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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. 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
Market risk
Capital market line (CML)
Debt overhang
Risk
2. Wrong distribution - Historical sample may not apply
Liquidity risk
Allied Irish Bank
Carry- backs and carry- forwards
Ways risk can be mismeasured
3. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Risk Management Irrelevance Proposition
Options motivation on volatility
Where is risk coming from
Capital market line (CML)
4. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Sovereign risk
Importance of communication for risk managers
Basis
Debt overhang
5. Risk of loses owing to movements in level or volatility of market prices
Market risk
Carry- backs and carry- forwards
Volatility Market risk
Expected return of two assets
6. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Basis risk
Tracking error
Funding liquidity risk
Nonmarketable asset impact on CAPM
7. Volatility of unexpected outcomes
Debt overhang
Asset transformers
EPD or ECOR - Expected Policyholder Deficit (EPD)
Risk
8. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
9. Derives value from an underlying asset - rate - or index - Derives value from a security
Derivative contract
Differences in financial risk management for financial companies vs industrial companies
Ten assumptions underlying CAPM
Shortcomings of risk metrics
10. Potential amount that can be lost
Exposure
Sortino ratio
Parametric VaR
APT (equation and assumptions)
11. The lower (closer to - 1) - the higher the payoff from diversification
Asset transformers
Sovereign risk
Uncertainty
Correlation coefficient effect on diversification
12. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Risk- adjusted performance measure (RAP)
CAPM (formula)
Standard deviation of two assets
Security (primary vs secondary)
13. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Derivative contract
Three main reasons for financial disasters
Risk types addressed by ERM
Carry- backs and carry- forwards
14. 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
Asset transformers
Ri = ai + bi1l1 + bi2l2....+ei
Business Risk
Tax shield
15. Inability to make payment obligations (ex. Margin calls)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Ten assumptions underlying CAPM
Drysdale Securities (Chase Manhattan)
Funding liquidity risk
16. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Multi- period version of CAPM
Morningstar Rating System
CAPM assumption for EMH
Zero- beta CAPM (two factor model)
17. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Sharpe measure
Standard deviation of two assets
Multi- period version of CAPM
Banker's Trust
18. Rp = XaRa + XbRb
Standard deviation of two assets
Forms of Market risk
Expected return of two assets
Risks excluded from operational risk
19. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
VaR- based analysis (formula)
Parametric VaR
Capital market line (CML)
20. Prices of risk are common factors and do not change - Sensitivities can change
Tracking error
Financial Risk
Risk types addressed by ERM
Prices of risk vs sensitivity
21. 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
Traits of ERM
Financial risks
Funding liquidity risk
Probability of ruin
22. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Standard deviation of two assets
Firms becoming more sensitive to changes(bank deregulation)
CAPM (formula)
Business risks
23. 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.
CAPM with taxes included (equation)
Risk Management Irrelevance Proposition
Asset liquidity risk
Risks excluded from operational risk
24. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Risk types addressed by ERM
Market imperfections that can create value
Kidder Peabody
Multi- period version of CAPM
25. Market risk - Liquidity risk - Credit risk - Operational risk
Forms of Market risk
VaR - Value at Risk
APT in active portfolio management
Four major types of risk
26. 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
Banker's Trust
CAPM assumption for EMH
Shape of portfolio possibilities curve
27. Quantile of an empirical distribution
Shape of portfolio possibilities curve
Risk types addressed by ERM
Kidder Peabody
Nonparametric VaR
28. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
RAR = relative return of portfolio (RRp)
Effect of heterogeneous expectations on CAPM
Effect of non- price- taking behavior on CAPM
Multi- period version of CAPM
29. Losses due to market activities ex. Interest rate changes or defaults
Multi- period version of CAPM
Financial risks
Standard deviation of two assets
Risk
30. Multibeta CAPM Ri - Rf =
Asset transformers
Efficient frontier
CAPM (formula)
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
31. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Business risks
Capital market line (CML)
RAR = relative return of portfolio (RRp)
Ten assumptions underlying CAPM
32. 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
Uncertainty
Firms becoming more sensitive to changes(bank deregulation)
Carry- backs and carry- forwards
Drysdale Securities (Chase Manhattan)
33. Asses firm risks - Communicate risks - Manage and monitor risks
Tax shield
3 main types of operational risk
Roles of risk management
Effect of non- price- taking behavior on CAPM
34. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Shortfall risk
Basis risk
Where is risk coming from
Barings
35. 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
Exposure
Allied Irish Bank
Shape of portfolio possibilities curve
APT for passive portfolio management
36. Asset-liability/market-liquidity risk
Basis
Liquidity risk
Three main reasons for financial disasters
Roles of risk management
37. Covariance = correlation coefficient std dev(a) std dev(b)
Settlement risk
Formula for covariance
Sovereign risk
APT (equation and assumptions)
38. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Debt overhang
Business risks
Asset transformers
Derivative contract
39. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Four major types of risk
Risk
Debt overhang
Nonmarketable asset impact on CAPM
40. The need to hedge against risks - for firms need to speculate.
Expected return of two assets
Effect of non- price- taking behavior on CAPM
Parametric VaR
What lead to the exponential growth to derivatives mkt?
41. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Importance of communication for risk managers
Effect of non- price- taking behavior on CAPM
Performance- related metrics
Debt overhang
42. The uses of debt to fall into a lower tax rate
Morningstar Rating System
Tax shield
Debt overhang
Formula for covariance
43. Interest rate movements - derivatives - defaults
Financial Risk
Nonmarketable asset impact on CAPM
Security (primary vs secondary)
Standard deviation of two assets
44. 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
LTCM
Four major types of risk
CAPM (formula)
Solve for minimum variance portfolio
45. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Barings
RAR = relative return of portfolio (RRp)
Solvency-related metrics
Sharpe measure
46. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Solvency-related metrics
Volatility Market risk
Standard deviation of two assets
What lead to the exponential growth to derivatives mkt?
47. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Options motivation on volatility
CAPM assumption for EMH
Morningstar Rating System
Market imperfections that can create value
48. Modeling approach is typically between statistical analytic models and structural simulation models
Debt overhang
Four major types of risk
Models used in ERM framework
Tracking error
49. Probability that a random variable falls below a specified threshold level
Risk
Market imperfections that can create value
Shortfall risk
Uncertainty
50. 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
Settlement risk
Ten assumptions underlying CAPM
Credit event
Shape of portfolio possibilities curve