This articles re-examines a standard result on the demand for insurance ("full coverage with a fair premium and partial coverage with a loaded premium"') in the presence of a default risk. It is established that the optimal insurance coverage is always partial coverage if the default is total,...

The foundation of insurance in the frequentist framework is well-understood by experts in actuarial science, insurance and risk management. In the past two decades there has been a surge in the application of Bayesian analysis in insurance. However, the foundation of insurance under the Bayesian...