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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. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
VaR- based analysis (formula)
Market risk
CAPM with taxes included (equation)
Efficient frontier
2. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Basis
VaR- based analysis (formula)
Ways firms can fail to account for risks
Zero- beta CAPM (two factor model)
3. Relative portfolio risk (RRiskp) - Based on a one- month investment period
Market risk
RAR = relative return of portfolio (RRp)
Credit event
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
4. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
CAPM (formula)
Asset transformers
Standard deviation of two assets
Valuation vs. Risk management
5. Inability to make payment obligations (ex. Margin calls)
Standard deviation of two assets
Funding liquidity risk
Where is risk coming from
Financial Risk
6. 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
Importance of communication for risk managers
Debt overhang
Practical considerations related to ERM implementatio
Funding liquidity risk
7. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
BTR - Below Target Risk
Nonmarketable asset impact on CAPM
Options motivation on volatility
Shape of portfolio possibilities curve
8. Prices of risk are common factors and do not change - Sensitivities can change
Sovereign risk
Settlement risk
Business Risk
Prices of risk vs sensitivity
9. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Risk types addressed by ERM
Recovery rate
Risks excluded from operational risk
Models used in ERM framework
10. Strategic risk - Business risk - Reputational risk
APT in active portfolio management
Risks excluded from operational risk
Capital market line (CML)
Debt overhang
11. Probability that a random variable falls below a specified threshold level
Solve for minimum variance portfolio
Shortfall risk
Sortino ratio
Practical considerations related to ERM implementatio
12. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Security (primary vs secondary)
Kidder Peabody
Firms becoming more sensitive to changes(bank deregulation)
Parametric VaR
13. Wrong distribution - Historical sample may not apply
3 main types of operational risk
Asset liquidity risk
Ways risk can be mismeasured
Uncertainty
14. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Differences in financial risk management for financial companies vs industrial companies
Source of need for risk management
Nonmarketable asset impact on CAPM
Security (primary vs secondary)
15. The uses of debt to fall into a lower tax rate
Tax shield
RAR = relative return of portfolio (RRp)
Capital market line (CML)
Correlation coefficient effect on diversification
16. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Liquidity risk
Shortfall risk
Standard deviation of two assets
Differences in financial risk management for financial companies vs industrial companies
17. Risk of loses owing to movements in level or volatility of market prices
Shape of portfolio possibilities curve
VaR- based analysis (formula)
Market risk
Financial risks
18. Volatility of unexpected outcomes
Shape of portfolio possibilities curve
Risk
Models used in ERM framework
Performance- related metrics
19. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Asset transformers
Solve for minimum variance portfolio
Options motivation on volatility
Debt overhang
20. Absolute and relative risk - direction and non-directional
Efficient frontier
Treynor measure
Forms of Market risk
Capital market line (CML)
21. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Kidder Peabody
Where is risk coming from
APT (equation and assumptions)
Risk
22. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
APT in active portfolio management
Market imperfections that can create value
Where is risk coming from
Business Risk
23. Expected value of unfavorable deviations of a random variable from a specified target level
Sortino ratio
Probability of ruin
Practical considerations related to ERM implementatio
BTR - Below Target Risk
24. Quantile of a statistical distribution
Parametric VaR
Sortino ratio
Security (primary vs secondary)
Basic Market risk
25. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Funding liquidity risk
Tax shield
RAR = relative return of portfolio (RRp)
Solve for minimum variance portfolio
26. Leeson took large speculative position in Nikkei 225 disguised as safe transactions by fake customers - Earthquake increased volatility and destroyed short put options - Losses of 1.25 billion and forced bankruptcy - Necessity of an independent tradi
Barings
CAPM assumption for EMH
CAPM with taxes included (equation)
Jensen's alpha
27. CAPM requires the strong form of the Efficient Market Hypothesis = private information
Probability of ruin
Efficient frontier
CAPM assumption for EMH
Valuation vs. Risk management
28. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Treynor measure
Business Risk
APT (equation and assumptions)
Probability of ruin
29. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Probability of ruin
EPD or ECOR - Expected Policyholder Deficit (EPD)
Zero- beta CAPM (two factor model)
Multi- period version of CAPM
30. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
CAPM assumption for EMH
VaR - Value at Risk
Nonparametric VaR
Shortfall risk
31. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
What lead to the exponential growth to derivatives mkt?
Zero- beta CAPM (two factor model)
Practical considerations related to ERM implementatio
Debt overhang
32. Derives value from an underlying asset - rate - or index - Derives value from a security
CAPM assumption for EMH
Risk
Derivative contract
Ten assumptions underlying CAPM
33. 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
Parametric VaR
VaR - Value at Risk
LTCM
Debt overhang
34. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Uncertainty
Basis risk
CAPM with taxes included (equation)
Risk
35. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Information ratio
Drysdale Securities (Chase Manhattan)
Sortino ratio
Asset liquidity risk
36. Obtained unsecured borrowing of 300 million by exploiting flaw in computing US government bond collateral - Had only 20 million in capital - Chase absorbed losses since they brokered deal - Called for better process control and more precise methods f
Drysdale Securities (Chase Manhattan)
Jensen's alpha
Financial risks
Carry- backs and carry- forwards
37. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
VaR- based analysis (formula)
Forms of Market risk
Kidder Peabody
38. Potential amount that can be lost
Shape of portfolio possibilities curve
Exposure
Market risk
3 main types of operational risk
39. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Contango
Practical considerations related to ERM implementatio
Market imperfections that can create value
Shortcomings of risk metrics
40. Changes in vol - implied or actual
3 main types of operational risk
Shortfall risk
Volatility Market risk
Parametric VaR
41. 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
Settlement risk
Standard deviation of two assets
Shortcomings of risk metrics
Nonparametric VaR
42. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Firms becoming more sensitive to changes(bank deregulation)
Information ratio
Tail VaR or TCE - Tail Conditional Expectation(TCE)
APT for passive portfolio management
43. 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
Ways firms can fail to account for risks
Practical considerations related to ERM implementatio
Risk
Debt overhang
44. The lower (closer to - 1) - the higher the payoff from diversification
Correlation coefficient effect on diversification
Liquidity risk
Market risk
Formula for covariance
45. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
CAPM with taxes included (equation)
EPD or ECOR - Expected Policyholder Deficit (EPD)
Source of need for risk management
Ways firms can fail to account for risks
46. Both probability and cost of tail events are considered
VaR- based analysis (formula)
Kidder Peabody
Tail VaR or TCE - Tail Conditional Expectation(TCE)
CAPM with taxes included (equation)
47. Unanticipated movements in relative prices of assets in hedged position
Tracking error
Basic Market risk
Debt overhang
Financial Risk
48. Probability distribution is unknown (ex. A terrorist attack)
Uncertainty
Allied Irish Bank
Information ratio
Tracking error
49. The need to hedge against risks - for firms need to speculate.
Practical considerations related to ERM implementatio
What lead to the exponential growth to derivatives mkt?
Asset transformers
Information ratio
50. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Liquidity risk
Traits of ERM
Sovereign risk
Settlement risk
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