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market risk

Market risk refers to the risk of losses in the bank's portfolio due to changes in the financial markets.

Market Risk Management 

Market risk refers to the risk of losses in the bank's portfolio due to changes in equity prices, interest rates, credit spreads, foreign-exchange rates, commodity prices, and other indicators influenced by the performance of the financial markets. Sources of market risk include political turmoil, changes in interest rates, natural disasters and terrorist attacks. 
The ultimate purpose of managing the risk is to ensure that the bank has enough capital to guard itself against the risks if the unthinkable crisis were to hit a bank. To calculate the required capital, we need to understand the risks that a bank is carrying. This particular topic only covers Market Risk among many other risks like Credit, Operational, Liquidity risks, etc. that the bank would have to hold the capital against.
So how is the market risk identified, measured, managed and monitored? The illustration below provides a birds-eye view of the market risk management.
Market Risk Overview, Identification Measurement, Monitoring, Reporting, Risk aggregation

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Risk Identification
Identify and map positions to the Risk Factors

Risk identification begins with identifying risk factors in the portfolio as a first step. Positions are mapped to a small set of risk factors which is called as risk factor mapping. It depends on the number and type of instruments within the portfolio.
Risk Factors help pinpoint specific risk areas in the portfolio. Risk factors are uniquely driven by changes in specific macroeconomic factors like central bank policy actions which will impact interest rate risk factors.
This is also called as modeling risk by risk factors. Large number of deals are mapped to a smaller set of risk factors reducing the computing time for risk simulations. As an example in the illustration, Interest Rate, Currency and Equites risk factors are mapped for all the rates positions. If a portfolio contains 1000 Rates deals all of them can be mapped to the above 3 risk factors.
Comparable assets can also be used as proxy assets for modeling in cases where enough historical data is not available for positions or some OTC instrument that has no previous history.

Market Risk Identification

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Risk Measurement
The key risk measures that are calculated for the Market Risk are: VaR, Stressed VaR, IRC, RC and RNIV.
​VaR (Value at Risk) is used for the day to day risk management, setting risk limits, decision making to guide investment and hedging strategies, and for reporting including annual disclosures. VaR is the default model used for the calculation of minimum capital requirements and is set at a high confidence level of 99% or higher to protect against crisis events that would threaten the survival of the bank. 
VaR is derived from the distribution of P&L, and is the loss quantile of the distribution. VaR is the minimum loss given the probability. It is one single number that represents the risk. It is an estimate of loss over a fixed time period that would be equal or exceed with a given probability.as an example if a portfolio has 10-day VaR of 1m with a confidence level of 99% then there is a probability of 1% that the portfolio may lose 1m or more over next 10 days. It provides a common consistent way to measure risk across positions and risk factors.

Market Risk VaR and Expected Shortfall
For trading books, VaR, stressed VaR and incremental risk models are mostly used while interest rate risk model is used for the interest risk in the banking book.
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Expected Shortfall

One of the biggest drawbacks of VaR is that it tells the amount we expect to lose more than the VaR but does not tell the how much more amount of loss that can be (in the remaining 1% of occasions if VaR calculated to 99% confidence). Expected Shortfall (ES) or Expected Tail Loss or tail VaR tries to address this deficiency of VaR. ES is a better risk measure which provides an expected loss if the tail event occurs. ETL is sub-additive while VaR is not which is a very favorable properly when analyzing risk and its sub parts. Sub-additivity is an important property since the risk of the portfolio should always be less of equal to the sum of risk of its components. Addition sub-portfolios together should not increase risk.
Risk Management is always focused on the left hand tail that corresponds to the high negative P/L values or big losses.

Calculating Risk Measures
Calculation of VaR is driven by country specific regulatory requirements, it can also be driven by region and product specific regulators. A segment can have its own regulator depending on the size of the market. USA has multiple regulators governing the different kind of markets while some countries can have a regulator overlooking everything.

 
Financial Regulators
Market Risk modelling Monte Carlo, Historic Simulation
Calculation methodologies
Historic Simulation, Variance Co-Variance/parametric  and Monte-Carlo simulation are commonly used methodologies to produce VaR numbers. In the Historical simulation approach, the distribution is made of scenarios sampled from history. 
Marginal VaR describes change in total var resulting from 1 dollar change of the component value (positions of different instruments)
Incremental VaR is a change in VaR due to new position added to  a portfolio.
Component VaR is often used by risk management as it is additive i.e the component VaRs add up to the portfolio VaR.
Var Calculation Inputs ​
Product Valuation
Full revaluation / delta-gamma approximation / delta approximation
VaR methodology
Historic  / Parametric / Monte-Carlo Simulation
​Observation window
250 days/ 500 days /750 days / 1000 days
Confidence Level
95% / 97.5% / 99%
Return
Relative return/ Absolute return / log return
Return period
Daily / Weekly / 10-day
Scenario Weighting
​Equally weighted / exponentially weighted
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Market Risk Reporting and Analytics BCBS 239 Risk metrics
Reporting and Analytics
The reporting and analytics systems must be comprehensive covering:
- Overarching Governance structure, supervisory workflows
- Risk Data Aggregation across Organization levels, Regions and Lines of Business
- Provide granularity across spectrum of the organization from leadership to management to support
- Report on all key Risk Indicators, highlight areas of concern and emerging threats and opportunities
- Provide analytical tools to monitor changes and transparency to lowest levels of data
- Compliance to the Legal and Regulatory requirements
The IT infrastructure must be scalable to support these capabilities.
It must adhere to the principles for effective risk data aggregation and risk reporting by Basel Committee on Banking Supervision.
-Governance & IT infrastructure
-Accuracy and Integrity, Completeness, Timeliness and Adaptability
​- Comprehensiveness, Clarity and usefulness, Frequency and Distribution
Refer to BCBS 239 principles here: www.bis.org/publ/bcbs239.pdf 

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Monitoring Risk
Banks monitor various types of limits to reduce the risk exposure. Limits are authorized by the board and the senior risk management committees. They are allocated across the organization by risk types, business lines from top to bottom, regions, legal entities and countries. The risk organization reports and monitors the compliance against the approved limits.

The types of limits used are:
  • VaR limits - Market exposures are calculated based on the underlying risk factors of a portfolio at specified confidence levels. VaR metrics include Regulatory, Management, Stressed, Scenarios, Incremental risk, Economic risk, sensitivity levels, etc.
  • Maturity Gap limits - used to limit xposure to interest rate risk
  • Limits on illiquid markets
  • Limits on volatile markets
  • Limits on non-strategic, lesser appetite markets
  • Limits on net and gross positions
  • Stop-loss limits to limit loss
​​Limits are based on the RISK APPETITE of the bank.

Monitoring Market Risk limits, var, stressed var, maturity gap

Market Risk Controls, Risk Assessment Training, policies, compliance
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Effective Controls and Compliance
The compliance team is responsible for the Market Risk Control framework to provide oversight and support. It sets Limits framework within the context of the approved Market Risk appetite. It is also responsible for drafting and enforcing policies, processes, best practices and standards.
The unit ensures legal and regulatory compliance to the regional and local authorities.
Necessary training for risk assessment, risk evaluation, preventative controls, operations, etc. are facilitated by this team.

 
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