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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. Interest rate movements - derivatives - defaults
Solve for minimum variance portfolio
Treynor measure
Roles of risk management
Financial Risk
2. 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
BTR - Below Target Risk
Ways firms can fail to account for risks
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Uncertainty
3. Return is linearly related to growth rate in consumption
Multi- period version of CAPM
Allied Irish Bank
CAPM assumption for EMH
VaR- based analysis (formula)
4. Curve must be concave - Straight line connecting any two points must be under the curve
Performance- related metrics
RAR = relative return of portfolio (RRp)
Shape of portfolio possibilities curve
Funding liquidity risk
5. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Prices of risk vs sensitivity
Models used in ERM framework
CAPM (formula)
Probability of ruin
6. Derives value from an underlying asset - rate - or index - Derives value from a security
Kidder Peabody
Derivative contract
Where is risk coming from
EPD or ECOR - Expected Policyholder Deficit (EPD)
7. Wrong distribution - Historical sample may not apply
Jensen's alpha
Ways risk can be mismeasured
Formula for covariance
APT in active portfolio management
8. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Uncertainty
Where is risk coming from
Ri = ai + bi1l1 + bi2l2....+ei
Debt overhang
9. When two payments are exchanged the same day and one party may default after payment is made
LTCM
Zero- beta CAPM (two factor model)
Settlement risk
Risk- adjusted performance measure (RAP)
10. The uses of debt to fall into a lower tax rate
Firms becoming more sensitive to changes(bank deregulation)
Financial Risk
Tax shield
Formula for covariance
11. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Security (primary vs secondary)
Tax shield
Zero- beta CAPM (two factor model)
Importance of communication for risk managers
12. 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
Capital market line (CML)
Operational risk
Funding liquidity risk
Risk
13. Rp = XaRa + XbRb
Capital market line (CML)
Forms of Market risk
Basis risk
Expected return of two assets
14. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Importance of communication for risk managers
Asset transformers
Formula for covariance
Sharpe measure
15. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Risk types addressed by ERM
Business Risk
Ways firms can fail to account for risks
Treynor measure
16. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
RAR = relative return of portfolio (RRp)
VaR- based analysis (formula)
Basic Market risk
Morningstar Rating System
17. The need to hedge against risks - for firms need to speculate.
Effect of non- price- taking behavior on CAPM
Risks excluded from operational risk
What lead to the exponential growth to derivatives mkt?
BTR - Below Target Risk
18. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Capital market line (CML)
LTCM
Firms becoming more sensitive to changes(bank deregulation)
Practical considerations related to ERM implementatio
19. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
VaR - Value at Risk
Standard deviation of two assets
Business Risk
Morningstar Rating System
20. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
3 main types of operational risk
Source of need for risk management
BTR - Below Target Risk
Correlation coefficient effect on diversification
21. Hazard - Financial - Operational - Strategic
Formula for covariance
Risk types addressed by ERM
Source of need for risk management
Market risk
22. CAPM requires the strong form of the Efficient Market Hypothesis = private information
Drysdale Securities (Chase Manhattan)
Derivative contract
CAPM with taxes included (equation)
CAPM assumption for EMH
23. 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 -
Liquidity risk
Kidder Peabody
Source of need for risk management
Volatility Market risk
24. Losses due to market activities ex. Interest rate changes or defaults
Business risks
Financial risks
What lead to the exponential growth to derivatives mkt?
Shape of portfolio possibilities curve
25. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Recovery rate
CAPM assumption for EMH
Business risks
Formula for covariance
26. Prices of risk are common factors and do not change - Sensitivities can change
Prices of risk vs sensitivity
Allied Irish Bank
Treynor measure
Nonmarketable asset impact on CAPM
27. 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
Tax shield
Roles of risk management
Operational risk
Allied Irish Bank
28. 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
Practical considerations related to ERM implementatio
Basic Market risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Traits of ERM
29. Cannot exit position in market due to size of the position
Tracking error
RAR = relative return of portfolio (RRp)
Settlement risk
Asset liquidity risk
30. Quantile of a statistical distribution
RAR = relative return of portfolio (RRp)
APT (equation and assumptions)
Operational risk
Parametric VaR
31. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Information ratio
Debt overhang
Solvency-related metrics
Uncertainty
32. Quantile of an empirical distribution
Barings
Nonparametric VaR
Capital market line (CML)
Security (primary vs secondary)
33. 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
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Sortino ratio
Business risks
Shortcomings of risk metrics
34. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Nonparametric VaR
Operational risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
Business risks
35. Modeling approach is typically between statistical analytic models and structural simulation models
Business risks
Market imperfections that can create value
Models used in ERM framework
Information ratio
36. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Nonmarketable asset impact on CAPM
Four major types of risk
VaR - Value at Risk
Differences in financial risk management for financial companies vs industrial companies
37. Concave function that extends from minimum variance portfolio to maximum return portfolio
CAPM (formula)
BTR - Below Target Risk
Basis risk
Efficient frontier
38. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Jensen's alpha
LTCM
Three main reasons for financial disasters
Effect of heterogeneous expectations on CAPM
39. Asses firm risks - Communicate risks - Manage and monitor risks
Sharpe measure
APT (equation and assumptions)
Roles of risk management
Security (primary vs secondary)
40. Relative portfolio risk (RRiskp) - Based on a one- month investment period
Prices of risk vs sensitivity
3 main types of operational risk
Financial Risk
RAR = relative return of portfolio (RRp)
41. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Uncertainty
Ri = Rz + (gamma)(beta)
Prices of risk vs sensitivity
Carry- backs and carry- forwards
42. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Standard deviation of two assets
Information ratio
Drysdale Securities (Chase Manhattan)
Liquidity risk
43. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Allied Irish Bank
Zero- beta CAPM (two factor model)
VaR - Value at Risk
3 main types of operational risk
44. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Ri = Rz + (gamma)(beta)
Asset liquidity risk
Solve for minimum variance portfolio
Credit event
45. 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
Multi- period version of CAPM
Allied Irish Bank
Information ratio
46. Unanticipated movements in relative prices of assets in hedged position
Risk
Basis risk
Ways firms can fail to account for risks
Basic Market risk
47. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Shape of portfolio possibilities curve
Treynor measure
VaR - Value at Risk
Tracking error
48. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Information ratio
BTR - Below Target Risk
Carry- backs and carry- forwards
Uncertainty
49. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Sovereign risk
RAR = relative return of portfolio (RRp)
Efficient frontier
Options motivation on volatility
50. Risk of loses owing to movements in level or volatility of market prices
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Tax shield
Market risk
Tracking error