Effective annual rate: Difference between revisions

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For example GBP overnight interest is conventionally quoted on a simple interest basis for a 365 day year.
'''Example'''
 
GBP overnight interest is conventionally quoted on a simple interest basis for a 365 day year.


So GBP overnight interest quoted at 5.11% means:
So GBP overnight interest quoted at 5.11% means:


(i) Interest of 5.11%/365 = 0.014% is paid per day.
(i)  
 
Interest of 5.11% / 365  
 
= 0.014% is paid per day.
 
(ii)
 
The ''equivalent'' effective annual rate is
 
= 1.00014<sup>365</sup> - 1


(ii) The ''equivalent'' effective annual rate is = 1.00014<sup>365</sup> - 1 = 5.24%.
= 5.24%.





Revision as of 14:27, 16 March 2015

(EAR).

1.

A quoting convention under which interest at the quoted rate is calculated and added to the principal annually.

EAR is the usual quotation basis for instruments with maturities of greater than one year.


2.

A conventional measure which expresses the returns on different instruments on a comparable basis.

The EAR basis of comparison is the equivalent rate of interest paid and compounded annually, which would give the same all-in rate of return as the instrument under review.


Example

GBP overnight interest is conventionally quoted on a simple interest basis for a 365 day year.

So GBP overnight interest quoted at 5.11% means:

(i)

Interest of 5.11% / 365

= 0.014% is paid per day.

(ii)

The equivalent effective annual rate is

= 1.00014365 - 1

= 5.24%.


See also