Ch 1: Market Risk Management Flashcards
Identifies potential losses under extreme market conditions, which are associated with much higher confidence levels.
stress-testing
What are the types of financial risks?
market risk, credit risk, settlement risk, and operational risk
The risk of losses due to movements in financial market prices or volatilities.
Market risk
The risk of losses due to the fact that counterparties may be unwilling or unable to fulfill their contractual obligations.
Credit risk
The risk of loss resulting from failed or inadequate internal processes, systems and people, or from external events.
Operational risk
What are the usual risk management tools/measures?
Notional amounts, sensitivity measures, and scenario analysis.
True or False. The usual measures of risk management provide some intuition of risk, they also measure what matters the downside risk for the total portfolio.
False (Although these measures provide some intuition of risk, they do not measure what matters – that is, the downside risk for the total portfolio.)
Notional amounts, sensitivity measures, and scenario analysis fails to take into account what factors?
(1) differences in volatilities across markets,
(2) correlations across risk factors,
(3) and probability of adverse moves in the risk factors.
In the case of an inverse floater investment, what will most likely happen?
a. When rates go up, the PV of the CF will drop, and discount rate will increase
b. When rates go down, the PV of the CF will drop, and discount rate will increase
c. When rates go up, the PV of the CF will increase, and discount rate will increase
d. When rates go down, the PV of the CF will drop, and discount rate will decrease
a. When rates go up, the PV of the CF will drop, and discount rate will increase
only provides an indication of the potential loss
notional amount
This measure reveals the extreme sensitivity of the bond to interest rates but does not answer the question of whether such a disastrous movement in interest rates is likely. It also ignores the nonlinearity between the note price and yields.
duration
provides some improvement, as it allows the investor to investigate nonlinear, extreme effects in price. But again, the method does not associate the loss with a probability.
Scenario analysis
The bond with a value of $100M has three times the duration of a similar 4.5 year note. If the worst increase in yield at the 95% level is 1.65%, what will be the VAR?
$22M [VAR = Market value (100M) × Modified duration (13.5) × Worst yield increase (0.0165)]
the maximum loss over a target horizon such that there is a low, pre-specified probability that the actual loss will be larger.
Value at Risk (VAR)
What is the stimulated daily return in dollars of the given problem: Consider for instance a position of USD 4 million short the yen, long the dollar. Given the two hypothetical days of S1 = 112.0 and S2 = 111.8.
-7.2M [Rt($) = Q0($)[St - St-1] / St-1] —> 4M x (111.8 - 112)/112 = -$7.2M
represents extreme values on the higher end. It is the probability of observing a loss greater than or equal to a certain threshold.
right-tail probability (understanding how likely it is for our losses to be big in those extreme situations.)
represents extreme values on the lower end. It is the probability of observing a value less than or equal to a certain threshold.
Left-tail probability
When the outcomes are discrete, VAR is:
a. the smallest loss such that the left- tail probability is at least c
b. the largest loss such that the left-tail probability is at least c
c. the largest loss such that the right-tail probability is at least c
d. the smallest loss such that the right-tail probability is at least c
d. the smallest loss such that the right-tail probability is at least c
- What is the correct interpretation of a $3 million overnight VAR figure with 99% confidence level? The institution
(Example #1)
a. Can be expected to lose at most $3 million in 1 out of next 100 days
b. Can be expected to lose at least $3 million in 95 out of next 100 days
c. Can be expected to lose at least $3 million in 1 out of next 100 days
d. Can be expected to lose at most $6 million in 2 out of next 100 days
c. Can be expected to lose at least $3 million in 1 out of next 100 days
- Based on a 90% confidence level, how many exceptions in back testing a VAR would be expected over a 250-day trading year?
(Example #2:)
a. 10
b. 15
c. 25
d. 50
c. 25
VAR is a useful summary measure of risk, subject to some caveats:
(1) VAR does not describe the worst loss,
(2) VAR does not describe the losses in the left tail, and
(3) VAR is measured with some error.
implies that the risk of a portfolio must be less than the sum of risks for portfolio components.
Subadditivity
What are the alternative measures of risk:
- The Entire Distribution
- The Conditional VAR
- The Standard Deviation
- The Semi-standard Deviation
- The Drawdown
true or false. the VAR of a portfolio can be greater than the sum of sub-portfolios VARs.
true
- has access to the whole distribution and could report a range of VAR numbers for increasing confidence levels.
Entire Distribution
- This measures the average of the loss conditional on the fact that it is greater than VAR.
conditional VAR
simple summary measure of the distribution
standard deviation
- What is the advantage and disadvantage of the standard deviation?
a. Advantage: it takes into account few observations, not all of it around the quantile; Disadvantage: it is symmetrical and cannot distinguish between large losses or gains.
b. Advantage: it takes into account all observations, not just the few around the quantile; Disadvantage: it is symmetrical and cannot distinguish between large losses or gains.
c. Advantage: it takes into account all observations, not just the few around the quantile; Disadvantage: it is assymmetrical and has the same differences
between large losses or gains.
d. Advantage: it takes into account few observations, not all of it around the quantile; Disadvantage: it is assymmetrical and has the same differences between large losses or gains.
b. Advantage: it takes into account all observations, not just the few around the quantile; Disadvantage: it is symmetrical and cannot distinguish between large losses or gains.
- simple extension of the usual standard deviation that considers only data points that represent a loss.
semi-standard deviation
True or false. The semistandard deviation is sometimes used to report downside risk, but is much less intuitive and less popular than VAR.
true
semi-standard deviation Accounts for _____ in the distribution which makes this measure advantageous.
assymmetries