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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. Return is linearly related to growth rate in consumption
Kidder Peabody
Morningstar Rating System
Multi- period version of CAPM
Sortino ratio
2. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Credit event
Basic Market risk
Multi- period version of CAPM
Formula for covariance
3. 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 -
Business Risk
Shortfall risk
Source of need for risk management
Valuation vs. Risk management
4. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Effect of non- price- taking behavior on CAPM
VaR- based analysis (formula)
Nonmarketable asset impact on CAPM
Expected return of two assets
5. Cannot exit position in market due to size of the position
Liquidity risk
APT for passive portfolio management
Asset liquidity risk
Uncertainty
6. Rp = XaRa + XbRb
Market imperfections that can create value
Credit event
Expected return of two assets
3 main types of operational risk
7. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Asset liquidity risk
Debt overhang
Risk- adjusted performance measure (RAP)
Risk
8. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Effect of non- price- taking behavior on CAPM
Standard deviation of two assets
3 main types of operational risk
Risk- adjusted performance measure (RAP)
9. 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 risks
Ten assumptions underlying CAPM
Volatility Market risk
BTR - Below Target Risk
10. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Differences in financial risk management for financial companies vs industrial companies
Capital market line (CML)
Debt overhang
Allied Irish Bank
11. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Business risks
Carry- backs and carry- forwards
CAPM assumption for EMH
Debt overhang
12. Unanticipated movements in relative prices of assets in hedged position
Basic Market risk
Debt overhang
Funding liquidity risk
APT for passive portfolio management
13. IR = (E(Rp) - E(Rb))/(std dev(Rp- Rb)) - Evaluate manager of a benchmark fund
Practical considerations related to ERM implementatio
CAPM with taxes included (equation)
Information ratio
Security (primary vs secondary)
14. Quantile of an empirical distribution
RAR = relative return of portfolio (RRp)
Capital market line (CML)
Parametric VaR
Nonparametric VaR
15. Hazard - Financial - Operational - Strategic
Funding liquidity risk
Risk types addressed by ERM
Firms becoming more sensitive to changes(bank deregulation)
Security (primary vs secondary)
16. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Allied Irish Bank
Risk types addressed by ERM
Shortfall risk
Market imperfections that can create value
17. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Effect of heterogeneous expectations on CAPM
Business risks
Allied Irish Bank
Asset transformers
18. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Three main reasons for financial disasters
Settlement risk
Sortino ratio
Zero- beta CAPM (two factor model)
19. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Tracking error
RAR = relative return of portfolio (RRp)
Kidder Peabody
Forms of Market risk
20. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Drysdale Securities (Chase Manhattan)
Morningstar Rating System
Effect of non- price- taking behavior on CAPM
Risk Management Irrelevance Proposition
21. Losses due to market activities ex. Interest rate changes or defaults
Expected return of two assets
Financial risks
CAPM with taxes included (equation)
Four major types of risk
22. Misleading reporting (incorrect market info) - Due to large market moves - Due to conduct of customer business
Traits of ERM
Three main reasons for financial disasters
Capital market line (CML)
Performance- related metrics
23. 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
Firms becoming more sensitive to changes(bank deregulation)
Multi- period version of CAPM
Formula for covariance
APT for passive portfolio management
24. 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
Liquidity risk
Sortino ratio
Practical considerations related to ERM implementatio
APT in active portfolio management
25. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Three main reasons for financial disasters
Information ratio
Business risks
Source of need for risk management
26. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Firms becoming more sensitive to changes(bank deregulation)
Zero- beta CAPM (two factor model)
Basis
Recovery rate
27. The uses of debt to fall into a lower tax rate
Debt overhang
Business Risk
Tax shield
CAPM with taxes included (equation)
28. Both probability and cost of tail events are considered
Tail VaR or TCE - Tail Conditional Expectation(TCE)
What lead to the exponential growth to derivatives mkt?
Nonmarketable asset impact on CAPM
Contango
29. Wrong distribution - Historical sample may not apply
RAR = relative return of portfolio (RRp)
Ways risk can be mismeasured
Contango
APT (equation and assumptions)
30. 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 beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Standard deviation of two assets
Capital market line (CML)
EPD or ECOR - Expected Policyholder Deficit (EPD)
31. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
RAR = relative return of portfolio (RRp)
LTCM
Where is risk coming from
Derivative contract
32. Derives value from an underlying asset - rate - or index - Derives value from a security
Expected return of two assets
Sovereign risk
Derivative contract
Solve for minimum variance portfolio
33. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Business risks
Basis risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Expected return of two assets
34. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Zero- beta CAPM (two factor model)
Standard deviation of two assets
EPD or ECOR - Expected Policyholder Deficit (EPD)
Options motivation on volatility
35. Probability that a random variable falls below a specified threshold level
Shortfall risk
Banker's Trust
CAPM (formula)
VaR- based analysis (formula)
36. 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
Sharpe measure
APT for passive portfolio management
LTCM
Financial Risk
37. Prices of risk are common factors and do not change - Sensitivities can change
Parametric VaR
Probability of ruin
Prices of risk vs sensitivity
Operational risk
38. Returns on any stock are linearly related to a set of indexes
Ri = ai + bi1l1 + bi2l2....+ei
Firms becoming more sensitive to changes(bank deregulation)
Carry- backs and carry- forwards
Performance- related metrics
39. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Drysdale Securities (Chase Manhattan)
VaR - Value at Risk
APT (equation and assumptions)
Sharpe measure
40. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Roles of risk management
Ten assumptions underlying CAPM
Ri = Rz + (gamma)(beta)
Practical considerations related to ERM implementatio
41. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Risk- adjusted performance measure (RAP)
APT for passive portfolio management
Treynor measure
CAPM (formula)
42. Leeson took large speculative position in Nikkei 225 disguised as safe transactions by fake customers - Earthquake increased volatility and destroyed short put options - Losses of 1.25 billion and forced bankruptcy - Necessity of an independent tradi
Practical considerations related to ERM implementatio
Barings
Tracking error
Nonmarketable asset impact on CAPM
43. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Forms of Market risk
Carry- backs and carry- forwards
Risk- adjusted performance measure (RAP)
Solvency-related metrics
44. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
CAPM (formula)
VaR - Value at Risk
Market risk
45. Modeling approach is typically between statistical analytic models and structural simulation models
Models used in ERM framework
Funding liquidity risk
Risk
Multi- period version of CAPM
46. Changes in vol - implied or actual
Volatility Market risk
Shortcomings of risk metrics
Efficient frontier
Financial risks
47. Probability distribution is unknown (ex. A terrorist attack)
Uncertainty
Business Risk
Debt overhang
LTCM
48. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Risk types addressed by ERM
Information ratio
Funding liquidity risk
Operational risk
49. Risk of loses owing to movements in level or volatility of market prices
Exposure
Derivative contract
Market risk
VaR- based analysis (formula)
50. 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.
Multi- period version of CAPM
Four major types of risk
Risk Management Irrelevance Proposition
Settlement risk