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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. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Differences in financial risk management for financial companies vs industrial companies
Tracking error
Drysdale Securities (Chase Manhattan)
Three main reasons for financial disasters
2. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Kidder Peabody
Effect of heterogeneous expectations on CAPM
Prices of risk vs sensitivity
Solvency-related metrics
3. Quantile of an empirical distribution
Nonparametric VaR
Basic Market risk
Traits of ERM
Risks excluded from operational risk
4. Return is linearly related to growth rate in consumption
Allied Irish Bank
Multi- period version of CAPM
Settlement risk
Business risks
5. 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
Risk
Uncertainty
Funding liquidity risk
Ten assumptions underlying CAPM
6. 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- adjusted performance measure (RAP)
VaR - Value at Risk
LTCM
Allied Irish Bank
7. Both probability and cost of tail events are considered
Sovereign risk
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Credit event
Three main reasons for financial disasters
8. When two payments are exchanged the same day and one party may default after payment is made
Valuation vs. Risk management
Effect of heterogeneous expectations on CAPM
Settlement risk
Risk
9. Returns on any stock are linearly related to a set of indexes
Ri = ai + bi1l1 + bi2l2....+ei
Jensen's alpha
APT for passive portfolio management
Three main reasons for financial disasters
10. Covariance = correlation coefficient std dev(a) std dev(b)
Sharpe measure
Risk
Exposure
Formula for covariance
11. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
APT in active portfolio management
Probability of ruin
Sovereign risk
Risk types addressed by ERM
12. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Recovery rate
Morningstar Rating System
Debt overhang
Tracking error
13. Volatility of unexpected outcomes
Three main reasons for financial disasters
Contango
Risk
Parametric VaR
14. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Basic Market risk
Ways risk can be mismeasured
Basis risk
Ten assumptions underlying CAPM
15. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Basis
Basis risk
Contango
Four major types of risk
16. Probability that a random variable falls below a specified threshold level
Ri = Rz + (gamma)(beta)
Efficient frontier
Shortfall risk
Risks excluded from operational risk
17. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Standard deviation of two assets
Kidder Peabody
Models used in ERM framework
Volatility Market risk
18. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Sortino ratio
Carry- backs and carry- forwards
Basic Market risk
Three main reasons for financial disasters
19. 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.
Asset liquidity risk
Banker's Trust
Probability of ruin
Risk Management Irrelevance Proposition
20. 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
VaR - Value at Risk
Business Risk
Multi- period version of CAPM
Nonparametric VaR
21. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Morningstar Rating System
Where is risk coming from
Kidder Peabody
Ri = Rz + (gamma)(beta)
22. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Sovereign risk
Forms of Market risk
CAPM (formula)
Basic Market risk
23. Expected value of unfavorable deviations of a random variable from a specified target level
Solvency-related metrics
CAPM with taxes included (equation)
BTR - Below Target Risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
24. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Options motivation on volatility
Security (primary vs secondary)
Risks excluded from operational risk
Asset liquidity risk
25. Future price is greater than the spot price
Contango
LTCM
Jensen's alpha
Parametric VaR
26. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Nonparametric VaR
Risk- adjusted performance measure (RAP)
Basis
Business Risk
27. Concave function that extends from minimum variance portfolio to maximum return portfolio
Differences in financial risk management for financial companies vs industrial companies
Risk types addressed by ERM
Efficient frontier
Tracking error
28. Absolute and relative risk - direction and non-directional
Sortino ratio
Forms of Market risk
Risk
Efficient frontier
29. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Operational risk
Risk types addressed by ERM
Firms becoming more sensitive to changes(bank deregulation)
Treynor measure
30. Occurs the day when two parties exchange payments same day
CAPM with taxes included (equation)
Settlement risk
Formula for covariance
Ways firms can fail to account for risks
31. 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
Expected return of two assets
Practical considerations related to ERM implementatio
Kidder Peabody
What lead to the exponential growth to derivatives mkt?
32. 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
Derivative contract
APT in active portfolio management
BTR - Below Target Risk
33. 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
34. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Capital market line (CML)
Credit event
Market imperfections that can create value
Differences in financial risk management for financial companies vs industrial companies
35. Strategic risk - Business risk - Reputational risk
VaR- based analysis (formula)
Valuation vs. Risk management
Risks excluded from operational risk
Settlement risk
36. Gamma = market price of the consumption beta - Beta = E(r) of zero consumption beta
Volatility Market risk
Ri = ai + bi1l1 + bi2l2....+ei
Ri = Rz + (gamma)(beta)
Morningstar Rating System
37. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
RAR = relative return of portfolio (RRp)
Zero- beta CAPM (two factor model)
Four major types of risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
38. Multibeta CAPM Ri - Rf =
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Jensen's alpha
Four major types of risk
Ways risk can be mismeasured
39. Cannot exit position in market due to size of the position
Asset liquidity risk
CAPM with taxes included (equation)
Probability of ruin
Settlement risk
40. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
VaR- based analysis (formula)
VaR - Value at Risk
Ten assumptions underlying CAPM
EPD or ECOR - Expected Policyholder Deficit (EPD)
41. Curve must be concave - Straight line connecting any two points must be under the curve
Shape of portfolio possibilities curve
Nonparametric VaR
APT for passive portfolio management
Financial risks
42. Changes in vol - implied or actual
Nonmarketable asset impact on CAPM
Expected return of two assets
Barings
Volatility Market risk
43. Rp = XaRa + XbRb
Expected return of two assets
Contango
What lead to the exponential growth to derivatives mkt?
Prices of risk vs sensitivity
44. 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
Recovery rate
Ten assumptions underlying CAPM
Banker's Trust
Capital market line (CML)
45. Simple form of CAPM - but market price of risk is lower than if all investors were price takers
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Tracking error
Ri = ai + bi1l1 + bi2l2....+ei
Effect of non- price- taking behavior on CAPM
46. Derives value from an underlying asset - rate - or index - Derives value from a security
VaR - Value at Risk
Expected return of two assets
Derivative contract
Traits of ERM
47. The uses of debt to fall into a lower tax rate
Debt overhang
Banker's Trust
Differences in financial risk management for financial companies vs industrial companies
Tax shield
48. Interest rate movements - derivatives - defaults
Jensen's alpha
Volatility Market risk
Financial Risk
Risk- adjusted performance measure (RAP)
49. Unanticipated movements in relative prices of assets in hedged position
Liquidity risk
Basic Market risk
Expected return of two assets
Shortcomings of risk metrics
50. Probability distribution is unknown (ex. A terrorist attack)
Ten assumptions underlying CAPM
Drysdale Securities (Chase Manhattan)
Uncertainty
Market imperfections that can create value