Basis risk is the specific term for the potential mismatch between the loss experienced by an insurer (the ceding company) and the payout from a hedging instrument like an Industry Loss Warranty (ILW). The ILW's payout is triggered by an external, objective parameter—in this case, the total insured loss for the entire industry reaching a predefined threshold. Basis risk arises because the ceding company's individual portfolio of risks may not correlate perfectly with the broader industry index. Consequently, the company could suffer a significant loss that does not trigger an industry-level payout, or vice-versa, leaving it with an imperfect hedge.

A. absolute risk: This is a general term for the total magnitude of a potential loss, not the specific risk of a hedge mismatch.

B. contract risk: This is a broad category for any risk arising from a contract's terms, lacking the specificity of the index-versus-actual-loss mismatch.

C. Loss adjustment risk: This refers to the uncertainty in determining the final settlement amount of a claim, not the risk related to an index-based trigger.

1. Cummins, J. D. (2008). CAT Bonds and Other Risk-Linked Securities: State of the Market and Recent Developments. Risk Management and Insurance Review, 11(1), 23–47. In Section 4, "Basis Risk," the paper states: "Basis risk is the risk that the funds received from the capital markets in the event of a catastrophe will not be sufficient to cover the sponsor’s claims... Industry loss triggers create basis risk because the sponsor’s market share of industry losses from a particular event may be higher than its average market share." (p. 35). https://doi.org/10.1111/j.1540-6296.2008.00133.x

2. Braun, A. (2016). The risk of basis risk in the market for catastrophe bonds. The Journal of Risk, 18(4), 27-57. The paper defines the concept: "Basis risk arises if the payout of a hedging instrument is imperfectly correlated with the hedger’s losses. In the context of cat bonds, this means that the bond’s payout does not match the sponsor’s catastrophe losses." (p. 28).

3. Doherty, N. A., & Schlesinger, H. (2002). Insurance Contracts and Securitization. Journal of Risk and Insurance, 69(1), 45-62. The authors discuss trigger mechanisms and note that with index-based triggers (like in ILWs), "the insurer is exposed to basis risk, namely that its own losses may not be highly correlated with the index." (p. 51). https://doi.org/10.1111/1539-6975.00004