Yield basis: Difference between revisions

From ACT Wiki
Jump to navigationJump to search
imported>Doug Williamson
(Spacing.)
imported>Doug Williamson
(Classify page.)
 
(2 intermediate revisions by the same user not shown)
Line 4: Line 4:
<span style="color:#4B0082">'''Example: Yield basis calculation'''</span>
<span style="color:#4B0082">'''Example: Yield basis calculation'''</span>


When an instrument is quoted - on a <u>yield basis</u>, one period before its maturity - at a yield of 10% per period, this means that it is currently trading at a price of 100% DIVIDED BY [1 + 10% = 1.10] = 90.91% of its terminal value.
When an instrument is quoted - on a <u>yield basis</u>, one period before its maturity - at a yield of 10% per period, this means that it is currently trading at a price of 100% DIVIDED BY (1 + 10% = 1.10) = 90.91% of its terminal value, to the nearest 0.01%.




Line 12: Line 12:
The relationship between the periodic yield (r) and the periodic discount rate (d) is:
The relationship between the periodic yield (r) and the periodic discount rate (d) is:


d = r/[1+r]
d = r/(1+r)




So in this case:
So in this case:


d = 0.10/[1 + 0.10 = 1.10]
d = 0.10/(1 + 0.10)


= 9.09%
= 0.10/1.10
 
= 9.09% (to the nearest 0.01%)




Line 27: Line 29:
* [[Nominal annual rate]]
* [[Nominal annual rate]]
* [[Periodic yield]]
* [[Periodic yield]]
[[Category:Financial_products_and_markets]]

Latest revision as of 20:27, 27 June 2022

A basis of quoting the return on an instrument by reference to its current value (rather than by reference to its terminal value).


Example: Yield basis calculation

When an instrument is quoted - on a yield basis, one period before its maturity - at a yield of 10% per period, this means that it is currently trading at a price of 100% DIVIDED BY (1 + 10% = 1.10) = 90.91% of its terminal value, to the nearest 0.01%.


(The periodic discount rate on this instrument is 100% LESS 90.91% = 9.09%. So if the same instrument had been quoted on a discount basis, then the quoted discount rate per period = 9.09%.)


The relationship between the periodic yield (r) and the periodic discount rate (d) is:

d = r/(1+r)


So in this case:

d = 0.10/(1 + 0.10)

= 0.10/1.10

= 9.09% (to the nearest 0.01%)


See also