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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. 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
Tax shield
Valuation vs. Risk management
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Multi- period version of CAPM
2. Covariance = correlation coefficient std dev(a) std dev(b)
Morningstar Rating System
Formula for covariance
Shortfall risk
Information ratio
3. Rp = XaRa + XbRb
Ways firms can fail to account for risks
CAPM assumption for EMH
Formula for covariance
Expected return of two assets
4. 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
Barings
Nonmarketable asset impact on CAPM
Multi- period version of CAPM
Recovery rate
5. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Roles of risk management
RAR = relative return of portfolio (RRp)
Effect of heterogeneous expectations on CAPM
Banker's Trust
6. Risk- adjusted rating (RAR) - Difference between relative returns and relative risk
CAPM assumption for EMH
Morningstar Rating System
Roles of risk management
Derivative contract
7. Hazard - Financial - Operational - Strategic
Ways risk can be mismeasured
Nonmarketable asset impact on CAPM
Shortcomings of risk metrics
Risk types addressed by ERM
8. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
Sortino ratio
Allied Irish Bank
Risk types addressed by ERM
VaR- based analysis (formula)
9. Relative portfolio risk (RRiskp) - Based on a one- month investment period
Volatility Market risk
Practical considerations related to ERM implementatio
3 main types of operational risk
RAR = relative return of portfolio (RRp)
10. When firm has so much debt that it leads to making investment decisions that benefit shareholdser but affect total firm value adversely
Financial risks
Exposure
Three main reasons for financial disasters
Debt overhang
11. Need to assess risk and tell management so they can determine which risks to take on
Morningstar Rating System
Four major types of risk
Effect of non- price- taking behavior on CAPM
Importance of communication for risk managers
12. Probability distribution is unknown (ex. A terrorist attack)
Sortino ratio
Market risk
CAPM with taxes included (equation)
Uncertainty
13. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Performance- related metrics
Basis risk
Sharpe measure
Uncertainty
14. (E(Rp) - MAR)/(sqrt((1/T)summation(Rpt- MAR)^2) - MAR - minimum acceptable return
Debt overhang
Sharpe measure
Sortino ratio
Shape of portfolio possibilities curve
15. Law of one price - Homogeneous expectations - Security returns process
Treynor measure
Performance- related metrics
Importance of communication for risk managers
APT (equation and assumptions)
16. 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 -
Market imperfections that can create value
Source of need for risk management
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Ri = Rz + (gamma)(beta)
17. The uses of debt to fall into a lower tax rate
Tax shield
3 main types of operational risk
Settlement risk
Standard deviation of two assets
18. 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
Parametric VaR
Where is risk coming from
Solvency-related metrics
19. Volatility of expected outcomes - Outcomes are random but distribution is known or approximated
Valuation vs. Risk management
Risk
Source of need for risk management
CAPM (formula)
20. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
Settlement risk
Recovery rate
Performance- related metrics
Derivative contract
21. Derives value from an underlying asset - rate - or index - Derives value from a security
APT for passive portfolio management
Risk
Solve for minimum variance portfolio
Derivative contract
22. Future price is greater than the spot price
Basis risk
Differences in financial risk management for financial companies vs industrial companies
Contango
Sharpe measure
23. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Basis risk
Standard deviation of two assets
Credit event
Effect of heterogeneous expectations on CAPM
24. Security is a financial claim issued to raise capital - Primary securities are backed by real assets - Secondary securities are backed by primary securities
Market risk
Security (primary vs secondary)
LTCM
Asset transformers
25. Asset-liability/market-liquidity risk
Capital market line (CML)
Liquidity risk
Sortino ratio
Carry- backs and carry- forwards
26. Absolute and relative risk - direction and non-directional
Tracking error
Forms of Market risk
Kidder Peabody
Ways risk can be mismeasured
27. Risk of loses owing to movements in level or volatility of market prices
Market risk
Information ratio
Uncertainty
Solvency-related metrics
28. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Ways risk can be mismeasured
EPD or ECOR - Expected Policyholder Deficit (EPD)
CAPM assumption for EMH
Jensen's alpha
29. 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
Allied Irish Bank
LTCM
Risk
Firms becoming more sensitive to changes(bank deregulation)
30. Interest rate movements - derivatives - defaults
Roles of risk management
Ri = Rz + (gamma)(beta)
Financial Risk
Debt overhang
31. The lower (closer to - 1) - the higher the payoff from diversification
Correlation coefficient effect on diversification
Nonmarketable asset impact on CAPM
Debt overhang
Credit event
32. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
CAPM with taxes included (equation)
Risks excluded from operational risk
Sharpe measure
CAPM assumption for EMH
33. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Recovery rate
Financial risks
VaR- based analysis (formula)
Exposure
34. Focus on adverse tail of distribution - Relevant for determining economic capital (EC) requirements
Financial Risk
Solvency-related metrics
Market risk
Funding liquidity risk
35. Enterprise Risk Management - ERM is a discipline - culture of enterprise - ERM applies to all industries - ERM is not just defensive - adds value - ERM encompasses all risks - ERM addresses all stakeholders
Traits of ERM
Sortino ratio
EPD or ECOR - Expected Policyholder Deficit (EPD)
Financial Risk
36. Probability that a random variable falls below a specified threshold level
Nonparametric VaR
Shortfall risk
Tracking error
Asset liquidity risk
37. Expected value of unfavorable deviations of a random variable from a specified target level
Recovery rate
BTR - Below Target Risk
Financial Risk
Security (primary vs secondary)
38. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Prices of risk vs sensitivity
CAPM with taxes included (equation)
Standard deviation of two assets
Uncertainty
39. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
EPD or ECOR - Expected Policyholder Deficit (EPD)
Zero- beta CAPM (two factor model)
Tax shield
Allied Irish Bank
40. Modeling approach is typically between statistical analytic models and structural simulation models
APT (equation and assumptions)
Models used in ERM framework
Effect of non- price- taking behavior on CAPM
Barings
41. Losses due to market activities ex. Interest rate changes or defaults
3 main types of operational risk
Ways firms can fail to account for risks
Prices of risk vs sensitivity
Financial risks
42. Quantile of an empirical distribution
Prices of risk vs sensitivity
VaR - Value at Risk
Nonparametric VaR
Sharpe measure
43. When negative taxable income is moved to a different year to offset future or past taxable income
Barings
Carry- backs and carry- forwards
Debt overhang
BTR - Below Target Risk
44. Credit risk that occurs when there is a change in the counterparty's ability to perform its obligations
Credit event
Ri = Rz + (gamma)(beta)
Risks excluded from operational risk
Importance of communication for risk managers
45. Quantile of a statistical distribution
Differences in financial risk management for financial companies vs industrial companies
Parametric VaR
Prices of risk vs sensitivity
Asset liquidity risk
46. Wrong distribution - Historical sample may not apply
Contango
Standard deviation of two assets
Exposure
Ways risk can be mismeasured
47. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Risk- adjusted performance measure (RAP)
Credit event
BTR - Below Target Risk
Four major types of risk
48. 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
Morningstar Rating System
Correlation coefficient effect on diversification
Funding liquidity risk
Ten assumptions underlying CAPM
49. Asses firm risks - Communicate risks - Manage and monitor risks
Roles of risk management
Importance of communication for risk managers
Efficient frontier
EPD or ECOR - Expected Policyholder Deficit (EPD)
50. Risks that are assumed willingly - to gain a competitive edge or add shareholder value
Expected return of two assets
Banker's Trust
Firms becoming more sensitive to changes(bank deregulation)
Business risks