Second-order derivative: Difference between revisions

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{{g}}In which the [[JC]] has made up some risk-management jargon, inexpertly cribbing from actual terms used in actual calculus, about which the [[JC]] knows 0. So, apologies in advance, but don’t be upset if I’ve made a balls-up of this.  
{{g}}:''A [[warning light]] does not solve a human error problem, it creates new ones. What is this light for? How do we respond to it? What do we need to do to make it go away? It lit up yesterday and meant nothing. Why listen to it today?
::—{{author|Sidney Dekker}},{{br|The Field Guide to Human Error Investigations}}
 
In which the [[JC]] has made up some risk-management jargon, inexpertly cribbing from actual terms used in actual calculus, about which the [[JC]] knows 0. So, apologies in advance, but don’t be upset if I’ve made a balls-up of this.  


In risk management, the [[first-order derivative]] of an event “ƒ” is the effect that event would have, were it to actually happen in the practical world.  
In risk management, the [[first-order derivative]] of an event “ƒ” is the effect that event would have, were it to actually happen in the practical world.  
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So, for example, the counterparty has failed to make a payment.
So, for example, the counterparty has failed to make a payment.


The [[second-order derivative]], of function ƒ is a derivative of the [[first-order derivative]] of that function. So, for example, the warning light on a control panel, the [[RAG status]] indicator on a [[Middle management|management]] [[PowerPoint]], or the numerical ''quantity'' of an item (completed ISDA [[negotiation]]s); reviewed legal [[netting opinion]]s) whose ''quality'' one doesn’t have the [[subject matter expert]]ise to assess.
The [[second-order derivative]], of function ƒ is a derivative of the [[first-order derivative]] of that function. So, for example, the [[warning light]] on a control panel, the [[RAG status]] indicator on a [[Middle management|management]] [[PowerPoint]], or the numerical ''quantity'' of an item (completed ISDA [[negotiation]]s); reviewed legal [[netting opinion]]s) whose ''quality'' one doesn’t have the [[subject matter expert]]ise to assess.


[[Operations]] people deal with ''actual'' risks; [[legal eagle]]s and fellow [[Controllers|controller]] [[subject matter expert]]s deal with ''[[first-order derivative]]s'' of those actual risks — what the consequences are if the risk comes about — and [[middle management]] and [[internal audit]] deal with ''[[second-order derivative]]s'', being derivatives of those [[first-order derivative]]s of the underlying risk: what the [[RAG status]] on the [[opco]] dashboard should look like if a [[NAV trigger]] is hit; whether the template [[confidentiality agreement]] as been reviewed within the six-month time limit arbitrarily prescribed by some policy for the review of standard form legal agreements — that kind of thing.
[[Operations]] people deal with ''actual'' risks; [[legal eagle]]s and fellow [[Controllers|controller]] [[subject matter expert]]s deal with ''[[first-order derivative]]s'' of those actual risks — what the consequences are if the risk comes about — and [[middle management]] and [[internal audit]] deal with ''[[second-order derivative]]s'', being derivatives of those [[first-order derivative]]s of the underlying risk: what the [[RAG status]] on the [[opco]] dashboard should look like if a [[NAV trigger]] is hit; whether the template [[confidentiality agreement]] as been reviewed within the six-month time limit arbitrarily prescribed by some policy for the review of standard form legal agreements — that kind of thing.