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FRM: Foundations Of Risk Management
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Instructions:
Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Nonmarketable asset impact on CAPM
Performance- related metrics
Options motivation on volatility
Multi- period version of CAPM
2. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Risk
Basis risk
Liquidity risk
3 main types of operational risk
3. The uses of debt to fall into a lower tax rate
Firms becoming more sensitive to changes(bank deregulation)
Tax shield
Standard deviation of two assets
Shortfall risk
4. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Solve for minimum variance portfolio
VaR- based analysis (formula)
Performance- related metrics
Basis risk
5. Relative portfolio risk (RRiskp) - Based on a one- month investment period
RAR = relative return of portfolio (RRp)
Shortcomings of risk metrics
Uncertainty
Expected return of two assets
6. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Barings
Tracking error
Business Risk
Nonmarketable asset impact on CAPM
7. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Tax shield
Jensen's alpha
Risk Management Irrelevance Proposition
Asset transformers
8. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Nonmarketable asset impact on CAPM
Risk types addressed by ERM
Basis risk
CAPM with taxes included (equation)
9. Sold complex derivatives to Proctor & Gamble and Gibson - Were sued due to claims that they deceived buyers - Need for better controls for matching complexity of trade with client sophistication - Need for price quotes independent of front office Met
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10. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Recovery rate
Valuation vs. Risk management
Derivative contract
Sharpe measure
11. Multibeta CAPM Ri - Rf =
Funding liquidity risk
Settlement risk
Models used in ERM framework
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
12. Asses firm risks - Communicate risks - Manage and monitor risks
Roles of risk management
Valuation vs. Risk management
Derivative contract
Forms of Market risk
13. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Jensen's alpha
Sovereign risk
Asset liquidity risk
Practical considerations related to ERM implementatio
14. Future price is greater than the spot price
Ways firms can fail to account for risks
Derivative contract
Contango
Sortino ratio
15. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
VaR - Value at Risk
Effect of heterogeneous expectations on CAPM
Funding liquidity risk
Source of need for risk management
16. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Settlement risk
Drysdale Securities (Chase Manhattan)
Ri = Rz + (gamma)(beta)
Multi- period version of CAPM
17. Interest rate movements - derivatives - defaults
Business risks
Ways risk can be mismeasured
Financial Risk
Where is risk coming from
18. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Nonmarketable asset impact on CAPM
EPD or ECOR - Expected Policyholder Deficit (EPD)
Options motivation on volatility
VaR- based analysis (formula)
19. Quantile of an empirical distribution
Ways risk can be mismeasured
Uncertainty
Importance of communication for risk managers
Nonparametric VaR
20. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Models used in ERM framework
Performance- related metrics
CAPM (formula)
Exposure
21. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Shape of portfolio possibilities curve
Liquidity risk
Market risk
CAPM (formula)
22. The need to hedge against risks - for firms need to speculate.
Roles of risk management
Sharpe measure
Debt overhang
What lead to the exponential growth to derivatives mkt?
23. Hazard - Financial - Operational - Strategic
Risk types addressed by ERM
Shortcomings of risk metrics
Exposure
Valuation vs. Risk management
24. Modeling approach is typically between statistical analytic models and structural simulation models
Models used in ERM framework
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Treynor measure
Effect of non- price- taking behavior on CAPM
25. Probability that a random variable falls below a specified threshold level
Liquidity risk
Funding liquidity risk
Shortfall risk
Business Risk
26. Risk of loses owing to movements in level or volatility of market prices
Market risk
LTCM
Roles of risk management
Business Risk
27. CAPM requires the strong form of the Efficient Market Hypothesis = private information
CAPM assumption for EMH
Information ratio
EPD or ECOR - Expected Policyholder Deficit (EPD)
Capital market line (CML)
28. Quantile of a statistical distribution
Parametric VaR
Three main reasons for financial disasters
Valuation vs. Risk management
Asset liquidity risk
29. Firm may ignore known risk - Somebody in firm may know about risk - but it's not captured by models - Realization of a truly unknown risk
Parametric VaR
Shortcomings of risk metrics
Information ratio
Ways firms can fail to account for risks
30. When two payments are exchanged the same day and one party may default after payment is made
Security (primary vs secondary)
CAPM assumption for EMH
Settlement risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
31. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Basis
Sortino ratio
Treynor measure
Debt overhang
32. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Liquidity risk
Roles of risk management
APT in active portfolio management
CAPM (formula)
33. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Barings
BTR - Below Target Risk
3 main types of operational risk
Risk
34. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Debt overhang
Efficient frontier
VaR- based analysis (formula)
Uncertainty
35. Long Term Capital Management - Renowned quants produced great returns with arbitrage- type trades - Unexpected and extreme events resulted in devaluation of Russian Rouble - resulting in a 3.65 billion dollar bailout - Failure to account for illiquid
LTCM
Source of need for risk management
Tax shield
Ten assumptions underlying CAPM
36. No transaction costs - assets infinitely divisible - no personal tax - perfect competition - investors only care about mean and variance - short- selling allowed - unlimited lending and borrowing - homogeneity: single period - homogeneity: same mean
Uncertainty
Allied Irish Bank
Business risks
Ten assumptions underlying CAPM
37. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Nonparametric VaR
Treynor measure
Tax shield
Ways firms can fail to account for risks
38. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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39. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Volatility Market risk
Where is risk coming from
Operational risk
3 main types of operational risk
40. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Volatility Market risk
Debt overhang
Effect of heterogeneous expectations on CAPM
Differences in financial risk management for financial companies vs industrial companies
41. Volatility of unexpected outcomes
VaR- based analysis (formula)
Tracking error
Risk
Expected return of two assets
42. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Ways firms can fail to account for risks
Standard deviation of two assets
Morningstar Rating System
Four major types of risk
43. May not scale over time- Historical data may be meaningless - Not designed to account for catastrophes - VaR says nothing about losses in excess of VaR - May not handle sudden illiquidity
Where is risk coming from
Shortcomings of risk metrics
Prices of risk vs sensitivity
Morningstar Rating System
44. Law of one price - Homogeneous expectations - Security returns process
Asset liquidity risk
APT (equation and assumptions)
Drysdale Securities (Chase Manhattan)
Prices of risk vs sensitivity
45. Enterprise Risk Management - ERM is a discipline - culture of enterprise - ERM applies to all industries - ERM is not just defensive - adds value - ERM encompasses all risks - ERM addresses all stakeholders
Probability of ruin
Effect of heterogeneous expectations on CAPM
Traits of ERM
Credit event
46. Probability distribution is unknown (ex. A terrorist attack)
Exposure
Uncertainty
Drysdale Securities (Chase Manhattan)
CAPM (formula)
47. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Market risk
Risk
CAPM (formula)
Credit event
48. Designate ERM champion - usually CRO - Make ERM part of firm culture - Determining all possible risks - Quantifying operational and strategic risks - Integrating risks (dependencies) - Lack of risk transfer mechanisms - Monitoring
Settlement risk
Uncertainty
Importance of communication for risk managers
Practical considerations related to ERM implementatio
49. Track an index with a portfolio that excludes certain stocks - Track an index that must include certain stocks - To closely track an index while tailoring the risk exposure
Risk- adjusted performance measure (RAP)
Business risks
CAPM (formula)
APT for passive portfolio management
50. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Standard deviation of two assets
Importance of communication for risk managers
Where is risk coming from
Operational risk
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