Chapter 23 Flashcards

1
Q

What are the two fundamentally different purposes for valuing assets and liabilities?

A
  • Demonstrate solvency to supervisory authorities
    Involves a minimum valuation standard
    May require that prudent assumptions are used to make the chance of failing to meet liabilities acceptably small
  • Investigate realistic/”true” position of the life company
    For internal management purposes to give a picture undistorted by various margins inherent in the solvency valuation
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2
Q

What are the typical uses of determining the realistic position of the life insurance company?

A
  • Help determine the LT sustainability of profit distribution rates and hence determine the current bonus declarations.
  • Help determine the realistic profitability of the company for the information of shareholders and management.
  • Assist in general financial management of the life company.
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3
Q

What are the 2 primary reserving methods?

A
  • Gross premium valuation method
  • Net premium valuation method
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4
Q

The GPV method is a method for placing value on LIC’s liabilities that explicitly values:

A
  • Office premiums payable
  • Expenses
  • Claims
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5
Q

How is the reserve calculated under the GPV method?

A

(PV of expected future benefit outgo) + (PV of expected future expenses) - (PV of expected future premiums)

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6
Q

What are the different approaches under the GPV method?

A

The CF approach and the formula approach

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7
Q

How does the CF approach work under the GPV method?

A

The net CFs are calculated for each future point in time and discounted back.

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8
Q

What may prudence in reserves lead to?

A

It may lead to reserves being positive even at policy commencement.

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9
Q

What is the normal trend for reserves?

A

The normal trend is for reserves to start negative and progress smoothly into the policy benefit.

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10
Q

How does the structure of a UL contract work with regards to the company’s liabilities?

A

It is such that the company’s liability is denominated partly in terms of units and partly monetary terms.

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11
Q

What are some of the non-unit liabilities?

A
  • Admin expenses
  • Mortality costs if not all paid for by unit deductions
  • Future cost of guarantees
  • Future guarantee subsidy of allocation rate if not covered by margins in unit pricing
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12
Q

Define the unit reserve.

A

The part of the reserve that the LIC needs to set up in respect of unitised contracts. It represents the liability in terms of the units held under the unitised contracts.

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13
Q

How will the unit reserve be calculated?

A

The number of units multiplied by the bid value of the units.

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14
Q

Define the non-unit reserve.

A

The PV of the excess of the non-unit outgo over the non-unit income.

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15
Q

How is the non-unit reserve defined in a prudential valuation?

A

It is defined as the amount required to ensure that the company can pay claims and meet its continuing expenses without recourse to future finance.

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16
Q

How is the non-unit reserve defined in a best estimate valuation?

A

It is the value of all the future non-unit CFs - would not disregard the CFs occurring after the last projection period in which there is a net outflow

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17
Q

What is a negative non-unit reserve?

A

It represents a loan from other contracts which have positive non-unit reserves. The loan will be repaid by emerging future profits from the policy for which the negative non-unit reserve is held.

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18
Q

What is the purpose of negative non-unit reserves?

A

It may be used to take advance credit for future excess positive CFs to reduce the capital strain in a prudential valuation.

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19
Q

What are some of the regulations with regards to negative non-unit reserves?

A
  • Negative non-unit reserves may not be permitted in some regulatory regimes.
  • Sum of the unit and non-unit reserves may not be less than the SV.
  • Future profits on policies with negative non-unit reserves must arise early enough to repay the “loan”.
  • No future negative CFs after allowing for the non-unit reserves.
  • The sum of the non-unit reserves may not be negative - regulations might state that the negative reserves cannot be offset against unit reserves.
20
Q

What is the impact of negative non-unit reserves on the total reserves?

A

It reduces the total reserve under a contract and hence improves the capital efficiency of the product.

21
Q

Is it possible to make a future loss if you make use of negative non-unit reserves?

A

Yes, therefore the negative non-unit reserves should not be too big.

22
Q

How will a prudent approach work for the non-unit reserve?

A
  • Calculate future positive CFs to be lower than best estimate.
  • The rate of interest used to discount CFs should be higher than best estimate for negative non-unit reserves.
  • The rate of interest used to discount CFs should be lower than best estimate for positive non-unit reserves.
  • The survival rates should be lower than best estimate.
23
Q

What are the important features of the GPV method?

A
  • Explicit allowance is made for expenses.
  • Explicit allowance can be made for vested and expected future business.
  • Future premiums valued are the actual premiums expected.
  • The difference in the pricing and valuation bases will immediately be taken as a profit or a loss.
  • Reserves may initially be negative for non-linked business partly due to initial expenses and capitalising expected future profit.
  • Reserves tend to be quite sensitive to changes in basis.
24
Q

How is the reserve calculated under the net premium valuation method?

A

(PV of expected future benefit outgo) - (PV of future net premiums)

25
How are the PVs calculated under the net premium valuation method?
The PVs are calculated on the basis of interest and mortality only - no explicit allowance is made for expenses
26
What will the benefit outgo include and exclude?
The benefit outgo will include any bonuses declared to date, but it will not include explicit allowance for future bonuses.
27
What is the net premium under the net premium valuation method?
The premium the company would charge to cover the initial guaranteed benefit only.
28
What are the key features of the net premium valuation method?
* It is simple * It makes no explicit allowance for future expenses - possible to make implicit allowance, e.g. future annual expenses < office premium - net premium * Makes no explicit allowance for future bonuses - possible to make implicit allowance, e.g. future annual bonuses < office premium - net premium * It only works for a regular premium basis - reserves are relatively insensitive to changes in the valuation basis
29
How do you determine the value of the assets under the market-consistent valuation method?
You use the market values.
30
How do you determine the value of liabilities under the market-consistent valuation method?
* You set the future unknown parameter values and CFs such that the value of the liability is equal to the value of the assets with a similar CF profile * E.g. annuity liability: set of zero-coupon bonds with matching amounts and terms to annuity payments
31
How are the investment returns and RDR determined under the market-consistent valuation approach?
It is set equal to the risk-free rate of return.
32
How is the risk-free rate determined?
It is usually set equal to the yield on GBs or swap rates.
33
When should you use swap rates for the risk-free rate of return?
Only use swap rates where the market is deep and liquid so that large trades do not affect market prices.
34
Are swaps and GBs entirely risk-free?
No, therefore some allowance for credit risk needs to be made - by means of a deduction.
35
Why can you take credit for the illiquidity premium on corporate bonds under certain circumstances?
If you hold the CB until maturity, meaning you are not selling it, then you are not exposed to the liquidity risk of a CB, and therefore there are less risk attached to the CFs of the CB, and you can discount at a higher rate.
36
What are the results of taking credit for the illiquidity premium under CBs?
* Discount liabilities at a higher rate than the risk-free rate. * The solvency position would improve since liabilities carry a lower value.
37
To which liabilities will the ability to take credit for the illiquidity premium be restricted?
It will be restricted to predictable, LT liabilities where assets can be held to maturity: * Since the insurer is not exposed to the risk of changing spreads on such assets * Predictable: a large block of annuities - predictable mortality experience and no possibility of withdrawal
38
Can you take credit for the credit risk premium loaded in the yield of CBs?
No.
39
Will there be strict rules as to how and when you can take credit for the illiquidity risk premium under CBs?
Yes: * Restriction on the types of contracts for which this method is allowed * Restrictions on the investment strategy
40
Why can market-consistent assumptions be difficult for some elements of the basis?
The markets may not be deep or liquid enough to trade or hedge these risks.
41
For which elements may it be difficult to set market-consistent assumptions?
* Mortality * Persistency * Expenses
42
What is a possible solution of not being able to set market-consistent assumptions for some elements of the basis?
* Start with the best estimate basis * Add risk margins to each best estimate assumption - to reflect the inherent uncertainty
43
What does the margin added to best estimate assumptions reflect?
It reflects the compensation required by the market in return for taking those uncertain aspects of the liability CFs.
44
What is an alternative approach to risk margins?
The cost of capital approach.
45
How does the cost of capital approach work?
* You project the additional capital required, in respect of each of the risks, at future dates based on a regulatory basis. * The projected capital amounts are then multiplied by a cost of capital rate. * The result of the previous step is then discounted at market-consistent rates to find the additional margin.
46
How is the cost of capital rate determined?
* It is equal to the difference between the yield that would have been achieved on the assets that the shareholders wanted to invest in and the risk-free rate. * Excess of the WACC over the risk-free rate, and hence may be term dependent or may be fixed by legislation - 6% under Solvency II and SAM.