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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. 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
VaR- based analysis (formula)
Banker's Trust
Financial Risk
Ten assumptions underlying CAPM
2. 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
Business Risk
Barings
Risk
EPD or ECOR - Expected Policyholder Deficit (EPD)
3. CAPM requires the strong form of the Efficient Market Hypothesis = private information
CAPM (formula)
Information ratio
Security (primary vs secondary)
CAPM assumption for EMH
4. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Carry- backs and carry- forwards
Debt overhang
Market imperfections that can create value
Source of need for risk management
5. Probability distribution is unknown (ex. A terrorist attack)
Financial Risk
APT in active portfolio management
Uncertainty
Expected return of two assets
6. Occurs the day when two parties exchange payments same day
Zero- beta CAPM (two factor model)
Business risks
Settlement risk
Basis
7. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Options motivation on volatility
Sharpe measure
Security (primary vs secondary)
Asset transformers
8. 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
Risk Management Irrelevance Proposition
VaR- based analysis (formula)
Valuation vs. Risk management
9. Both probability and cost of tail events are considered
Funding liquidity risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Probability of ruin
Financial Risk
10. Inability to make payment obligations (ex. Margin calls)
Debt overhang
Funding liquidity risk
Ten assumptions underlying CAPM
Options motivation on volatility
11. Volatility of unexpected outcomes
Asset liquidity risk
Performance- related metrics
Financial Risk
Risk
12. 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
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Credit event
Practical considerations related to ERM implementatio
Risk types addressed by ERM
13. 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
Contango
Barings
Multi- period version of CAPM
Asset liquidity risk
14. Changes in vol - implied or actual
Jensen's alpha
Three main reasons for financial disasters
Correlation coefficient effect on diversification
Volatility Market risk
15. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Capital market line (CML)
CAPM with taxes included (equation)
Morningstar Rating System
Tax shield
16. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Zero- beta CAPM (two factor model)
Standard deviation of two assets
Effect of non- price- taking behavior on CAPM
Asset liquidity risk
17. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Liquidity risk
Derivative contract
Differences in financial risk management for financial companies vs industrial companies
Nonparametric VaR
18. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Market imperfections that can create value
RAR = relative return of portfolio (RRp)
Risk
19. Firms became multinational - - >watched xchange rates more - deregulation and globalization
RAR = relative return of portfolio (RRp)
Importance of communication for risk managers
Firms becoming more sensitive to changes(bank deregulation)
Tax shield
20. 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
APT for passive portfolio management
Risk
Basic Market risk
Risk
21. 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 -
Correlation coefficient effect on diversification
Source of need for risk management
Shortfall risk
Debt overhang
22. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Asset transformers
Solve for minimum variance portfolio
Sovereign risk
APT (equation and assumptions)
23. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
VaR- based analysis (formula)
Performance- related metrics
Information ratio
Recovery rate
24. Relative portfolio risk (RRiskp) - Based on a one- month investment period
CAPM with taxes included (equation)
Drysdale Securities (Chase Manhattan)
RAR = relative return of portfolio (RRp)
Risk
25. When negative taxable income is moved to a different year to offset future or past taxable income
Carry- backs and carry- forwards
Derivative contract
Ways firms can fail to account for risks
Ri = ai + bi1l1 + bi2l2....+ei
26. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
3 main types of operational risk
What lead to the exponential growth to derivatives mkt?
Basis
APT (equation and assumptions)
27. Prices of risk are common factors and do not change - Sensitivities can change
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Prices of risk vs sensitivity
Sortino ratio
Capital market line (CML)
28. The uses of debt to fall into a lower tax rate
Standard deviation of two assets
BTR - Below Target Risk
Risks excluded from operational risk
Tax shield
29. Risk of loses owing to movements in level or volatility of market prices
Shortfall risk
Ways risk can be mismeasured
Asset transformers
Market risk
30. Valuation focuses on mean of distribution vs risk mgmt focuses on potential variation in payoffs - needs more precision for pricing - VAR doesn't b/c noise cancels out
Sharpe measure
Valuation vs. Risk management
Expected return of two assets
Exposure
31. Asses firm risks - Communicate risks - Manage and monitor risks
Shortcomings of risk metrics
Liquidity risk
Roles of risk management
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
32. Returns on any stock are linearly related to a set of indexes
Nonmarketable asset impact on CAPM
Exposure
Debt overhang
Ri = ai + bi1l1 + bi2l2....+ei
33. 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
Kidder Peabody
Basis risk
Forms of Market risk
34. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Forms of Market risk
Basis risk
Ri = Rz + (gamma)(beta)
Treynor measure
35. Probability that a random variable falls below a specified threshold level
Debt overhang
Risk Management Irrelevance Proposition
Contango
Shortfall risk
36. Quantile of a statistical distribution
Parametric VaR
Asset transformers
Risk- adjusted performance measure (RAP)
Ways risk can be mismeasured
37. 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
Risk Management Irrelevance Proposition
LTCM
Probability of ruin
Options motivation on volatility
38. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Operational risk
Kidder Peabody
Debt overhang
Ri = Rz + (gamma)(beta)
39. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
APT for passive portfolio management
Risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Basic Market risk
40. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Options motivation on volatility
Zero- beta CAPM (two factor model)
CAPM assumption for EMH
Business risks
41. Liquidity and maturity transformation - Brokers - Reduces transaction and information costs between households and corporations
Exposure
Basis risk
Asset transformers
Risk types addressed by ERM
42. Future price is greater than the spot price
Basic Market risk
Ways risk can be mismeasured
Firms becoming more sensitive to changes(bank deregulation)
Contango
43. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Ways risk can be mismeasured
Shortfall risk
Where is risk coming from
Standard deviation of two assets
44. Law of one price - Homogeneous expectations - Security returns process
Probability of ruin
Solve for minimum variance portfolio
APT (equation and assumptions)
Barings
45. Strategic risk - Business risk - Reputational risk
Risk
Risks excluded from operational risk
Settlement risk
Effect of non- price- taking behavior on CAPM
46. 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
Probability of ruin
Contango
Ri = ai + bi1l1 + bi2l2....+ei
Shortfall risk
47. Potential amount that can be lost
CAPM (formula)
Exposure
Forms of Market risk
Nonparametric VaR
48. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Multi- period version of CAPM
Basis
Contango
Market risk
49. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Tracking error
VaR- based analysis (formula)
Volatility Market risk
Effect of heterogeneous expectations on CAPM
50. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Tracking error
APT in active portfolio management
Ways risk can be mismeasured
Treynor measure