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Test your basic knowledge |
FRM: Foundations Of Risk Management
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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. Hazard - Financial - Operational - Strategic
RAR = relative return of portfolio (RRp)
Risk types addressed by ERM
Parametric VaR
Effect of non- price- taking behavior on CAPM
2. Future price is greater than the spot price
Formula for covariance
Basis
Prices of risk vs sensitivity
Contango
3. Equilibrium can still be expressed in returns - covariance - and variance - but they become complex weighted averages
Probability of ruin
Nonparametric VaR
VaR - Value at Risk
Effect of heterogeneous expectations on CAPM
4. Country specific - Foreign exchange controls that prohibit counterparty's obligations
Effect of heterogeneous expectations on CAPM
Ways risk can be mismeasured
Sovereign risk
Nonparametric VaR
5. 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
Funding liquidity risk
Practical considerations related to ERM implementatio
Formula for covariance
LTCM
6. Law of one price - Homogeneous expectations - Security returns process
APT (equation and assumptions)
BTR - Below Target Risk
Sharpe measure
Standard deviation of two assets
7. Unanticipated movements in relative prices of assets in a hedged position - All hedges imply some basis risk
Roles of risk management
Basis risk
Solve for minimum variance portfolio
Financial Risk
8. CAPM requires the strong form of the Efficient Market Hypothesis = private information
EPD or ECOR - Expected Policyholder Deficit (EPD)
Ri = Rz + (gamma)(beta)
Financial Risk
CAPM assumption for EMH
9. Losses due to market activities ex. Interest rate changes or defaults
Parametric VaR
Debt overhang
Financial risks
Nonmarketable asset impact on CAPM
10. Rp = XaRa + XbRb
Expected return of two assets
Risk
APT for passive portfolio management
Effect of non- price- taking behavior on CAPM
11. Ri = Rz + (Rm - Rz)*beta - Rz = return on zero- beta portfolio
Security (primary vs secondary)
Zero- beta CAPM (two factor model)
Models used in ERM framework
APT in active portfolio management
12. Excess return equated to alpha plus expected systematic return E(Rp) - Rf = alpha + beta(E(Rm) - Rf)
13. Wrong distribution - Historical sample may not apply
Performance- related metrics
EPD or ECOR - Expected Policyholder Deficit (EPD)
Formula for covariance
Ways risk can be mismeasured
14. 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
Sharpe measure
Market risk
Where is risk coming from
Kidder Peabody
15. Firms became multinational - - >watched xchange rates more - deregulation and globalization
APT (equation and assumptions)
Settlement risk
Firms becoming more sensitive to changes(bank deregulation)
Differences in financial risk management for financial companies vs industrial companies
16. 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
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Ten assumptions underlying CAPM
Importance of communication for risk managers
Parametric VaR
17. Changes in vol - implied or actual
Debt overhang
Capital market line (CML)
Volatility Market risk
Drysdale Securities (Chase Manhattan)
18. Proportion of loss that is recovered - Also referred to as "cents on the dollar"
Funding liquidity risk
Business Risk
Recovery rate
Market imperfections that can create value
19. E(Ri) = Rf + beta[(E(Rm)- Rf)- (tax factor)(dividend yield for market - Rf)] + (tax factor)(dividend yield for stock - Rf)
Capital market line (CML)
Volatility Market risk
CAPM with taxes included (equation)
Asset liquidity risk
20. Asset-liability/market-liquidity risk
Liquidity risk
Basic Market risk
Prices of risk vs sensitivity
Risk- adjusted performance measure (RAP)
21. Prices of risk are common factors and do not change - Sensitivities can change
Financial Risk
Treynor measure
EPD or ECOR - Expected Policyholder Deficit (EPD)
Prices of risk vs sensitivity
22. Xmvp = ((variance of b) - covariance)/((variance of a) + (variance of b) - 2 * covariance)
What lead to the exponential growth to derivatives mkt?
Ri = ai + bi1l1 + bi2l2....+ei
Solve for minimum variance portfolio
CAPM assumption for EMH
23. Modeling approach is typically between statistical analytic models and structural simulation models
Correlation coefficient effect on diversification
Roles of risk management
RAR = relative return of portfolio (RRp)
Models used in ERM framework
24. Potential amount that can be lost
Models used in ERM framework
Exposure
Multi- period version of CAPM
Credit event
25. Economic Cost of Ruin(ECOR) - Enhancement to probability of ruin where severity of ruin is reflected
Basic Market risk
Sortino ratio
Parametric VaR
EPD or ECOR - Expected Policyholder Deficit (EPD)
26. Relationship drawn from CML - RAP = [(market std dev)/(portfolio std dev)]*(Portfolio return - risk free rate) + risk free rate - annualized
Shortfall risk
Volatility Market risk
Risk- adjusted performance measure (RAP)
CAPM assumption for EMH
27. 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
Risk- adjusted performance measure (RAP)
Barings
Allied Irish Bank
Shortcomings of risk metrics
28. Excess return divided by portfolio beta Tp = (E(Rp) - Rf)/portfolio beta - Better for well diversified portfolios
APT in active portfolio management
Effect of heterogeneous expectations on CAPM
Treynor measure
Differences in financial risk management for financial companies vs industrial companies
29. Std dev between portfolio return and benchmark return TE = std dev * (Rp- Rb) - Benchmark funds
Funding liquidity risk
Tracking error
Asset liquidity risk
Ten assumptions underlying CAPM
30. 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
Basis risk
Roles of risk management
Performance- related metrics
31. Risk replaced with VaR (Portfolio return - risk free rate)/(portfolio VaR/initial value of portfolio)
VaR- based analysis (formula)
Kidder Peabody
Nonmarketable asset impact on CAPM
Ri = ai + bi1l1 + bi2l2....+ei
32. Cannot exit position in market due to size of the position
VaR - Value at Risk
Liquidity risk
Funding liquidity risk
Asset liquidity risk
33. Managing risks is a core activity at financial companies - Industrial companies hedge financial risks
Expected return of two assets
VaR - Value at Risk
Differences in financial risk management for financial companies vs industrial companies
Risk Management Irrelevance Proposition
34. Volatility of unexpected outcomes
Risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
Sortino ratio
CAPM assumption for EMH
35. Concentrate on mid- region of probability distribution - Relevant to owners and proxies
LTCM
Performance- related metrics
Drysdale Securities (Chase Manhattan)
Ways firms can fail to account for risks
36. Difference between forward price and spot price - Should approach zero as the contract approaches maturity
3 main types of operational risk
Basis
Operational risk
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
37. 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
Correlation coefficient effect on diversification
Basis
Capital market line (CML)
Sovereign risk
38. Probability distribution is unknown (ex. A terrorist attack)
Debt overhang
Valuation vs. Risk management
Options motivation on volatility
Uncertainty
39. Human - created: business cycles - inflation - govt policy changes - wars - Natural: weather - quakes
Valuation vs. Risk management
Operational risk
Where is risk coming from
(market beta)(Rm - Rf) + (sensitivity to inflation risk)(price of inflation risk)
40. Capital Asset Pricing Model Ri = Rf + beta*(Rm - Rf)
Forms of Market risk
Ways firms can fail to account for risks
CAPM (formula)
What lead to the exponential growth to derivatives mkt?
41. 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
Tax shield
Business Risk
Performance- related metrics
Probability of ruin
42. Too much debt - Causes shareholders to seek projects that create short term capital but long term losses
Exposure
Debt overhang
Ways risk can be mismeasured
Tax shield
43. Excess return divided by portfolio volatility (std dev) Sp = (E(Rp) - Rf)/(std dev of Rp) - Better for non- diversified portfolios
Source of need for risk management
Carry- backs and carry- forwards
Risk
Sharpe measure
44. Sqrt((Xa^2)(variance of a) + (1- Xa)^2(variance of b) + 2(Xa)(1- Xa)(covariance))
Expected return of two assets
Parametric VaR
Business risks
Standard deviation of two assets
45. When negative taxable income is moved to a different year to offset future or past taxable income
Banker's Trust
LTCM
Four major types of risk
Carry- backs and carry- forwards
46. 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
Nonmarketable asset impact on CAPM
Valuation vs. Risk management
Funding liquidity risk
Sortino ratio
47. The lower (closer to - 1) - the higher the payoff from diversification
Volatility Market risk
Drysdale Securities (Chase Manhattan)
Correlation coefficient effect on diversification
Market imperfections that can create value
48. 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 -
Source of need for risk management
Basis risk
Sortino ratio
Ways firms can fail to account for risks
49. Both probability and cost of tail events are considered
Tail VaR or TCE - Tail Conditional Expectation(TCE)
Four major types of risk
Ways risk can be mismeasured
APT (equation and assumptions)
50. 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.
BTR - Below Target Risk
Allied Irish Bank
Risk Management Irrelevance Proposition
Shortcomings of risk metrics