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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. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
APT in active portfolio management
Effect of heterogeneous expectations on CAPM
Debt overhang
Capital market line (CML)
2. Firms became multinational - - >watched xchange rates more - deregulation and globalization
Contango
Security (primary vs secondary)
Firms becoming more sensitive to changes(bank deregulation)
Credit event
3. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
APT for passive portfolio management
Risk
Information ratio
Market risk
4. 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
Correlation coefficient effect on diversification
Uncertainty
LTCM
Asset transformers
5. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
Multi- period version of CAPM
Allied Irish Bank
Options motivation on volatility
Basis
6. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
Three main reasons for financial disasters
APT in active portfolio management
Zero- beta CAPM (two factor model)
Morningstar Rating System
7. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
CAPM with taxes included (equation)
Roles of risk management
Differences in financial risk management for financial companies vs industrial companies
Risk- adjusted performance measure (RAP)
8. Multibeta CAPM Ri - Rf =
Importance of communication for risk managers
LTCM
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Forms of Market risk
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
Ten assumptions underlying CAPM
Carry- backs and carry- forwards
Efficient frontier
Ri = Rz + (gamma)(beta)
10. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
Sovereign risk
Banker's Trust
Solve for minimum variance portfolio
Sortino ratio
11. Future price is greater than the spot price
Operational risk
Contango
Asset liquidity risk
Source of need for risk management
12. Risk of loses owing to movements in level or volatility of market prices
Market risk
Shortcomings of risk metrics
Credit event
Asset transformers
13. Curve must be concave - Straight line connecting any two points must be under the curve
Prices of risk vs sensitivity
Liquidity risk
Shape of portfolio possibilities curve
Models used in ERM framework
14. Concave function that extends from minimum variance portfolio to maximum return portfolio
Security (primary vs secondary)
Settlement risk
Efficient frontier
Information ratio
15. Returns on any stock are linearly related to a set of indexes
Four major types of risk
Ri = ai + bi1l1 + bi2l2....+ei
Treynor measure
Effect of non- price- taking behavior on CAPM
16. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
CAPM (formula)
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Ways firms can fail to account for risks
Operational risk
17. Strategic risk - Business risk - Reputational risk
Zero- beta CAPM (two factor model)
Risk- adjusted performance measure (RAP)
Risks excluded from operational risk
Exposure
18. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Differences in financial risk management for financial companies vs industrial companies
Sortino ratio
Derivative contract
Risks excluded from operational risk
19. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Solvency-related metrics
Capital market line (CML)
LTCM
Sortino ratio
20. Expected value of unfavorable deviations of a random variable from a specified target level
BTR - Below Target Risk
Exposure
Banker's Trust
Contango
21. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
22. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Nonparametric VaR
Drysdale Securities (Chase Manhattan)
Security (primary vs secondary)
Roles of risk management
23. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Basis risk
Models used in ERM framework
Three main reasons for financial disasters
VaR- based analysis (formula)
24. Unanticipated movements in relative prices of assets in hedged position
Traits of ERM
Basic Market risk
Ten assumptions underlying CAPM
Business risks
25. Potential amount that can be lost
Solvency-related metrics
Basic Market risk
Exposure
VaR- based analysis (formula)
26. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Effect of heterogeneous expectations on CAPM
Effect of non- price- taking behavior on CAPM
Recovery rate
Security (primary vs secondary)
27. Both probability and cost of tail events are considered
VaR- based analysis (formula)
CAPM assumption for EMH
Information ratio
Tail VaR or TCE - Tail Conditional Expectation(TCE)
28. Long in options = expecting volatility increase - Short in options = expecting volatility decrease
Options motivation on volatility
Business risks
Market risk
APT (equation and assumptions)
29. Make common factor beta - Build optimal portfolios - Judge valuation of securities - Track an index but enhance with stock selection
Where is risk coming from
Basic Market risk
APT in active portfolio management
Ri = ai + bi1l1 + bi2l2....+ei
30. Capital structure (financial distress) - Taxes - Agency and information asymmetries
Sharpe measure
Formula for covariance
Market imperfections that can create value
Shortcomings of risk metrics
31. Probability distribution is unknown (ex. A terrorist attack)
Uncertainty
Tracking error
Risks excluded from operational risk
Security (primary vs secondary)
32. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Expected return of two assets
Shortcomings of risk metrics
Drysdale Securities (Chase Manhattan)
Effect of heterogeneous expectations on CAPM
33. Law of one price - Homogeneous expectations - Security returns process
APT (equation and assumptions)
CAPM (formula)
Multi- period version of CAPM
Asset transformers
34. Covariance = correlation coefficient std dev(a) std dev(b)
Contango
Expected return of two assets
APT (equation and assumptions)
Formula for covariance
35. The lower (closer to - 1) - the higher the payoff from diversification
Multi- period version of CAPM
Derivative contract
Practical considerations related to ERM implementatio
Correlation coefficient effect on diversification
36. Return is linearly related to growth rate in consumption
Multi- period version of CAPM
Banker's Trust
Business Risk
VaR- based analysis (formula)
37. 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
Solvency-related metrics
Valuation vs. Risk management
Financial Risk
Sortino ratio
38. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Funding liquidity risk
Asset liquidity risk
Risk- adjusted performance measure (RAP)
Market risk
39. Rp = XaRa + XbRb
Expected return of two assets
Allied Irish Bank
Differences in financial risk management for financial companies vs industrial companies
Settlement risk
40. 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 Management Irrelevance Proposition
Where is risk coming from
APT (equation and assumptions)
Derivative contract
41. 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
Risk
Practical considerations related to ERM implementatio
Debt overhang
42. Occurs the day when two parties exchange payments same day
Shortfall risk
Debt overhang
Importance of communication for risk managers
Settlement risk
43. 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 -
Zero- beta CAPM (two factor model)
APT (equation and assumptions)
Source of need for risk management
Risk
44. Quantile of an empirical distribution
Business Risk
Volatility Market risk
Market risk
Nonparametric VaR
45. Loss resulting from inadequate/failed internal processes - people or systems - back-office problems - settlement - etc - reconciliation
Four major types of risk
Expected return of two assets
Treynor measure
Operational risk
46. The uses of debt to fall into a lower tax rate
Risk types addressed by ERM
Tax shield
Market imperfections that can create value
Probability of ruin
47. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Capital market line (CML)
Forms of Market risk
Correlation coefficient effect on diversification
Sovereign risk
48. Market risk - Liquidity risk - Credit risk - Operational risk
Effect of heterogeneous expectations on CAPM
Zero- beta CAPM (two factor model)
Practical considerations related to ERM implementatio
Four major types of risk
49. People risk = fraud - etc. - Model risk = flawed valuation models - Legal risk = exposure to fines and lawsuits
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Risk Management Irrelevance Proposition
Importance of communication for risk managers
3 main types of operational risk
50. 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
Basis
Probability of ruin
Ways risk can be mismeasured
Effect of non- price- taking behavior on CAPM