Discount basis and Value at risk: Difference between pages

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This term can refer either to the cash flows of an instrument (Discount instruments) or to its basis of market quotation (Discount rate).
''Risk management and measurement.''


(VaR).


<span style="color:#4B0082">'''Example: Discount basis calculation'''</span>
Value at risk quantifies risk by estimating a maximum likely adverse change, within a specified time period, with a specified level of confidence.


An instrument is quoted - on a <u>discount basis</u>, one period before its maturity - at a discount of 10% per period.
A common application is the maximum likely loss on a market position, before the position can be closed out.


This means that it is currently trading at a price of 100% LESS 10% = 90% of its terminal value.
VaR is expressed as an amount of money, for example &euro;.


(The periodic ''yield'' on this instrument is 10% / 90% = 11.11%.  So if the same instrument had been quoted on a <u>yield basis</u>, then the quoted yield per period = 11.11%.)
<span style="color:#4B0082">'''Example'''</span>


If weekly VaR is assessed as &euro;250,000 at a 95% level of confidence, it means we are 95% confident that cumulative net losses for any one week will not exceed &euro;250,000.


The relationship between the periodic discount rate (d) and the periodic yield (r) is:
So the probability that weekly losses will exceed &euro;250,000 is 5%, according to the VaR assessment.


r = d / ( 1 - d )
The specified time period is commonly the planned holding period, or else the time lag before the holder of the position could normally respond to close out their loss-making position.


So in this case:


r = 0.10 / ( 1 - 0.10 = 0.90 )
VaR is regularly used as a tool to define and manage risk appetite.  


= 11.11%
 
Value at risk is sometimes abbreviated as 'VAR', rather than 'VaR'.
 
It is sometimes written as 'Value at Risk'.
 
 
Value at risk concepts can be applied to any financial measure.
 
Common examples include cash flow at risk and earnings at risk.




== See also ==
== See also ==
* [[Discount instruments]]
* [[Cash flow at risk]]
* [[Discount rate]]
* [[Correlated value at risk]]
* [[Sterling commercial paper]]
* [[Correlation]]
* [[US commercial paper]]
* [[Delta-normal method]]
* [[Yield basis]]
* [[Earnings at risk]]
* [[Effective annual rate]]
* [[Frequency distribution]]
* [[Nominal annual rate]]
* [[Hedging]]
* [[Periodic discount rate]]
* [[Historical simulation method]]
* [[Periodic yield]]
* [[Incremental VaR]]
* [[Leptokurtosis]]
* [[Marginal VaR]]
* [[Mean deviation]]
* [[Monte Carlo method]]
* [[Risk appetite]]
* [[Standard deviation]]
* [[Variance]]
* [[Variability]]
* [[Volatility]]
 
[[Category:Risk_frameworks]]

Revision as of 15:00, 8 April 2021

Risk management and measurement.

(VaR).

Value at risk quantifies risk by estimating a maximum likely adverse change, within a specified time period, with a specified level of confidence.

A common application is the maximum likely loss on a market position, before the position can be closed out.

VaR is expressed as an amount of money, for example €.


Example

If weekly VaR is assessed as €250,000 at a 95% level of confidence, it means we are 95% confident that cumulative net losses for any one week will not exceed €250,000.

So the probability that weekly losses will exceed €250,000 is 5%, according to the VaR assessment.

The specified time period is commonly the planned holding period, or else the time lag before the holder of the position could normally respond to close out their loss-making position.


VaR is regularly used as a tool to define and manage risk appetite.


Value at risk is sometimes abbreviated as 'VAR', rather than 'VaR'.

It is sometimes written as 'Value at Risk'.


Value at risk concepts can be applied to any financial measure.

Common examples include cash flow at risk and earnings at risk.


See also