29.1 Risk measurement Flashcards

1
Q

Risk quantification

A

Must assess:
o Prob of event occurring
o Expected loss thereof
Usually RV, may not be esp if there’s a single event insurance risk

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Risk quantification methods

A
  1. Subjective assessment
  2. Models
  3. Operational risk assessment
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Subjective assessment

A
  • Either 3-point scale or 5-point scale (5- High; 4- medium-high; etc)
  • Product of probability assessment and impact assessment gives scale of 1-25 (or 1-9) as assessment of risk
  • Carried out w and w/o controls to assess effectiveness vs cost
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Models

A
  • Assign distribution to probability and loss
  • E.g. firm may define market risk event from equities as 25% fall in equities over year. Then …
  • … research historic data to find prob distr. Parameter chosen for fall in equity market must be consistent with risk appetite.
  • Alt, set frequency of loss event in advance, and use it to find size of parameter. E.g. …
  • … 0.5% prob of equity fall may involve 40% market movement
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Features of a risk that favour use of stochastic modes

A

 Has a high score (high severity and/or frequency)
 High variability of possible outcomes
 Relates to financial guarantees/options
 Involves mismatching of A+L

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Operational risk

A
  • Impractical to quantify because so many risk events
  • Events rare and independent&raquo_space;> little/no effect on business’ aggregate exposure

Methods:

  1. Add % uplift to agg risks other than operational risk
  2. Scenario analysis
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Examples of scenario analysis categories for operational risk

A
o	Fraud
o	Loss of key personnel
o	Mis-selling of financial products
o	Calculation error in computer system
o	Loss of business premises
o	Loss of company email access for 72 hours
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Evaluating risks

A
  1. Scenario analysis
  2. Stress testing
  3. Stress scenario
  4. Reverse stress testing
  5. Stochastic modelling
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Scenario analysis uses

A

Used if: Difficult to fit probability distribution to risk events
- Operational risk
- Impact of fin risks like global recession
Drawback: Doesn’t quantify probability

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Steps to scenario analysis

A
  1. Group risks into broad categories using senior staff input
  2. Plausible risk scenario that represents every risk in that group
  3. Translate each scenario into assumptions for various factors in the model and calculate consequences of risk happening
  4. Total costs = sum of financial cost from each group
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Stress testing

A
  • Model extreme events
    •E.g. for market risk, subject asset portfolio to extreme market movements by changing underlying assumptions and characteristics…
    •… to get insight on portfolio’s sensitivities to predefined risk factors.
    •Esp if asset correlations and volatilities increase in extreme events
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Types of stress testing

A
  1. Identify weak areas in portfolio and investigate effects of localised stress situations by looking at effect of diff combinations of correlations and volatilities.
  2. Gauge impact of major market turmoil affecting model parameters while ensuring consistency between correlations while they are stressed.
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Stress scenario

A
  • Scenario analysis + stress test

- SA identifies factors impacted under chosen scenario and then stress testing is applied to these

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Factors affected by sustained reduction in market movements for unit-linked co

A

o Income received from fund management charges
o Persistency of existing investment bonds
o New business volumes
o Provider’s regulatory capital requirements
o Value of shareholder’ interests
o Probability of guarantees biting

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Reverse stress testing

A

• Constructing a severe stress test that just allows business to continue to operate its business plan

May be regulatory requirement

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Stochastic modelling

A
  • Can determine capital necessary to just avoid ruin at any prob
  • Run times may be long + complex to build
17
Q

Improving run times in stochastic model

A
  1. If risk criterion is 1-year ruin probability: restrict duration to 2 years. Some parts of model such as reserve calculations still need projections to run-off.
  2. Limit # of risk variables modelled stochastically. Variables that have adverse effect when moving in 1 direction can be modelled deterministically.
  3. Carry out # of runs with diff single stochastic variable, then a single deterministic run using all the worst-case scenarios together.
18
Q

Aggregating risks

A
  • Sum of individual risks may be > than effect of multiple risks because of diversification or less than perfect (or sometimes) negative correlation.
  • Numerical agg of risks is used to agg the capital requirements to cover risk at a pre-determined prob level.
19
Q

Examples of correlated risks

A
  • Inflation risk and expense risk heavily correlated for long-term fin products.
  • Traditionally equity markets moved in opp direction to interest rates (not obvious in recent years)
  • Falling equity markets and increasing lapse rates on unit-linked savings products.
  • Operational risk likely to be correlated with all other risks.
  • Longevity risk on annuity book strongly negatively correlated with mortality risk on term assurance
20
Q

Other aggregation methods

A

Copulas

Correlation matrices

21
Q

Risk measures

A

Deterministic

  1. Notional approach
  2. Factor sensitivity analysis
  3. Scenario sensitivity analysis

Probabilistic

  1. VaR
  2. Ruin probability
  3. TVar
  4. Deviation (Tracking error and standard deviation)
  5. TVaR:Var
22
Q

Merits of notional approach

A

Advantage: Simple to implement and interpret across diverse range of orgs.

Disadvantages

  • use of “catch all” weighting for undefined asset classes
  • Possible distortions to market caused by increased demand for asset classes with high weightings
  • Treating short positions as exact opposites of equivalent long position
  • No allowance for concentration risk since risk weighting is same irrespective of whether investment in that class consists of single security/variety of diff securities
  • Probability of changes A/L isn’t quantified
23
Q

Merits of factor sensitivity analysis

A

Advantage: Increased understanding of drivers of risk

Disadvantages

  • Not assessing wide range of risks
  • Difficult to aggregate over different risk factors
  • Probability of changes in A/L isn’t quantified
24
Q

Merits of VaR

A

Advantages:

  • Simplicity of expression
  • Intelligibility of units (money)
  • Applicable to all types of risk
  • Applicable over all sources of risk so easy comparison between products and businesses
  • Ease of transition into a risk benchmark e.g. risk limit

Disadvantages:

  • No indication of distribution of losses greater than the VaR
  • doesn’t quantify tail =. Can underestimate asymmetric and fat-tail risks
  • Sensitive to data, parameters and assumptions
  • Not always sub-additive
  • If used in regulation, may encourage herding&raquo_space;> increasing systemic risk