We extrapolate interest rate yield curves for the purpose of discounting very long-dated pension liabilities and insurance contracts. The extrapolation uses a no-arbitrage term structure model estimated on liquid euro swap instruments with maturities between 5 and 20 years. The extrapolation...

We address two empirical issues related to the long end of the yield curve based on euro swap rates. First, for maturities longer than 20 years we find evidence for an `excess' downward slope that cannot be explained by convexity. Second, volatility at the very long end of the yield curve is...

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...