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$↔₩Exchange Rate Lab

The number everyone cheers when it 'goes up' — wrongly.

The euro 'rose' from $1.05 to $1.25 — did your dollar's power grow?

An exchange rate is 'the price of one unit of foreign currency' — when it rises, the foreign currency got pricier, meaning your own money got weaker against it.

Experiment

Hands-on experiment

Predict first — the rate rose from $1.05 to $1.25 per euro. Your dollar's buying power in Europe?

Move the rate

As the rate rises, watch which way each number moves.

price of one euro$1.05

a €100 item

$105

import price

your $1,000

€952

converted to euros

Read more — why it exists · insights · common mistakes · formulasExpand ▾

Why

Why does this exist?

'The rate went up' betrays intuition. Up sounds good — but what rose is the price of the other currency. Your trip to Europe gets pricier while exporters celebrate.

A rate is just the price tag on 'one euro'. When apples get pricier, apple sellers smile; when euros get pricier, those who earn euros (exporters) smile and those who spend them (travelers, importers) wince.

Get the direction right and currency news becomes readable. Add the exchange spread and you can compute why an airport kiosk quietly takes 3–7% on a round trip.

Misconception

Common misconceptions

If the exchange rate rises, my currency strengthened.

The opposite. The $/€ rate is 'the dollar price of one euro' — a rising rate means the euro got pricier and the dollar weakened against it. 'Rate up' and 'dollar strong' are antonyms here.

Currency exchange happens at the published mid-market rate.

The mid-market rate is only a reference. Buy and sell prices differ (the spread) — typically 1–3% per direction at kiosks. Exchange and immediately exchange back, and several percent is simply gone.

Formula

Writing it as math

The directions confirmed in the experiment, written as formulas.

The definition

E is 'the dollar price of one euro'. A €100 item costs $105 at E=1.05 and $125 at E=1.25.

The opposite pull

The same $1,000 buys €952 at E=1.05 but only €800 at E=1.25 — a rising rate shrinks your dollar's buying power abroad.

Round-trip loss

A spread s charged on the way out and the way back costs about 2s. At s=3% per direction, a round trip loses about 6%.

In Real Life

Where you meet it in real life

Overseas shopping and travel

A 10% rate rise makes European hotels and imports 10% pricier in dollars — plus your card network's 1–3% foreign transaction fee at settlement.

Exporters' earnings

The same €100M of export revenue converts to $105M at 1.05 and $125M at 1.25 — why exporters' stocks often rise when their home currency weakens.

Commodities and inflation

Oil, wheat, and gas trade in dollars. When a country's currency weakens, import prices climb and reach supermarket shelves months later — exchange rates lead inflation.

Where you exchange matters

Airport kiosks often charge 5%+ per direction; a good app charges near 0.5%. The same vacation cash can cost ten times more in fees depending on the counter.

Math Behind

The math behind this

Related lab

a:b

Ratios

An exchange rate is the ratio between two currencies — a feel for ratio direction IS currency sense.

Go to the Ratios lab →

Connection

Labs connect

Previous lab

%

Percent

Spreads and fee discounts are all percent arithmetic — pack your base-value sense first.

← Percent lab

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Unit Price

You've compared currencies by ratio; now compare products — unit price reveals the real bargain.

Go to the Unit Price lab →