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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.
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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. Return is linearly related to growth rate in consumption
Multi- period version of CAPM
Solvency-related metrics
Settlement risk
Firms becoming more sensitive to changes(bank deregulation)
2. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Allied Irish Bank
Effect of non- price- taking behavior on CAPM
VaR- based analysis (formula)
Operational risk
3. 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
Models used in ERM framework
Shortcomings of risk metrics
Tax shield
Effect of heterogeneous expectations on CAPM
4. Unanticipated movements in relative prices of assets in hedged position
Basic Market risk
Financial Risk
Four major types of risk
Multi- period version of CAPM
5. 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
Formula for covariance
Operational risk
Multi- period version of CAPM
Probability of ruin
6. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Options motivation on volatility
Zero- beta CAPM (two factor model)
Morningstar Rating System
Firms becoming more sensitive to changes(bank deregulation)
7. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Market imperfections that can create value
Security (primary vs secondary)
Asset transformers
Credit event
8. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
CAPM (formula)
Models used in ERM framework
Differences in financial risk management for financial companies vs industrial companies
Contango
9. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Risk
Banker's Trust
Options motivation on volatility
Risk- adjusted performance measure (RAP)
10. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Practical considerations related to ERM implementatio
Risk Management Irrelevance Proposition
CAPM with taxes included (equation)
Ri = Rz + (gamma)(beta)
11. 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.
APT (equation and assumptions)
Risk Management Irrelevance Proposition
Allied Irish Bank
Basis
12. Rp = XaRa + XbRb
Risk
Risk- adjusted performance measure (RAP)
Expected return of two assets
Performance- related metrics
13. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
CAPM (formula)
APT in active portfolio management
Settlement risk
Financial Risk
14. CAPM requires the strong form of the Efficient Market Hypothesis = private information
CAPM assumption for EMH
Operational risk
Tax shield
BTR - Below Target Risk
15. Changes in vol - implied or actual
Volatility Market risk
Sharpe measure
Expected return of two assets
Multi- period version of CAPM
16. 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)
CAPM (formula)
Four major types of risk
Ri = ai + bi1l1 + bi2l2....+ei
17. 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
BTR - Below Target Risk
Barings
Solve for minimum variance portfolio
Capital market line (CML)
18. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Standard deviation of two assets
Tail VaR or TCE - Tail Conditional Expectation(TCE)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Solvency-related metrics
19. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Market imperfections that can create value
Debt overhang
Financial Risk
Sortino ratio
20. 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
Risk- adjusted performance measure (RAP)
Ways risk can be mismeasured
Ways firms can fail to account for risks
Traits of ERM
21. Quantile of a statistical distribution
Contango
Kidder Peabody
Parametric VaR
Basis risk
22. Those which corporations assume whillingly to create competitive advantage/add shareholder value - Business Decisions: investment decisions - prod - dev choices - marketing strategies - organizational struct. - Business Environment: competitive and
Importance of communication for risk managers
Allied Irish Bank
Business Risk
Barings
23. 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
VaR- based analysis (formula)
LTCM
APT for passive portfolio management
Basic Market risk
24. Quantile of an empirical distribution
Shortfall risk
Capital market line (CML)
Nonparametric VaR
Jensen's alpha
25. Strategic risk - Business risk - Reputational risk
Financial Risk
Allied Irish Bank
Morningstar Rating System
Risks excluded from operational risk
26. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Kidder Peabody
Asset transformers
Settlement risk
Debt overhang
27. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Information ratio
Traits of ERM
Asset transformers
Roles of risk management
28. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Performance- related metrics
Debt overhang
Business Risk
Ways firms can fail to account for risks
29. Valuation focuses on mean of distribution vs risk mgmt focuses on potential variation in payoffs - needs more precision for pricing - VAR doesn't b/c noise cancels out
Allied Irish Bank
3 main types of operational risk
Traits of ERM
Valuation vs. Risk management
30. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Funding liquidity risk
Tracking error
APT for passive portfolio management
Tail VaR or TCE - Tail Conditional Expectation(TCE)
31. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Efficient frontier
Solvency-related metrics
Information ratio
Ri = ai + bi1l1 + bi2l2....+ei
32. 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
Uncertainty
Risk- adjusted performance measure (RAP)
Basis
33. Probability that a random variable falls below a specified threshold level
Efficient frontier
Shortfall risk
Risk
Business Risk
34. 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
Recovery rate
Debt overhang
Risks excluded from operational risk
35. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Financial Risk
Uncertainty
Capital market line (CML)
Nonmarketable asset impact on CAPM
36. 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
Importance of communication for risk managers
Volatility Market risk
37. 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
Correlation coefficient effect on diversification
Information ratio
Efficient frontier
Allied Irish Bank
38. Derives value from an underlying asset - rate - or index - Derives value from a security
Standard deviation of two assets
Forms of Market risk
Derivative contract
Debt overhang
39. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
What lead to the exponential growth to derivatives mkt?
Basis
Contango
Solve for minimum variance portfolio
40. Inability to make payment obligations (ex. Margin calls)
Standard deviation of two assets
Nonparametric VaR
Funding liquidity risk
Barings
41. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Sortino ratio
Zero- beta CAPM (two factor model)
Banker's Trust
Exposure
42. Returns on any stock are linearly related to a set of indexes
Valuation vs. Risk management
Probability of ruin
Ri = ai + bi1l1 + bi2l2....+ei
BTR - Below Target Risk
43. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Risk
Parametric VaR
Debt overhang
Sharpe measure
44. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Effect of heterogeneous expectations on CAPM
EPD or ECOR - Expected Policyholder Deficit (EPD)
Tax shield
Business Risk
45. Concave function that extends from minimum variance portfolio to maximum return portfolio
CAPM assumption for EMH
Risk Management Irrelevance Proposition
Efficient frontier
Derivative contract
46. 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
Sharpe measure
LTCM
Three main reasons for financial disasters
CAPM assumption for EMH
47. Modeling approach is typically between statistical analytic models and structural simulation models
Models used in ERM framework
Risk Management Irrelevance Proposition
Liquidity risk
Zero- beta CAPM (two factor model)
48. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Valuation vs. Risk management
3 main types of operational risk
Market risk
Where is risk coming from
49. 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
Jensen's alpha
Effect of heterogeneous expectations on CAPM
Barings
Traits of ERM
50. 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
Market imperfections that can create value
Ri = Rz + (gamma)(beta)
Practical considerations related to ERM implementatio
Volatility Market risk