Edition 26 • May 3, 2026

The Credibility Report

Edition 26: Reinsurance Renewals, Softening Rates, and Robust Insurance Design

Marsh reports global commercial insurance rates down 5% in Q1 2026, April renewals show record reinsurance capital and buyer-favorable property-cat terms, NFIP creates a September flood-insurance cliff, and new research on Bregman-Wasserstein robust insurance design sharpens the model-ambiguity question.

Welcome to Edition 26. The centre of gravity this week is cycle discipline: commercial insurance rates are softening, property reinsurance capital is abundant, and ceded-cost relief is arriving before casualty uncertainty has fully cleared.

The research thread is sharper than the market mood: robust insurance design under Bregman-Wasserstein ambiguity, constrained risk sharing, and liability valuation all point to the same actuarial job — separate cheaper capital from genuinely lower risk.

— Ron Richman, Founder, InsureAI

-5%
Global commercial pricing in Q1 2026
$785bn
Estimated global reinsurance capital
$20bn
Q1 insured nat-cat loss estimate
3
High-relevance actuarial arXiv papers

This Week’s Headlines

Source note: every headline link in this section goes directly to the cited primary release, report, regulator page, professional body, or company filing.

Marsh: global commercial insurance rates fell 5% in Q1 2026

The soft market is no longer theoretical. Marsh reports global commercial pricing down 5%, with global property down 9% and U.S. property down 10%.

Marsh

Decision Delta

  • Signal: Pricing-cycle shift is visible in headline market indices.
  • Functions affected: Pricing, portfolio steering, planning, renewal strategy.
  • Actuary action: Split property rate adequacy from casualty/social-inflation trend before revising plans.

Aon: April renewals show record reinsurance capital near $785bn

Aon’s April renewals report frames the market as capital-rich and buyer-favourable, especially for property-cat programmes.

Aon

Decision Delta

  • Signal: Ceded-cost relief and capacity abundance are now central to renewal economics.
  • Functions affected: Reinsurance buying, pricing, capital allocation.
  • Actuary action: Rerun net indications with updated ceded costs and retained-volatility metrics, not just cheaper treaty loads.

Gallagher Re: loss-free Japan property-cat renewals down 15% to 25%

Gallagher Re’s First View points to materially buyer-favourable April renewals, with risk-adjusted property-cat reductions on loss-free programmes.

Gallagher Re

Decision Delta

  • Signal: Lower ceded costs may support direct pricing — but only where net retained volatility is unchanged.
  • Functions affected: Property pricing, reinsurance allocation, portfolio steering.
  • Actuary action: Do not pass through reinsurance savings mechanically; isolate exposure, attachment, and retention effects first.

Gallagher Re: Q1 insured catastrophe losses around $20bn

Q1 was moderate in aggregate, not irrelevant. The U.S. still carries much of the burden, and secondary-peril pressure remains an attritional-capital issue.

Gallagher Re

Decision Delta

  • Signal: Benign aggregate quarter with persistent SCS/flood concern.
  • Functions affected: Cat pricing, reinsurance, capital, exposure management.
  • Actuary action: Keep SCS/flood trend loads explicit rather than absorbing them into generic cat assumptions.

NFIP creates a September flood-insurance cliff

NFIP authority is scheduled to expire on 30 September 2026 while the programme covers roughly 4.7m policyholders.

NAR NFIP FAQ

Decision Delta

  • Signal: Regulatory availability and compliance risk are rising into the renewal calendar.
  • Functions affected: Flood pricing, exposure management, lender compliance, ERM.
  • Actuary action: Scenario-test lapse, short extension, delayed closing, and private-market substitution effects.

From arXiv

Lead paper

Distributionally Robust Insurance under Bregman-Wasserstein Divergence

This is the week’s cleanest actuarial methods paper. It treats insurance design under distributional ambiguity, using Bregman-Wasserstein divergence to encode asymmetric uncertainty rather than assuming model error is symmetric and harmless.

The practical actuarial connection is direct: product design, risk sharing, and capital decisions often fail exactly where the fitted model is most confidently wrong. A robust formulation gives actuaries a way to price the ambiguity itself.

Actuarial read-through

  • Pricing: stress the fitted distribution in directions that matter economically, not just statistically.
  • Product design: test whether deductibles, limits, and indemnity schedules remain sensible under misspecification.
  • Governance: document which ambiguity set is being protected against, and why.

Risk Sharing with Comonotonic Constraints

Useful for constrained allocation and dependence-aware risk sharing. The actuarial question is when elegant allocation rules survive real-world dependence restrictions.

arXiv

Market-Consistent Valuation of Health Insurance Liabilities

Relevant to long-duration health insurance valuation, risk-neutral consistency, and liability governance where claims inflation and discounting interact.

arXiv

From the Societies, Regulators, and Carrier Filings

SOA: 19th Annual Emerging Risks Survey

The SOA puts economic and geopolitical risk high on the near-term agenda. It is another sign that actuarial risk work is moving from narrow model accuracy toward strategic uncertainty.

SOA

CAS: new monographs on game theory and extreme value theory

The CAS research agenda is leaning into competitive strategy and tail modelling — exactly the two places where pricing discipline gets tested in a soft market.

CAS

NAIC: cat-RBC work is becoming more peril-granular

NAIC catastrophe-model work points toward wildfire integration and more explicit hurricane/earthquake separation in P/C RBC.

NAIC

Carrier earnings: strong combined ratios, but selective read-through

Chubb, Travelers, W.R. Berkley, and Markel all reported strong underwriting results, but the actuarial benchmark has to normalize for cats, prior-year development, investment noise, and mix.

Practical Takeaways

Do not average the cycle.

Treat property relief, casualty trend, and specialty underwriting as separate pricing problems.

Refresh net views, not just gross rates.

Cheaper reinsurance changes ceded loads, retained volatility, capital, and renewal strategy together.

Price ambiguity explicitly.

Robust insurance design is a useful language for model risk, not only an academic optimisation exercise.

What We’re Watching

  • Whether property-rate softening turns into broad technical-rate slippage or stays mostly reinsurance-driven.
  • How casualty social inflation shows up in carrier accident-year selections as reported combined ratios remain strong.
  • Whether NFIP uncertainty creates pricing, lapse, or private-market substitution signals before September.
  • Whether robust insurance-design papers become usable tooling for ambiguity-aware product and capital decisions.