Description: To address non-parallel movement in the interest rates the concept of key-rate duration was introduced in mid-'80s by Tom Ho. I will define certain key rate metrics, their variation used in the industry, how to calculate them, and an existing industry issue with how they are used. Additionally, I propose a novel technique to calculate key rates to mitigate the problem faced in the industry

Description: To address non-parallel movement in the interest rates the concept of key-rate duration was introduced in mid-'80s by Tom Ho. I will define certain key rate metrics, their variation used in the industry, how to calculate them, and an existing industry issue with how they are used. Additionally, I propose a novel technique to calculate key rates to mitigate the problem faced in the industry

Description: This article will highlight the issue that the sum of key-rate metrics does not add to metrics derived by parallel shift to the entire curve, even at very low shift size. Additionally, in the article I will outline how to define a single rate change to be applied to a key rate (or the entire curve) since the rate changes are generally not level or parallel.

Description: This article will highlight the issue that the sum of key-rate metrics does not add to metrics derived by parallel shift to the entire curve, even at very low shift size. Additionally, in the article I will outline how to define a single rate change to be applied to a key rate (or the entire curve) since the rate changes are generally not level or parallel.

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.