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FRM: Foundations Of Risk Management
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Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
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. When negative taxable income is moved to a different year to offset future or past taxable income
Risks excluded from operational risk
Carry- backs and carry- forwards
Nonparametric VaR
VaR- based analysis (formula)
2. Asset-liability/market-liquidity risk
Liquidity risk
RAR = relative return of portfolio (RRp)
Models used in ERM framework
Treynor measure
3. 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
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
APT for passive portfolio management
Correlation coefficient effect on diversification
Standard deviation of two assets
4. Percentile of the distribution corresponding to the point which capital is exhausted - Typically - a minimum acceptable probability of ruin is specified - and economic capital is derived from it
Recovery rate
Ten assumptions underlying CAPM
Carry- backs and carry- forwards
Probability of ruin
5. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Performance- related metrics
Barings
Drysdale Securities (Chase Manhattan)
Asset transformers
6. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Ways risk can be mismeasured
Basic Market risk
Risk- adjusted performance measure (RAP)
Funding liquidity risk
7. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
APT in active portfolio management
Valuation vs. Risk management
Options motivation on volatility
Basis
8. Relative portfolio risk (RRiskp) - Based on a one- month investment period
RAR = relative return of portfolio (RRp)
Sharpe measure
APT (equation and assumptions)
Recovery rate
9. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Uncertainty
Three main reasons for financial disasters
Financial risks
Ri = Rz + (gamma)(beta)
10. Quantile of a statistical distribution
Parametric VaR
Capital market line (CML)
Basic Market risk
Morningstar Rating System
11. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Options motivation on volatility
Sovereign risk
Importance of communication for risk managers
Security (primary vs secondary)
12. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Solvency-related metrics
Funding liquidity risk
Nonmarketable asset impact on CAPM
Risk
13. Returns on any stock are linearly related to a set of indexes
Derivative contract
Debt overhang
Contango
Ri = ai + bi1l1 + bi2l2....+ei
14. 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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15. 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
Performance- related metrics
What lead to the exponential growth to derivatives mkt?
EPD or ECOR - Expected Policyholder Deficit (EPD)
Traits of ERM
16. RM cannot increase firm value when it costs the same to bear a risk w/in the firm or outside the firm - For RM to increase firm value it must be more expensive to bear risks internally than to pay capital markets to bear them.
EPD or ECOR - Expected Policyholder Deficit (EPD)
Kidder Peabody
Credit event
Risk Management Irrelevance Proposition
17. Probability distribution is unknown (ex. A terrorist attack)
Sortino ratio
VaR- based analysis (formula)
Uncertainty
Business Risk
18. Cannot exit position in market due to size of the position
Where is risk coming from
Roles of risk management
Risk types addressed by ERM
Asset liquidity risk
19. Prices of risk are common factors and do not change - Sensitivities can change
VaR - Value at Risk
APT in active portfolio management
Prices of risk vs sensitivity
Solvency-related metrics
20. Quantile of an empirical distribution
Sovereign risk
Nonmarketable asset impact on CAPM
Nonparametric VaR
Market risk
21. Expected value of unfavorable deviations of a random variable from a specified target level
Sortino ratio
Solvency-related metrics
BTR - Below Target Risk
Shape of portfolio possibilities curve
22. Hazard - Financial - Operational - Strategic
Risk types addressed by ERM
Recovery rate
Barings
Carry- backs and carry- forwards
23. Concave function that extends from minimum variance portfolio to maximum return portfolio
Source of need for risk management
APT in active portfolio management
Efficient frontier
Risk
24. Future price is greater than the spot price
Contango
Recovery rate
Kidder Peabody
Drysdale Securities (Chase Manhattan)
25. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Firms becoming more sensitive to changes(bank deregulation)
Four major types of risk
Carry- backs and carry- forwards
Drysdale Securities (Chase Manhattan)
26. Curve must be concave - Straight line connecting any two points must be under the curve
RAR = relative return of portfolio (RRp)
CAPM with taxes included (equation)
Shape of portfolio possibilities curve
Three main reasons for financial disasters
27. 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)
Ri = Rz + (gamma)(beta)
Source of need for risk management
Three main reasons for financial disasters
28. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Banker's Trust
Contango
Basis risk
LTCM
29. Both probability and cost of tail events are considered
3 main types of operational risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Risk
Market risk
30. Modeling approach is typically between statistical analytic models and structural simulation models
Models used in ERM framework
Operational risk
Volatility Market risk
Risk
31. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Sortino ratio
Standard deviation of two assets
Business risks
Contango
32. Derives value from an underlying asset - rate - or index - Derives value from a security
What lead to the exponential growth to derivatives mkt?
Derivative contract
Banker's Trust
Nonparametric VaR
33. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Information ratio
Debt overhang
Effect of heterogeneous expectations on CAPM
Prices of risk vs sensitivity
34. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Where is risk coming from
Credit event
CAPM with taxes included (equation)
VaR - Value at Risk
35. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
CAPM (formula)
3 main types of operational risk
Practical considerations related to ERM implementatio
Tail VaR or TCE - Tail Conditional Expectation(TCE)
36. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
VaR - Value at Risk
Allied Irish Bank
Ri = Rz + (gamma)(beta)
CAPM (formula)
37. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Debt overhang
Prices of risk vs sensitivity
Standard deviation of two assets
Expected return of two assets
38. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Operational risk
Security (primary vs secondary)
Sovereign risk
Information ratio
39. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
CAPM with taxes included (equation)
Jensen's alpha
Performance- related metrics
LTCM
40. Losses due to market activities ex. Interest rate changes or defaults
Financial risks
Tax shield
Market risk
Drysdale Securities (Chase Manhattan)
41. 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
CAPM assumption for EMH
Derivative contract
Expected return of two assets
Barings
42. The uses of debt to fall into a lower tax rate
Solve for minimum variance portfolio
Tax shield
What lead to the exponential growth to derivatives mkt?
Roles of risk management
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
Shortcomings of risk metrics
Ways firms can fail to account for risks
Sovereign risk
Three main reasons for financial disasters
44. Market risk - Liquidity risk - Credit risk - Operational risk
Risk
Allied Irish Bank
Standard deviation of two assets
Four major types of risk
45. Potential amount that can be lost
Exposure
Importance of communication for risk managers
Derivative contract
Ri = ai + bi1l1 + bi2l2....+ei
46. Rp = XaRa + XbRb
Expected return of two assets
APT for passive portfolio management
Volatility Market risk
Business risks
47. Efficient frontier with inclusion of risk free rate - Straight line with formula Rc = Rf + ((Ra - Rf)/std dev(a))*std dev(c) - c is the total portfolio - a is the risky asset
Tracking error
Importance of communication for risk managers
Capital market line (CML)
Market imperfections that can create value
48. Multibeta CAPM Ri - Rf =
3 main types of operational risk
Risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Sortino ratio
49. Inability to make payment obligations (ex. Margin calls)
Funding liquidity risk
Forms of Market risk
Solve for minimum variance portfolio
Shape of portfolio possibilities curve
50. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Nonmarketable asset impact on CAPM
Importance of communication for risk managers
Financial Risk
Effect of non- price- taking behavior on CAPM
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