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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. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Financial risks
Recovery rate
EPD or ECOR - Expected Policyholder Deficit (EPD)
Business Risk
2. CAPM requires the strong form of the Efficient Market Hypothesis = private information
APT (equation and assumptions)
CAPM assumption for EMH
Firms becoming more sensitive to changes(bank deregulation)
Financial risks
3. Probability distribution is unknown (ex. A terrorist attack)
Uncertainty
Recovery rate
Tax shield
Capital market line (CML)
4. Modeling approach is typically between statistical analytic models and structural simulation models
Models used in ERM framework
Options motivation on volatility
Ri = ai + bi1l1 + bi2l2....+ei
Tail VaR or TCE - Tail Conditional Expectation(TCE)
5. Changes in vol - implied or actual
Settlement risk
Volatility Market risk
Kidder Peabody
Options motivation on volatility
6. The uses of debt to fall into a lower tax rate
Tax shield
APT in active portfolio management
Differences in financial risk management for financial companies vs industrial companies
Risk types addressed by ERM
7. Hazard - Financial - Operational - Strategic
Risk types addressed by ERM
Zero- beta CAPM (two factor model)
Shortcomings of risk metrics
VaR- based analysis (formula)
8. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Market imperfections that can create value
Risk Management Irrelevance Proposition
Exposure
VaR - Value at Risk
9. 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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10. 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
BTR - Below Target Risk
Banker's Trust
LTCM
Settlement risk
11. Inability to make payment obligations (ex. Margin calls)
Basic Market risk
Capital market line (CML)
Funding liquidity risk
Derivative contract
12. Concave function that extends from minimum variance portfolio to maximum return portfolio
Efficient frontier
Basic Market risk
Risks excluded from operational risk
Practical considerations related to ERM implementatio
13. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Risk- adjusted performance measure (RAP)
Risk
What lead to the exponential growth to derivatives mkt?
VaR- based analysis (formula)
14. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Where is risk coming from
Risk
3 main types of operational risk
15. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
EPD or ECOR - Expected Policyholder Deficit (EPD)
Credit event
Kidder Peabody
Practical considerations related to ERM implementatio
16. Quantile of an empirical distribution
Nonparametric VaR
Tax shield
Jensen's alpha
Ri = ai + bi1l1 + bi2l2....+ei
17. Relative portfolio risk (RRiskp) - Based on a one- month investment period
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Multi- period version of CAPM
RAR = relative return of portfolio (RRp)
Effect of heterogeneous expectations on CAPM
18. 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
Morningstar Rating System
Settlement risk
Capital market line (CML)
Valuation vs. Risk management
19. Rp = XaRa + XbRb
Risk- adjusted performance measure (RAP)
LTCM
Information ratio
Expected return of two assets
20. The lower (closer to - 1) - the higher the payoff from diversification
Exposure
Correlation coefficient effect on diversification
Basis
Importance of communication for risk managers
21. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Roles of risk management
Options motivation on volatility
EPD or ECOR - Expected Policyholder Deficit (EPD)
Contango
22. Losses due to market activities ex. Interest rate changes or defaults
Banker's Trust
Recovery rate
Financial risks
APT (equation and assumptions)
23. Asses firm risks - Communicate risks - Manage and monitor risks
Roles of risk management
Effect of heterogeneous expectations on CAPM
CAPM with taxes included (equation)
Sharpe measure
24. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Zero- beta CAPM (two factor model)
Barings
Options motivation on volatility
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
25. Volatility of unexpected outcomes
Credit event
Shape of portfolio possibilities curve
Risk
3 main types of operational risk
26. Returns on any stock are linearly related to a set of indexes
APT (equation and assumptions)
Information ratio
Ri = ai + bi1l1 + bi2l2....+ei
Sovereign risk
27. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Risk types addressed by ERM
Capital market line (CML)
Operational risk
Effect of heterogeneous expectations on CAPM
28. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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29. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Ri = Rz + (gamma)(beta)
Correlation coefficient effect on diversification
Treynor measure
EPD or ECOR - Expected Policyholder Deficit (EPD)
30. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Debt overhang
Recovery rate
Market imperfections that can create value
Exposure
31. Wrong distribution - Historical sample may not apply
Ways risk can be mismeasured
Four major types of risk
Asset transformers
Treynor measure
32. When negative taxable income is moved to a different year to offset future or past taxable income
Expected return of two assets
Carry- backs and carry- forwards
Ri = Rz + (gamma)(beta)
Tracking error
33. 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.
Business risks
Valuation vs. Risk management
Solvency-related metrics
Risk Management Irrelevance Proposition
34. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Risk
Security (primary vs secondary)
Recovery rate
Shape of portfolio possibilities curve
35. 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
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Solvency-related metrics
Allied Irish Bank
Banker's Trust
36. 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
Banker's Trust
Shortcomings of risk metrics
Debt overhang
Liquidity risk
37. Quantile of a statistical distribution
Effect of non- price- taking behavior on CAPM
Parametric VaR
Practical considerations related to ERM implementatio
Standard deviation of two assets
38. Curve must be concave - Straight line connecting any two points must be under the curve
CAPM with taxes included (equation)
Source of need for risk management
Shape of portfolio possibilities curve
Options motivation on volatility
39. Derives value from an underlying asset - rate - or index - Derives value from a security
APT (equation and assumptions)
Drysdale Securities (Chase Manhattan)
Derivative contract
Market imperfections that can create value
40. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ri = Rz + (gamma)(beta)
Debt overhang
Solve for minimum variance portfolio
Parametric VaR
41. Joseph Jett exploited an accounting glitch to book 350 million of false profits (government bonds) - Massive misreporting resulted in loss of confidence in management - Failed to take into account the present value of a forward - Learn to investigate
Probability of ruin
Financial risks
Kidder Peabody
Basis risk
42. Absolute and relative risk - direction and non-directional
Source of need for risk management
Shortcomings of risk metrics
Forms of Market risk
Roles of risk management
43. Probability that a random variable falls below a specified threshold level
Nonparametric VaR
Shortfall risk
Volatility Market risk
Formula for covariance
44. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Risk
Carry- backs and carry- forwards
Information ratio
Ri = ai + bi1l1 + bi2l2....+ei
45. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Three main reasons for financial disasters
Performance- related metrics
Risk
Sortino ratio
46. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Solve for minimum variance portfolio
Contango
APT (equation and assumptions)
Firms becoming more sensitive to changes(bank deregulation)
47. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
VaR- based analysis (formula)
Nonmarketable asset impact on CAPM
What lead to the exponential growth to derivatives mkt?
Solvency-related metrics
48. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Multi- period version of CAPM
Effect of non- price- taking behavior on CAPM
Treynor measure
Barings
49. Market risk - Liquidity risk - Credit risk - Operational risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Practical considerations related to ERM implementatio
Four major types of risk
Settlement risk
50. 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
Shortfall risk
Business Risk
Risk
Effect of non- price- taking behavior on CAPM