Nominal annual rate: Difference between revisions
imported>Doug Williamson (Generalise to include borrowing.) |
imported>Doug Williamson (Expand and link with related concepts.) |
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'''Example''' | '''Example 1''' | ||
GBP overnight interest payable at the periodic rate of 0.014% per day, would conventionally be quoted on a nominal annual basis as: | GBP overnight interest payable at the periodic rate of 0.014% per day, would conventionally be quoted on a nominal annual basis as: | ||
= number of times the period fits into a conventional year x periodic rate | |||
= 365 x 0.014% | = 365 x 0.014% | ||
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The nominal annual rate is sometimes also known as a 'quoted rate', 'market rate, or 'nominal rate'. | |||
The nominal annual rate should not be confused with the effective annual rate, which is usually different. | |||
'''Notation''' | |||
Nominal annual interest rates and yields are often denoted by 'R'. | |||
This distinguishes them from periodic interest rates and yields (r), and from effective annual rates (EAR). | |||
'''Conversion formulae''' | |||
Using the notation above: | |||
R = nominal annual interest rate or yield | |||
r = periodic interest rate or yield | |||
n = number of times the period fits into a conventional year | |||
'''''To convert from a periodic rate to a nominal annual rate''''' | |||
R = r x n | |||
'''''To convert from a nominal annual rate to a periodic rate''''' | |||
r = R / n | |||
'''Example 2''' | |||
GBP interest is quoted at a nominal annual rate of 5.11% for daily interest calculation. | |||
Calculate the periodic rate per day. | |||
r = R / n | |||
= 5.11% / 365 | |||
= 0.014% | |||
'''Example 3''' | |||
The periodic rate for GBP interest is 0.01% per day. | |||
Calculate the nominal annual rate. | |||
R = r x 365 | |||
= 0.01% x 365 | |||
= 3.65% | |||
Revision as of 10:10, 27 October 2015
The rate of return - or cost of borrowing - per annum named or quoted in a market, under the quoting convention for the given market.
Market quotations are usually given per annum, and for this reason the term nominal rate is often used interchangeably with nominal annual rate.
Example 1
GBP overnight interest payable at the periodic rate of 0.014% per day, would conventionally be quoted on a nominal annual basis as:
= number of times the period fits into a conventional year x periodic rate
= 365 x 0.014%
= 5.11%.
The nominal annual rate is sometimes also known as a 'quoted rate', 'market rate, or 'nominal rate'.
The nominal annual rate should not be confused with the effective annual rate, which is usually different.
Notation
Nominal annual interest rates and yields are often denoted by 'R'.
This distinguishes them from periodic interest rates and yields (r), and from effective annual rates (EAR).
Conversion formulae
Using the notation above:
R = nominal annual interest rate or yield
r = periodic interest rate or yield
n = number of times the period fits into a conventional year
To convert from a periodic rate to a nominal annual rate
R = r x n
To convert from a nominal annual rate to a periodic rate
r = R / n
Example 2
GBP interest is quoted at a nominal annual rate of 5.11% for daily interest calculation.
Calculate the periodic rate per day.
r = R / n
= 5.11% / 365
= 0.014%
Example 3
The periodic rate for GBP interest is 0.01% per day.
Calculate the nominal annual rate.
R = r x 365
= 0.01% x 365
= 3.65%
