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'''Credit value adjustment''' (CVA) is the difference between the risk-free portfolio value and the true [[Portfolio (finance)|portfolio value]] that takes into account the possibility of a [[counterparty]]’s default. In other words, CVA is the [[market value]] of counterparty [[credit risk]].
 
Unilateral CVA is given by the [[risk-neutral]] expectation of the discounted loss. The risk-neutral expectation can be written as
 
: <math> \mathrm{CVA} = E^Q[L^*] = (1-R)\int_0^T E^Q\left[\frac{B_0}{B_t} E(t)|\tau=t\right] d\mathrm{PD}(0,t) </math>
 
where <math>T</math>&nbsp; is the [[Maturity (finance)|maturity]] of the longest transaction in the portfolio, <math> B_t </math> is the future value of one unit of the [[base currency]] invested today at the prevailing interest rate for maturity <math>t</math>, <math>R</math> is the fraction of the portfolio value that can be recovered in case of a default, <math>\tau</math> is the time of default, <math>E(t)</math> is the exposure at time <math>t</math>, and <math> d\mathrm{PD}(s,t)</math> is the risk neutral probability of counterparty default between times <math>s</math> and <math>t</math>. These probabilities can be obtained from the term structure of [[credit default swap]] (CDS) spreads.
 
More generally CVA can refer to a few different concepts:
* The mathematical concept as defined above;
* A part of the regulatory Capital and RWA (Risk weighted asset) calculation introduced under Basel 3;
* The CVA desk of an investment bank, whose purpose is to:
** hedge for possible losses due to counterparty default;
** hedge to reduce the amount of capital required under the CVA calculation of Basel 3;
* The "CVA charge". The hedging of the CVA desk has a cost associated to it, i.e. the bank has to buy the hedging instrument. This cost is then allocated to each business line of an investment bank (usually as a contra revenue). This allocated cost is called the "CVA Charge".
 
==Exposure, independent of counterparty default==
 
Assuming independence between exposure and counterparty’s [[credit quality]] greatly simplifies the analysis. Under this assumption this simplifies to
 
: <math> \mathrm{CVA} = (1-R) \int_0^T \mathrm{EE}^*(t)~d\mathrm{PD}(0,t) </math>
 
where <math>\mathrm{EE}^*</math> is the risk-neutral discounted expected exposure (EE)
 
==The function of the CVA desk and implications for technology solution==
{{POV-check|section|date=July 2012}}
In the view of leading [[Investment banking|investment banks]], CVA is essentially an activity carried out by both finance and a trading desk in the Front Office. Tier 1 banks either already generate counterparty EPE and ENE (expected positive/negative exposure) under the ownership of the CVA desk (although this often has another name) or plan to do so. Whilst a CVA platform is based on an exposure measurement platform, the solution drivers are very different and it is unwise to create dependencies between the risk exposure management system and front office CVA system, even if they share similar intermediate outputs.
 
A good introduction can be found in a paper by Michael Pykhtin and Steven Zhu.<ref>A Guide to Modeling Counterparty Credit Risk, GARP Risk Review,July-August 2007 [http://ssrn.com/abstract_id=1032522 Related SSRN Research Paper]</ref>
 
==References==
{{Reflist}}
{{refbegin}}
{{refend}}
 
[[Category:Actuarial science]]
[[Category:Mathematical finance]]
[[Category:Financial risk]]

Latest revision as of 02:36, 21 March 2013

Credit value adjustment (CVA) is the difference between the risk-free portfolio value and the true portfolio value that takes into account the possibility of a counterparty’s default. In other words, CVA is the market value of counterparty credit risk.

Unilateral CVA is given by the risk-neutral expectation of the discounted loss. The risk-neutral expectation can be written as

CVA=EQ[L*]=(1R)0TEQ[B0BtE(t)|τ=t]dPD(0,t)

where T  is the maturity of the longest transaction in the portfolio, Bt is the future value of one unit of the base currency invested today at the prevailing interest rate for maturity t, R is the fraction of the portfolio value that can be recovered in case of a default, τ is the time of default, E(t) is the exposure at time t, and dPD(s,t) is the risk neutral probability of counterparty default between times s and t. These probabilities can be obtained from the term structure of credit default swap (CDS) spreads.

More generally CVA can refer to a few different concepts:

  • The mathematical concept as defined above;
  • A part of the regulatory Capital and RWA (Risk weighted asset) calculation introduced under Basel 3;
  • The CVA desk of an investment bank, whose purpose is to:
    • hedge for possible losses due to counterparty default;
    • hedge to reduce the amount of capital required under the CVA calculation of Basel 3;
  • The "CVA charge". The hedging of the CVA desk has a cost associated to it, i.e. the bank has to buy the hedging instrument. This cost is then allocated to each business line of an investment bank (usually as a contra revenue). This allocated cost is called the "CVA Charge".

Exposure, independent of counterparty default

Assuming independence between exposure and counterparty’s credit quality greatly simplifies the analysis. Under this assumption this simplifies to

CVA=(1R)0TEE*(t)dPD(0,t)

where EE* is the risk-neutral discounted expected exposure (EE)

The function of the CVA desk and implications for technology solution

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Additionally, how simple is it to lease out an condominium for a six month lease. The residence we want to purchase is a 3 mattress in a wanted residential area however we can't move there ourselves for a while yet. CapitaLand Ltd., Southeast Asia's largest developer by market capitalization, reported first-quarter web profit of forty two.9 million Singapore dollars (US$28.8 million), an 83% fall from S$247.5 million a 12 months earlier, when the company recorded divestment beneficial properties of S$141.four million. Income for the period fell 23% to S$487 million from S$631.three million. The Peak @ Cairnhill I standing at 15 storeys is positioned on the hill top of Cairnhill Circle in Orchard. Your cheque will probably be returned to you if you determine to not proceed to buy. Typical Sequence of a Venture Preview

Mr Ng's first property mission back in 1962 was a seventy two-unit terrace housing improvement at Jalan Pachelli in the Serangoon Gardens area. In 1969, he developed Watten Property within the Bukit Timah area. In the seventies, Mr Ng developed Far East Shopping Centre and Fortunate Plaza along Orchard Highway, adopted by Far East Plaza on Scotts Highway in the early nineteen eighties. Since then, the group has developed Orchard Parksuites serviced residences and Orchard Central. He was always focused on property. Even when he bought into Yeo Hiap Seng, he had in thoughts the land bank it supplied reasonably than just the food and beverage enterprise,' he added. - 2010 February 3 ENTERPRISE INSTANCES Oxley BizHub is a modern mild industrial improvement inside strolling distance to Tai Seng MRT. Property Builders In the view of leading investment banks, CVA is essentially an activity carried out by both finance and a trading desk in the Front Office. Tier 1 banks either already generate counterparty EPE and ENE (expected positive/negative exposure) under the ownership of the CVA desk (although this often has another name) or plan to do so. Whilst a CVA platform is based on an exposure measurement platform, the solution drivers are very different and it is unwise to create dependencies between the risk exposure management system and front office CVA system, even if they share similar intermediate outputs.

A good introduction can be found in a paper by Michael Pykhtin and Steven Zhu.[1]

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro. Template:Refbegin Template:Refend

  1. A Guide to Modeling Counterparty Credit Risk, GARP Risk Review,July-August 2007 Related SSRN Research Paper