Currency Appreciation and Depreciation Calculator

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Currency Appreciation/Depreciation Calculator
Base
Currency
Quote
Currency
1 =
(Exchange Rate #1)
1 =
(Exchange Rate #2)
Answer:

Relative to GBP, INR Depreciated   21.277%

Relative to INR, GBP Appreciated   27.027%

Calculating Currency Appreciation or Depreciation

Given 2 exchange rates in terms of a Base Currency and a Quote Currency we can calculate appreciation and depreciation between them using the percentage change calculation.  Letting e1 be the starting rate and e2 the final rate.

The percentage change of the Quote Currency relative to the Base Currency is ((e1 - e2)/e2) * 100.

The percentage change of the Base Currency relative to the Quote Currency is ((e2 - e1)/e1) * 100.

A positive change is appreciation and a negative change is depreciation.

Example Calculation:

For example, calculating between GBP and INR; if a year ago 1 GBP = 42.553 INR and today 1 GBP = 54.054 INR we have e1 = 42.553 and e2 = 54.054.

The percentage change of INR relative to GBP is ((e1 - e2)/e2) * 100 = ((42.553 - 54.054)/54.054) * 100 = -21.277%; Relative to GBP, INR Depreciated 21.277%.

The percentage change of GBP relative to INR is ((e2 - e1)/e1) * 100 = ((54.054 - 42.553)/42.553) * 100 = 27.027%; Relative to INR, GBP Appreciated 27.027%.

 

Cite this content, page or calculator as:

Furey, Edward "Currency Appreciation and Depreciation Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.