while declining coins. Some foreign notes can be withdrawn or replaced between trips. Count possible returns at the documented terms and verify whether a minimum transaction charge applies before using an implied buyback rate in the budget.
How to check the figures yourself
Calculate the gross order debit and the potential proceeds of selling leftover notes separately. The buying and selling rates are viewed from the bank’s side on many screens. Ask for the actual dollars you pay and the actual dollars it would pay you for the same notes.
Consider a traveller who needs small denominations for a taxi. A lower rate for a bundle of large notes may be inconvenient even if it wins on price. If coins cannot be sold back under the bank’s terms, exclude them from expected redemption proceeds. Treat money set aside for a later trip as remaining inventory.
Historical cases and a reproducible dollar comparison
To see what changes the dollar decision, take one clearly defined exposure: €735 cash order. The historical column follows EUR/USD, using daily Federal Reserve exchange-rate observations distributed through FRED as DEXUSEU. The exercise uses 96 complete or selected calendar months from 2017-01 through 2024-12. The fixed research window runs from January 2017 through December 2024. Rates are publicly observed. Retail fees, contract terms and decision rules in the examples are assumptions.
Multiply €735 by the reference and an assumed 1.032 bank markup, then add $8.50 shipping. The flat fee stays fixed across dates. The result measures the first dollar debit. It excludes the proceeds of redeeming any notes after the trip.
The modeled output is measured in US dollars. Its sign and units are essential when you work backward from a chart. Write the initial reference, the final reference, their dates and the modeled result in separate columns. Calculate with unrounded inputs, then round for display. A dollar-cent display may conceal small changes in the reference, especially where the model floors an outcome at zero. An order with free branch collection would shift every observation down by the shipping charge. The historical variability in dollar cost would be unchanged if quantity and rate terms stayed identical.
Across these months the exchange quote rose 45 times, fell 51 times and was unchanged 0 times. The median absolute endpoint change was 1.45%. The 25th and 75th percentiles of signed endpoint returns, using the sorted observation at the floor of the fractional rank on a zero-based scale, were -1.40% and 1.50%. These are descriptive sample figures. A frequency of rising quotes is neither a rate of profitable trades nor the chance of a favorable outcome on a future payment.
| Selection | Month | Opening reference | Last reference | Change | Modeled final amount |
|---|---|---|---|---|---|
| The largest rise | 2020-07 | 1.12370 | 1.18220 | 5.21% | 905.22 US dollars |
| The largest decline | 2022-04 | 1.10930 | 1.05370 | -5.01% | 807.75 US dollars |
| The quietest finish | 2019-01 | 1.14560 | 1.14540 | -0.02% | 877.31 US dollars |
| The widest daily range | 2020-03 | 1.10010 | 1.10160 | 0.14% | 844.09 US dollars |
| The busiest path | 2023-03 | 1.06020 | 1.08720 | 2.55% | 833.16 US dollars |
| A month near the middle | 2023-01 | 1.06980 | 1.08580 | 1.50% | 832.10 US dollars |
| A sharp single step | 2023-12 | 1.09080 | 1.10620 | 1.41% | 847.57 US dollars |
| A split-date budget | 2022-11 | 0.98850 | 1.03230 | 4.43% | 791.52 US dollars |
The largest rise | 2020-07
Start with the largest signed monthly rise in this sample. At the last observation of 2020-06, the quote was 1.12370. At 2020-07-31 it was 1.18220, a signed change of 5.21%. Applying the exposure rule to the earlier price gives 860.85 US dollars. Applying it to the later price gives 905.22 US dollars. The resulting difference is 44.37 US dollars. The quote and the modeled amount need not move in the same direction. Read the numerator and denominator of the actual contract before interpreting a rising candle as a higher bill.
For a plausible contemporaneous alternative, use the first observation of the new month, 1.12590 on 2020-07-01, as the budget anchor. The modeled change to the same ending date becomes 42.70 US dollars. You have altered only the starting timestamp. That small adjustment matters when the prior month ended before a weekend or holiday. A report that chooses the better anchor afterward mixes performance evaluation with hindsight. Use the timestamp of the actual invoice, forecast or mandate if one exists.
Price the notes that actually get spent
Suppose a US bank sells €410 at 1.15853 plus USD 9.75 delivery. The initial debit is USD 484.75. The traveller brings home €75 in eligible notes. At a hypothetical buyback of 1.14201, the bank returns USD 85.65. The net expense for €335 of actual spending is USD 399.10. Divide these two amounts to get 1.19134 dollars per euro spent.
Compare that with ordering only the euros eventually used at the original price. With the same delivery fee the smaller order would have cost USD 397.86. The difference isolates the consequence of buying and reselling the surplus in this scenario. Real trips may justify carrying a reserve. If the bank declines worn notes or the traveller keeps the balance for later, change the ending inventory assumption instead of recording a fictional buyback.
The largest decline | 2022-04
The steepest fall among the remaining months went from 1.10930 to 1.05370. The cross rate expressed in reverse would instead move from 0.90147 to 0.94904. Its signed percentage change is 5.28%, whereas the original quote changed by -5.01%. Reversing a percentage sign is only an approximation. Arithmetic returns in reciprocal currencies have different denominators. Use full-precision quotes when translating a dollar budget in either direction.
In the working example the unchanged exposure generated a modeled 807.75 US dollars at the end, against an original 849.93 US dollars. At the arithmetic midpoint of the two observed rates the modeled result would be 828.84 US dollars. By comparison the mean of the two modeled endpoint amounts is 828.84 US dollars. A linear conversion can make these coincide; a reciprocal or an option-like floor can separate them. This is a practical unit test for a budget spreadsheet built by averaging rates before conversion.
The quietest finish | 2019-01
A quiet monthly finish concealed a sequence of 20 observations. The first budget mark and last mark differed by only 0.02% in absolute quote terms. Between them, the lowest sampled exchange rate was 1.13220 on 2019-01-24 and the highest was 1.15240 on 2019-01-09. Their ordering is observable at the daily reference frequency. It says nothing about whether a stop or limit was touched first inside an individual trading day.
Including the original budget mark, the lowest and highest modeled amounts were 867.30 US dollars and 882.62 US dollars. A payment falling due inside this interval would use the terms available on its own date. Picking the cheapest date after seeing the month grants an option the original decision maker may never have had. Ask whether the underlying agreement allowed early settlement, whether the counterparty would accept it, and what financing or fees would accompany changing the date. The end-to-end change alone leaves out all three questions.
The widest daily range | 2020-03
For the widest remaining sample range, compare the recorded low of 1.06820 with the high of 1.14200. That spread is 6.71% of the previous month-end reference. If the exposure were valued separately at those two observations, the modeled amounts would be 818.75 US dollars and 874.73 US dollars. A full intraday high-low range could be larger than this sampled range. Treat these as independent reference valuations, not executable bid and offer quotes sitting on a dealer screen at the same instant.
Now place an administrative review on the middle observation, 2020-03-16. At 1.11390 the modeled amount was 853.42 US dollars. The remaining change to the final observation was -9.33 US dollars. This separates currency exposure before and after the person responsible could act. It is especially useful when a headline about the full month sounds alarming but the invoice was approved or the policy decision released much later. Use an actual approval timestamp for a real case.
The busiest path | 2023-03
This month has the greatest remaining sum of absolute observation-to-observation log changes: 13.65 percentage points. Its net endpoint change in ordinary percentage terms was 2.55%. Offsetting moves can make the first number large while leaving the second small. Absolute log movement is a path statistic. It includes both directions and must never be booked as the return someone earned by holding the exposure. Collecting every move would require knowing each reversal and being able to execute it after costs.
The annualized sample standard deviation calculated from the 23 log changes was 11.45%, using 252 observations per trading year. The mean level across this month’s daily exchange marks was 1.07113, whereas its median was 1.07220. Valuing the exposure at those two central rates gives 820.98 US dollars and 821.79 US dollars. The mean answers a question about evenly weighted observations and the median is the middle observation or average middle pair. Neither is necessarily the benchmark named in a specific agreement.
A month near the middle | 2023-01
Extreme outcomes attract attention. This case was chosen for being close to the median absolute monthly move among the remaining candidates, with an absolute change of 1.50%. Its 20 daily marks give an average modeled value of 825.95 US dollars. Valuing the same exposure only at the last mark produces 832.10 US dollars. The final observation therefore differs from the typical daily valuation measured by that average by a signed 6.15 US dollars. The difference can go either way; the average has no privileged status for a one-date settlement.
Suppose a report allowed one person to choose a monthly average and another to use the last observation. They could disagree by that amount while applying identical formulas and the same published data. Settle the disagreement by identifying the decision the figure supports. A month of evenly spread expenses calls for transaction weights or a stated approximation. A single invoice calls for its conversion date. A policy announcement needs a timed quote. The right measurement rule follows from the economic event and should be fixed before examining the answer.
Price the notes that actually get spent
Suppose a US bank sells €3,650 at 1.10296 plus USD 9.75 delivery. The initial debit is USD 4,035.57. The traveller brings home €655 in eligible notes. At a hypothetical buyback of 1.04888, the bank returns USD 687.02. The net expense for €2,995 of actual spending is USD 3,348.55. Divide these two amounts to get 1.11805 dollars per euro spent.
Compare that with ordering only the euros eventually used at the original price. With the same delivery fee the smaller order would have cost USD 3,313.13. The difference isolates the consequence of buying and reselling the surplus in this scenario. Real trips may justify carrying a reserve. If the bank declines worn notes or the traveller keeps the balance for later, change the ending inventory assumption instead of recording a fictional buyback.
A sharp single step | 2023-12
The largest remaining single-step move was from 1.07930 on 2023-12-13 to 1.09970 on 2023-12-14. In ordinary percentage terms that is 1.89%. Against the exposure rule, this step changes the modeled amount by 15.47 US dollars. Because the observations can be separated by nonbusiness days, describe this as an observation-to-observation change. The file cannot reveal which hour accounted for it or whether liquidity was available at either published level.
To check a claim about that step, identify the calendar of releases and local holidays for both currencies, then match each event with its precise published time. Look for an independent price series that actually traded in the proposed interval. A gap between daily reference marks invites a hypothesis; following the sequence of executable quotes is how you could test it. Changing an amount solely because of the two marks is an accounting exercise. Attributing the difference to a particular trader, institution or economic release needs additional evidence.
A split-date budget | 2022-11
Take the average modeled valuation on the first five available dates, 757.87 US dollars, and on the last five available dates, 794.80 US dollars. Their difference is 36.92 US dollars. This case has the largest remaining absolute gap by that definition. A plan fixed in advance to value half the exposure against each group would give a weighted amount of 776.33 US dollars if the exposure and its charges can be divided proportionately. The result is a comparison of timing policies. It does not reveal an optimal execution date.
A fixed charge can break that proportional assumption if two actual transactions each incur the full charge. An indivisible futures contract or option can prevent splitting the quantity at all. An announcement time cannot be averaged across ten dates. Before applying the exercise, identify the specific constraint: buyback spread on the notes brought home. Then identify which of the two windows an actual mandate would allow. Where the timing choice is unavailable, read the two amounts as a sensitivity range instead of an executable plan.
What an advertised zero commission can still cost
At a hypothetical 1.1100 selling rate, €600 costs $666 before any fee. A zero-commission counter quoting 1.1320 costs $679.20 for the same notes. The first seller could charge up to $13.20 in separate fees before its all-in price overtakes the second seller. This dollar threshold is appropriate for the actual size of the order. Halve the number of notes and the threshold also halves if the quoted rates stay the same.
Check whether either quote depends on delivery, account relationship, branch stock or a larger minimum purchase. Preserve the units. A quote in euros per dollar reverses the usual direction of a dollars-per-euro comparison. The reciprocal of a dealer’s ask corresponds to the bid when you reverse the quotation. An exchange counter printing both directions may show a wider gap than the traveller expects even though there is no explicit commission. Request the exact cash order first, then the price of redeeming it as a separate transaction.
How to identify a usable EUR/USD setup on a chart
Open a five-minute EUR/USD replay and hide everything to the right of your intended decision. This is a hypothetical long case, constructed to show how buyback spread on the notes brought home fits into an execution record. Use New York local time for the chart, retaining the actual offset for the date. For a restricted or offshore currency, this drawing describes a price sequence, not the availability of a US retail contract. An economic reference period, a release time and a bar timestamp belong in separate fields.
In the first diagram the reference low is 1.08312. The candle that trades below it reaches 1.08266 before price returns into the range. To describe that move as a sweep in ICT terminology, mark the existing level first. If the level only becomes obvious after the reversal, save the observation as a retrospective pattern. An increase in volume or a financial headline cannot reveal whose orders traded there.
The displaced leg reaches beyond 1.08429. Read bars five, six and seven as a sequence. A gap between the outer wicks brackets the interval from 1.08393 to 1.08421. It is a chart definition of an imbalance. Price could fill that interval, pass straight through it or never revisit it. Only the first return that satisfies a rule written in advance can provide a candidate entry for this particular exercise.
How to trade the idea on demo and define failure
For the rehearsal, a buy at 1.08406 follows a return into the marked interval. If the order fails to fill, record an unfilled setup and retain the original timestamp. Moving the order toward the next favorable candle after that candle forms changes the test. Keep the macro or account question separate: The independent document check concerns buyback spread on the notes brought home. A convincing answer about that issue cannot make a missed entry executable.
The protective exit is 1.08239, beyond the sweep, and the planned target is 1.08824. For this long idea the favorable direction in the pair is higher. A live position can experience partial fills, a spread jump or a gap past the stop. For this drawing only we assume all levels execute exactly as stated. The second chart displays one favorable sequence so that the accounting can be checked. It supplies no evidence about how often such a sequence occurs.
Set an expiry for the entry and cancel the study if the invalidation trades before entry or if the spread makes the gross plan infeasible. If a coarse chart touches stop and target within one bar, lower-frequency OHLC cannot settle the order of events. Use properly timestamped executable quotes if available. Otherwise keep a separate ambiguous sample, and state that rule before counting wins. For this rehearsal the underlying document remains the source for the net cost of euro notes used on the trip.
Worked example in a US dollar account
| Ticket field | Rehearsal value |
|---|---|
| Instrument | EUR/USD hypothetical price exercise |
| Direction and size | long | 10,000 base units |
| Entry / stop / target | 1.08406 / 1.08239 / 1.08824 |
| Gross risk / reward | USD 16.70 / USD 41.80 |
| Assumed round-trip charge | USD 1.60 |
Calculate the distance before calculating the money. The entry-to-stop distance is |1.08406 minus 1.08239| = 0.00167, or 16.7 pips. The target distance is |1.08824 minus 1.08406| = 0.00418, or 41.8 pips. Keeping absolute distances here avoids giving a short setup a negative risk amount. The sign of the actual result belongs on the fill record after closing.
At 10,000 base units, the distance to the stop represents 16.70 USD and the distance to the target represents 41.80 USD. The quote currency and the account currency are both USD, so no additional conversion is needed. Gross reward divided by gross risk is USD 41.80 / USD 16.70 = 2.50. Written as risk:reward this is 1:2.50.
Assume a round-trip cost of USD 1.60 on either completed outcome. We use executable entry and exit prices, so a spread already inside those prices must not be charged again. The simplified net reward is USD 41.80 minus USD 1.60 = USD 40.20. Net planned loss is USD 16.70 plus USD 1.60 = USD 18.30. Net R:R is 1:2.20 because USD 40.20 / USD 18.30 = 2.20. Financing, slippage and tax are excluded from this short rehearsal.
Check the losing branch with the same care as the winning one. If the exit slips by one additional pip against you, the quote-currency impact on this size is 1.00 USD before any conversion. A plan denominated in dollars should reserve for an adverse fill or skip a setup that cannot fit the intended budget. Keep the original quote and the executed price alongside the size and currency of the exposure.
To annotate the rehearsal, mark the existing swing first, then identify displacement and the interval between the outer candle wicks. For definitions and session context, see the school’s lessons on fair value gaps, order blocks, the London session, market structure shifts, and the Judas swing.
Sources and calculation notes
Bank of America foreign exchange rate FAQ. Bank of America cash exchange FAQ.
Historical series and original records. DEXUSEU observations and units. The calculations use observations available when checked on November 14, 2026. Subsequent revisions can change retrospective comparisons.
Frequently asked questions
Why does the bank pay less to buy my euros back?
It quotes separate purchase and sale prices and may include costs or margins. Compare both sides at one time to isolate the spread.
Are euro coins worth their face value at a US bank?
A coin retains spending value where accepted, but a particular US provider may not exchange it. Verify eligibility for notes and coins.
Should I compare a cash quote with yesterday’s closing price?
A contemporaneous reference gives a cleaner markup estimate. A prior close includes subsequent market movement.
How do I compare pickup with delivery?
Use the same euro amount and add the actual delivery fee, pickup conditions and any relevant costs to obtain the usable notes.
Can an unused note’s dollar value change?
Yes. Until exchanged it is foreign-currency inventory. Document a benchmark date separately from a real buyback quote.
To check an exchange quote from another angle, see inverse currency quotes, broker quote differences, forex chart reading, and the trading journal.
