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Test your basic knowledge |
FRM: Foundations Of Risk Management
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business-skills
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certifications
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frm
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
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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. The lower (closer to - 1) - the higher the payoff from diversification
Basic Market risk
Ways risk can be mismeasured
Business Risk
Correlation coefficient effect on diversification
2. Wrong distribution - Historical sample may not apply
Ways risk can be mismeasured
VaR- based analysis (formula)
Asset transformers
Settlement risk
3. Losses due to market activities ex. Interest rate changes or defaults
Operational risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Market risk
Financial risks
4. 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.
Risk Management Irrelevance Proposition
3 main types of operational risk
Contango
Zero- beta CAPM (two factor model)
5. Probability distribution is unknown (ex. A terrorist attack)
Efficient frontier
Business risks
Liquidity risk
Uncertainty
6. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Solvency-related metrics
EPD or ECOR - Expected Policyholder Deficit (EPD)
Models used in ERM framework
Asset liquidity risk
7. 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
Ten assumptions underlying CAPM
Drysdale Securities (Chase Manhattan)
Volatility Market risk
Business risks
8. Returns on any stock are linearly related to a set of indexes
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Practical considerations related to ERM implementatio
Ri = ai + bi1l1 + bi2l2....+ei
Derivative contract
9. Need to assess risk and tell management so they can determine which risks to take on
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Tax shield
Importance of communication for risk managers
Shortfall risk
10. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
CAPM assumption for EMH
Debt overhang
Settlement risk
Nonmarketable asset impact on CAPM
11. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
APT in active portfolio management
RAR = relative return of portfolio (RRp)
Risk
Market risk
12. 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
Zero- beta CAPM (two factor model)
Shape of portfolio possibilities curve
Risk Management Irrelevance Proposition
Practical considerations related to ERM implementatio
13. Volatility of unexpected outcomes
Options motivation on volatility
Treynor measure
Risk
Where is risk coming from
14. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
LTCM
Four major types of risk
3 main types of operational risk
Sharpe measure
15. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Business Risk
Practical considerations related to ERM implementatio
VaR - Value at Risk
Efficient frontier
16. Both probability and cost of tail events are considered
Effect of heterogeneous expectations on CAPM
Risk
Shortfall risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
17. Multibeta CAPM Ri - Rf =
Contango
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Uncertainty
Multi- period version of CAPM
18. 1971: Fixed Exchange rate system broke down and was replaced by more volatile floating rate - 1973: Oil price shocks - - >high inflation - - >interest rate swings - 1987: Black Monday - OCt 19 - mkt fell 23% - 1989: Japanese stock price bubble -
3 main types of operational risk
Valuation vs. Risk management
Source of need for risk management
Basis risk
19. Relative portfolio risk (RRiskp) - Based on a one- month investment period
Nonmarketable asset impact on CAPM
RAR = relative return of portfolio (RRp)
Jensen's alpha
Security (primary vs secondary)
20. Expected value of unfavorable deviations of a random variable from a specified target level
Recovery rate
CAPM assumption for EMH
BTR - Below Target Risk
Firms becoming more sensitive to changes(bank deregulation)
21. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Ri = Rz + (gamma)(beta)
Risk- adjusted performance measure (RAP)
Business risks
Ways risk can be mismeasured
22. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Formula for covariance
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Solve for minimum variance portfolio
Nonmarketable asset impact on CAPM
23. Changes in vol - implied or actual
Volatility Market risk
Debt overhang
Ten assumptions underlying CAPM
Shortfall risk
24. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Formula for covariance
Efficient frontier
Effect of heterogeneous expectations on CAPM
Credit event
25. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Uncertainty
Forms of Market risk
Solve for minimum variance portfolio
Contango
26. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Tax shield
Solvency-related metrics
Treynor measure
Debt overhang
27. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Risk
Basis
Morningstar Rating System
Differences in financial risk management for financial companies vs industrial companies
28. 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
Security (primary vs secondary)
LTCM
Roles of risk management
CAPM with taxes included (equation)
29. When two payments are exchanged the same day and one party may default after payment is made
CAPM with taxes included (equation)
Risk types addressed by ERM
Barings
Settlement risk
30. Derives value from an underlying asset - rate - or index - Derives value from a security
Performance- related metrics
Information ratio
Derivative contract
Forms of Market risk
31. 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
Information ratio
Drysdale Securities (Chase Manhattan)
Shortcomings of risk metrics
Basis risk
32. Risk of loses owing to movements in level or volatility of market prices
Sortino ratio
Firms becoming more sensitive to changes(bank deregulation)
Market risk
Three main reasons for financial disasters
33. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Credit event
APT in active portfolio management
Models used in ERM framework
Practical considerations related to ERM implementatio
34. John Rusnak - a currency option trader - produced losses of 691 million by using imaginary trades to disguise large naked positions. - Enforced need for back office controls
Risk- adjusted performance measure (RAP)
Effect of non- price- taking behavior on CAPM
Allied Irish Bank
Debt overhang
35. Asset-liability/market-liquidity risk
Debt overhang
Liquidity risk
Tracking error
Market imperfections that can create value
36. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Sharpe measure
Recovery rate
Shortfall risk
Business risks
37. Quantile of an empirical distribution
Traits of ERM
Nonparametric VaR
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Basic Market risk
38. Future price is greater than the spot price
Expected return of two assets
Risks excluded from operational risk
Ri = ai + bi1l1 + bi2l2....+ei
Contango
39. 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
Risk- adjusted performance measure (RAP)
Probability of ruin
Nonparametric VaR
Ten assumptions underlying CAPM
40. Occurs the day when two parties exchange payments same day
Performance- related metrics
Settlement risk
Debt overhang
Ways risk can be mismeasured
41. CAPM requires the strong form of the Efficient Market Hypothesis = private information
Asset transformers
CAPM assumption for EMH
CAPM with taxes included (equation)
Ri = ai + bi1l1 + bi2l2....+ei
42. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Risk Management Irrelevance Proposition
Basis
Shortfall risk
43. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Contango
CAPM (formula)
Jensen's alpha
Risk
44. Covariance = correlation coefficient std dev(a) std dev(b)
Formula for covariance
Volatility Market risk
Liquidity risk
Shortcomings of risk metrics
45. 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
Source of need for risk management
Sortino ratio
Capital market line (CML)
CAPM assumption for EMH
46. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Information ratio
Sovereign risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Risk
47. 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
Prices of risk vs sensitivity
Risk Management Irrelevance Proposition
Ways firms can fail to account for risks
Parametric VaR
48. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Barings
Banker's Trust
Performance- related metrics
Firms becoming more sensitive to changes(bank deregulation)
49. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Asset transformers
Sovereign risk
Business Risk
Recovery rate
50. Cannot exit position in market due to size of the position
APT (equation and assumptions)
LTCM
Asset liquidity risk
CAPM assumption for EMH