Life Settlement Valuation Methods

What Are Life Settlements?

A life settlement is the sale of an existing life insurance policy to a third party for more than its cash surrender value but less than its death benefit. The buyer continues paying premiums and receives the death benefit when the insured dies. Actuarial valuation of life settlements requires estimating the insured's remaining life expectancy, projecting future premium payments, and discounting the net cash flows at an appropriate rate. The value of a life settlement depends critically on the accuracy of the mortality assessment and the cost of carry (ongoing premiums).

The life settlement market emerged because many policy owners, particularly seniors, found that their life insurance was no longer needed or affordable, yet the cash surrender value offered by the insurer was substantially below the policy's economic value. Life settlements bridge this gap, providing policy owners with a higher payout while giving investors access to an asset class with returns largely uncorrelated to financial markets. The actuarial challenge lies in accurately estimating when the death benefit will be paid and what premiums must be funded in the interim.

Deterministic Valuation Method

The deterministic approach uses a single life expectancy estimate to project cash flows. The buyer's expected return depends on the purchase price, the ongoing premium obligation, and the timing of the death benefit. Under this method, the net present value equals the present value of the death benefit received at the estimated date of death, minus the present value of all future premium payments, minus the purchase price.

For example, consider a policy with a $1 million death benefit on an insured with an estimated life expectancy of 8 years. If annual premiums are $30,000 and the discount rate is 12%, the present value of the death benefit is $1,000,000 / (1.12)^8 = $403,883, and the present value of premiums is approximately $149,000 (using an 8-year annuity due). The maximum purchase price that yields a positive NPV is roughly $254,883. In practice, buyers apply additional discounts for risk and uncertainty.

The deterministic method is simple and intuitive but has a significant weakness: it treats life expectancy as a certain quantity when it is inherently uncertain. Two insureds with the same life expectancy of 8 years may have very different mortality distributions, and this difference materially affects the expected present value of the settlement.

Probabilistic (Stochastic) Valuation Method

The probabilistic method uses a full mortality curve rather than a single life expectancy estimate. For each future period, the method calculates the probability of death in that period, the present value of the death benefit if death occurs then, and the present value of premiums that must be paid until that point. The expected present value is the probability-weighted sum across all possible periods of death.

Mathematically, if q_t represents the probability of death in period t (conditional on survival to period t) and p_t represents the probability of surviving to period t, the expected present value is: Sum over t of [p_(t-1) * q_t * (DB / (1+r)^t - PV of premiums through period t)]. This approach is more theoretically sound because the present value function is convex with respect to the time of death. By Jensen's inequality, the expected present value computed from the full mortality distribution differs from the present value computed at the expected time of death.

The stochastic method typically produces lower valuations than the deterministic method because it properly accounts for the asymmetric risk profile: early deaths produce large gains (few premiums paid, death benefit received soon), while late deaths produce large losses (many premiums paid, death benefit deferred). The full distribution captures this asymmetry in a way the single point estimate cannot.

Life Expectancy Underwriting

The accuracy of life settlement valuations depends heavily on the quality of the life expectancy (LE) assessment. Specialized life expectancy underwriters review the insured's medical records, medications, diagnoses, and functional status to estimate remaining life expectancy. Major LE providers include AVS Underwriting, Fasano Associates, and ISC Services. Each provider uses proprietary mortality tables and underwriting methodologies, which can produce meaningfully different LE estimates for the same insured.

Common practice is to obtain LE estimates from two or more independent underwriters and blend the results, often using an average or a weighted average. The blended LE is then mapped to a mortality curve (typically a standard table with a mortality multiplier) for use in probabilistic valuation. The choice of base mortality table and the method of mapping LE to a full mortality curve are important sources of model risk. Actuaries must evaluate whether the resulting mortality curve is consistent with the medical profile and whether the tail of the distribution (the probability of very long survival) is plausible.

Premium Funding and Policy Features

The cost of maintaining the policy until the death benefit is paid is a critical component of life settlement valuation. Universal life policies have flexible premiums, and the minimum premium required to keep the policy in force depends on the policy's current account value, the cost of insurance charges, and the credited interest rate. Actuaries must project the premium funding schedule by modeling the policy mechanics, including any changes to cost of insurance rates that the insurer may implement.

Some policies have secondary guarantees that keep the policy in force regardless of account value, provided certain premium tests are met. These guarantees are valuable because they cap the annual premium obligation and eliminate the risk of policy lapse due to rising cost of insurance charges. Policies with robust secondary guarantees are generally more valuable as life settlements because the premium risk is lower and more predictable.

Portfolio Considerations and Risk Management

Life settlement investors typically hold portfolios of policies to diversify the mortality risk associated with individual lives. Portfolio valuation requires modeling the joint mortality distribution of all insured lives, accounting for any dependencies (such as married couples or shared health conditions). The portfolio's expected return depends on the diversification benefit: the standard deviation of portfolio returns decreases as the number of independent lives increases.

Key portfolio risks include longevity risk (insureds living longer than expected), premium risk (premiums increasing due to policy mechanics), and liquidity risk (the difficulty of selling individual policies in the secondary market). Actuaries manage these risks through stress testing, scenario analysis, and sensitivity testing across the key assumptions. A common stress test doubles the LE for all policies and evaluates whether the portfolio can sustain the additional premium payments.

Regulatory Environment and Ethical Considerations

Life settlements are regulated at the state level, with most states requiring licensing of settlement providers and brokers. Regulations typically require disclosure of the settlement offer relative to the death benefit and cash surrender value, ensuring that policy owners can make informed decisions. Some states impose minimum holding periods before a policy can be settled, and insurable interest requirements at the time of policy issuance prevent stranger-originated life insurance (STOLI) arrangements designed solely as investment vehicles.

For actuarial candidates, life settlement valuation provides an excellent application of present value, mortality modeling, and risk assessment concepts. Understanding the difference between deterministic and probabilistic approaches, the role of life expectancy underwriting, and the impact of premium funding assumptions develops skills directly applicable to life insurance valuation and risk management more broadly.