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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. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Sovereign risk
Three main reasons for financial disasters
Recovery rate
APT for passive portfolio management
2. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Three main reasons for financial disasters
Exposure
Asset transformers
Performance- related metrics
3. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
APT in active portfolio management
Ri = ai + bi1l1 + bi2l2....+ei
Multi- period version of CAPM
Asset liquidity risk
4. Law of one price - Homogeneous expectations - Security returns process
APT (equation and assumptions)
Treynor measure
Settlement risk
Banker's Trust
5. Absolute and relative risk - direction and non-directional
Asset liquidity risk
Forms of Market risk
Tax shield
Nonparametric VaR
6. 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
Debt overhang
Practical considerations related to ERM implementatio
Risk Management Irrelevance Proposition
Probability of ruin
7. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Capital market line (CML)
Effect of heterogeneous expectations on CAPM
Uncertainty
Nonparametric VaR
8. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Market risk
Expected return of two assets
Sortino ratio
Shape of portfolio possibilities curve
9. Unanticipated movements in relative prices of assets in hedged position
Basic Market risk
Roles of risk management
Financial risks
Three main reasons for financial disasters
10. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Business Risk
Market imperfections that can create value
Operational risk
Basis
11. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Asset liquidity risk
Performance- related metrics
Capital market line (CML)
CAPM with taxes included (equation)
12. 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
Sovereign risk
Valuation vs. Risk management
Probability of ruin
Efficient frontier
13. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Source of need for risk management
Risk- adjusted performance measure (RAP)
Basis risk
Probability of ruin
14. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Credit event
Forms of Market risk
Valuation vs. Risk management
Volatility Market risk
15. Summarizes the worst loss over a period that will not be exceeded by a given level of confidence - Always one tailed
Risks excluded from operational risk
VaR - Value at Risk
Security (primary vs secondary)
Standard deviation of two assets
16. Concave function that extends from minimum variance portfolio to maximum return portfolio
Efficient frontier
Basis risk
Shape of portfolio possibilities curve
LTCM
17. The lower (closer to - 1) - the higher the payoff from diversification
Shape of portfolio possibilities curve
Correlation coefficient effect on diversification
3 main types of operational risk
Basis risk
18. Relative portfolio risk (RRiskp) - Based on a one- month investment period
What lead to the exponential growth to derivatives mkt?
Treynor measure
Solvency-related metrics
RAR = relative return of portfolio (RRp)
19. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Firms becoming more sensitive to changes(bank deregulation)
Allied Irish Bank
CAPM (formula)
20. Changes in vol - implied or actual
Financial Risk
Sortino ratio
Volatility Market risk
Allied Irish Bank
21. Inability to make payment obligations (ex. Margin calls)
Financial risks
Banker's Trust
Funding liquidity risk
Tracking error
22. Wrong distribution - Historical sample may not apply
Banker's Trust
Debt overhang
Ways risk can be mismeasured
EPD or ECOR - Expected Policyholder Deficit (EPD)
23. Covariance = correlation coefficient std dev(a) std dev(b)
Solvency-related metrics
Roles of risk management
Forms of Market risk
Formula for covariance
24. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Banker's Trust
Options motivation on volatility
Asset liquidity risk
Solve for minimum variance portfolio
25. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Banker's Trust
Security (primary vs secondary)
Shortcomings of risk metrics
Options motivation on volatility
26. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Funding liquidity risk
3 main types of operational risk
Financial Risk
Models used in ERM framework
27. The uses of debt to fall into a lower tax rate
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Tax shield
Risk types addressed by ERM
Ways firms can fail to account for risks
28. 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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29. Potential amount that can be lost
Volatility Market risk
Exposure
Liquidity risk
CAPM assumption for EMH
30. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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31. Hazard - Financial - Operational - Strategic
Solvency-related metrics
What lead to the exponential growth to derivatives mkt?
Sortino ratio
Risk types addressed by ERM
32. Prices of risk are common factors and do not change - Sensitivities can change
Probability of ruin
Solve for minimum variance portfolio
Information ratio
Prices of risk vs sensitivity
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.
Three main reasons for financial disasters
Drysdale Securities (Chase Manhattan)
Risk Management Irrelevance Proposition
Traits of ERM
34. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Risk types addressed by ERM
Basis
Three main reasons for financial disasters
Uncertainty
35. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Morningstar Rating System
Drysdale Securities (Chase Manhattan)
Solve for minimum variance portfolio
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
36. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Risk types addressed by ERM
Where is risk coming from
Three main reasons for financial disasters
Debt overhang
37. 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 -
BTR - Below Target Risk
Models used in ERM framework
APT for passive portfolio management
Source of need for risk management
38. 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
Source of need for risk management
Allied Irish Bank
Financial Risk
39. Quantile of a statistical distribution
Sortino ratio
Market risk
Solve for minimum variance portfolio
Parametric VaR
40. Return is linearly related to growth rate in consumption
Multi- period version of CAPM
Ri = Rz + (gamma)(beta)
Zero- beta CAPM (two factor model)
Drysdale Securities (Chase Manhattan)
41. Cannot exit position in market due to size of the position
Models used in ERM framework
Recovery rate
Jensen's alpha
Asset liquidity risk
42. Risk of loses owing to movements in level or volatility of market prices
Market risk
Financial Risk
Operational risk
Asset transformers
43. 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
Solve for minimum variance portfolio
Risk
Importance of communication for risk managers
Shortcomings of risk metrics
44. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Uncertainty
Standard deviation of two assets
Expected return of two assets
Tracking error
45. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Sovereign risk
CAPM (formula)
Risk Management Irrelevance Proposition
APT for passive portfolio management
46. Future price is greater than the spot price
Funding liquidity risk
CAPM (formula)
Contango
Firms becoming more sensitive to changes(bank deregulation)
47. 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
Differences in financial risk management for financial companies vs industrial companies
EPD or ECOR - Expected Policyholder Deficit (EPD)
Barings
Nonmarketable asset impact on CAPM
48. Strategic risk - Business risk - Reputational risk
Models used in ERM framework
Exposure
Risks excluded from operational risk
Asset liquidity risk
49. 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
Risks excluded from operational risk
Carry- backs and carry- forwards
APT for passive portfolio management
Traits of ERM
50. Probability distribution is unknown (ex. A terrorist attack)
Financial Risk
Market risk
Uncertainty
Expected return of two assets