# Yield basis

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%)