We introduce a robust investment strategy to hedge long dated liabilities under model misspecification and incomplete bond markets. A robust agent who worries about misspecified bond premia follows a min-max expected shortfall criterion to protect against model uncertainty. We employ a backward...

Solvency II requires insurers to calculate the one-year Value at Risk (VaR) of their balance sheet. This involves the valuation of the balance sheet in one years time. As for insurance liabilities closed-form solutions to their value are generally not available, insurers turn to estimation...

We develop a robust optimal dynamic hedging strategy that takes both downside risks and market incompleteness into account for an agent who fears model misspecification. The robust agent is assumed to minimize the shortfall between the assets and liabilities under an endogenous worst case...

Time-consistent valuations (i.e. pricing operators) can be created by backward iteration of one-period valuations. In this paper we investigate the continuous-time limits of well-known actuarial premium principles when such backward iteration procedures are applied. This method is applied to an...

We introduce a robust investment strategy to hedge long dated liabilities under model misspecification and incomplete bond markets. A robust agent who worries about misspecified bond premia follows a min-max expected shortfall criterion to protect against model uncertainty. We employ a backward...

We derive general pricing formulas for Rate of Return Guarantees in Regular Premium Unit Linked Insurance under stochastic interest rates. Our main contribution focusses on the effect of stochastic interest rates. First, we show the effect of stochastic interest rates can be interpreted as, what...

In this paper we show that discrete string models are observationally equivalent to market models. Furthermore, the parsimony of the models is investigated and determined. As a consequence of the observational equivalence we show that discrete string models are a special case of the HJM...