Class 2 — Annuities and MYGA Product Fundamentals¶

This session introduces annuities as insurance contracts, focusing on how different annuity types allocate risk, credit interest, and define benefits. We then narrow the scope to Multi-Year Guaranteed Annuities (MYGA), which will serve as the core product for later policy illustration and CARVM / VM-22 reserving work.

Learning objective

The goal of this class is structural understanding, not memorization. Focus on how products work and why features exist — not on marketing language.

1. What Is an Annuity?¶

An annuity is an insurance contract that exchanges money across time.

At a high level:

The policyholder pays a lump sum or series of premiums
The insurer promises future benefits, which may include:
account value accumulation
guaranteed minimum values
periodic income payments

Key idea

Annuities primarily exist to transfer financial risk,
not to maximize investment returns.

2. Deferred vs. Immediate Annuities¶

Annuities are commonly classified by when income payments begin.

2.1 Lifecycle View¶

Phase	Deferred Annuity	Immediate Annuity
Accumulation	Yes	No
Annuitization	Optional / Later	Immediate
Liquidity	Limited	None
Primary purpose	Growth + optional income	Guaranteed income

Think in phases

Almost all annuity discussions become clearer once you explicitly separate accumulation from income phases.

2.2 Deferred Annuities¶

A deferred annuity consists of two conceptual phases:

Accumulation phase
premiums earn interest or indexed returns
account value evolves over time
Annuitization phase (optional)
account value may be converted into income

Primary risks addressed by phase

Phase	Risk focus
Accumulation	Investment risk, interest rate risk
Annuitization	Longevity risk (if elected)

Accumulation example

Premium: $100,000
Crediting rate: 4%
Duration: 5 years

\[ AV_5 = 100{,}000 \times (1.04)^5 \approx 121{,}665 \]

2.3 Immediate Annuities¶

An immediate annuity skips the accumulation phase.

Premium is exchanged directly for income
Payments typically begin within 12 months

Primary risk addressed

Phase	Risk focus
Income phase	Longevity risk

Income example

Premium: $100,000
Payment period: 180 months

\[ \text{Monthly Income} = \frac{100{,}000}{180} \approx 556 \]

3. Types of Annuities (Industry Classification)¶

Annuities differ primarily by:

interest crediting methodology
who bears market risk

3.1 Product Taxonomy¶

Product	Full name	Market risk
MYGA	Multi-Year Guaranteed Annuity	Insurer
FIA	Fixed Indexed Annuity	Insurer
RILA	Registered Index-Linked Annuity	Shared
VA	Variable Annuity	Policyholder

Why this matters

Product classification determines: - volatility of account values - complexity of modeling - statutory reserving treatment

4. Interest Crediting Methodology¶

4.1 MYGA — Fixed Guaranteed Crediting¶

Declared rate locked for multiple years
Simple and deterministic growth

MYGA crediting

Premium: $100,000
Rate: 4.5%
Term: 3 years

\[ AV_3 = 100{,}000 \times (1.045)^3 \approx 114{,}144 \]

Modeling intuition

MYGA behaves like a book-value instrument with contractual guarantees.

4.2 FIA — Indexed Crediting with Downside Protection¶

Interest linked to an external index
Subject to caps, participation rates, or spreads
Floor typically at 0%

FIA with cap

Index return: 8%
Cap: 5%

\[ \text{Credited Rate} = \min(8\%, 5\%) = 5\% \]

\[ AV_1 = AV_0 \times 1.05 \]

Important distinction

Index return ≠ credited return.
Contract features determine what the policyholder actually earns.

4.3 RILA — Buffered / Leveraged Index Exposure¶

Partial downside protection (buffer)
Partial upside participation
Losses possible beyond the buffer

RILA buffer example

Index return: –12%
Buffer: 10%

\[ \text{Credited Return} = -2\% \]

5. Triple Compounding (Conceptual)¶

Annuities often benefit from three distinct layers of compounding:

Compounding on principal
Compounding on credited interest
Compounding from tax deferral (tax not paid annually)

Important clarification

Only the first two are financial compounding. Tax deferral is not mathematical compounding, but it materially affects outcomes.

6. MYGA Benefits Overview¶

MYGA benefits define allowable cash flow events under the contract.

6.1 Surrender Benefits¶

Upon surrender, the policyholder typically receives:

\[ \text{Surrender Value} = AV - \text{Surrender Charge} \pm \text{MVA} \]

Economic meaning

Surrender charges and MVA protect the insurer from early disintermediation.

6.2 Death Benefits¶

Common structure:

Death benefit = Account Value
Surrender charges often waived
MVA may or may not apply (product-specific)

6.3 Maturity Benefits¶

At the end of the guarantee period, the policyholder may:

Withdraw funds
Renew at a new rate
Annuitize

6.4 Annuitization Benefits¶

Converts account value into income
Common options:
life only
period certain
joint life

6.5 Partial Withdrawal Benefits¶

Free withdrawal allowance (e.g., 10% annually)
Excess withdrawals subject to surrender charges and/or MVA

Design intuition

Partial withdrawal provisions balance liquidity for policyholders against persistency protection for insurers.

7. Guaranteed Fund / Minimum Guaranteed Surrender Value (MGSV)¶

MYGA contracts include a Guaranteed Fund, providing a statutory floor.

Typical structure:

87.5% of single premium
Accumulated at a minimum guaranteed interest rate
Reduced for withdrawals

Conceptual MGSV formula

\[ \text{MGSV}_t = 0.875 \times P \times (1 + i_{min})^t - \text{Withdrawals} \]

Why MGSV matters

MGSV ensures a non-forfeiture minimum, regardless of credited rates, and plays a critical role in statutory reserving.

8. Key MYGA Product Features (Summary)¶

Feature	Description
Interest crediting	Fixed, guaranteed for term
Surrender charge	Declining schedule
Free withdrawal	Limited liquidity without penalty
MVA	Economic adjustment for rate changes
Guaranteed fund	Statutory minimum surrender value
Premium bonus	Optional upfront enhancement

9. Looking Ahead¶

Next steps

In the next class, we will extend MYGA analysis beyond the policy level and begin connecting product mechanics to insurer balance sheet management.

Specifically, we will cover:

Market Value Adjustment (MVA) in depth
Why MVA exists economically
How interest rate movements affect asset values
Why you cannot understand surrender behavior or asset sizing without MVA
Asset–Liability Management (ALM) for MYGA products
How MYGA liabilities are supported by fixed-income assets
Duration matching and cash flow matching concepts
How surrender provisions and MVA influence asset strategy
Practical constraints faced by insurers in real portfolios
Annuitization options and income conversion
What annuitization actually means operationally
Common annuitization forms (life only, period certain, joint life)
How annuitization changes the insurer’s risk profile
Why annuitization assumptions matter even if few policyholders elect it

Why this matters

MYGA products cannot be analyzed in isolation.
Their design is tightly linked to: - asset duration - interest rate risk - liquidity management - and long-term income guarantees

Understanding MVA, ALM, and annuitization is essential to understanding how MYGA products are managed inside an insurance company.