revision lecture risk management. exam there will be 2 and a half questions from the topics...
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Exam
• There will be 2 and a half questions from the topics operational risk, market risk, foreign exchange risk, interest rate risk amnagement
Sources of Operational Risk
• Technology
• Employees
• Customer relationships
• Capital assets
• External
Technology costs and Revenues
• Investments in technology are risky– Potentially negative NPV projects due to
uncertainty and potential competitive responses
– Potential agency conflicts:• Growth-oriented investments may not maximize
shareholder’s value• Losses on technological investments can weaken
an FI
Controllable Technology Risks
• Programming error
• Model risk
• Mark-to-market error
• Management information
• IT/Telecomm systems outage
• Technology provider failure
• Contingency planning
Controllable Employees Risks
• Employees– Turnover – Key personnel– Fraud– Rogue trading (Barings, Allied Irish, BNP)– Money laundering– Confidentiality breach- information in the bins
• Revelation of ethical problems via email exchanges
External Risks
• Efforts to expand consumer acceptance of web-based services frustrated by scams– Phishing– “Spoofing” messages purported to be from FIs– Identity theft concerns
• Vulnerability of online credit card usage
Risks (continued)
• International Technology Transfer Risk• Crime and Fraud Risk
– Fraud risk, especially from FI employees increased– ABN AMRO $80 million fine
• Regulatory Risk– Technology facilitates avoidance of regulation by
locating in least regulated state or country- Offshore banking units
• Tax Avoidance• Competition Risk from non financial firms
Statistics and controlling Operational Risk
• Loss prevention: – Training, development, review of employees
• Loss control: – Planning, organization, back-up
• Loss financing: – External insurance
• Loss insulation: – FI capital
Market Risk Measurement
• Important in terms of:– Management information– Setting limits– Resource allocation (risk/return tradeoff)– Performance evaluation– Regulation
• BIS and Fed regulate market risk via capital requirements leading to potential for overpricing of risks
• Allowances for use of internal models to calculate capital requirements
Market risk calculation methods
Risk Metrics/ variance approach
Risk calculations methods
Portfolio Aggregation
Fixed Income
Foreign
Exchange
Historic/ back
simulation
Monte Carlo Simulation
Equities
RiskMetrics ModelDaily earnings at risk (DEAR)= (Dollar market value of
position) × (Price sensitivity of the position)× (Potential adverse move in yield)
Price sensitivity is modified duration (MD) of bond
i.e. MD=time/(1+rate of yield)
(Price sensitivity) x (adverse yield) = total price volatility of an asset hence
DEAR = Dollar market value of position × Price volatility.
Example for Fixed Income Securities
• Suppose a FI has a market position of $1m n zero coupon bonds of 7 years to maturity with a face value of 1,631,483.
• Today yields on these bonds is 7.243% per year.
• These bonds are held as part of trading portfolio hence market value is $1m
Formula
DEAR= (market value) x (MD) x (adverse daily yield curve)
Step1- MV= $1 million
Solution for fixed income securities
Solution for fixed income securities
Formula
DEAR= (market value) x (MD) x (adverse daily yield curve)
Step2- MD= (Time to maturity)/(1+rate of yield)
i.e MD= 7/(1+.07243)= 6.527
FormulaDEAR= (market value) x (MD) x (adverse
daily yield curve)
Step3- Adverse Daily Yield= we assume the possibilities are distributed along a Normal curve. We define the it is 5% chance that yield will exceed this amount in either direction i.e 1 in 20 can be bad outcomes
Solution for fixed income securities
Adverse 7-Year Rate Move
In normal distribution curve middle 90% is found within +- 1.65 standard deviation from the mean. i.e. only 10% of the area fall outside the +- 1.65
– Suppose that we are long in 7-year zero-coupon bonds and we define “bad” yield changes such that there is only 5% chance of the yield change being exceeded in either direction. Assuming normality, 90% of the time yield changes will be within 1.65 standard deviations of the mean. If the standard deviation is 10 basis points, this corresponds to 16.5 basis points. Concern is that yields will rise. Probability of yield increases greater than 16.5 basis points is 5%.
Solution for fixed income securities
Formula
DEAR= (market value) x (MD) x (adverse daily yield curve)
Step3- Adverse daily yield curve is 16.5bps or 0.00165 or 0.165%
Solution for fixed income securities
Formula
DEAR= (market value) x (MD) x (adverse daily yield curve)
Step4 - Result
$1,000,000*6.527*.00165
= $10,770
Solution for fixed income securities
• To calculate the potential loss for more than one day:
Market value at risk (VARN) = DEAR ×
• Example:
For a five-day period, √5 x DEAR
VAR5 = $10,770 ×
= $24,082
N
N
5
Solution for fixed income securities
Simulation vs. other methods of risk measurement
• Simulation – Results are based on a huge number of situations and they can
be increased as required .– It involves VAR, Semi –Variance, Negative Variance, Standard
Deviation, etc – One gives a vision of probabilities of outcomes Statistical
methods
• Statistics analysis– Results are based on the past performance. Recent economic
events make all the statistical methods ineffective.– Statistical methods involve Convexity, calculus. – It is based on sensitivity to the change in some underlying risk
factors.