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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. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Capital market line (CML)
CAPM assumption for EMH
Financial risks
Market imperfections that can create value
2. Strategic risk - Business risk - Reputational risk
VaR- based analysis (formula)
Roles of risk management
Debt overhang
Risks excluded from operational risk
3. Multibeta CAPM Ri - Rf =
Morningstar Rating System
Ri = ai + bi1l1 + bi2l2....+ei
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Source of need for risk management
4. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Financial Risk
Sortino ratio
Importance of communication for risk managers
CAPM (formula)
5. 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)
Models used in ERM framework
Where is risk coming from
Expected return of two assets
6. Rp = XaRa + XbRb
Formula for covariance
Standard deviation of two assets
Expected return of two assets
Settlement risk
7. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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8. Modeling approach is typically between statistical analytic models and structural simulation models
Importance of communication for risk managers
Source of need for risk management
Models used in ERM framework
RAR = relative return of portfolio (RRp)
9. 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
Forms of Market risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
APT for passive portfolio management
10. When two payments are exchanged the same day and one party may default after payment is made
Debt overhang
Contango
Models used in ERM framework
Settlement risk
11. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Ways firms can fail to account for risks
Models used in ERM framework
Debt overhang
Uncertainty
12. Concave function that extends from minimum variance portfolio to maximum return portfolio
Morningstar Rating System
Efficient frontier
Uncertainty
Nonmarketable asset impact on CAPM
13. 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
Risk
Settlement risk
Information ratio
APT for passive portfolio management
14. 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
Ri = Rz + (gamma)(beta)
CAPM assumption for EMH
Correlation coefficient effect on diversification
15. Inability to make payment obligations (ex. Margin calls)
Differences in financial risk management for financial companies vs industrial companies
CAPM (formula)
Effect of heterogeneous expectations on CAPM
Funding liquidity risk
16. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Performance- related metrics
Differences in financial risk management for financial companies vs industrial companies
Recovery rate
APT in active portfolio management
17. Asses firm risks - Communicate risks - Manage and monitor risks
Roles of risk management
Standard deviation of two assets
Derivative contract
Zero- beta CAPM (two factor model)
18. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Firms becoming more sensitive to changes(bank deregulation)
Risk Management Irrelevance Proposition
Sortino ratio
Valuation vs. Risk management
19. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Contango
Effect of heterogeneous expectations on CAPM
Options motivation on volatility
APT (equation and assumptions)
20. Both probability and cost of tail events are considered
Tail VaR or TCE - Tail Conditional Expectation(TCE)
CAPM assumption for EMH
Capital market line (CML)
Debt overhang
21. 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
Shortfall risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Capital market line (CML)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
22. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Recovery rate
Efficient frontier
Effect of non- price- taking behavior on CAPM
Banker's Trust
23. 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
Practical considerations related to ERM implementatio
Sovereign risk
Allied Irish Bank
VaR- based analysis (formula)
24. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Solvency-related metrics
Where is risk coming from
Sharpe measure
Debt overhang
25. Covariance = correlation coefficient std dev(a) std dev(b)
Basis
Efficient frontier
Ways firms can fail to account for risks
Formula for covariance
26. 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
Business Risk
Basic Market risk
Ten assumptions underlying CAPM
Traits of ERM
27. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Nonmarketable asset impact on CAPM
Four major types of risk
Forms of Market risk
Basis risk
28. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ri = Rz + (gamma)(beta)
Liquidity risk
Sharpe measure
APT (equation and assumptions)
29. Curve must be concave - Straight line connecting any two points must be under the curve
Capital market line (CML)
Shape of portfolio possibilities curve
Business risks
Security (primary vs secondary)
30. 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
Importance of communication for risk managers
Basis
Ri = ai + bi1l1 + bi2l2....+ei
31. 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
Probability of ruin
Effect of non- price- taking behavior on CAPM
Sortino ratio
Asset liquidity risk
32. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Asset transformers
Models used in ERM framework
Formula for covariance
Jensen's alpha
33. 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
Banker's Trust
Business risks
Nonmarketable asset impact on CAPM
34. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Settlement risk
Tax shield
Recovery rate
Kidder Peabody
35. 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
Morningstar Rating System
Risks excluded from operational risk
APT (equation and assumptions)
Business Risk
36. The uses of debt to fall into a lower tax rate
EPD or ECOR - Expected Policyholder Deficit (EPD)
Drysdale Securities (Chase Manhattan)
Tax shield
CAPM with taxes included (equation)
37. Probability distribution is unknown (ex. A terrorist attack)
Ri = Rz + (gamma)(beta)
Forms of Market risk
Uncertainty
Probability of ruin
38. 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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39. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Contango
APT for passive portfolio management
Debt overhang
Capital market line (CML)
40. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Effect of non- price- taking behavior on CAPM
Risk
Risk- adjusted performance measure (RAP)
3 main types of operational risk
41. Future price is greater than the spot price
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Contango
Kidder Peabody
Solve for minimum variance portfolio
42. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Nonmarketable asset impact on CAPM
3 main types of operational risk
Tracking error
Market imperfections that can create value
43. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Solve for minimum variance portfolio
Basis risk
Options motivation on volatility
Shortcomings of risk metrics
44. Potential amount that can be lost
Risk Management Irrelevance Proposition
Risk types addressed by ERM
Exposure
EPD or ECOR - Expected Policyholder Deficit (EPD)
45. 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
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Multi- period version of CAPM
Ri = Rz + (gamma)(beta)
46. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Forms of Market risk
Business risks
EPD or ECOR - Expected Policyholder Deficit (EPD)
VaR- based analysis (formula)
47. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
EPD or ECOR - Expected Policyholder Deficit (EPD)
Probability of ruin
Roles of risk management
CAPM (formula)
48. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Roles of risk management
Effect of heterogeneous expectations on CAPM
Firms becoming more sensitive to changes(bank deregulation)
Information ratio
49. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
APT in active portfolio management
Exposure
LTCM
Business risks
50. Return is linearly related to growth rate in consumption
Multi- period version of CAPM
Asset transformers
Nonmarketable asset impact on CAPM
Valuation vs. Risk management