32 - Valuation of Liabilities Flashcards

1
Q

What are the two main approaches to valuing liabilities?

A
  • Discounted cashflow approach based on long-term assumptions
  • Market-related or fair value approaches
  • Important to use consistent methods to value assets & liabilities
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2
Q

Discounted cashflow method outline:

A
  • Long-term assumption of future expected investment return is needed
  • Future liability cashflows are discounted to present value using this rate
  • For consistency, assets are also valued using the same approach, future cashflows discounted
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3
Q

Major criticisms of DCF method:

A
  • It places a value on assets different from mkt. value which introduces another element of risk
  • This method is inappropriate for short-term valuations eg. discontinuance valuation for benefit scheme or break-up valuation for insurance company
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4
Q

What are the two defns of fair value?

A
  • Amt. for which an asset could be exchanged or a liability settled b/w two knowledgeable willing parties in an arm’s length transaction
  • Amt. that the enterprise would have to pay a 3rd party to take over a liability
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5
Q

Why is identification of fair values/market values not practical for liabilities? What is done as a result?

A
  • Because there is no secondary market for many of the liabilities that actuaries are meant to value
  • As a result, mkt. based approaches such as replicating and option valuing techniques are used
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6
Q

Outline the mark to market method of valuing A/Ls:

A
  • Assets are taken at mkt. value
  • Liabilities are discounted at yields on investments that match the liabilities wrt term, currency & nature - often bonds
  • Bond yield may be based on govt. or corporate bonds -> latter allows for credit risk
    o Term-standard discount rates could be used to vary rates over time to reflect yield curve
    o Mkt. rate of inflation derived as diff. b/w yields on suitable portfolios of FI & IL bonds
  • This tends to be conservative approach to valuation since its based on bond yields
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7
Q

Outline bond yields + risk premium method of valuing A/Ls:

A
  • Assets taken at market value
  • Discount rate found by adjusting bond yields by adding a constant/variable ERP
  • Adding constant ERP gives same result as mark to mkt method except this usually results in lower value placed on liabilities
  • Adding variable ERP using mkt info & actuarial judgment gives a optimistic estimate of liabs
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8
Q

Outline the asset-based discount rate method of valuation:

A
  • Assets are taken at market value
  • Implied market discount rate calculated for each asset class eg
    o For FI securities it may by GRY
    o For equities it involves estimating discount rate implied by current mkt price & expected div/sale proceeds
    o Might be subjective for assets like property
  • Liabs are valued at the discount rate calculated as the weighted avg. of discount rates based on proportion of different asset classes held
  • Discount rate could also be determined using scheme’s strategic benchmark or the dbn of actual investment portfolio
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9
Q

Under what circumstances can an option/guarantee be exercised?

A
  • In situations where the guarantees make the option more financially advantageous (in the money)
  • Sometimes options are exercised even when the alternative would be better for the client financially eg. surrendering a LI policy because of having a better immediate use for the money
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10
Q

Why might a p/h exercise an option even if its not in their best financial interest?

A
  • Better immediate use for lump sum of cash eg. mortgage, financing home improvements, car, holiday
  • Beneficial tax treatment in the hands of the individual
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11
Q

How to value options & guarantees prudently?

A
  • Assuming that options will only be exercised “in the money” is highly prudent even for solvency calculation
  • Take up rate of the option will be set according to the level of prudence required
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12
Q

What are the factors affecting the value of options?

A
  • State of the economy (options must be scenario specific)
  • Consumer sophistication
  • Demographic factors eg. age, health, employment status
  • Cultural bias eg. preference for cash to spend immediately
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13
Q

Which method is the best for estimating the price of guarantees?

A
  • A stochastic approach which takes the class of business as a whole
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14
Q

What is sensitivity analysis used for?

A
  • Used to determine the risk margins to place on assumptions used to set provisions
    o While taking solvency capital into account
  • Used to determine the global provisions to be kept aside for potential future adverse experiences
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15
Q

Outline how to carry out sensitivity analysis:

A
  • Start with a set of central assumptions
  • Change one assumption at a time in a logical manner
  • Quantify the effect of assumption changes
  • Then test the effects of multiple assumption changes
  • Assumptions are usually neither independent nor fully correlated
    => Effect of applying two tests simultaneously will be less or greater than sum of individual effects
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16
Q

What are the methods of allowing for risk in cashflows of a DCF valuation?

A
  • Best estimate and margin
  • Contingency loading
  • Discounting cashflows at a risk premium
17
Q

Outline the best estimate & margin approach:

A
  • Risk margin built in by taking the best estimate assumptions and adding an explicit margin for the risk
  • Assessment of the risk margins depends on the risk involved (stability & nature) and its materiality to the final result
  • If all assumptions have small margins, the overall effect might result in an overly strong basis
18
Q

Outline the contingency loading approach:

A
  • Increase the liability value by a certain percentage
  • The contingency loading should reflect the degree of uncertainty that exists in the liability
  • Seen as arbitrary given the available methods
19
Q

Outline the discounting CFs at a risk premium approach and its characteristics:

A
  • Traditional DCF approach, CFs are assessed on best estimate basis
  • CFs are then discounted @ a rate of return which reflects the overall risk of the project or liability
  • Discount rate found is:
  • > Somewhat arbitrary
  • > Prescribed by firm’s governing body
  • > Frequently based on the opportunity cost of the firm not pursuing other business ventures
  • If discount rates are high, it can affect near and remote CFs disproportionately to the actual risk of the CFs
20
Q

What types of risks need to be allowed for in market consistent or fair valuation?

A
  • Financial risk

- Non-financial risk

21
Q

How to allow for financial risk in liability cashflow wrt market consistent approach?

A
  • Replicating portfolio approach implicitly allows for financial risk by taking mkt value of replicating assets
  • Stochastic modelling and the use of a suitably calibrated model
    o Allows for risk through a mkt. consistent volatility assumption used to generate investment outputs
  • Exclude risks associated w mismatched A/Ls when finding fair value
    o Fair value of liabs calculated should be independent of the assets held to meet liabs
22
Q

How to allow for non-financial risk in liability cashflow wrt market consistent approach?

A
  • Adjusting expected future CFs
  • Adjusting discount rate used
  • Holding extra provisions or capital req. (risk margin in Solvency II) against non-financial risks

Adjustments depend on:

  • The amount of risk
  • Cost of risk implied by mkt risk preferences
23
Q

What are the different methods of calculating provisions?

A
  • Statistical analysis
  • Case-by-case estimates
  • Proportionate approach
  • Equalization reserves
24
Q

Outline statistical analysis approach for calculating provisions:

A
  • Large population exposed to similar risk
  • Consequence of the risk follows a certain distribution approximately
  • Mathematical approach can be used to determine provisions at a given ruin probability
25
Q

Outline case-by-case estimate approach for calculating provisions:

A
  • Insured events are rare w large variability in outcome
  • Involves a claims assessor examining individual reported claims and assessing likely cost of settling the claim (case estimates)
26
Q

Outline proportionate approach for calculating provisions:

A
  • Provisions are made based on assumption that premium charged was a fair assessment of cost of risks, expenses and profits
  • x% of the premium allows for expenses & profits & (1-x)% of premium covers risk equally throughout policy period
27
Q

Outline equalization approach for calculating provisions:

A
  • For companies that have low probability risks with a highly volatile financial outcome
  • To smooth results a company establishes equalization reserves
  • It sets aside the profits from years without claims to smooth results when the claims actually occur

o Not all regulatory regimes recognize equalisation reserves -> It is seen as a method to defer profits & hence taxes