In this paper, we consider a continuous-time version of a reinsurance chain, which is sequentially formed by $n+1$ companies, with the first company being the primary insurer and the rest being reinsurers. Because of possible model misspecification, all companies are ambiguous about the original...

We solve a Stackelberg differential game between a buyer and a seller of insurance policies, in which both parties are ambiguous about the insurable loss. Both the buyer and seller maximize their expected wealth, plus a penalty term that reflects ambiguity, over an exogenous random horizon....

This paper studies reinsurance contracting and competition in a continuous-time model with ambiguity. The market consists of one insurer and two reinsurers, who apply a generalized expected-value premium principle and a generalized variance premium principle to price reinsurance contracts,...

Cao et al. (2021) consider a Stackelberg differential game for insurance under model ambiguity. In the main body of the paper, they measure ambiguity via squared-error divergence; then, in the appendix, they briefly consider entropic divergence. In this paper, we show a strong connection between...

In a market with stochastic interest rates, we consider an investor who can either (i) invest all of his wealth in a money market account or (ii) purchase zero-coupon bonds and invest the remainder of his wealth in the money market account. The indifference price of the zero-coupon bond is the...

We propose a novel credit default model that takes into account the impact of macroeconomic information and contagion effect on the defaults of obligors. We use a set-valued Markov chain to model the default process, which is the set of all defaulted obligors in the group. We obtain analytic...