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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. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Sharpe measure
Multi- period version of CAPM
Recovery rate
CAPM with taxes included (equation)
2. The need to hedge against risks - for firms need to speculate.
Importance of communication for risk managers
LTCM
What lead to the exponential growth to derivatives mkt?
APT (equation and assumptions)
3. Asses firm risks - Communicate risks - Manage and monitor risks
Parametric VaR
Options motivation on volatility
Roles of risk management
Formula for covariance
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
3 main types of operational risk
Capital market line (CML)
Formula for covariance
Probability of ruin
5. Covariance = correlation coefficient std dev(a) std dev(b)
Basis
Formula for covariance
Carry- backs and carry- forwards
Basis risk
6. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
LTCM
Solve for minimum variance portfolio
Market risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
7. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Credit event
Options motivation on volatility
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
VaR- based analysis (formula)
8. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Nonmarketable asset impact on CAPM
Practical considerations related to ERM implementatio
Sortino ratio
Ways risk can be mismeasured
9. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Effect of non- price- taking behavior on CAPM
Risk
Risk types addressed by ERM
Where is risk coming from
10. 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
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Contango
Ten assumptions underlying CAPM
Risks excluded from operational risk
11. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Treynor measure
Roles of risk management
Solvency-related metrics
Jensen's alpha
12. The uses of debt to fall into a lower tax rate
EPD or ECOR - Expected Policyholder Deficit (EPD)
Tax shield
Practical considerations related to ERM implementatio
Risk types addressed by ERM
13. Probability that a random variable falls below a specified threshold level
Formula for covariance
Shortfall risk
Jensen's alpha
Roles of risk management
14. Occurs the day when two parties exchange payments same day
VaR- based analysis (formula)
Banker's Trust
Risk
Settlement risk
15. Unanticipated movements in relative prices of assets in hedged position
EPD or ECOR - Expected Policyholder Deficit (EPD)
Funding liquidity risk
Basic Market risk
Effect of heterogeneous expectations on CAPM
16. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Risk
Zero- beta CAPM (two factor model)
Asset transformers
Efficient frontier
17. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Contango
Source of need for risk management
Derivative contract
Differences in financial risk management for financial companies vs industrial companies
18. Changes in vol - implied or actual
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Volatility Market risk
Ten assumptions underlying CAPM
Effect of non- price- taking behavior on CAPM
19. Wrong distribution - Historical sample may not apply
Risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Ways risk can be mismeasured
Volatility Market risk
20. Rp = XaRa + XbRb
Forms of Market risk
Sharpe measure
Expected return of two assets
Practical considerations related to ERM implementatio
21. Probability distribution is unknown (ex. A terrorist attack)
Sharpe measure
Zero- beta CAPM (two factor model)
Uncertainty
Kidder Peabody
22. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Zero- beta CAPM (two factor model)
Asset transformers
Shortcomings of risk metrics
Formula for covariance
23. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Business risks
Valuation vs. Risk management
Nonmarketable asset impact on CAPM
APT (equation and assumptions)
24. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
VaR - Value at Risk
Options motivation on volatility
Recovery rate
Effect of non- price- taking behavior on CAPM
25. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Standard deviation of two assets
Banker's Trust
Effect of heterogeneous expectations on CAPM
Information ratio
26. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Market risk
Shape of portfolio possibilities curve
Market imperfections that can create value
Settlement risk
27. Losses due to market activities ex. Interest rate changes or defaults
Barings
Standard deviation of two assets
Financial risks
Financial Risk
28. Multibeta CAPM Ri - Rf =
Sovereign risk
Probability of ruin
Shortcomings of risk metrics
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
29. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Efficient frontier
Three main reasons for financial disasters
VaR - Value at Risk
Jensen's alpha
30. 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
Prices of risk vs sensitivity
Valuation vs. Risk management
Morningstar Rating System
Allied Irish Bank
31. When two payments are exchanged the same day and one party may default after payment is made
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Settlement risk
Traits of ERM
What lead to the exponential growth to derivatives mkt?
32. 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
Nonparametric VaR
Practical considerations related to ERM implementatio
Financial Risk
LTCM
33. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Tax shield
Derivative contract
Effect of heterogeneous expectations on CAPM
Probability of ruin
34. Law of one price - Homogeneous expectations - Security returns process
Financial Risk
APT (equation and assumptions)
Asset transformers
Risk
35. Returns on any stock are linearly related to a set of indexes
Prices of risk vs sensitivity
Morningstar Rating System
Information ratio
Ri = ai + bi1l1 + bi2l2....+ei
36. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Uncertainty
Tracking error
Contango
Shortfall risk
37. Derives value from an underlying asset - rate - or index - Derives value from a security
Market risk
Risk- adjusted performance measure (RAP)
Options motivation on volatility
Derivative contract
38. 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
Standard deviation of two assets
Allied Irish Bank
What lead to the exponential growth to derivatives mkt?
Tail VaR or TCE - Tail Conditional Expectation(TCE)
39. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Shortcomings of risk metrics
Debt overhang
Carry- backs and carry- forwards
Settlement risk
40. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Effect of heterogeneous expectations on CAPM
Solvency-related metrics
APT (equation and assumptions)
Three main reasons for financial disasters
41. Expected value of unfavorable deviations of a random variable from a specified target level
Asset liquidity risk
APT (equation and assumptions)
3 main types of operational risk
BTR - Below Target Risk
42. Quantile of an empirical distribution
Market risk
APT for passive portfolio management
Performance- related metrics
Nonparametric VaR
43. 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)
Debt overhang
Ways risk can be mismeasured
Ri = ai + bi1l1 + bi2l2....+ei
44. Need to assess risk and tell management so they can determine which risks to take on
Business risks
Solvency-related metrics
Sharpe measure
Importance of communication for risk managers
45. 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
Forms of Market risk
Solve for minimum variance portfolio
APT for passive portfolio management
Risk types addressed by ERM
46. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Efficient frontier
Uncertainty
VaR- based analysis (formula)
Risk
47. 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
Business Risk
Differences in financial risk management for financial companies vs industrial companies
Capital market line (CML)
Exposure
48. Strategic risk - Business risk - Reputational risk
Risks excluded from operational risk
Security (primary vs secondary)
Market risk
Four major types of risk
49. 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
Valuation vs. Risk management
What lead to the exponential growth to derivatives mkt?
Shortcomings of risk metrics
Treynor measure
50. Asset-liability/market-liquidity risk
Drysdale Securities (Chase Manhattan)
Liquidity risk
Correlation coefficient effect on diversification
CAPM (formula)