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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. Asses firm risks - Communicate risks - Manage and monitor risks
Roles of risk management
Parametric VaR
Market risk
Carry- backs and carry- forwards
2. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Sovereign risk
Allied Irish Bank
Effect of non- price- taking behavior on CAPM
Multi- period version of CAPM
3. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Uncertainty
Capital market line (CML)
Valuation vs. Risk management
Solve for minimum variance portfolio
4. Curve must be concave - Straight line connecting any two points must be under the curve
Correlation coefficient effect on diversification
Shape of portfolio possibilities curve
Funding liquidity risk
Barings
5. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
LTCM
Sharpe measure
Recovery rate
Formula for covariance
6. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
3 main types of operational risk
Sortino ratio
Where is risk coming from
VaR - Value at Risk
7. 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
Source of need for risk management
Allied Irish Bank
Funding liquidity risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
8. Quantile of an empirical distribution
Jensen's alpha
Nonparametric VaR
Performance- related metrics
Debt overhang
9. The lower (closer to - 1) - the higher the payoff from diversification
APT for passive portfolio management
Recovery rate
Settlement risk
Correlation coefficient effect on diversification
10. The uses of debt to fall into a lower tax rate
Valuation vs. Risk management
Tax shield
Expected return of two assets
Drysdale Securities (Chase Manhattan)
11. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Four major types of risk
CAPM (formula)
Liquidity risk
Solvency-related metrics
12. 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 -
Source of need for risk management
APT (equation and assumptions)
Credit event
Forms of Market risk
13. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
What lead to the exponential growth to derivatives mkt?
Debt overhang
Zero- beta CAPM (two factor model)
Business risks
14. 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
Traits of ERM
Three main reasons for financial disasters
Forms of Market risk
Barings
15. Strategic risk - Business risk - Reputational risk
Effect of non- price- taking behavior on CAPM
Risks excluded from operational risk
What lead to the exponential growth to derivatives mkt?
Correlation coefficient effect on diversification
16. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Debt overhang
Effect of heterogeneous expectations on CAPM
Treynor measure
Ri = ai + bi1l1 + bi2l2....+ei
17. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
What lead to the exponential growth to derivatives mkt?
Sovereign risk
CAPM with taxes included (equation)
Basis
18. 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
Credit event
Importance of communication for risk managers
Prices of risk vs sensitivity
LTCM
19. 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.
Options motivation on volatility
Recovery rate
Risk Management Irrelevance Proposition
Probability of ruin
20. 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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21. Expected value of unfavorable deviations of a random variable from a specified target level
Importance of communication for risk managers
Credit event
Kidder Peabody
BTR - Below Target Risk
22. Both probability and cost of tail events are considered
Jensen's alpha
Efficient frontier
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Basic Market risk
23. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Tracking error
APT in active portfolio management
Operational risk
Source of need for risk management
24. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Sharpe measure
Firms becoming more sensitive to changes(bank deregulation)
3 main types of operational risk
Information ratio
25. Law of one price - Homogeneous expectations - Security returns process
Operational risk
APT (equation and assumptions)
Sortino ratio
Performance- related metrics
26. 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
Effect of heterogeneous expectations on CAPM
Risk- adjusted performance measure (RAP)
Security (primary vs secondary)
Business Risk
27. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Risk- adjusted performance measure (RAP)
Shape of portfolio possibilities curve
Options motivation on volatility
Formula for covariance
28. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Security (primary vs secondary)
Zero- beta CAPM (two factor model)
Capital market line (CML)
Financial Risk
29. Derives value from an underlying asset - rate - or index - Derives value from a security
Nonparametric VaR
APT in active portfolio management
Derivative contract
Effect of non- price- taking behavior on CAPM
30. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Traits of ERM
Security (primary vs secondary)
Sortino ratio
31. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Sortino ratio
Source of need for risk management
Allied Irish Bank
Standard deviation of two assets
32. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Where is risk coming from
Risk types addressed by ERM
Three main reasons for financial disasters
Sortino ratio
33. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
VaR - Value at Risk
Debt overhang
Basis risk
Ten assumptions underlying CAPM
34. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Solvency-related metrics
Volatility Market risk
Uncertainty
Practical considerations related to ERM implementatio
35. 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
Formula for covariance
Practical considerations related to ERM implementatio
Asset liquidity risk
VaR- based analysis (formula)
36. Covariance = correlation coefficient std dev(a) std dev(b)
Jensen's alpha
Funding liquidity risk
Shortcomings of risk metrics
Formula for covariance
37. Return is linearly related to growth rate in consumption
Exposure
Multi- period version of CAPM
Ri = ai + bi1l1 + bi2l2....+ei
Financial risks
38. Losses due to market activities ex. Interest rate changes or defaults
Multi- period version of CAPM
Financial risks
Standard deviation of two assets
Volatility Market risk
39. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Security (primary vs secondary)
BTR - Below Target Risk
Effect of heterogeneous expectations on CAPM
Financial risks
40. Multibeta CAPM Ri - Rf =
Derivative contract
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Parametric VaR
Solvency-related metrics
41. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Uncertainty
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Options motivation on volatility
Information ratio
42. When two payments are exchanged the same day and one party may default after payment is made
Importance of communication for risk managers
Settlement risk
Shape of portfolio possibilities curve
Treynor measure
43. Concave function that extends from minimum variance portfolio to maximum return portfolio
Efficient frontier
Zero- beta CAPM (two factor model)
Risks excluded from operational risk
Recovery rate
44. Cannot exit position in market due to size of the position
Security (primary vs secondary)
Solvency-related metrics
Asset liquidity risk
CAPM assumption for EMH
45. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Recovery rate
Risks excluded from operational risk
Ways firms can fail to account for risks
Ways risk can be mismeasured
46. The need to hedge against risks - for firms need to speculate.
APT in active portfolio management
What lead to the exponential growth to derivatives mkt?
Probability of ruin
Debt overhang
47. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Operational risk
Correlation coefficient effect on diversification
Risk
Capital market line (CML)
48. Asset-liability/market-liquidity risk
Where is risk coming from
Liquidity risk
Risk types addressed by ERM
LTCM
49. Inability to make payment obligations (ex. Margin calls)
Sovereign risk
Risk- adjusted performance measure (RAP)
Allied Irish Bank
Funding liquidity risk
50. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Probability of ruin
BTR - Below Target Risk
VaR - Value at Risk
Contango