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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. Unanticipated movements in relative prices of assets in hedged position
Multi- period version of CAPM
Risk Management Irrelevance Proposition
Derivative contract
Basic Market risk
2. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Prices of risk vs sensitivity
Banker's Trust
Four major types of risk
Standard deviation of two assets
3. The lower (closer to - 1) - the higher the payoff from diversification
APT (equation and assumptions)
Valuation vs. Risk management
Correlation coefficient effect on diversification
Shortfall risk
4. Quantile of an empirical distribution
Risk Management Irrelevance Proposition
CAPM with taxes included (equation)
Nonparametric VaR
Basis risk
5. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Risk
Solve for minimum variance portfolio
Contango
6. Return is linearly related to growth rate in consumption
Multi- period version of CAPM
Risk Management Irrelevance Proposition
Contango
APT in active portfolio management
7. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Debt overhang
3 main types of operational risk
Financial Risk
Parametric VaR
8. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
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9. Returns on any stock are linearly related to a set of indexes
Efficient frontier
Ri = ai + bi1l1 + bi2l2....+ei
CAPM with taxes included (equation)
LTCM
10. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
Liquidity risk
Derivative contract
Security (primary vs secondary)
Effect of non- price- taking behavior on CAPM
11. Losses due to market activities ex. Interest rate changes or defaults
Financial risks
Firms becoming more sensitive to changes(bank deregulation)
APT in active portfolio management
Efficient frontier
12. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Tracking error
Operational risk
Basis risk
Asset transformers
13. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Settlement risk
Ri = ai + bi1l1 + bi2l2....+ei
Operational risk
Options motivation on volatility
14. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Probability of ruin
Basis
Three main reasons for financial disasters
3 main types of operational risk
15. When negative taxable income is moved to a different year to offset future or past taxable income
Shortfall risk
Sortino ratio
Market risk
Carry- backs and carry- forwards
16. 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
Treynor measure
Practical considerations related to ERM implementatio
Risk
Barings
17. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Barings
Funding liquidity risk
Standard deviation of two assets
APT in active portfolio management
18. 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
Nonparametric VaR
Derivative contract
Forms of Market risk
Ways firms can fail to account for risks
19. ex. Human capital - Equilibrium return can be higher or lower than it is under standard CAPM
Risk
Nonmarketable asset impact on CAPM
Correlation coefficient effect on diversification
APT for passive portfolio management
20. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
Firms becoming more sensitive to changes(bank deregulation)
Banker's Trust
Treynor measure
Asset liquidity risk
21. 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)
Where is risk coming from
Credit event
Three main reasons for financial disasters
22. Market risk - Liquidity risk - Credit risk - Operational risk
RAR = relative return of portfolio (RRp)
Banker's Trust
Exposure
Four major types of risk
23. Curve must be concave - Straight line connecting any two points must be under the curve
Ri = ai + bi1l1 + bi2l2....+ei
Basis
Shortfall risk
Shape of portfolio possibilities curve
24. Absolute and relative risk - direction and non-directional
APT (equation and assumptions)
Shortfall risk
Forms of Market risk
Probability of ruin
25. When two payments are exchanged the same day and one party may default after payment is made
Barings
Three main reasons for financial disasters
Settlement risk
Business risks
26. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Ri = Rz + (gamma)(beta)
Zero- beta CAPM (two factor model)
APT (equation and assumptions)
EPD or ECOR - Expected Policyholder Deficit (EPD)
27. Volatility of unexpected outcomes
Risk
Allied Irish Bank
Ways firms can fail to account for risks
Contango
28. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Exposure
Recovery rate
Morningstar Rating System
Solvency-related metrics
29. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Shortfall risk
Morningstar Rating System
Financial risks
Exposure
30. 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
Correlation coefficient effect on diversification
Morningstar Rating System
Treynor measure
Shortcomings of risk metrics
31. Future price is greater than the spot price
Valuation vs. Risk management
Contango
LTCM
Roles of risk management
32. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Security (primary vs secondary)
Drysdale Securities (Chase Manhattan)
VaR- based analysis (formula)
Ri = ai + bi1l1 + bi2l2....+ei
33. Changes in vol - implied or actual
Volatility Market risk
Settlement risk
VaR- based analysis (formula)
Security (primary vs secondary)
34. 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.
Ri = ai + bi1l1 + bi2l2....+ei
Shortfall risk
Efficient frontier
Risk Management Irrelevance Proposition
35. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Treynor measure
Solvency-related metrics
Barings
What lead to the exponential growth to derivatives mkt?
36. Wrong distribution - Historical sample may not apply
Basis risk
Ways risk can be mismeasured
Information ratio
Asset liquidity risk
37. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Exposure
Importance of communication for risk managers
CAPM assumption for EMH
Where is risk coming from
38. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Firms becoming more sensitive to changes(bank deregulation)
Settlement risk
Source of need for risk management
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
39. Interest rate movements - derivatives - defaults
Risk Management Irrelevance Proposition
Risk
Financial Risk
Tax shield
40. Covariance = correlation coefficient std dev(a) std dev(b)
Banker's Trust
Formula for covariance
Tax shield
RAR = relative return of portfolio (RRp)
41. Asses firm risks - Communicate risks - Manage and monitor risks
Source of need for risk management
Uncertainty
RAR = relative return of portfolio (RRp)
Roles of risk management
42. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Sovereign risk
Contango
Ri = ai + bi1l1 + bi2l2....+ei
Asset transformers
43. Joseph Jett exploited an accounting glitch to book 350 million of false profits (government bonds) - Massive misreporting resulted in loss of confidence in management - Failed to take into account the present value of a forward - Learn to investigate
Source of need for risk management
Sharpe measure
Valuation vs. Risk management
Kidder Peabody
44. 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
Expected return of two assets
Allied Irish Bank
Models used in ERM framework
Jensen's alpha
45. 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
Solvency-related metrics
Barings
Basis
Settlement risk
46. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Risk- adjusted performance measure (RAP)
Probability of ruin
Valuation vs. Risk management
47. The need to hedge against risks - for firms need to speculate.
Three main reasons for financial disasters
What lead to the exponential growth to derivatives mkt?
Business Risk
Risk Management Irrelevance Proposition
48. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
CAPM with taxes included (equation)
BTR - Below Target Risk
Four major types of risk
Jensen's alpha
49. 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 -
Efficient frontier
Basic Market risk
Information ratio
Source of need for risk management
50. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Expected return of two assets
Asset liquidity risk
Basis risk
Risk- adjusted performance measure (RAP)