2.1 Longevity Risk & Mortality Projections

2.1 Longevity Risk & Mortality Projections

Quick Summary: Longevity risk is the danger of outliving one's accumulated financial assets. Unlike risks that occur as single discrete shocks, longevity risk acts as an overarching risk multiplier: the longer a retiree lives, the more exposed they become to compounding inflation, cumulative market downturns, escalating medical costs, and late-life cognitive decline.

---

Longevity as an Overarching Risk Multiplier

In the wealth accumulation phase, a longer investment horizon is advantageous because compound interest works in the investor's favor. In the decumulation phase, however, longevity transforms into a primary vulnerability. Every additional year in retirement increases the total dollar demand on the portfolio while reducing the remaining statistical margin for error.

Actuaries and retirement researchers refer to longevity as a risk multiplier because it directly amplifies the impact of every other retirement threat:

• Inflation Risk: Over a 15-year retirement, a 3% inflation rate erodes purchasing power by 36%; over a 30-year horizon, that same inflation rate cuts purchasing power by more than 58%.
• Sequence-of-Returns Risk: A prolonged lifespan increases the statistical probability of experiencing multiple cyclical bear markets during distribution years.
• Healthcare and Long-Term Care Risk: The likelihood of chronic illness, mobility impairment, and requiring institutional assistance rises exponentially past age 80.
• Cognitive Impairment: The prevalence of dementia and diminished financial capacity escalates dramatically in the upper 80s and 90s.

---

Individual Life Expectancy vs. Joint Survival Probabilities

A common mistake in retirement planning is confusing median life expectancy with a definitive planning horizon. Life expectancy at age 65 represents the midpoint of a probability distribution: exactly 50% of individuals will die before that age, and 50% will live longer. Planning an investment portfolio to median life expectancy guarantees a 50% probability of portfolio failure by design.

The Mathematics of Joint Survival

When working with married couples, advisors must calculate joint life expectancy rather than individual lifespans. Because the lifetimes of two individuals are largely independent statistical events, the probability that at least one spouse remains alive is substantially higher than the survival probability of either individual alone.

Mathematically, the probability that at least one member of a couple survives to age T is given by the complementary probability that neither survives:

$P(\text{At least one survives to } T) = 1 - [1 - P(\text{Male survives to } T)] \times [1 - P(\text{Female survives to } T)]$

For a healthy 65-year-old couple (male and female):

• The probability of the male surviving to age 90 is roughly one in three.
• The probability of the female surviving to age 90 is roughly 40% to 45%.
• Treating the two lives as independent, the probability that at least one spouse survives to age 90 is about 60%. That is 1 − (0.67 × 0.56) ≈ 62% using the illustrative table below.
• The probability that at least one spouse survives to age 95 is still more than one in four.

Note: These are illustrative, rounded probabilities for healthy, above-average-income 65-year-olds, of the kind produced by annuitant mortality tables with improvement scales. Actual figures vary with the table, health, income, and smoking status. Planners should run the client's own numbers, for example with the Society of Actuaries/American Academy of Actuaries Longevity Illustrator.

---

Actuarial Foundations: Society of Actuaries (SOA) Mortality Tables

Retirement income professionals must differentiate between two distinct types of mortality data:

1. General Population Tables (e.g., Social Security Administration Period Life Tables): These reflect mortality data across the entire U.S. population regardless of health status, income, or wealth. SSA's estimates put average life expectancy for someone reaching 65 today at roughly the mid-80s: about 84 for men and about 86 to 87 for women.
2. Commercial Annuitant Tables (e.g., Society of Actuaries RP-2014, Pub-2010): These reflect individuals who purchase private commercial life insurance, annuities, or participate in private pension plans. These individuals consistently live 2 to 4 years longer than the general population due to adverse selection (those who buy lifetime annuities tend to be healthier, wealthier, and have superior healthcare access).

Furthermore, modern actuarial projections incorporate mortality improvement scales (such as MP-2020 and MP-2021), which account for ongoing medical advances, reductions in smoking, and enhanced cardiovascular treatments that continually push survival curves outward.

---

Establishing Conservative Retirement Planning Horizons

To ensure a plan survives the upper tail of the longevity distribution, the Retirement Income Certified Professional (RICP) curriculum recommends the following planning horizon benchmarks:

• Single Retiree: Plan distributions to at least age 95 (covering approximately 90% of the survival distribution).
• Married Couple: Plan distributions to at least age 95 to 100 for the surviving spouse (covering approximately 95% of the joint survival distribution).

The Risks of Underestimating Lifespan

Underestimating lifespan leads to catastrophic late-life consequences:

• Exhaustion of Liquid Capital: Running out of liquid assets just as high-cost medical and custodial care needs peak.
• Forced Reliance on Inflexible Safety Nets: Leaving a surviving spouse dependent solely on a reduced single Social Security benefit and Medicaid.
• Premature Under-spending: Conversely, retirees terrified of running out of money may severely over-constrain their lifestyle during their healthy early retirement years.

---

The Frailty Timeline & Retirement Consumption Evolution

Retirement expenditures do not follow a static, flat real line. Instead, spending follows a dynamic life cycle known as the Retirement Frailty Timeline, popularized by financial gerontologists and divided into three distinct stages:

+-----------------------+-----------------------+-----------------------+
|      Go-Go Years      |     Slow-Go Years     |      No-Go Years      |
|      (Ages 65-75)     |      (Ages 75-85)     |      (Ages 85+)       |
+-----------------------+-----------------------+-----------------------+
| - High physical vigor | - Declining stamina   | - Significant frailty |
| - Extensive travel    | - Localized travel    | - Limited mobility    |
| - Active recreation   | - Home-centered life  | - High medical costs  |
| - Peak discretionary  | - Moderate spending   | - Nursing / home care |
+-----------------------+-----------------------+-----------------------+

1. The 'Go-Go' Years (Ages 65 to 75): Characterized by high physical and cognitive health. Discretionary spending on travel, dining, hobbies, and family gifts reaches its lifetime peak. Overall budget is high, driven by lifestyle choices.
2. The 'Slow-Go' Years (Ages 75 to 85): Characterized by gradual biological aging and reduced physical stamina. Long-distance travel wanes, recreational spending declines, and consumption shifts toward home maintenance, convenience services, and routine outpatient medical management.
3. The 'No-Go' Years (Ages 85+): Characterized by advanced physical frailty and rising cognitive vulnerability. Discretionary spending drops toward near-zero, but nondiscretionary expenditures on prescription drugs, specialized transportation, in-home caregivers, assisted living, or skilled nursing facilities surge dramatically.

---

Case Example: Longevity Planning for David and Sarah

Client Profile: David (age 65) and Sarah (age 65) are retiring with a $1,200,000 portfolio. David's father passed away at age 78, and David insists: 'No one in my family lives past 80, so let's design our investment withdrawals to last until age 85.'

Advisor Analysis: Advisor Mark explains the joint longevity trap:

1. Even if David's personal life expectancy were shorter, Sarah's maternal family history shows longevity into the mid-90s.
2. Using illustrative annuitant-table assumptions, there is roughly a 60% probability that at least one of them lives to age 90 and more than a 25% probability that at least one reaches age 95.
3. If Mark models portfolio withdrawals to exhaust assets at age 85, David might pass away at 82, leaving Sarah with an empty portfolio at age 85—precisely when her healthcare and custodial living expenses will peak.

Resolution: Mark models the baseline essential income floor using Social Security and a lifetime annuity to cover non-negotiable living costs to age 100, while structuring an investment portfolio with sufficient equity growth to support discretionary spending through age 95.

---

Exam Watch: Key Takeaways & Traps

• Median vs. Planning Horizon: Remember that median life expectancy has a 50% probability of being exceeded. On the exam, never select median life expectancy as an adequate planning horizon.
• Joint Life Probability Rule: The joint survival probability for two individuals is always higher than the survival probability of either single individual.
• Population vs. Annuitant Data: Annuitant tables reflect longer lifespans due to socioeconomic factors and adverse selection. Financial planners must use annuitant or insured-population tables when modeling private wealth clients.