She’s got a ticket to ride.
--John Lennon, Paul McCartney
Have you ever attended a county or state fair and spent time on the midway?
If so, you are aware of the dual "currencies" used there. One
currency is the dollar; the other is the ride ticket. Rides
are priced in number of ride tickets, but dollars are needed to buy tickets
at the kiosks. Alternative rides require different numbers of tickets.
For example, the roller coaster may require 8 tickets, the twister, 6
tickets, and the merry-go-round, 2 tickets.
Exchange rates between dollars and other currencies are analogous
to the exchange rate between dollars and ride tickets.(1) Such
tickets are a "currency" used to buy rides, and dollars and
tickets are exchanged.
Initially
suppose that the dollar price of each ticket is $.25. If you were to exchange
tickets for dollars on the midway, you would find that the ticket price
of a dollar is 4; that is, 4 tickets will exchange for $1. The ticket-dollar
exchange rate is 1 ticket = $.25 and the dollar-ticket exchange rate is
$1 = 4 tickets.
Although the rides are priced in tickets, not dollars, the exchange
rate permits quick conversion of ticket prices into dollars. For example,
the 8-ticket price of the roller coaster ride converts to $2 (= 8 tickets
x $.25). Exchange rates enable buyers to convert goods priced
in another currency to prices in their own currency.
Next, suppose that in some year the fair increases the price of
ride tickets from $.25 to $.50. The dollar has depreciated in value,
because more dollars (one-half rather than one-fourth) are needed to buy
each ticket. Ride tickets have appreciated in value, because fewer
tickets (two rather than four) are needed to obtain a dollar. Specifically,
the exchange rate has changed from 1 ticket = $.25 to 1 ticket = $.50,
or alternatively from $1 = 4 tickets to $1 = 2 tickets.
If the fair charges the same number of tickets per ride as before,
the dollar price of the roller coaster ride increases from $2 (= 8 tickets
x $.25) to $4 (8 tickets x $.50). Other things equal, depreciation
of the dollar relative to another currency increases the dollar price
of goods and services that are priced in the other currency.