STRATEGIC ASSET ALLOCATION: LIABILITY RELATIVE
Last updated
Last updated
Learning Outcome
recommend and justify an asset allocation based on an investorâs objectives and constraints
To illustrate the liability-relative approach, we take the defined benefit (DB) pension plan of (hypothetical) GPLE Corporation, with case facts given below.
A Frozen DB Plan, GPLE Corporation Pension
Name: GPLE Corporation Pension
Narrative: GPLE is a machine tool manufacturer with a market value of $2 billion. GPLE is the sponsor of a $1.25 billion legacy DB plan, which is now frozen (i.e., no new plan participants and no new benefits accruing for existing plan participants). GPLE Pension has a funded ratio (the ratio of pension assets to liabilities) of 1.15. Thus, the plan is slightly overfunded. Responsibility for the planâs management rests with the firmâs treasury department (which also has responsibility for GPLE Corporation treasury operations).
Tax status: Non-taxable.
Financial assets and financial liabilities: Assets amount to $1.25 billion at market values. Given a funded ratio of 1.15, that amount implies that liabilities are valued at about $1.087 billion. Projected distributions to pension beneficiaries have a present value of $1.087 billion at market value.
GPLE does not reflect any extended assets or liabilities; thus, economic net worth is identical to traditional accounting net worth.
Exhibit 10:
GPLE Pension Economic Balance Sheet (in US$ billions) 31 December 20x6
Assets
Liabilities and Economic Net Worth
Financial Assets
Financial Liabilities
Pension assets
1.250
PV of pension liability
1.087
Economic Net Worth
Economic net worth
0.163
Total
1.250
1.250
GPLE, the plan sponsor, receives two asset allocation recommendations. Recommendation A does not explicitly consider GPLEâs pensionâs liabilities but is instead based on an asset-only perspective: the meanâvariance efficient frontier given a set of capital market assumptions. A second recommendation, âRecommendation B,â does explicitly consider liabilities, incorporating a liability-hedging portfolio based on an analysis of GPLE pension liabilities and a return-seeking portfolio.
In evaluating asset allocation choices, consider the pensionersâ and the plan sponsorâs interests. Pensioners want to receive the stream of promised benefits with as little risk, or chance of interruption, as possible. Risk increases as the funded ratio declines. When the funded ratio is 1.0, pension assets just cover pension liabilities with no safety buffer. When the funded ratio is less than 1.0, the plan sponsor generally needs to make up the deficit in pension assets by contributions to the plan. For example, with a 10-year investment time horizon and a choice between two asset allocations, the allocation with the lower expected present value of cumulative contributions to Year 10 would generally be preferred by the sponsor, all else being equal. In practice, all else is usually not equal. For example, the alternative with the lower expected present value of contributions may involve more risk to the level of contributions in adverse market conditions. For example, the 5% of worst outcomes for the present value of cumulative contributions may be more severe for the lower expected contribution alternative. Thus, possible asset allocations generally involve risk trade-offs.24 Now consider the recommendations.
Recommendation A, based on asset-only analysis, involves a 65% allocation to global equities and a 35% allocation to global fixed income. Assume that this asset allocation is meanâvariance efficient and has the highest Sharpe ratio among portfolios that meet the pensionâs assumed tolerance for asset return volatility. Capital market assumptions indicate that equities have a significantly higher expected return and volatility than fixed income.
Recommendation B, based on a liability-relative approach to asset allocation, involves an allocation of $1.125 billion to a fixed-income portfolio that is very closely matched in interest rate sensitivity to the present value of plan liabilities (and to any other liability factor risk exposures)âthe liability hedging portfolioâand a $0.125 allocation to equities (the return-seeking portfolio). This is a proportional allocation of 10% to equities and 90% to fixed income. The equities allocation is believed to provide potential for increasing the size of the buffer between pension assets and liabilities with negligible risk to funded status. Recommendation B lies below the asset-only efficient frontier with a considerably lower expected return vis-Ă -vis Recommendation A.
What are the arguments for and against each of these recommendations? Recommendation A is expected, given capital market assumptions, to increase the size of the buffer between pension assets and liabilities. But the sponsor does not benefit from increases in the buffer if the current buffer is adequate.25 However, with a 0.65 Ă $1.25 billion = $0.8125 allocation to equities and a current buffer of assets of $1.25 billion â $1.087 billion = $0.163 billion, a decline of that amount or more in equity values (a 20% decline) would put the plan into underfunded status (assuming no commensurate changes in the liability). Thus, Recommendation A creates contribution risk for the plan sponsor without a potential upside clearly benefiting either the sponsor or beneficiaries.
For Recommendation B, because the risk characteristics of the $1.125 billion fixed-income portfolio are closely matched with those of the $1.087 billion of pension liabilities with a buffer, the plan sponsor should not face any meaningful risk of needing to make further contributions to the pension. Pensioners expect the plan to be fully funded on an ongoing basis without any reliance on the sponsorâs ability to make additional contributions. This is an excellent outcome for both. The pension liabilities are covered (defeased).
The example is highly stylizedâthe case facts were developed to make points cleanlyâbut does point to the potential value of managing risk in asset allocation explicitly in relation to liabilities. A typical use of fixed-income assets in liability-relative asset allocation should be noted: Liability-relative approaches to asset allocation tend to give fixed income a larger role than asset-only approaches in such cases as the one examined here because interest rates are a major financial market driver of both liability and bond values. Thus, bonds can be important in hedging liabilities, but equities can be relevant for liability hedging too. With richer case facts, as when liabilities accrue with inflation (not the case in the frozen DB example), equities may have a long-term role in matching the characteristics of liabilities. In underfunded plans, the potential upside of equities would often have greater value for the plan sponsor than in the fully funded case examined.
Liability Glide Paths
If GPLE were underfunded, it might consider establishing a liability glide path. A liability glide path is a technique in which the plan sponsor specifies in advance the desired proportion of liability-hedging assets and return-seeking assets and the duration of the liability hedge as funded status changes and contributions are made. The technique is particularly relevant to underfunded pensions. The idea reflects the fact that the optimal asset allocation in general is sensitive to changes in the funded status of the plan. The objective is to increase the funded status by reducing surplus risk over time. Although a higher contribution rate may be necessary to align assets with liabilities, the volatility of contributions should decrease, providing more certainty for cash flow planning purposes and decreasing risk to plan participants. Eventually, GPLE would hope to achieve and maintain a sufficiently high funded ratio so that there would be minimal risk of requiring additional contributions or transferring pension risk to an annuity provider.
The importance of such characteristics as interest rate sensitivity (duration), inflation, and credit risk in constructing a liability-hedging asset portfolio suggests the relevance of risk-factor modeling in liability-relative approaches. A risk factor approach can be extended to the return-seeking portfolio in order to minimize unintentional overlap among common factors across both portfoliosâfor example, credit. Exploring these topics is outside the scope of the current reading.
The next section addresses an approach to asset allocation related to liability relative in its focus on funding needs.