ILA-LPM C Flashcards
List 3 flaws in the traditional approach to pricing life insurance
- Unit-based profitability analysis
- Cost-plus approach for setting price
- Allocate non-marginal expenses on a unit basis
Describe flaws in the traditional approach to pricing life insurance:
- Unit-based profitability analysis
- (unit = policy, premium, etc.)
- Assumes total profit = profit per unit units sold (Q)
- Problem: in reality, Q = f (P) and f’(P) < 0
Describe flaws in the traditional approach to pricing life insurance:
- Cost-plus approach for setting price
- same problem as unit-based profitability analysis
- sets a price equal to cost of product + profit requirement
Describe flaws in the traditional approach to pricing life insurance:
- Allocate non-marginal expenses on a unit basis
- Problem: non-marginal expenses have no impact on optimal price
- When maximizing (differentiating) total profit, NME vanishes
- Overhead affects all choices equally and doesn’t vary with unit sales
- Therefore it shouldn’t affect decisions to sell additional units
Describe the problem of open decision points in product development
-
Marketing and actuarial usually can’t agree on price
- Marketing wants a lower price (higher sales)
- Actuarial wants a higher price to cover cost and profit
- The project stalls ⇒ “loops” through plan proposals and ends when:
- Time runs out
- Actuaries agree to get more aggressive with price
- Fatigue results in compromise
- One side triumphs through political power
Describe the 3 broad steps of decision making
- Identify decision set (all available choices)
- Evaluate financial consequences of each choice
- Make the optimal choice based on expected consequences
List the key changes of macro pricing
- Project-based analysis (instead of unit-based)
- Use of purely marginal expense assumptions
- Optimization of price
Who has the responsibility for final price decision?
Marketing
What are the primary advantages of macro pricing?
- Maximizes chance of reaching an optimal price
- Removes political considerations
- Closely aligns incentives of actuarial and marketing
Describe the key advantages of project-based analysis
- Key advantage: accounts for the law of demand
- Projects production and profitability over the product’s expected shelf life
- Typical shelf life is < 3 years
Describe 3 additional advantages of project-based analysis
- Results show actual financial impact on the company
- Easier for marketing/management to grasp than unit-based numbers
- More accurately reflects capital and development costs
- Allows for common sense decisions
- Unit-based analysis conceals total profit
Describe why pricing should be an optimization process
- Pricing should seek a profit-maximizing price
- Consider a range of possible sales levels
-
In reality, profitability can only be optimized; it cannot be chosen
- The optimal price may not provide enough total profit to justify the project
- Solution: look for other projects
Define and describe the importance of marginal expenses in pricing
- MEs can be eliminated by at least one option in the decision set
- Overhead = expenses that exist for all courses of action
- Overhead expenses are irrelevant when evaluating the decision set
- Allocating overhead is misleading and overstates the economic cost of any action
- Use of overhead undermines value-based decision making
But did we cover the overhead?
- This is a misguided question because:
- We can’t choose a total profit level (that’s up to the market)
- We can only optimize profit
Describe the relationship between marginal expenses and levels of decision-making
The level of decision making determines when a ME becomes a NME
-
Continue the company?
- MEs: C-suite salaries, buildings, etc.
-
Enter the term market, VA market, etc.?
- MEs: certain staff salaries, admin systems, etc.
-
Offer GLBs on the VA product?
- Now the higher level MEs have become NMEs
- At this level, pricing structures, admin system mods, etc. are MEs
Describe how the demand curve for life insurance products can be represented in the macro pricing process
-
The demand curve for ILA can’t be specified
- Players are biased
- ILA demand is complex and more of a “surface”
-
Solution: The Price-Production Graph
- Shows a range of possible prices and production levels
- Each row is a possible decision
Describe the macro pricing decision process when updating an existing product form
- Select a profit benchmark based on the existing product
- This is the “no action” decision
- Actuarial projects various combinations of price and production level
- Show neutral pairs of price/production to marketing
-
Marketing chooses its desired pair
- Will never know if it was the optimal price
- Marketing should make the final decision because:
- They have incentive to max out production
- They have the responsibility to meet production goals
Describe the macro pricing decision process when entering a new market
-
Marketing creates a set of equal-effort price/production pairs
- Choose a satisfactory pair
- If none are satisfactory, expand decision set
- Creates incentive for marketing to be diligent
-
Management sets benchmark = min required profit to carry out the project
- Same steps as updating an existing product forms
Describe how to account for product displacement in macro pricing
-
Displacement = lost sales on existing products result from sales of new products
- As new product price decreases, displacement increases
- Marginal Displacement Cost = Total Displacement - Residual Displacement
- Residual displacement is the level of independent of new product price
- Reflect marginal displacement in the price-production graph
- Separate graphs for each existing product that will be affected
- Distinguish between internal vs. external displacements (competitor-driven)
Describe the steps in the macro pricing algorithm
-
Steps 1–6: Product features, constraints, and possible prices
- Competitive focus, external constraints, retail prices, competitive comparisons, unit-based ME, wholesale prices
-
Steps 7–11: Additional work to complete the price-production graph
- Usages, sales profile, non-unit-based MEs, model office projections, price-production graph
-
Steps 12–15: Meet and either:
- Marketing makes a choice => refine design, finish product detail and file
- Determine scope of additional analysis
- Step 16: Expand Decision Set
Describe considerations when expanding the decision set
- Canceling is only an option if the decision set allows it
-
If canceling is not an option, marketing must pick the best option
- But they may “withhold it from the market”
-
If canceled, management will probably want to expand the decision set
- Other possible product forms
- Alternative product lines or even markets
-
Decision set expansion continues until one of these happens:
- Marketing finds an acceptable price-production pair
- Further expansion is impossible
- The top level of the company is reached (continue vs. discontinue enterprise)
List 4 ancillary effects of the macro pricing algorithm
- Reduced time for decision convergence
- Alignment of marketing and actuarial incentives
- Greater marketing responsibilities
- Subjective assumptions get closer scrutiny
Describe real world pricing approaches
- Uses real world scenarios (uncalibrated to market conditions)
- Discount rates include market risk premiums (higher investment income)
- Uses best estimate assumptions without margins
- Examples: IRR, premium margin, ROA, TEV
Describe risk-neutral pricing approaches
- Uses risk-neutral scenarios
- Requires market-consistent assumptions calibrated to current market prices
- Reflects non-hedegable (insurance) risk using a CoC approach
- Discount cash flows at risk-free rates or reference rate
- Adjust discount rate for illiquidity
- Gross of taxes and expenses (FCs)
- Reference rate usually swap rate adjusted for liquidity
Formula for market-consistent value of new business
MCVNB = PVFP – CNHR – FC – TVOG
List the 4 components of market-consistent value of new business
- PV Future Profits – PVFP (CEQ) and PVFP (Stochastic)
- Time Value of Financial Options and Guarantees (TVOG)
- Frictional Costs of RC (FC)
- Cost of Residual Non-Hedgeable Risks (CNHR)
Describe PV Future Profits (MCEV)
- Profits are post-tax, pre-CoC statutory book profits
- CEQ = “Certainty equivalent” deterministic RN scenario
- PVFP (CEQ) = PVFP (Stochastic) + TVOG
Describe Time Value of Financial Options and Guarantees (TVOG) (MCEV)
- TVOG = PVFP (CEQ) – PVFP (Stochastic)
- TVOG increase as the value of options and guarantees increase
Describe Frictional Costs of RC (FC) (MCEV)
- FC = PV investment expense and tax on RC
Describe Cost of Residual Non-Hedgeable Risks (CNHR) (MCEV)
- Reflects “cost” of wrong best estimate assumptions
- CNHR is a capital cost borne by shareholders
Describe the 6 steps to calculate the cost of non-hedgeable risk
- Shock base model: Mortality +15%, Mortality –20% (Longevity), Lapse +/-50%
- Calculate MVNL = PV(Cash Outflows – Cash Inflows) for each shock
- Calculate shock values
- Calculate economic requirement at time 0
- CNHR = CoC0 = 6% x EC0
- Convert CoC value to a percentage of first-year premium
- Use this factor throughout projection
Calculate shock values for cost of non-hedgeable risk (3)
- Shockmort = MVNLmort - MVNLbase
- Shocklong = MVNLlong - MVNLbase
- Shocklapse = max(MVNLlapseUp, MVNLlapseDown) - MVNLbase
Formula for the components of traditional value of new business
TEV = PVFP (RW) – RW TVOG – RW FC
Describe the components of traditional value of new business
- PVFP = PVDE on a RW basis
- Can be deterministic or stochastic
- Discount (hurdle) rate
- Top-down company-level WACC
- Bottom-up product-specific discount rate
What is the key omission in the formula for TEV and how does it relate to MCEV?
- CNHR
- Could theoretically calculate a cost of total risk (CTR)
- Risk-adjusted real world value of new business:
RARWVNB = TEV - CTR
- RARWVNB = MCVNB if company view of risk is the same as market’s
Describe the general pricing approach using real world traditional value of new business
- Project deterministic real world distributable earnings
- Adjust premiums until IRR ≈ 10–15%
- Calculate traditional measures (e.g. TEV) on a pre-tax basis
- Produce a deterministic source of earnings analysis
- Run stochastic and calculate TVOG = PVFP (RW Det) – PVFP (RW Stoch)
Describe the general pricing approach using risk-neutral market-consistent value of new business
- Project distributable earnings using a CEQ scenario (use RW premiums)
- Discount cash flows at reference rate or swap rate adjusted for liquidity
- Produce a deterministic source of earnings analysis
- Run stochastic and calculate MCVNB components (TVOG, etc.)
Describe how the profitability of life and annuity contracts varies between market-consistent and real world pricing approaches
- MCVNB is always lower than TEV
- Investment orientation lowers MCVNB, which assumes risk-free investment
- Affects annuity products especially, but also UL
- Options and guarantees lower MCVNB by increase TVOG
- Big impact on ULSG and annuities with guarantees
- High mortality and/or lapse risk lowers MCVNB by increase CNHR
- Affects products with high lapse or mortality risk
List some MCVNB implementation challenges
- Calibrating insurance liabilities to market variables is hard
- Management concerns
- Must reconcile MCVNB with traditional measures
- MCVNB results are volatile
- CNHR is understated unless you do nested stochastic
Contrast traditional pricing with risk based pricing
-
Traditional Pricing
- Price to achieve IRR > hurdle rate
- Assume risk premiums are earned before company is released from risk
-
Risk Based Pricing (Market-Consistent Pricing)
- Discount rate reflects risks in each product
- Risk premiums earned only when company is release from risk
- Market-consistent valuation of options and guarantees
- Uses risk-neutral scenarios
How is the market-consistent value of new business determined?
- VNB = PV Future Profits After Tax - Value of Options and Guarantees - CNHR - Frictional Costs of RC
- Frictional Costs of RC - Investment expenses, taxes, etc.
- CNHR = PV of 0–6% per year of non-hedgeable risk capital
How do you interpret the value of market-consistent value of new business?
- VNB > 0 ⇒ product increases shareholder value
- VNB = 0 ⇒ the minimum price for taking risk
-
Price product to maintain or increase franchise value
- Franchise Value = PV Future NB Profits ≈ Market Cap - EV
- Management gives input on final product charges
- Must balance product charges with sales volume and capital requirements
What should you expect when looking at product performance on a market-consistent basis?
- Products with more risk should show worse results than a products with less risk
- Risk based pricing reflects risk in projected profitability
Describe factors affecting product performance on a market-consistent basis
-
Level of guarantees (e.g. interest rate guarantees, VA guarantees)
- Higher guarantees ⇒ higher risk
-
Risk borne by company and shareholders
- Example: as asset credit quality decreases, risk increases
-
Management’s ability to adjust policy values to mitigate adverse experience
- Less ability ⇒ more risk
What types of products show better results on a market-consistent basis?
Winners: Products that emphasize insurance
- Term life
- Group life and health
- UL and VUL that emphasize death protection
What types of products show worse results on a market-consistent basis?
Losers: Products emphasize investment earnings (savings)
- Annuity products: payout annuities, immediate annuities, fixed deferred annuities
- Variable products: VA, VUL
- UL products that emphasize accumulation over death protection
Discuss trends in risk based pricing
- US GAAP fair value measurement (FAS 157 and FAS 159)
- European Insurance CFO Forum’s market-consistent embedded value principles
- Economic capital approaches like Solvency II
- M&A and securitization transactions
- ALM practices
- IFRS Phase II
Discuss trends in future benefits
- Better targeting of profitable products
- Understanding relative risks of products
- Respond to competitors using these tactics
Write out the formulas for distributable earnings
- ProdCashFlowt
- ProdCashFlowt = Premt - Bent - Expt
Write out the formulas for distributable earnings
- PreTaxSolvEarnt
- PreTaxSolvEarnt = ProdCashFlowt + InvIncomet - SovResIncrt
Write out the formulas for distributable earnings
- AfterTaxSolvEarnt
- AfterTaxSolvEarnt = PreTaxSolvEarnt - Taxt
Write out the formulas for distributable earnings
- DistEarnt
- DistEarnt = AfterTaxSolvEarnt - ReqCapIncrt + ATInvIncRCt
Write the pre-tax earnings for solvency and stockholder earnings
- ProdCashFlow(t) formula
=Prem(t) - Ben(t) - Exp(t)
Write the pre-tax earnings for solvency and stockholder earnings
- PreTaxSolvEarn(t) formula
=ProdCashFlow(t) - InvIncome(t) - SolvResIncr(t)
Write the pre-tax earnings for solvency and stockholder earnings
- PreTaxStockEarn(t) formula
=ProdCashFlow(t) + InvIncome(t) - BenResIncr(t) - DACAmort(t) + InvIncRC(t)
=PreTaxSolvEarn(t) + SolvResIncr(t) - BenResIncr(t) - DACAmort(t) + InvIncRC(t)
=ProdCashFlow(t) + InvIncome(t) - EarnRexIncr(t) + InvIncRC(t)
Compare timing differences with permanent differences (taxes)
-
Timing differences – differences in earnings that will eventually reverse
- Tax authorities prefer higher tax revenue (higher assets lower liabilities)
- Most common (and usually most significant) example:
TimingDiff(t) = SolvResIncr(t) - TaxResIncr(t)
-
Permanent differences – differences that will not reverse
- Example: non-deductible investment income
PermDiff(t) = InvIncome(t) x NonTaxInvPct(t)
Write the formulas for calculating taxable earnings
TaxableEarn(t) = PreTaxSolvEarn(t) + TimingDiff(t) + PermDiff(t)
=PreTaxSolvEarn(t) + SolvResIncr(t) - TaxResIncr(t) + PermDiff(t)
=ProdCashFlow(t) + InvIncome(t) - TaxResIncr(t) + PermDiff(t)
Write the formula for calculating tax
Tax(t) = TaxRate x TaxableEarn(t)
Describe how negative taxable earnings can affect profitability
-
At the company level, total tax cannot be negative
- New products will generate negative earnings
- Smaller insurers may not be able to deduct first year losses
- Results in higher capital and lower ROI
Describe the tax accounting treatment for capital gains and losses in the US
- Capital gains are immediately taxable
- Capital losses can only offset capital gains
- Capital losses can be carried forward to offset future capital gains
- Creates a timing difference
- If carryforwards are not used within 3 years, they expire
- Creates a permanent difference
Describe the tax on “investment income less expenses”
- Attempts to tax the annual increases in policyholder value and to the insurer’s earnings
- Some countries may use this or use it as a minimum tax
NOT used in the US or Canada
Formula for the tax on “investment income less expenses”
InvIncome(t) - Exp(t) = Ben(t) + SolvResIncr(t) - Prem(t) + PreTaxSolvEarn(t)
IETax(t) = IETaxRate x [InvIncome(t) - Exp(t)]
Describe tax on capital
- Certain types of capital maybe subject to tax (e.g. par surplus)
TaxOnCap(t) = TaxCapital(t) x CapTaxRate(t)
- Could be assessed in addition to tax on earnings or used as a minimum tax
Describe the purpose and function of DAC tax
- Temporarily increases taxable income as premiums are collected
- Reversed out over the next 10 years
- DACTaxAmount(t) = additions to DAC tax - deductions from DAC tax
TaxableEarn(t) = PreTaxSolvEarn(t) + TimingDiff(t) + PermDiff(t) + DACTaxAmount(t)
Describe the treatment of taxes under US GAAP (“stockholder”) accounting
- GAAP accounting reports taxes on an accrued basis
- Causes taxes to be a level % of pre-tax stockholder earnings
- DefTaxLiab = liability (or asset if negative) for future tax payments
Describe the treatment of taxes under US GAAP (“stockholder”) accounting
- Formula: Tax(t)
= TaxRate x TaxableEarnings
Describe the treatment of taxes under US GAAP (“stockholder”) accounting
- Formula: AccruedTax(t)
= TaxRate x PreTaxStockEarn(t)
Describe the treatment of taxes under US GAAP (“stockholder”) accounting
- Formula: DefTaxProv(t)
= AccruedTax(t) - Tax(t)
Describe the treatment of taxes under US GAAP (“stockholder”) accounting
- Formula: AfterTaxStockEarn(t)
= PreTaxStockEarn(t) - AccruedTax(t)
=(1 - TaxRate) x PreTaxStockEarn(t)
Describe the treatment of taxes under US GAAP (“stockholder”) accounting
- Formula: DefTaxLiab(t)
= DefTaxLiab(t-1) + DefTaxProv(t)
= TaxRate x [TaxRes(t) - EarnRes(t)]
Describe how the 2018 changes in US tax law will affect life insurers.
- Higher DAC tax rates (lowers A/T profits)
-
New tax reserve method based on 92.81% scalar applied to stat reserve
- Lowers A/T profits (less tax reserve to deduct)
-
Reduction in tax rate from 35% to 21% (dominate change)
- Increases A/T profits
-
Scale RBC factors by a factor of (1-0.21)/(1-0.35) ≈ 122%
- Lowers A/T profits (higher capital requirements)
- No guidance from NAIC yet though
List and describe the products whose profit measures increased due to US tax reform
- Current assumption universal life (CAUL)
- Term under VM-20
- Indexed universal life (IUL)
- Insurers could lower COI or keep current pricing
- Fixed indexed annuity (FIA) with GMWB
- Insurers could increase option budget or keep current pricing
List and describe the products whose profit measures decreased due to US tax reform
- Par whole life (WL) – may have illustration challenges
- Term under peak statutory (XXX) and AG 48
- Loss of tax leverage (less value in tax loss deductions)
Describe the following accounting-based profitability indicators.
- Book Value Per Share
= Book Value/Total Shares
Describe the following accounting-based profitability indicators.
- Price-to-Book Ratio
= Share Price/Book Value Per Share
Describe the following accounting-based profitability indicators.
- ROE
= Shareholder Profits/Shareholder Equity
- Advantages: Well understood, common
- Disadvantages: meaningful only at portforlio level
Describe the following accounting-based profitability indicators.
- Operating Margin
= Operating Profits/Net Premiums
- Advantages: Easy to compare
- Disadvantages: doesn’t reflect timing, CoC, or riskiness
Describe the following accounting-based profitability indicators.
- General Expense Ratio
=General Operating Expenses
- Advantages: Cross-company comparisons
- Disadvantages: Meaningful only for comparing similar business
Describe the following accounting-based profitability indicators.
- Benefits Ratio
=(Policyholder Benefits + Changes in Reserves)/(Premiums + Other Charges and Income)
- Advantages: Measures mortality/morbidity; easy to understand
- Disadvantages: Short-term focus is misleading
Describe the following accounting-based profitability indicators.
- Lapse Ratio
=Lapsed Policies or Face/In-Force Policies or Face
- Advantages: Indicates net persistency
- Disadvantages: May not accurately reflect timing
Describe the following accounting-based profitability indicators.
- Return on Assets (ROA)
Return on Assets = Profit/Total Company Assets
- Advantages: Easy to calculate; common for DAs
- Disadvantages: Not good for life products: may be volatile
Describe the following accounting-based profitability indicators.
- Net Investment Result
= Investment Gains – Impairments
- Good for products where this is important source of earnings
Describe disadvantages of accounting-based indicators
- Statutory focus is solvency, not income
- Rules vary throughout world
- Volatility of GAAP and IFRS earnings
- Poor at comparing new and existing business
- Not usually meaningful at the product level
- Assumptions are locked in
- No accounting for cost of capital
Describe market-consistent embedded value
- Assets are based on trading value
- Liabilities valued using replicating portfolios
- VIF highly sensitive to assumption changes
- More downside interest rate risk (asymmetric)
- Mortality and morbidity risk can be hedged (symmetric)
- May get trumped by emerging standards (Solvency II, IFRS)
Formulas for market-consistent embedded value (understanding profitability in life insurance)
- MCEV
MCEV = VIF + Required Capital + Free Surplus
Formulas for market-consistent embedded value (understanding profitability in life insurance)
- VIF
VIF = PV Future Profits - Value of Options and Guarantees
- Cost of Non-Hedgeable Risks - Frictional Cost of Req. Cap.
Formulas for market-consistent embedded value (understanding profitability in life insurance)
- Required Capital
Required Capital = MV of Capital Allocated to Support Business
Formulas for market-consistent embedded value (understanding profitability in life insurance)
- Free Surplus
Free Surplus = MV of Any Extra Allocated Capital
What are the components of an MCEV earnings analysis?
- New business
- Unwinding of existing business
- Experience variances and assumption changes
- Economic variances
Describe the advantages and disadvantages of the following MCEV-based profitability indicators
- MCEV
- Advantages: Measures long-term value; harmonized
- Disadvantages: May be volatility or not understood by investors
Describe the advantages and disadvantages of the following MCEV-based profitability indicators
- MCEV Earnings Analysis
- Advantages: Understand MCEV drivers
- Disadvantages: Can be volatile
Describe the advantages and disadvantages of the following MCEV-based profitability indicators
- Value of In-Force (VIF)
- Advantages: Shows BV net of relevant costs
- Disadvantages: Can be volatile
Describe the following MCEV-based profitability indicators
- Value of New Business (VNB)
- Advantages: Understand value of NB
- Disadvantages: May be overly optimistic
Describe the following MCEV-based profitability indicators
- New Business Margin
= VNB/NB Premiums
- Advantages: Compare to expected profit margins
- Disadvantages: May be overly optimistic
Describe the following MCEV-based profitability indicators
- Return on MCEV
= MCEV Earnings/MCEV
- Advantages: Complements ROE
- Disadvantages: May be overly optimistic
What are the 3 primary sources of earnings for insurers?
- UW Results - mortality, health, lapse products
- Investment Results - savings products
- Investment management fee income - unit-linked products
What are the primary sources of earnings for insurers and the risk factors that affect them?
- Underwriting Results
Underwriting Results – mortality, health, lapse products
- Worse-than-expected claims or surrenders
- Adverse selection and moral hazard
- Frequent product churning
What are the primary sources of earnings for insurers and the risk factors that affect them?
- Investment Results
Investment Results – savings products
- Insurer’s asset allocation
- Market performance
- Level of guarantees
- Investment expertise
- Policyholder loss sharing
- Duration mismatch
What are the primary sources of earnings for insurers and the risk factors that affect them?
- Investment Management Fee Income
Investment Management Fee Income – unit-linked products
- Market volatility
- Policyholder behavior
Compare the earnings emergence patterns between insurance and investment products for each of the account standards:
- US statutory
- US GAAP
- IFRS
- CALM
- Market-consistent balance sheet (Solvency II)
-
10-year level term followed by ART (pure insurance)
- US stat: heavy first year losses
- Solvency II and CALM: large first year profits
- US GAAP and IFRS: smoothest earnings
-
Single premium fixed deferred annuity (pure investment)
- US stat, Solvency II, and CALM: high first year profits
- US GAAP and IFRS: smoothest earnings
Describe the focus of each accounting standard:
- US statutory
- US GAAP
- IFRS
- CALM
- Market-consistent balance sheet (Solvency II)
-
Balance sheet focus: US statutory and Solvency II
- No mechanism to defer early gains/losses
-
Income statement focus: US GAAP and IFRS
- Various mechanisms to defer profits
-
Dual focus: CALM
- Mostly driven by PfAD release
How do earnings emerge for term insurance for US statutory?
large initial loss followed by high annual profits
- Year 1 loss driven by:
- Non-deferral of high acquisition costs
- Large initial reserves (mostly deficiency reserves)
- Year 2+: larger positive earnings than other bases (release of reserves)
How do earnings emerge for term insurance for US GAAP?
very stable earnings each year
- DAC offsets acquisition costs and defers
- Income emerges in proportion to premiums and as PADs are released
How do earnings emerge for term insurance for CALM?
GPV front-ends profits
- No mechanism to defer gains at issue
- PfAD release drives profits after first year
How do earnings emerge for term insurance for IFRS?
very stable (similar to but not quite as stable as US GAAP)
- CSM defers profit, then releases over time
- Large spike at end of level period (risk adjustment release)
How do earnings emerge for term insurance for Solvency II?
similar to IFRS, but much larger initial gain
- No CSM to defer profit
How do earnings emerge for fixed deferred annuities for US GAAP?
very stable each year
- DAC offsets acquisition costs and defers
- Income is based on fees and investment margins
How do earnings emerge for fixed deferred annuities for US statutory?
large year 1 profit, followed by a declining then rising pattern
- Falls through SC period (CARVM reserve Account Value)
- Rises substantially after SC period
How do earnings emerge for fixed deferred annuities for CALM?
GPV front-ends profits (highest of all methods)
- No mechanism to defer gains at issue
- PfAD release drives profits after first year
How do earnings emerge for fixed deferred annuities for IFRS?
very stable and very similar to US GAAP
- CSM defers profit, then releases over time
How do earnings emerge for fixed deferred annuities for Solvency II?
very high year 1 profits (2nd only to CALM)
- No CSM to defer profit
Describe the effect of various slope-introducing variables (SIVs) on GAAP ROI for a level term product
- Positive sloping SIVs
(cause GAAP ROI to rise)
- DAC interest rate
- GAAP mortality > pricing
- GAAP interest rate
Describe the effect of various slope-introducing variables (SIVs) on GAAP ROI for a level term product
- Negative sloping SIVs
(cause GAAP ROI to fall)
- DAC tax > 0
- RC on assets and reserves > 0
Describe the effect of various slope-introducing variables (SIVs) on GAAP ROI for a level term product
- Stat reserve method
- Unitary: positive sloping
- XXX segmented: negative sloping
List variables that change the level of GAAP ROI but not slope
- Premium rate per thousand and policy size
- Slope and level of mortality rates
- Lapse rates (as long as GAAP = pricing)
- Earned interest rate on required capital
- Tax rate
- Reinsuring with coinsurance
- Commissions and expenses (both direct and ceded)
- Required capital based on direct premiums
Categorize GAAP ROI = IRR
Level GAAP ROI conditions are not possible in practice!
List general factors to keep in mind for SOE
- Focus on significant profit drivers
- SOE is an art
- Internal management tool
- As sophistication of analysis increases, understanding decreases
- SOE principles are independent of accounting regime
What are the 3 traditional objectives of SOE analysis?
- Link profits directly with significant economic and actuarial drivers
- Traditional income statements are not very good at this
- Evaluate actual profits relative to valuation assumptions
- Evaluate actual profits relative to other expectations (e.g. plan/forecast, pricing)
How can SOE be used as a management tool?
- SOE expectations should be realistic
-
Benefits of using pricing assumptions for expected basis
- Promotes alignment of earnings and pricing objectives
- Actual results are feedback for pricing
- Pricing assumptions are usually already in an SOE-like format
- Should connect management actions/responsibilities with results
- SOE shows how different business units performed
- Common earnings language for international companies
List requirements for implementing an SOE analysis framework
- Need program that does projections of SOE
- Must choose a level of precision
- Must account for effects from changing formulas
- Must account for timing differences in accruals
- Include riders, supplemental benefits, etc.
- Reinsurance impact
- Formulas used will change by type of product
List challenges when implementing an SOE analysis framework
- As level of detail increases, credibility decreases
- Complex products are logistically hard
- Updating actuarial assumptions
- Reconciling data across different systems
Write out the Fackler reserve formula
(Vt + NP - ME) x (1 + ig) - qx(w) x CSV - (qx(d) x DB) = tpx x Vt+1
Write out all the pieces of the FAS 60 analysis of change in reserve:
- Renewal Net Premium
- GAAP Basis
- +l*xNP
- Actual’ or Plan’’ Basis
- +l*xNP
Write out all the pieces of the FAS 60 analysis of change in reserve:
- Beginning Reserve
- GAAP Basis
- l*xVt
- Actual’ or Plan’’ Basis
- l*xVt
*where (qx’ - qx)Vt+1 = experience adjustment on death or lapse
Write out all the pieces of the FAS 60 analysis of change in reserve:
- Tabular Interest
- GAAP Basis
- +l*x(ig)(Vt + NP - ME)
- Actual’ or Plan’’ Basis
- +l*x(ig)(Vt + NP - ME)
Write out all the pieces of the FAS 60 analysis of change in reserve:
- Reserve Released on Death
- GAAP Basis
- -l*xqx(d)DB
- Actual’ or Plan’’ Basis
- -l*x [qx(d)DB + (q’x(d) - qx(d))Vt+1]
*where (qx’ - qx)Vt+1 = experience adjustment on death or lapse
Write out all the pieces of the FAS 60 analysis of change in reserve:
- Reserve Released on Lapse
- GAAP Basis
- -l*xqx(w)CSV
- Actual’ or Plan’’ Basis
- -l*x [qx(w)CSV + (q’x(w) - qx(w))Vt+1]
*where (qx’ - qx)Vt+1 = experience adjustment on death or lapse
Write out all the pieces of the FAS 60 analysis of change in reserve:
- Ending Reserve
- GAAP Basis
- l*x(1px)(Vt+1)
- Actual’ or Plan’’ Basis
- l*x(1p’x)(Vt+1)
Write out the formulas for calculating SOE variance directly:
- Profit Margin Variance
Actual’-to-Plan’’ Variance:
lx x GP - lx x GP = 0
Write out the formulas for calculating SOE variance directly:
- Inv. Inc. Experience Variance
Actual’-to-Plan’’ Variance:
lx x (i’ - i’’) x (Vt + NP - ME)
Write out the formulas for calculating SOE variance directly:
- Mortality Experience Variance
Actual’-to-Plan’’ Variance:
lx x (qx’‘(d) - qx‘<span>(d)</span>) x (DB - Vt+1)
Write out the formulas for calculating SOE variance directly:
- Surrender Experience Variance
Actual’-to-Plan’’ Variance:
lx x (qx’‘(w) - qx‘<span>(w)</span>) x (CSV - Vt+1)
Write out the formulas for calculating SOE variance directly:
- Expense Experience Variance
Actual’-to-Plan’’ Variance:
lx x (ME’’ - ME’)
Write out formulas for a FAS 97 SOE analysis
- FAS 97 Profit
= Profit Margin + Investment Spread + Claims Experience
+ Expense and DAC Experience
Write out formulas for a FAS 97 SOE analysis
- Profit Margin
= (COI Charges - Expected Claims Paid) + Expected Spread Income + (Expense Charges - DAC and ME Funding)
Write out formulas for a FAS 97 SOE analysis
- Investment Experience
= (Net Investment Income - Interest Credited) - Expected Spread
=”Investment Spread” - Expected Spread
Write out formulas for a FAS 97 SOE analysis
- Claims Experience
= - (DB - Account Value) + Reserve Released on DB
Write out formulas for a FAS 97 SOE analysis
- Expense and DAC Experience
= DAC and ME Funding - Expenses - DAC Amortization + DAC True-Ups
What are the shortcomings of artificial value measurement systems?
- Mask true value in a company
- Mislead managers about key risks
- Vary greatly across product lines and countries → comparisons are difficult
- Overly conservative
How are insurers financial intermediaries?
- Liability-driven financial intermediaries
- Reduce policyholder’s credit exposure
How do insurers create value?
- Selling contracts for more than the production and frictional costs
- Achieving investment returns greater than base CoC benchmark
Franchise Value
= Total Company MV - Economic Net Worth
Total Company MV
= sum of:
- Future profits on current business
- Future profits on future new business
Economic Net Worth
= MV Assets - Economic Value of Liabilities
What are the components of an insurer’s cost of capital, and how is it different from a leveraged investment fund?
CoC = opportunity cost of shareholders’ capital
- An insurer’s CoC is higher than a leveraged investment fund’s CoC
Insurer CoC = Base CoC + Frictional Costs + Liquidity Value + Option to Default
Base CoC = Benchmark Portfolio Return - Replicating Portfolio Return
Basic steps to establish a replicating portfolio
- Project liability cash flows (premiums, claims, expenses, etc.)
- Project frictional costs
-
Calculate net liability cash flow at each future point in time
- Net CF = Premiums – Claims – Expenses – Frictional Costs
- Economic Liability = PV(Net CF) at risk-free rate
Replicating Portfolio MV formula
= Economic Value of the Liabilities
= Long zero-coupon bonds to match years with negative net – Short zero-coupon bonds to match years with positive net CF
Replication risk
inability to find a portfolio that replicates liability cash flows
List 4 kinds of frictional capital costs
- Agency Costs
- Cost of Financial Distress
- Regulatory Restriction Costs
- Double Taxation
Describe Agency Costs
- Compensates Shareholders for:
Lack of transparency
- Value:
5–200 bps of total capital
Cost of Financial Distress
- Compensates Shareholders for:
Risk of insurer insolvency
- Value:
10–20% of market value
Regulatory Restriction Costs
- Compensates Shareholders for:
Not being to use capital elsewhere
- Value:
0–200 bps of restricted capital
Double Taxation
- Compensates Shareholders for:
Taxes paid on income before it can be distributed to shareholders
- Value:
Tax Rate x Taxable Income
What are the 5 drivers of the cost of risk-taking?
- Base CoC
- Double Tax
- Cost of Financial Distress
- Agency Costs
- Regulatory Capital Costs
What are the 5 drivers of the cost of risk-taking?
- Base CoC
- Base CoC – Minimum benchmark return for asset management
What are the 5 drivers of the cost of risk-taking?
- Double Tax
- Double Tax – Insurers may seek low-tax investments
What are the 5 drivers of the cost of risk-taking?
- Cost of Financial Distress
- Cost of Financial Distress – Franchise value size drives risk capital / risk transfer needs
What are the 5 drivers of the cost of risk-taking?
- Agency Costs
- Agency Costs – Mitigate by increasing reputation value
What are the 5 drivers of the cost of risk-taking?
- Regulatory Capital Costs
- Regulatory Capital Costs – Driven by regulatory environment
Describe an insurer’s liquidity value
-
Liquidity Value
- When the insurer earns a spread over risk-free rate by investing in less liquid assets
Describe an insurer’s option to default
-
Insurer’s Option to Default
- An insurer won’t be able to pay its liabilities if insolvent
- Adds risk to insurance cash flows—from policyholder’s perspective
- If an insurer defaulted, franchise value would be hurt
What are the key points relating to an insurer’s liquidity value and option to default?
- Both are an asset relative to the existing liabilities
-
Value = difference in PV of insurance cash flows. . .
- Discounted at risk-free rates
- Discounted at risk-free rates plus a spread (e.g. 50 bps)
- Both are part of restricted capital (can’t be distributed)
How do you calculate economic profit?
Economic Profitt = Net CF after Frictional Costst + InvReturnt - (EVLt - EVLt-1)
InvReturnt = Replicating Portfolio MVt - Replicating Portfolio MVt-1
Describe the treasury function and performance attribution analysis
- Treasury function and transfer pricing
-
Treasury function and transfer pricing
- Separates underwriting profits from investment gains/losses
Describe the treasury function and performance attribution analysis
- Insurance attribution analysis
-
Insurance attribution analysis
- Impact of new business
- Deviations from expected experience
Describe the treasury function and performance attribution analysis
- Investments attribution analysis
-
Investments attribution analysis
- Asset allocation effects
- Currency selection
- Stock selection
- Sector selection
How can a company set economic value targets?
- If actual economic profit > expected economic profit, share prices increases
- Base on long-term interest rates
- Consider impact of new business
- Benchmark against other companies
How can a company set incentive compensation?
- Link directly to economic value creation
- Reward good decisions on an ex ante basis (before risks are realized)
- Don’t give managers a free put option
- Don’t based incentives solely on economic profit for high-risk business with
- extreme swings
- Suggested approach:
- Set baseline target bonus
- Adjust bonus based on manager or business unit performance
List 2 types of non-economic methods of estimating insurance profitability
- Embedded Value = PVDE
- RAROC = PV(Economic Profit) / (Risk Capital)
Describe embedded value as a non-economic method of estimating insurance profitability and what are it’s shortcomings?
Embedded Value = PVDE
- Biased toward higher-yielding assets
- Ignores frictional costs other than regulatory restrictions
- Regulatory capital charges are highest for lowest yielding assets
- Does not easily accommodate options and guarantees
Describe risk-adjusted return on capital (RAROC) as a non-economic method of estimating insurance profitability and what are it’s shortcomings?
RAROC = PV(Economic Profit) / (Risk Capital)
- Assumes all capital costs are proportionate to economic capital
- Hurdle rate is based on CAPM, which ignores frictional costs
- Don’t use CAPM for CoC!
- Only considers capital in first year
- Discounts expected returns at the expected earned rate
- Creates incentives to take investment risk
Define the following:
- VM-20
-
VM-20 – VM section containing PBR methodology
- Replaces XXX and AG38 with principles-based approach
- Reserve is generally much lower (especially term)
Define the following:
- Model 830 Reserves
-
Model 830 Reserves (a.k.a. XXX or AG38 reserves)
- XXX = US stat reserving for term
- AG38 (“AXXX”) = US stat reserving for ULSG
Define the following:
- AG48
-
AG48 – governs XXX/AG38 financing transactions
- Insurers often finance the excess XXX/AXXX reserve
- Methods: securitizations, captive reinsurance, etc.
Describe how reserves are determined under VM-20
- Excess Reserve: SR
-
SR = aggregate stochastic CTE 70 reserve
- Same liability cash flows as DR
- Asset performance and discount rates vary by scenario
- Calculate the greatest PV of accumulated deficiencies (GPVAD) for each scenario
- CTE 70 = average of the 30% worst GPVADs
Describe how reserves are determined under VM-20
VM-20 Reserve = NPR + Excess Reserve
Describe how reserves are determined under VM-20
- NPR
-
NPR = formulaic reserve with prescribed assumptions
- Valuation interest rate locked in at issue
Describe how reserves are determined under VM-20
- Excess Reserve
Excess Reserve = max(DR, SR) - NPR, if any
Describe how reserves are determined under VM-20
- Excess Reserve: DR
-
DR = deterministic gross premium reserve (PV Ben - PV Gross Premiums)
- Mix of prescribed and experience assumptions
- Discount rate and experience assumptions can change after issue
Describe how the following will impact level term profitability.
- Changing from the 2001 CSO to 2017 CSO mortality table
- Changing from XXX to VM-20 reserving
-
Before VM-20 (under XXX stat reserving)
- Financed products are most profitable
- Heavy tax benefit since tax reserve = unfinanced XXX reserve
- 2017 CSO helps non-financed but hurts financed (reduces tax benefit)
- Financed products are most profitable
-
After VM-20 and 2017 CSO:
- Non-financed products are better off
- Financed products are worse off
Describe how the following will impact ULSG profitability.
- Changing from the 2001 CSO to 2017 CSO mortality table
- Changing from AG38 to VM-20 reserving
-
Before VM-20 (under AG38 stat reserving)
- Financed products are most profitable
- Heavy tax benefit since tax reserve = unfinanced AG38 reserve
- 2017 CSO hurts (deficiency Vx’s counteract relief)
- Financed products are most profitable
-
After VM-20 and 2017 CSO:
- Immaterial impact on non-financed products
- Financed products are worse off
Describe key product design considerations for companies who plan to continue selling term and ULSG products after VM-20
-
Financing XXX/AG38 reserves generates heavy tax benefits
- Highest IRR and lowest surplus strain
- Tax benefits are higher under 2001 CSO mortality than 2017 CSO
- VM-20 lowers reserves but eliminates tax benefits (assuming no financing)
-
Term writers that do NOT finance reserves will have higher profits
- Or be able to lower premiums to gain competitive advantage
-
Term and ULSG writers that finance reserves will see profits fall
- May have to raise premiums
- May have to change (simplify) ULSG product design
Describe the impact of the following sensitivities to level term and ULSG products priced under VM-20:
- Reduce gross premium by 10% (term only)
-
Reduce gross premium by 10% (term only)
- Significantly hurt term IRR (cut in half)
- Key point: lower GP hurts cash flow AND increases DR
Describe the impact of the following sensitivities to level term and ULSG products priced under VM-20:
- Mortality improvement assumed in pricing is not realized
-
Mortality improvement assumed in pricing is not realized in DR
- Hurts IRR slightly due to loss of tax benefits (tax Vx lower)
- Key point: tax benefits are maxed when VM-20 reserve = NPR
Describe the impact of the following sensitivities to level term and ULSG products priced under VM-20:
- Assume discount rates set at pricing are never changed
-
Assume discount rates set at pricing are never changed
- No impact on term since NPR prevailed already
- Hurt ULSG profits since max(DR, SR) > NPR
Describe considerations for the following issues as companies transition to pricing
under VM-20:
- Possible changes to ULSG design
- ULSG designs may get simpler since AG38 goes away
- ULSG products may begin emphasizing accumulation more (or offer ROP)
- VM-20 requires low ultimate T100 lapses for minimally funded ULSG
- Higher accumulation values = higher incentive for policyholder surrender
- If companies can justify higher lapse rates, VM-20 reserve will fall
Describe considerations for the following issues as companies transition to pricing
under VM-20:
- Small vs. large companies
- Smaller companies may be less competitive due to lack of credible experience
Describe considerations for the following issues as companies transition to pricing
under VM-20:
- Reinsurance pricing
- Reinsurance pricing will become more robust, but must be done just as fast
Describe considerations for the following issues as companies transition to pricing
under VM-20:
- Allocating aggregate reserves
- Aggregate SRs must be allocated to cell level for pricing
- More of an issue for ULSG since SR is more material