Research Note · Centerpiece · Vol. 01
Marked: Jun 23, 2026
The Greeks of Healthcare.
The five sensitivities derivatives desks have measured since 1973, applied — for the first time — to the eight-figure derivative your CFO has been signing as a benefits program.
Hedge Actuarial · Research · Note 04
The Greeks, Applied.
A field guide for the CFO holding a derivative position labelled ‘benefits’.
Author · Hedge Actuarial Desk
Pages · 01 / 01
Distribution · Audit-Committee
| Greek | Name | Derivatives Definition | Healthcare Translation | Hedge Instrument | Diagnostic |
|---|---|---|---|---|---|
Δ | Delta | Sensitivity of option value to underlying price. | Sensitivity of plan cost to a 1% shift in unit cost — chargemaster, network discount, PBM spread. | Medicare-referenced unit pricing. Direct contracting. Reference-based reimbursement floor. | Mark every paid claim against Medicare allowed. The spread is the position. |
Γ | Gamma | Rate of change of Delta — convexity. | Acceleration of cost as utilization concentrates in the catastrophic tail. Small population shifts, non-linear spend. | Stop-loss attachment design. Specialty-drug carve-out. Catastrophic case management protocol. | Score the top 5% of claimants. If they exceed 50% of spend, the position is gamma-positive against you. |
ν | Vega | Sensitivity to implied volatility. | Sensitivity to changes in realized claims variance — the standard deviation of next year's spend. | Volatility compression architecture. Direct Primary Care frequency reduction. Predictable-cost steerage. | Three-year rolling σ of PEPM. If σ > 12%, the plan is uninvestable as currently constructed. |
Θ | Theta | Time decay of option value. | The compounding drag of an unmanaged renewal cycle — embedded inflation accepted by passive renewal. | Annualized governance cadence. Quarterly variance review. Mid-year contractual triggers. | Five-year CAGR of total plan cost. Anything above medical CPI is unmanaged theta. |
ρ | Rho | Sensitivity to the risk-free rate. | Sensitivity to the regulatory and reimbursement environment — MLR, CMS rate-setting, ACA enforcement. | Carrier-agnostic architecture. Self-funded structures with portable governance. | If a 25bp shift in Medicare reimbursement moves your renewal more than 1%, rho is unhedged. |
Hedge Actuarial · Confidential · For institutional discussionMethodology: marked against Medicare reference · Source: CMS, plan experience
Commentary
Five numbers your plan has never reported.
A Treasury option that did not report its Greeks would not trade. A balance-sheet exposure of equivalent size that does not report its Greeks is called a benefits plan.
The Greeks Scorecard is the first deliverable in every Hedge Actuarial engagement. Board-defensible, CFO-deliverable, signed by a credentialed actuary.