Description: Since most cash flows being discounted in the value calculation are dependent on the forward rates, in the key-rate calculation forwards (not spots) should be shifted. I will show that if spots are shifted up/down, they would not necessarily result in forwards being up/down for all the years in the particular key rate, resulting in unexpected results. I will further show how metrics calculated by shifting forwards versus spots enhance the accuracy of the approximation of projected value in various rate environments.

Description: Duration matching is a risk management strategy, commonly used in the insurance industry, where the duration (price sensitivity to a yield curve movement) of an asset portfolio is adjusted to be made equal to the duration of the liability. However, this approach has flaws. In this essay, I note some key failures of duration matching and offer a potential alternative.