EUR peg 655.957 XAF, held fixed
1 cell = XAF 1,000,000
1 % of the baseline, illustrative
645.150 XAF per USD
XAF
+3.00 % on 100,000,000
Sweep the pointer across the stage, or drag. Scenario, not a forecast.
GFT instruments / Currency exposure
The illustrative XAF 100 million basket becomes XAF 103 million when USD strengthens by 10%. Trace the currency mix, hold the euro peg fixed, and test your own import budget.
An instrument for the decision / fixed peg, variable cross-rate
Calculated basket / XAF
XAF
versus baseline ()
The dollar leg adds XAF 3,000,000. The euro and local legs remain unchanged under the fixed-peg assumption. Allow for the larger cash requirement in this basket.
EUR peg 655.957, riveted
51,150.90 USD at 645.150
Schematic / 100 cells = baseline basket
One cell is 1 % of the baseline basket; colour names the invoice currency, not the supplier's country. The dollar fringe grows or voids with the move. Values carry the accounting identity.
Outline: baselineSolid: stressedHatched: the move
EUR
60,979.61 EUR held fixed
USD
51,150.90 USD held fixed, repriced at 645.150
XAF
30,000,000 XAF held fixed, no conversion
USD: 51,150.90 USD held fixed, repriced at 645.150, XAF 33,000,000 (+3,000,000 on the baseline), 32.04 % of the stressed total.
40,000,000 + 33,000,000 + 30,000,000 = 103,000,000 XAF
The formula
C′ = C × e + C × u × r′ / r + C × x
Hold invoice quantities fixed. EUR costs use 655.957 XAF per EUR (R32; BEAC). USD costs use the entered baseline rate multiplied by the USD strengthening factor, or divided by the EUR strengthening factor. Sum EUR, USD and local legs to reconcile the stressed XAF budget.
Displayed cost amounts round independently to at most two decimal places. The CSV retains calculation precision. Method source: R32, programme-annex reference; BEAC FAQ, opened 30 October 2026 ↗. A planning aid. Not investment, legal or tax advice. Verify inputs and boundaries before an operational decision.
Decision memory / A against B
Save a valid scenario as A, then change the inputs to create B. The comparison is a snapshot for this page. A shared link carries both scenarios; a CSV records them together.
At 100 the outline cloth lies on the solid one, so only the difference sticks out.
A: unstressed baseline, placeholder until you save
B: current scenario, solid
B minus A
| Input | A | B | Change |
|---|---|---|---|
| Baseline basket, XAF | 100,000,000 | 100,000,000 | none |
| Euro, dollar, local shares, % | 40 / 30 / 30 | 40 / 30 / 30 | none |
| Baseline dollar rate, XAF per USD | 586.5 | 586.5 | none |
| Currency move | USD 0.0 % | USD +10.0 % | +10.0 points |
| Basket after the move, XAF | 100,000,000 | 103,000,000 | +3,000,000 |
| Change from A | +3.00 % |
Hover or focus a row to read A against B here.
The calculation is inspectable / six steps
C = XAF 100,000,000
e 40u 30x 30
× 655.957 fixed riveted
Shares are cost shares after conversion into XAF, not item counts.
no conversion
100,000,000 XAF
51,150.90 USD
655.957 XAF per EUR
r′ = 645.150 XAF per USD
+3.00 %
Read the direction before the sign
40,000,000 + 33,000,000 + 30,000,000 = 103,000,000
÷ 1.10The other direction: dollar cells voided
C = baseline XAF baskete, u, x = currency shares as fractionsr = baseline XAF per USD; q = move as a fraction
EUR invoice = C × e / 655.957USD invoice = C × u / r
EUR leg = C × e, unchangedLocal leg = C × x, unchanged
USD strengthens: r′ = r × (1 + q)EUR strengthens: r′ = r / (1 + q)
C′ = C × e + C × u × r′ / r + C × xΔC = C′ − C; Δ% = ΔC / C × 100Reconciliation: e + u + x = 1
Step 1 / Quantity
Start with a basket of imported inputs, machinery or operating purchases. Enter its total cost in CFA franc (XAF) at the baseline date, then allocate that cost across the currencies on the invoices. A machine quoted in euros belongs in the euro leg even if its manufacturer is elsewhere.
Step 2 / Currency
The instrument reconstructs the foreign-currency invoice amounts from those shares. Each invoice is a fixed quantity: it does not change when the exchange rate moves.
Step 3 / Peg
The euro leg uses the fixed parity of 655.957 XAF per euro, recorded in R32 and confirmed on the BEAC FAQ opened on 30 October 2026. The local leg remains in XAF. Both legs stay where they are.
Step 4 / Dollar
The model then changes only the conversion of the dollar leg. This isolates direct translation exposure while keeping the purchasing decision constant.
Step 5 / Reconcile
Add the three legs. The difference from the baseline is the whole modelled exposure. Each stressed currency weight equals its stressed XAF cost divided by C′, and these weights sum to 100 %.
Step 6 / Direction
A strengthening euro means more dollars per euro. Under a fixed XAF/EUR peg, each dollar then costs fewer XAF. That is why this mode divides by the strengthening factor. Equal positive and negative percentage moves do not reverse each other under a reciprocal quote. Choose the named direction before interpreting the sign of a result.
Provenance stays with the defaults
Every other row is yours to change. Edit a value here and the instrument follows; the row on the reading line lights its cells in the panel.
0 of 7 inputs differ from the default
Fixed
EUR parityXAF per EUR
Default655.957
Sourced. R32; BEAC FAQ, opened 30 October 2026. Unchanged in the model.
Basket
BudgetXAF
Default100,000,000
Illustrative. Round basket chosen to make cost changes easy to inspect. No GFT project budget is implied.
Euro share% of baseline
Default40
Illustrative. Illustrative mixed procurement basket, 40 % EUR. Replace with invoice data.
Dollar share% of baseline
Default30
Illustrative. Illustrative mixed procurement basket, 30 % USD. Replace with invoice data.
Local share% of baseline
Default30
Illustrative. Illustrative mixed procurement basket, 30 % XAF. Replace with invoice data.
Rate and move
USD baselineXAF per USD
Default586.5
Study-range midpoint. (563 + 610) / 2. Range supplied by the programme lane brief, undated. Illustrative planning reference, not a current quote.
Currency move%
Default10
Illustrative stress. Selected to expose the model’s response. Neither a prediction nor a probability.
Move directionwhich currency strengthens
DefaultUSD strengthens vs EUR
Convention. Choose the named direction before reading the sign of the result.
Preset
Machinery presetshortcut
Default70 % EUR, 25 % USD, 5 % XAF
Illustrative. Illustrative contrast with the mixed basket. Same budget, rate and move; no empirical equipment benchmark.
The GFT programme defaults preset retains the study-range midpoint for the dollar and uses the illustrative budget, mix and shock shown here. It does not reproduce a confidential project cost plan. The slider offers a convenient working window; the numeric field supports the wider validated domain. Budget bounds of XAF 1 to XAF 1 trillion, rate bounds of 1 to 1 million XAF per USD and currency moves from minus 50% to plus 50% are engineering limits for this instrument, not economic estimates.
Use the answer at the right boundary
23.3times: imported share against direct cost change, GFT arithmetic on this scenario
Try another basket / euro, dollar, local
Mixed basket: 70.0 % imported, a 3.00 % direct cost change.
Read the boundary before the result / five beats
Imported share: the euro leg plus the dollar leg. The peg holds the euro leg, so only part of this bar can move.
Beat 1 / Share
Only the dollar portion changes through currency translation while the peg holds. That separates purchasing exposure from local operating cost.
Beat 2 / Arithmetic
In the illustrative default the legs are XAF 40 million, 30 million and 30 million. A 10% rise in XAF per dollar lifts the dollar leg to XAF 33 million and the total to XAF 103 million, a derived increase of XAF 3 million.
Beat 3 / Rate
It changes the reconstructed dollar invoice, not this result, while the XAF shares stay fixed. If a dollar invoice is already known, convert it into the basket first. Save A before revising the boundary.
Beat 4 / Exclusions
Toggle an item to see where it sits against the dollar risk bar. None is estimated here, and a peg change is neither simulated nor given a likelihood.
0 of 6 marked. Nothing marked. All amounts are nominal, undiscounted and rounded for display.
Beat 5 / Before acting
Check invoice currencies and obtain an executable conversion quote for the payment window. Keep capital equipment and recurring inputs in separate scenarios. This is not investment, legal or tax advice.
Where this boundary leads
The paper catalogue connects this question to three entries. They are related catalogue entries, not a claim that reviewed publications are available here.
WP13 in front: Financing the First Line, for the distinction between a purchase cost and its funding structure.
WP13 / catalogue entry
Use it for the distinction between a purchase cost and its funding structure.
Open its paper pageWP12 / catalogue entry
Use it for the timing of procurement.
Open its paper pageWP08 / catalogue entry
Use it for the separate treatment of market access and landed costs.
Open its paper pagePrimary source: BEAC, currency parity FAQ ↗. Undated page, accessed 30 October 2026. Read the source receipts. No live market feed is connected. Catalogue entries only; each paper page states its own status.
Use the result in its boundary
Use one dated baseline, one spend boundary and the currency actually written on the supplier invoice. A fixed euro peg removes the modelled euro conversion shock. It does not remove changes in supplier prices, transfer costs or cash timing.
The scrubber and the direction write the shared scenario, so the instrument follows.
Illustrative basket, pro forma, not a market quote
EURriveted, FIXED
60,979.61 EUR× 655.957
XAF
USDstretched by the move
51,150.90 USD× 645.150
XAF
XAFno conversion
30,000,000 XAFflat
XAF
Total XAF
The fringe, stitched as the delta
The result assumes unchanged invoice amounts and an unchanged XAF/EUR peg. Review the basket when quantities, contracts or payment dates change. This is an illustrative planning aid, not investment, legal or tax advice.