Duration vs. Cash Flow Matching

Source: Duration vs. Cash Flow Matching

Pension Solutions:

Dollar Duration Matching and Cash Flow Matching

Ryan ALM believes that the objective for a defined benefit pension is to fund and secure benefits in a cost-effective manner. Pension management is an assets vs. liabilities objective rather than assets versus generic market indexes objective. Pension asset/liability management (ALM) starts with understanding the pricing and interest rate sensitivity of liabilities and continues with measuring and monitoring such liabilities. There are two primary asset/liability bond strategies in use today: Duration Matching and Cash Flow Matching.

Duration Matching

The purpose of duration matching is an attempt to match the interest rate risk sensitivity of assets to liabilities. The objective is to have the market value or PV changes (growth rate) in the bond portfolio match the market value or PV changes (growth rate) in liabilities for a given change in interest rates. Many fixed income managers attempt to match the average duration of the bond portfolio to the average duration of a bond market index with a similar duration to liabilities (i.e., Bloomberg Barclays long Corporate index). They use the generic bond index as a proxy for liabilities. There are several problems with this strategy.

The fatal flaws in this approach are:

1. a generic bond index cannot replicate any client’s unique liability cash flows. Client’s liabilities are like snowflakes: different labor force, salaries, mortalities and plan amendments.

2. average durations give erroneous information because there are an infinite number of combinations of maturities for a bond portfolio that can all have the same average duration, but they will not have the same risk/reward profile.

3. duration matching is only accurate for small parallel shifts in the yield curve. But the yield curve rarely moves an equal number of basis points at every point along the curve. For more info, Ron Ryan wrote a research paper “The Seven Flaws of Duration” while head of Ryan Labs… see the Ryan ALM website/insights/white papers/classics.

Bond management evolved to remedy these flaws by using Key Rate Durations which attempts to match the duration of multiple points along the yield curve. Key Rate Duration is an improvement over using a single average duration, but it still has several deficiencies:

1. Actuaries usually do not provide the average duration of liabilities and the projected benefits in their annual actuarial report… reason why generic bond indexes are used.

2. Matching key rate durations of a generic market index = wrong Key Rate Durations.

3. Duration is a present value calculation requiring pricing each projected benefit with a discount rate yield curve (i.e., ASC 715 discount rates). As a result, 30 annual benefit payments require 30 separate discount rates.

4. Duration must be modified (duration/1+YTM) to use as a price return measurement.

5. Modified duration is a price return measurement and does not include income.

Dollar Duration Matching (DDM)

DDM matches the Dollar Value change per basis point change in yield for assets with the Dollar Value change per basis point change in yield for liabilities. When the Dollar Duration of assets is matched to the Dollar Duration of liabilities for every year in the term structure of liabilities, then DDM is the most precise form of Key Rate duration matching because it matches the Key Rate durations at every point along the liabilities yield cure or benefit payment schedule (30 years = 30 key rate durations). The Ryan ALM approach offers several value-added differences:

1. Actuarial Projections - We use the actuarial projected benefits of our clients and not a generic bond index.

2. Modified durations - to be an effective price sensitivity measurement, duration must be modified. Modified Duration measures the percent change in market value or

3. Dollar duration - our objective here is to match the dollar value change per basis point in assets and liabilities in every maturity on the projected benefit schedule.

The Ryan ALM DDM approach greatly improves the accuracy of Key Rate duration matching by matching the Dollar Value changes in liabilities with the Dollar Value changes in assets across the term structure and yield curve for both assets and liabilities. The liabilities are represented by using a Custom Liability Index to more precisely measure and monitor the dollar value movement in assets versus liabilities given any movement in interest rates.

Cash Flow Matching (CFM)

Ryan ALM believes that the objective for a defined benefit pension is to fund and secure benefits when due in a cost-efficient manner. Ryan ALM does not believe that bonds are performance assets. The value in bonds is in their known and scheduled cash flows which is why cash flow matching has been used as a major strategy for hedging liabilities for many decades (i.e., dedication, defeasance). It is the matching and funding of benefits (future values) that is of primary concern. As such, future values are not interest rate sensitive… a major benefit of cash flow matching. Cash flow driven investing (CDI) dominates the way European pensions are managed under IASB accounting standards. Key Rate Duration using Dollar Duration is great for matching market value (PV) movements between assets and liabilities but what about funding liability payments (future values)?

Since the primary value in bonds is in the certainty of their cash flows, Ryan ALM will cash flow match (fund) projected benefit payments chronologically which provide the plan sponsor with numerous benefits:

1. Secures the benefits,

2. Significantly de-risks the plan,

3. Reduces funding costs significantly,

4. Reduces volatility of funded ratio and contributions,

5. Buys time for performance assets (Alpha) to grow unencumbered,

6. Hedges pension inflation on Retired Lives, Active Lives and Expenses, and

7. No interest rate risk since LBP is funding future values (benefit payments).

A major cash flow matching benefit is that it buys time for the performance assets to grow unencumbered. History tells us that given time risky assets perform better (i.e., S&P 500). History also tells us if the Alpha assets can grow without any dilution, they perform much better (dividends reinvested > 50% of the S&P 500 growth in the last 50 years). If interest rates rise, cash flow matching can reinvest any excess cash flows at the then higher yields (lower costs) while bonds managed with a purely total return focus would get hurt with lower price returns.

Solutions

Ryan ALM uses a turnkey system approach to asset/liability management for defined benefit pensions:

1. ASC 715 Discount Rates – Ryan ALM is one of few vendors providing ASC 715 discount rates (AA corporate zero-coupon bonds). We will price each annual projected benefit payment on a monthly basis.

2. Custom Liability Index (CLI) - Ryan ALM creates a Custom Liability Index (CLI) for each client based on their actuarial projected benefits. We do not use generic market indexes because that would be assets vs. assets. We measure and monitor the performance of assets versus liabilities. The CLI provides all of the calculations needed for either duration matching or cash flow matching. The CLI will calculate YTM, duration, growth rate and interest rate sensitivity for each annual projected benefit as a term structure as well as total liabilities.

3. Liability Beta Portfolio™ (LBP) – our LBP will cash flow match projected benefits either chronologically or as a dollar duration match using our proprietary LBP cost optimization model that will reduce funding costs significantly.

Whether it is dollar duration matching or cash flow matching, Ryan ALM provides both products as part of our asset/liability management product line. Please contact us to learn how our turnkey system can enhance your pension fund.

Cash Flow is King!

Source: Cash Flow is King!

Executive Summary

Pensions are all about cash flows. They require asset cash flows including projected contributions to fund projected benefits + expenses.Retired Lives are the most imminent and certain liability cash flows and should be the highest priority to fund and secure these benefits.Cash flow matching Retired Lives chronologically with bonds (Beta assets) is the most prudent way to secure these benefits in a cost efficient manner. Unfortunately, most bond assets) who need to grow unencumbered to fund

Pension Solution:

Cash Flow Is King!

The primary objective of a pension is to secure benefits in a cost-efficient manner and then secondarily to enhance the efficiency of the plan’s asset allocation. Securing benefits is all about asset cash flows matching and funding liability cash flows chronologically for 10-years or for as far out as the plan sponsor deems necessary.

1. Insurance Buyout Annuity (IBA)

2. Cash Flow Matching (CDI) with bonds

IBA is too expensive for Public and multi-employer plans and unnecessary. Corporations use them to remove the PBGC premium expense on Retired Lives. However, corporations would be wise to compare cash flow matching (Cash Flow Driven Investments or CDI) to IBA. We believe they will find that CDI would reduce funding costs by over 20% in present value dollars versus the future value savings of eliminating PBGC premiums. CDI has been in vogue the longest (since the 1960s) and is a proven way to defease liabilities in a low cost, low risk manner.

It would be wise to separate Retired Lives from Active Lives. The Retired Lives are the most important liabilities since they are the most imminent and known benefits as well as they represent long tenured employees. These are the benefits that need to be secured as best as possible. The Active Lives are the less known and longest liabilities, which allow assets time to grow to fund these benefits.

Since contributions are the first source to fund benefits, current assets fund net liabilities. The actuarial projections of benefits and contributions tend to be annual. Net liabilities are usually not provided by the actuary. Moreover, benefits are paid monthly. Although an easy calculation, it is critical that current assets know what they are funding… monthly net liabilities (projected benefits + expenses – contributions).

It would be wise to separate liability Beta assets from Alpha assets. The Beta assets should be the allocation to bonds to cash flow match net Retired Lives chronologically for a target horizon (we recommend 10 years). Our cash flow matching model (Liability Beta Portfolio™ or LBP) is well tested showing a funding cost savings of 8% to 15% depending on the liability term structure.

It would be wise to take the Cash plus the Fixed Income allocation in your plan’s current asset allocation and apply it to a CDI allocation. This would match and secure benefits chronologically for as far out as the allocation of funds allow. Since we are dealing with net liabilities (after contributions) a 15% allocation may fund liabilities out to 10-years +.

Typically bond allocations are expected to outperform some generic bond index whose cash flows look nothing like the Retired Lives. Moreover, the index benchmark may be skewed to long bonds and Government securities. This introduces interest rate risk and more cost, as yields on government securities are generally the lowest for a similar maturity. Our LBP model is funding benefits (future values) which are not interest rate sensitive. This eliminates the largest risk in bonds. Our LBP model will usually outyield active bond managers by over 50 bps, which will reduce costs. The key value added is the efficiency of the cash flows.

No matter what generic bond index is chosen, active fixed income management cannot produce enough cash flows to fund benefits and expenses. As a result, bonds will require help from performance assets to fund benefits. This will create dilution and disruption of the growth rate of such performance assets. With the Liability Beta Portfolio™ in place as the core portfolio to fund the shorter Retired Lives net liabilities (1-10 years), the Alpha assets are now free to grow without being diluted or unencumbered to pay any benefits. Alpha assets returns will be volatile, but the Liability Beta Portfolio™ bought the plan time (10 years) for the Alpha assets to grow. The example below shows the cash flow difference of bonds managed to a generic index versus cash flow matching to liabilities:

Assumptions

Bond + Cash Allocation = $150 million (15%)

Net Benefits + Expenses (B + E) = $20 m per year ($200 million for 10 years)

Active bond management vs. generic bond index

• YTM = 2.50%

• Cash flow = $3.75 million annually ($150m x 2.50%)

• Cash flow shortfall = $16.25m annually ($20m - $3.75m)

• Requires dilution of Alpha assets cash flow to fund the B + E

Liability Beta Portfolio™

• YTM = 3.50%

• Cash flow = $20 million annual

• No dilution of Alpha assets cash flows

• Cash flow = Principal + Income + Reinvestment

Benefits of a CDI Approach

• Secures benefits for 10 years

• No change in Cash and Bond allocation

• No dilution of Alpha assets to fund B + E

• No interest rate risk (funding future values)

• Outyield active bond management which reduces costs

• LBP is skewed to higher yielding A/BBB corporate bonds

• LBP has no maturities longer than last benefit payment date

Observations

• Generic bond indexes cash flows look nothing like the projected benefit payment schedule of a pension.

• This leads to a mismatch of cash flows and risk/reward behaviors… serious issues over time.

• Alpha assets need time to perform without any dilution of their cash flows to pay benefits so they shouldn’t be a source of liquidity

• CDI funds benefit payments and expenses chronologically

• CDI will out yield current bond managers and enhance the ROA

• Cash flow matching buys time for Alpha assets to grow unencumbered

Logic

Let the performance assets (Alpha assets) perform (grow unencumbered) as the liquidity assets (Beta) assets provide cash flow sufficient to fund benefits plus expenses chronologically.

Was founded by Ronald J. Ryan, CFA on July 12, 2004 as an Asset/Liability Management (ALM) firm. The firm builds a turnkey system of proprietary synergistic products designed to measure liabilities as a Custom Liability Index (CLI) and manage assets to the CLI as a Liability Beta Portfolio™

Our Liability Beta Portfolio™ is our proprietary cost optimization model that "cash flow matches" clients projected liability benefit payment schedules at the least cost using investment grade bonds. It is back-tested since 2009 showing a consistent cost savings of 8% to 15%. Our LBP best represents the core portfolio of a pension plan.

Buy Time!

Source: Buy Time!

Executive Summary

U.S. pension plans have been hard hit by rising pension costs since 2000. This has been primarily characterized by spiking contribution costs and volatile funded ratios. A solution to this dilemma is to implement a strategy that will buy time! By separating assets into liquidity (Beta) and performance (Alpha) assets, you can achieve the true objective of a pension, which is to secure benefits. The Beta assets secure Retired Lives benefits chronologically (we recommend 10 years) thereby buying time for the Alpha assets to enhance the funded status, while besting future liability growth.

Pension Solution: Buy Time!

Ryan ALM's mission is to solve liability driven problems through low cost, low risk solutions.

Most pensions have been hard hit this year. According to a March study by Milliman of the top 100 Public Pensions, the average funded ratio fell to 66% from 74.9% at the end of 2019. This represents the largest decline Milliman has ever recorded. The funded status deficit grew to $1.82 trillion. They reported only four plans with funded ratios > 90% and 35% were < 60% funded using the ROA as the discount rate. Imagine the funded ratio if Public Plans adopted FASB discount rates of AA corporates. Lower funded ratios also suggest higher contributions are coming. What to do?

How do you buy time? Cash flow match liabilities for the time you need.

We believe the answer is… BUY TIME!

Given time, equities (S&P 500) perform well but they need time. The more time you give equities… the better the returns. Here are historical average S&P 500 return measurements for rolling 10-year, 15-year and 20-year periods ending 12/31/19 over a 50-year horizon starting 1969:

Best, worst, and average returns

So how do you buy time? The answer is… cash flow match liabilities for the time you need. This is best accomplished by transferring the cash + bond allocation assets in kind over to cash flow match net liabilities + expenses. Our cash flow matching model (Liability Beta Portfolio™ or LBP) will calculate with precision the cost to fund net liabilities + expenses in a cost-effective manner chronologically. Since liabilities are funded initially by contributions, using the LBP model to cash flow match net liabilitieschronologically may be able to fund more liabilities than you think. Assume that a 15% bond + 3% cash allocation could match the next 10 years of net Retired Lives benefit payments + expenses chronologically. Based on the Ryan ALM Liability Beta Portfolio™ (LBP) model we show a cost savings (projected benefits – cost of LBP) of about 10% to 15% on cash flow matching the first 10 years of net liabilities (projected benefit payment schedule – projected contributions).

Matching liabilities chronologically should buy time for the non-bond assets (Alpha assets) to perform. Given time (10 years) most non-bond asset classes tend to outperform bonds and the ROA. Since liabilities behave like bonds there is a high probability that non-bond asset classes could outperform liability growth (earn liability Alpha) over an extended time horizon especially at today’s low yield on bonds and liabilities. This would enhance the funded status allowing for reduced contribution costs or increased benefits or both. Our LBP also has numerous benefits that enhance the pension plan:

Secures Benefits

• Cash flow match monthly Retired Lives benefits chronologically

Reduces Costs

• LBP reduces Contribution, Funding and Asset Management Costs:

  (LBP Fee = 15 bps… much less than most active bond managers)

Reduces Volatility

• Reduces volatility of Contributions and Funded Ratio

Reduces Risk

• Risk = Uncertainty of Funding Benefit Payments

(LBP funds benefits with certainty)

• Projected Benefit Payments are Future Values

(FV have NO Interest Rate Sensitive)

Enhances ROA

• LBP should out yield most active management bond portfolios

Buys Time

• LBP matches & funds liabilities chronologically

• Moves deficit out longer extending the investment horizon

• Buys Time for Non-bond assets (Alpha assets) to grow

• No dilution of Alpha assets to fund benefits

However, most bond allocations are for active bond management versus a generic index benchmark(s). As the designer of the Lehman bond indexes from my days as the Director of Fixed Income Research at Lehman, I can tell you unequivocally that generic bond indexes look nothing like a projected pension benefit payment schedule. Such a mismatch will distort the cash flows and risk/reward behavior of assets vs. liabilities. The major issues and differences are:

Versus Generic Bond Indexes

• Does not fund benefits + expenses

• Aggregate Index = low yielding @ 1.42%

• Generic bond index =/= plan sponsor’s liabilities

• Cash flows do not match plan sponsor’s liabilities

• Index skewed to long bonds + Government securities

• Performance (value added) = small to none (after fees)

Cash Flow Matching (Liability Beta Portfolio™ – LBP)

• Custom Liability Index = plan sponsor’s liabilities

• LBP funds Net Benefit + Expense payments (monthly)

• Performance = immediate funded cost savings of 8% to 20%

But the worst difference and discrepancy is… all about cash flows. Active bond management is focused on outperforming the returns of a generic bond index benchmark. As a result, cash flows are not a consideration. But no matter what generic bond index is chosen; the fixed income assets cannot produce enough cash flows to fund benefits + expenses. As a result, bonds will require help from performance assets to fund benefits. This will create dilution and disruption of the growth rate of such performance assets. With the Liability Beta Portfolio™ in place as the corebond management is focused on outperforming the returns of a generic bond index benchmark. As a result, cash flows are not a consideration. But no matter what generic bond index is chosen; the fixed income assets cannot produce enough cash flows to fund benefits + expenses. As a result, bonds will require help from performance assets to fund benefits. This will create dilution and disruption of the growth rate of such performance assets. With the Liability Beta Portfolio™ in place as the core portfolio to fund the shorter Retired Lives net liabilities (1-10 years), the Alpha assets are now free to grow without being diluted or unencumbered to pay any benefits. Alpha assets returns will be volatile, but the Liability Beta Portfolio™ bought time (10 years) for the Alpha assets to grow. The example below shows the cash flow difference of bonds managed to a generic index versus cash flow matching to liabilities:

Bond + Cash allocation = $150 million

Net Benefits + Expenses = $20 million per year

Bond management vs. generic bond index

• YTM = 2.50%

• Cash flow = $3.75 million annual ($2.50% x $150m)

• Annual cash flow shortfall = $16.25 million ($20m - $3.75m)

• Dilution of Alpha assets cash flow to fund benefits + expenses

Cash Flow Matching

• YTM = 3.50% (skewed to A/BBB corporate bonds)

• Cash flow = $20 million annual (includes principal + income + income reinvested)

• No dilution of Alpha assets cash flows

Observations:

• Generic bond indexes look nothing like the projected benefit payment schedule of a pension.

• This leads to a mismatch of cash flows and risk/reward behaviors… serious issue over time.

• Alpha assets need time to perform without any dilution of their cash flows to pay benefits.

• Cash flow matching funds benefit payments chronologically

• Cash flow matching will out yield current bond managers and enhance ROA

• Cash flow matching buys time for Alpha assets to grow unencumbered

Logic

Let the performance (Alpha) assets perform (grow) as the liquidity (Beta) assets provide cash flow sufficient to fund benefits plus expenses over a time horizon sufficient to let the Alpha assets grow unencumbered.