Asset prices are a valuable source of information about financial market participants.expectations about key macroeconomic variables. However, the presence of time-varying risk premia requires an adjustment of market prices to obtain the market’s rational assessment of future price and policy...

This paper derives formulas for higher order duration measures, including D(1) (i.e. Macaulay duration), D(2) (i.e., slope duration), D(3) (curvature duration), etc. We develop a general iterative method to obtain formulas for any higher order measure D(m), for an arbitrary positive integer...

We derive a simple expression for the sensitivity of duration, convexity, and higher-order bond risk measures to changes in term structure shape parameters. Our analysis enables fixed income portfolio managers to capture the combined effects of term structure level, slope, and curvature shifts...